LIGO VACUUM EQUIPMENT FINAL DESIGNREPORT
VOLUME II ATTACIIMENT 1. CALCULATIONS
CONTRACT NO: PC175730 CDRL NO: 03 PSI DOCUMENT NO: V049-1-097
PROCESSSYSTEMS INTERNATIONAL 20 WALKUP DRIVE WESTBOROUGH,MASSACEUSNTTS OT58 I VOLUME II ATTACHMENTS ATTACHMENTI t. STRUCTURAL CALCULATIONS
TITLE DOCUMENTNO. REV.
LIGO Vacuum EquipmentStructural DesignCriteria v049-1-066
BeamSplitter Chamber FiniteElement Analysis of UpperSection v049-l-014 0 ASME CodeCalculations for UpperSection v049-l-015 0 FE Analysisof 1 in. Thick Flangefor Bolt Preload v049-l-016 0 FE Analysisof I in. Thick Flangefor Bolt Preload& Pos. v049-l-017 0 Pressure FE Analysisof 3/4 in Thick Flange v049-l-018 0 FlangeDesign for lntemalPressure v049-1-019 0 Designof RemovableWork Floor v049-1-020 0 Designof FlangeWelds v049-1-021 0 FiniteElement Analysis of LowerSection v049-t-022 0 Designof 60 in AccessCovers v049-l-023 0 Designof SupportLegs & BasePlates v049-l-024 0 TemporaryCover for 60 in Nozde v049-l-025 0 Nozzleto ShellWelds v049-l-026 0 Lifting Lugs v049-t-027 0 ShippingLoads v049-l-028 0 BSCDeflections v049-l-029 0 NASTRAN BucklingAnalysis v049-l-040 0 BSC SupportClevis v049-t-069 0
LlGO.C960964-00-V Attachment1 t
TITLE DOCUMENTNO. REV.
Vacuum EquipmentGeneral Structural Calculations VacuumEquipment Seismic Acceleration v049-l-031 0 ComponentInterface Loads v049-l-032 0 BoltedFlange Analysis for TensileForces v049-1-042 0 Designof PipeBridge (Comer Station) v049-l-071 0
Horizontal AccessModule HamVessel Stress Analysis (Finite Element Analysis) v049-1-039 0 Ham VesselBuckling Analysis v049-l-041 0 Designof 60 inch Cover v049-t-073 0 Designof 84 inchCover v049-t-074 0 Designof NozzleJacking Bolt Assembly v049-1-048 0 PROCESSSYSTEMS INTERNATIONAL, INC, ENGINEERING NO:V049-l-066 WESTBOROUGH.MA CALCULATIONS PAGEI OF 3 REV. DEO# DATE BY: CHECK TITLE: LIGO VacuumEquipment o 0136 4t24t96 h2+ t' h^ ri,O Stnrcnral DesignCriteria
BY: R. D. Ciano DEPT-:744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049
PURPOSE: Establishstructural design criteria for LIGO vacuumvessels and supports.
METHOD: ReviewLIGO vacuumequipment specification and design codes to determinerequirements for structuralintegrity.
as,sIJMgIISN&N/A
INPUTS: LIGO projectdrawings and sketches. LIGO E940002-02-V,Vacuum Equipment Specifi cation
REFERENCES:SCeINPUTS
CALCULATIONS:(SEE ATTACHED)
CONCLUSIONS:These LIGO vacuumequipment structural design criteria conform to projectand code requirements.
NOTES: Doc.No. V049-1.066 Rcv.0 P.gc 2 of3 4n 96 LIGO VACUUM EQUIPMENT STRUCTURALDESIGN CRITERIA
DesignCode for Vessels:ASME Boiler & pressureVessel Code, Section VIII, PressureVessels, Division l, 1992Edition through 1994 Addenda
Altemate Design code for vessels:ASME Boiler & pressurevessel code, sectionVIII, Pressurevessels, Division 2, r992 Editionthrough 1994 Addenda
IntemalVacuum = -14.2psig
Positive = Intemal Pressure 2 psig for vacuumchambers. Speciarconditions for 80K cryopumps(see Doc. No. V049-I-050.
MechanicalLoads
r UnbalancedVacuum Loads - Theseloads are imposedat end components,and at branchesin the system.
r ComponentInterface Loads - Equipment shall be designedfor loads from adjacent componentsthat are imposed when gate valves are closed and portionsofthe systemare vented. See Doc. No. V049_l_032.
DesignTemperature = 400oF
= SeismicAcceleration .05625c (ASCE7-98) lateral only, singledirecrion
PressureBoundary Material : SA240, Type 304/304Lstainress sreel for shelrs and SA182, GradeF Type 304L for flange forging. Other specificationnumbers and product forms of Type J04/304L may be used for miscellaneouspressure parts. FlangeBolting Material = SAl93, Gr 87.
BasicStress Limits (SectionVIII, Div. l):
Type304L S = 14.7ksi at 400oF for membranestress = = S L5S 22 ksi at 400" F for membrane+ bending shess
Type304 S = 16.2ksi at 400. F for membranestress = = S l.5S 24.3ksi at 400"F for membrane+ bendingstress
ldc.doc Doc.No. V(Xg-l-066 R.v.0 P.gcl of3 4n4D6 BasicStess Limits (SectionVIII, Div. 2):
Type304L Sm= 15.8ksi at 400. F for primaryMembrane Stress Intensity L5Sm = 23.7ksi at 400. F for primaryBending Sress Intensity 3Sm= 47.4ksi at 4000F for SecondaryMembrane + Bending
Type 304 Sm: 18.7ksi at 400. F for primaryMembrane Stress Intensity l.5Sm : 28.0ksi at 4000F for primaryBending Stress Intensity 3Sm= 56.I ksi at 400" F for SecondaryMembrane + Bending
O-RingSeal Material = Viton 0/4 in)
MaximumDwometer:90 CompressionRange - .059in ro .0g0in (21%to 29 %\ MaximumCompression Force = 160lb/in
ShippingAcceleration
VerticalAccel : lG Horizontal Accel = .5G
Designcode for supports:AISC Manualof steelconstruction, Allowable stress Design,Ninth Edition.
Materialfor Supports:436 shapesand plate, 4500 Gr B tube steel. SeeAISC Codefor allowablestresses.
sdc.doc PROCESSSYSTEMS INTERNATTONAL, INC. ENCINEERING NO: V049-l-066 WESTBOROUCH.MA CALCULATIONS PAGEI OF 3 REV. DEO# DATE BY: CHECK TITLE: LIGO VacuumEquipment 0 0|]6 4/24t96 /121 D l^ ttd StructuralDesisn Criteria
BY: R. D. Ciatto DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049
PURPOSF: Establishslructural design criteria for LIGO vacuumvessels and supports.
METHOD: Revieu'LIGO vacuumequipment specification and design codes to delerminerequirements for structuralintegrity.
ASSUMPTIONS:N/A
INPUTS: LIGO projectdrawings and sketches. LIGO E940002-02-V.Vacuum Equipment Specification
REFEMNCES:See INPUTS
CALCULATIONS: (SEE ATTACHED)
cONCLUSIONS: TheseLlGo vacuumequipmenr strucrural design criteria conform to projectand code requirements.
NOTFS: Doc No V(X9. l{.166 R.v 0 h!.2of3 at24t96 LIGO VACUUMEQUIPMENT STRUCTURALDESIGN CRJTERIA
DesignCode for Vessels:ASME Boiler & PressureVessel Code, Section Vlll, PressureVessels, Division l, 1992Edition through 1994 Addenda
Altemate Design Code for Vessels:ASME Boiler & PressureVessel Code, SectionVIII, PressureVessels, Division 2, 1992Edition tluough 1994 Addenda
InternalVacuum = -14.7psig
PositiveIntemal Pressure = 2 psig for vacuumchambers. Specialconditions for 80Kcryopumps (see Doc. No. V049-l-056).
MechanicalLoads
UnbalancedVacuum Loads - Theseloads are imposed at endcomponents. and at branchesin the system.
. ComponentInterface Loads - Equipmentshall be designedfor loads from adjacentcomponents that are imposedwhen gate valves are closed and portionsof thesystem are vented. See Doc. No. V049-l-032.
DesignTemperature = 400" F
SeismicAcceleration = .05625G (ASCE7-88) lareral only, singledirection
PressureBoundary Material = SA240,Type 304/304Lstainless steel for shells and SA182,Grade F Type 304L for flangeforging. Otherspecification numbers and productforms of Type 304/304Lmay be usedfor miscellaneouspressure parts.Flange Bolring Material = SAl93,Gr 87.
BasicStress Limits (Section VIII, Div. | ):
Type304L s-14.7ksi at 400" F for membranestress S=I .5S= 22 ksi at 400'F for membrane+ bendingstess
Type304 s=16.2ksi at 400oF for membranestress s=| .5S= 24.3ksi at 400" F for membrane+ bendinc stress
idc doc Doc.No. V049-1.066 ,o.l'irl 4n4$6 BasicStress Limits (Secrion Vlll, Div. 2):
Type304L Sm = 15.8ksi at 400" F for PrimaryMembrane Strcss Intensity l.5Sm = 23.7ksi at 4000F for PrimaryBending Strcss Intensiry 3Sm= 47.4ksi at 400. F for SecondaryMembrane + Bending
Type304 Sm= 18.7ksi at 400" F for PrimaryMembrane Stress lnlensity t.5Sn = 28.0ksi at 4000F for PrimaryBending Stress Inrensiry 3Sm= 56.1ksi at 400" F for SecondaryMembrane + Bending
O-RingSeal Material = Viton (1/4 in)
MaximumDurometer = 90 CompressionRange = .058in to .080in (21yoto 29 o/o) MaximumCompression Force = 160lb/in
ShippingAcceleration
VerticalAccel = lG HorizonralAccel : .5G
DesignCode for Supports:AISC Manualof SreelConstruction, Allowable Stress Design,Ninth Edition.
Materialfor Supports:,4.36 shapes and plate, 4,500 Gr B tube steel. SeeAISC Codefor allowablestresses. PROCESSSYSTEMS INTERNATIONAL, INC. ENGINEERING NO:V049-l-014 \I{ESTBOROUGH.MA CALCULATIONS PACE1 OF 16 REV. DEO# DATE BY: CHECK TITLE'Jeam SplitterChamber - FiniteElement o oo24 t z/( /9 t- Atz--z htbt, Analysisof UpperSection
E-?-tZr,+. ' o DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049
PIJBPQSE:To evalualethe uppersection ofthe beamsplitter chamberfor vacuumpressue and lifting loads.
METHOD: Finiteelement analysis of vesselupper section including cylinder, head and lifting lugs. 563nodes and 537 elements.
ASSUMPTIONS:Ring stiffenerand nozzle omitted from analysissince area of interestis shellnear lug.
INPUTS:LIGO projectsketches and drawings. The thickness ofthe cylinderis.25in andthe thickness headis .375in.
REFERENCES:L ASME Boilerand Pressure vessel code, sectionvIII, PressureVessels, Division1 . - 2. Images 3D,Version 3.0, R.L. Cloud & Associates. t" y'art '/7?')'r' t'"t''' "" '" 3,Dae.lc - l-olGt L /6'^ //n")')'r '
CALCULATIONS:(See Attachment)
CONCLUSIONS:Srresses in headand shell in thearea of thelifting lugsare within limits of ASME Code,Section VIII, Div. l. A spreaderbeam should be used when lifting vessel.
NOTES:See stress contour plots atiached. See V049-l-015 for bucklinganalysis per the ASME Code.
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C\ N c-t C.{ (r} Cr) EOI 9ooooooootrio\. a?, H t dt dr l.lr dr dr dr dr rlr dl t= C? (.! A e c..l rr [o ro ix' id ('t at uoE.e :js6ERE+fi8&q 6 (l'r G =o QO? F. =l IffiEDItrIHMt IE A Ft Revision0 Doc.No. V049-t-0t4 Pase16 of t6 PROCESSSYSTEMS INTERNATIONAL, INC. ENGINEERING NO:V049-l-015 WESTBOROUGH,MA CALCULATIONS PAGEI OF 57 REV. DEO# DATE BY: CHECK TITLE: tseamSplitter Chamber - ASME Code 0 _9!2:' t 2//J9i 2d.- ftut y Calculationsfor UpperSection. BY:,I!. D (! tt--o DEPT.:7,14 PROJECT:LIGO VacuumEquipment PROJF.CTNO: V59049 PURPOSE:To determineif the uppersection of the beamsplitter chamber meets Section VIII, Div. I ofthe ASME Codefor vacuumDressure. METHOD:Equations for thicknessrequirements and pressure rating in theASME Code,Section VIII, Div.l areevaluated using the COMPRESS computer program, Version 5.31. ASSUMPTIONS: INPUTS:Vacuum pressule = 14.7psi Designtemperature = 400'F REFERENCES:L ASME Boiler& PressureVessel Code, Section VIII, PressureVessels, Division 1. 2. COMPRESS5.31, Computer Aided Pressure Vessel Design, Codeware Computer Systems, Inc. 3.Doc tJo. /ou?-/-dtt L /da /,t n",J,. lf t,,.,t h/1 .jr-.,irt i btt,,:.... \' .i ,' rrri.r.\t CALCULATIONS:(See Attached) CONCLUSIONS:Requirements of theASME Code,Section VIII, Div. I aremet for the BSC uppersection head and cylinder. NOTES:Nozzle G in lowersection is includedin this analysis.This nozzlepenetrates the l/2 in. shell. No reinforcing pad is requiredby code. rILED \FITEM}LA'AENCFORMS\ENCCAIC C r't ,i (^ 7 /; c, (,. .../.r ,,.7 J J /r) /1 IA.,"l /J /J.:A ,-o (y'l z ,t -t r; ir,z i r'?Pfa faj. r- .- , ,.>-J a /- f', ..: t?!c- ,l ,r 2l /.t" a.,tD13 t aP /r .i .ta D,oZ. o e r'.,/.rJt.z /a.r-1 t t,i t ( /at..r.u Eae,vtt,,, ) t,,.., , t t , .. ,t :; -,. .:: "t- | ,,,?\ e r'(/t)ar?'".1 ,9 ,< a .7 ." !.6 ) pt:. s ^))?ZL.^!l ("hP,'7;tJ /= ',.; t'.tp,? i R!cU,PP24,4L /Je;'z ) 7,,r i ,lz ..'J Z.- t"?''<) Jt..//. /J .24 aL .) 6 i-J G -,,.) ... Z F-L'3 /J Z I s r /.:.J at O 4:4 /,t) r"'t,? (?,.t'".1 =St *r..1 .'.- Revision0 Doc No. V049-l-015 Pase2 of57 6 :F :;g :-..c iEq :i g 3 Ed8 a LJr (t zzr; € C(A / iD or' //l ,,t S // .,: /, <_ Rn o r." , / t\-t -1 t ltl ? * 1/ ? pa..1 P4 ;.t /1 rL I /!lt, 6,ltt //^lJ /48 ?aD/ uJ z- -- f2 7 lj' j' 77 /4.12"' {'t.,.?) L /t 3 e< u/ /2 e ,/ 2'7 J v a,^ .-, ..6 )!:.) 5 : -'t .'- r.! --l +'- trzzz /"t' o{- 4- t'A G t 0a' r?';".J, to-t 4 1/6*C 4^ ty' z .2 " "-e e. Pto 4io') / a ,^.q ./2 a .F { :) Ft rt /Joz e t! ttty'-!. / !4 I r rup fD = aO" '< ,7 r .,../ tt' ll/et e r a"r."."t f ,'n.',o a., ..t. J * f .,-'^,,;,t F 'zz f ; -- '/2 r FeA Vi t r rt r-r C r.t.t u il ,f *t dlf i .O a t..a/* t4 .1 F) 4 !/nn,:a (no,,.,: ('( /) L-, | -:.t t . j ,z \ f , r"on.' I lr, I r- r.+- " I '::.l:l-'..:=:=- ar a'2 h) iz .'J € 4 DO. Ft J O ,t ,r.z_ 6 y'a I t//€ t r- c ,,t u.< J,i.t ,,.F I I d.t 'i u/ eqg_/ _Oz4 Reiision0 DocNo. V049-t-015 Prse4 ofST //D*tr.- C'' ( lota;z'c O,r' /.) t.. ,... .//" ) tZ .r o t.s t {/,.2. e dra P/L..< ,/T rz f -? !- ?. )r -( v:f-a- o60 /,/,7 Pt.' (,r, /'G-\ n /t.rlr)\ l) \l-/ /.93.{ tB F7.t , l,-.t,; , j /..< ,a4c. ,-'7 t . ? j 7, t' f : ', r'i.t r) .' / t) ,?-? A ,? 6 .;: ts, (- ,t' ; ?2.! ,r' -r 1.-i ./r .! 4 , /.4 /./," ' t.i t PL: g u7. t .- 4 lt I -tr t=4;."t 1',:a74,t!! Frr, '-' " ; ('i .- ., ,.- .s /*7 6., . ,t-t . - t' ,) ,,lrl,- Y' h/z,os t-.,a.Z,a */o 2. F..aa F t.t tj,/ ( a,,ot,.r '/ ? lJ.?( t.;a*.,:! Revision0 DocNo. V049-l-lll5 Page5 of 57 C0MPR-ESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19,1995 TopHcad - BSC ASME ScctionVIII Division l. 1992Edition. A93 Addcnda Componcnt: F&D head Matcrial specification : SA 240 3O4LHIGH Intemaldcsign pressurc: P : 2 psi @ 400 deg F Externaldcsign pressure: Pe: L4.7 psi@ 4@ dcg F Corrosionallowance: Inner C : 0 Outcr= 0 in PWHT is not performed Radiography: CatcgoryA joints - SpotUW- I I (b) rypc I Headto shellscam - SpotUW-11(b) typc I Estimatcdweight: ncw : 1232.9 con : 1232.9 lb capacity: new= 468.96 corr: 468.96 USga ID: 104.25crown L = 105 knuckler:6.5 t = .375 in (min) Straightflange = 2 formingallowancc = 0 ln Dcsignthickncss: {At 400 degF) Appcndixl-4(d) Eq 3 }{=.25*(3+ (L/r)^.5) = .25"(3+ (105/6.5)^.5) : 1.7548 t: P*L*M/(2*S*E- 0.2*P) * Corrosion* fa : 2*105*1.7548/(2+14700*0.85- 0-2*2) -t- 0 l 0 = 0.0147in MAP: (Ncw & at 0 dcg F) Appcndixl-4(d) Eq 3 P :2*S*E*t/(L*M + 0.2*t)- Ps : 2*16700*0.85*0.375/(105*1.7548+ 0.2*0.375)- 0 : 57.75679psi MAWP: (Corrodcd& at 40Odeg F) Appcndixl-4(d) Eq 3 P : 2*S*E*V(L*M+ 0.2*t)- ps : 2*14700*0.85*0.375(105*1.7549+ 0.2*0.375) - 0 = 50.83981psi ExtcrnalPrcssure: (Corodcd & at 400 dcg F) UG-33(e) A: .125/(Ro/t) : .r25/ (105.37s/0.32589) = 0.ffi0387 j?'s' o From tablc HA-3: B : 4755.5 Dc- y'o'r7-,-t'i Page 6 E'' t'7 COMPRESS5.5I C:\C5\BSCUPPER.VSL Dcc.19, 1995 Top Hcad - BSC Pa: B/(Ro/t) : 475s.s /(tos.37 sI 0.32s89) - 14.7072psi Checkthc cxtcrnalprcssurc pcr UC-33(a)(1) t = 1.67*Pa*I-o*M/(2*S*Et 1.67*Pa*(M-0.2)) -- | .6't* | 4.'t07 2* 105.375* | .7548 I(2* | 47N* | 1 | .67* 14.7 07 2+( 1 . 7548-0. 2) = 0.154277in Dcsisn thickncssfor extcrnal prcssurePa : 14-7072 psi: =tl Corrosiont fa :0.32589r0+0 = 0.32589in Maximum Allowablc Extcrnal Prcssure:(Corroded @ 400 deg Fl A : .125/(RoA) -- .r25| (105.375I 0.3't s) : 0.000445 Fromtablc HA-3: B :4873.8 Pa: B/(Ro/t) = 4873.8/(10s.37' YA37s) = 17.3445psi Chcckthc MaximumExtcrnal Prcssure: UG-33(a)(l) & App. l-4(d) Pc: 2*S*E*t/((tr1*1-6- 1*(M-0.2))* l.67) : 2*1 4700* 1*0 .37 5 | ((1.7 548* 105.37 5 - 0.375 x( l .7548-0 .2))+ 1.67 ) = 35.81529psi Themaximum allowablc extcrnal prcssure is 17.3,145psi. /(t " u 7)a. /J".t'/o'''9-t-or( Page 7 o- r'1 cotIPRESS 5 . 31 c: \C5\BSSUPPER.VSL ,// "t. , ,. . ., /. cn 7,../ /? 44 4j zJ Top Head - BSc ,t2;rt..:a /3/ ,/rz' Component: F&D head Material specification: sA 240 3o4L HIGH Internal design pressure: p=2 psi 0 4OO deg r External design pressure: pe= L4.7 psi € 4oo deg F Corrosion allo\,Jance: Inner C = O Outer= 0 in PWHTis not perforned Radiography: category A joints - Spot Uw-11(b) type L Head to shell searn - Spot ItW-1"L(b) type 1 Estirnated weight: nebr= 1L28.8 corr = 1128.8 1l^ ...: Yr.,.. i +r' ' new = 468.96 corr = 46a.96 US ga = ID L04.25 crown L = L05 knuckle r : 6.5 t = .34375 in (nin ) Straight flange = 2 forning allowance = 0 in n.,.. | ..) ' D WARNING! F&D head qeonetry is not per Uc-32(i). I =.,tll -t- M=.25*(3+(L/r)".5) ^.5 : .25* (3 + ( L0516.5) ) = L.7548 t = P*L*M/(2*S*E - 0.2*p) + Corrosion + fa - 2*105*l_.754e/(2*I47O0*0.85 _ O.2r.2\ + O + O = 0.0L47 in P : 2*S*E*I/(L*NI + 0.2*t) _Ps - 2*16700r.0.85r.0.34375/(7O5tL.?548 + O.2*O.343?5) _ = 52.94551 DSi P = 2*S*E*t/(LfrM + O.2*t) - ps = 2*147O0*0. I5rt0 . 34378/ (IOS*1..754A + 0.2*0.34325 ) - - 46.60474 Dsi A : .125/(F.o/t\ = .I25/ (1o5.3438/0.325se) Revision0 Doc No. V049-1-015 Pase8 of 57 couPREsS 5. 31 C: \C5\BSC[ PPER.VSL Iov. 9, 1995 Top Head - BSC = O.000387 Frorn table HA-3: B = 4754.a Pa= B/(Ro/t) = 4754. I / (Los. 3438/o.32589 ) = 14.7094 psi check the external pressure per UG-33(a)(1) t = 1 . 67*pa*Lo*M/( 2*S*E + 1.62*pa*(M_0.2) ) = I.67*I4.Z094trl-05.3438*L.j54B/(2*I47OOr.L + L.67*j.4.Z094tt(I.7S4B_0.2)) : 0.154254 in Desigm thickness for external pressure pa = 14.ZO94 psi: =t+Corrosion+fa =O.325a9+0+0 : o.32589 in Uaximun Allowable External pressure: ( Corroded g 4OO deq F) A = .L25/(Ro/t) = .125/ (Los.3438/O, 34375) = 0.000408 Fron table HA-3: B = 4797.2 Pa= B/ ( Ro,/t ) = 4797.2/ (L05. 3438/0. 34375) = 15.6539 psi Check the Maxinun External pressure: UG-33(a)(1) & App. 1-4(d) pe= 2*s*E*t / ( (t4*Lo _ t* (M_o.2 ) ) *1 . 57 ) = 2*14700*1to.34375/( ( 1 . 75 4 I rr1 O 5 . 34 3 8 _ O.34375*(!.7 548_0.2 ) l*r.671 : 32.83179 psi The maxirnurnalLowable external pressure is 15.6539 psi. Revision0 Doc No. V049-t-015 Pase9 of57 CoMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19,r995 Uppcr Cylindrical Shcll - BSC ASME Scction VIII Division l. la92 Edition- A93 Addenda Component: Cylindcr Materialspecifi cation: SA 240 3O4LHIGH Internaldcsign prcssure: p = 2 psi6 466 degF Extcrnaldcsign pressurc: pe= 14.7 psi q 44q degf' Conosionallowancc: Inner C = 0 Outer=0 in PWHT is nor performcd Radiography: CatcgoryA joints - SpotUW-l l(b) tlDc I CaregoryB joints - SpotUW_t l(b) t!,fc I Estimatcdwcight: new- 1428.1 con:7428.1 lb capacity: new: 2217.O78corr : 2217.078 USga ID : 104.25 lengthLc: 60 t : 0.25 in (ncw) Dcsisntlickncss: UG-27(cXl) Circ. stress t: P*R"/(S*E- 0.6*P) | Corrosion = 2_*52.1251O4700*0.85- 0.6*2) I 0 : 0.0083in MAP: (Ncw & at 0 dcg F) UG-27(cXl) P:S*E*t/(R+0.6*t)-ps : 1q7plgr85i0.2s/(s2.12s+ 0.6*0.2s) _ 0 : 67.88618psi P=S*E*V(R10.6*t)-ps : 147_00*0.85*0.251(52.125+ 0.6*0.25) - 0 = 59.7561psi LtDo = 37.901311104.75:0.3618 Do/t : 104.75/0.2389'1 : 438.339s From tablcG: A :0.000425 From tableHA-3: B : 4834.6 Pa= 4*B/(3*Do/t) - 4* 4834.6| (3* tM.7 5I 0.23897) = 14.7058psi Dcsign thickncssfor cxtcrnal prcssurcpa : 14.7058 psi: = o t * Corrosion i7;'t ' 7 : l7t.i- t- t 0.23897+ 0 Do, ,t-.1" Pagc to "' t 1 COMPR-ESS5.51 C:\C5\BSCUPPER.VSL Dcc. t9, 1995 Uppcr Cylindricat Shcll - BSC = 0.23897in Maximum Allowablc Extcrnal Prcssurc:(Corrodcd @ 400 dcg F) L/Do : 37.9013111A4.75:0.3618 Do/t = 104.7510.25= 419 From tablc G: A = 0.000452 From tablcHA-3: B : 4887.2 Pa: 4*B/(3*Do/t) : 4* 4887.2 I (3* l0/..75 I 0.25) = 15.5519psi K:v. ;) y'; rt9- t- irf Doe. t/l Pagc rt p' Yz COMPRESS5.5I C:\C5\BSCUPPER.VSL Dcc. 19, 1995 Shcll Stiffcncr Stiffcning Ring CalculationsPcr UG-29 ASME ScctionVIII Division l- l9o2 Edition, A93 Addcnda Idcntificr: ShellStiffener Ring matcrialspccification: SA 2403O4L HIGH Numbcrof ringsin this group: I Distanccfirst rins to datumline: 110in Ringspacing: 0in Ring dcscription: 4x4x7l4Equal Anglc Rins is rollcd: lcg out (easv- wav) Rin! crossscctional aroa: As : l.-94in'2 Ring momentof inertia: Ir : 3.04in^4 Calculdtionsfor ring ll0 in from datum Shellmatcrial spccification: SA 2403O4L HIGH Rcquiredshcll thickness: 0.23897in Corrodcdshell thickness : ts: 0.25in Shellouter diametcr: Do= 104.75in Designtempcraturc: 400dcg F Extcrnaldcsign nressurc: P=14.7psi Stiffenersupiorierl length : Ls= 33.95065in B : .75*(P*Do/(t+ As/Ls)) st(0.238e7 I 1.e4l33.e5065)) = r1t#11/"t*.7 From tablcHA-3 (ring) A: 2.949634E-M Rcquircdmoment of incrtia of thc combincdring-shell scction -f Is= (Do^2*Ls*(t^ As/Ls)*A)/10.9 = (lo43 5 2*33.95065 *(0.23897 -t 1.9 4 | 33.95065) *2. 949634E-04y t 0.9 : 2.985063in^4 Availablcmoment of incrtia of thc combinedrinq-shell scction Shcllwidth contributing smaller of = 5.62911 W = l.l*Sqr(Do*ts) : l.l*Sqr(104.75*0.25) : 5.62911in W : Ls = 33.95065in Shcllarea Al : W*ts = 1.407277in^2 7,ru a Distanccto the ring ncutralaxis ''" J' Do, tl. t/,''/2' '/ Pagc /2 o,. s7 COMPRESS5.5I C:\C5\BSCUPPER.VSL Dcc. 19,1995 Shcll Stiffcncr Y2 = RinsNA + tsi2 : 1.09i A.2s/2 : 1.215in Neutralaxis of combincdsection NA = As*Y2l(Al -t As) 1.94*1.215t(1.407277 + 1.94) .7ML842in Incrtiaof thcshell about thc combincd section NA Il=w*ts"3/12+Al*NA^2^ = 5.62911*0.25 3 I 12 + 1.407277*0.'1041842^2 : .7051639in^4 Inertiaof thc ring aboutthc combinedsection NA t2:k I As*(NA_y2)^z = 3.04-t- 1.94*(0.7041842 - 1.215)^2 : 3.54621in^4 TotalavailablcI = Il I 12= 4.251373in^4 Thc 4x4x1/4Equal Anglc vacuum stiffener is satisfactory. /(t t c? t , ]- /O 't; ' /'t.) Pagc t= , f7 'cs i?". ,' s/, F'r;..,)'< a ,^ -!., .,' d. ? ' '-,1 tr..'.L 4 -/ @ , /)L-ro UQ /p 72, 2 ,.1 , ,/- 7 a'./ 7 t.z,' 4 . 4 I >-a @'/ s-rlt ?,.JG tt-, lr,,J L, / E\ '-5,' /) //2t..a. i Jt -- I/ /2. t,t.7/=;,) . // z z///,J .,/ )ttnrt, - .c/ p/r >o = ,,.t /rn) 17,r-) : ?L3 LB L/ .4 ,/ r,) / .t4 ., -'j - ,2,/1 al J .t ../.) lt (/ F . / t2g. ' g.(* t,) : t?( z.e A;, .t ,4 -,.tA 7-^n. 1- '4' '- /r'd' Z t( D ///,{i.1 )",- E /Zl! : 13 Datas( .'4- z^, , s-3 1 'J:f (tY'>aa) -- E r't t'r" t r - /y'r,t .,.) .t . 4, t.+L- /5 ,/r /ue- z. l) ,/.r, .;-.'-'a - I'/ s4: t..r 2 @ / .,,t Ji4 1 Rt,t O P. " P,1 /a Lly'- r-'t; t P, ,:t -- ^; \-7 COMPRESS5.5I Dcc. 19,t995 ASME ScctionVIII Division l. 1992Edition- A93 Addcnda Componcnt: Cylindcr Materialspccification: SA 240 3O4LHICH -- Internaldcsign pressure: P 2 psi @ 400 deg F Extemaldcsign pressurc: Pc= 14.7 psi @ 400 degF Corrosionallowance: Inner C : 0 Outcr: 0 in PWHT is not performed Radiography: CategoryA joins - SpotUW-l l(h) g'pc I CatcgoryB joints - SpotUW-l l(b) typc I Estimatcdwcight: new:3817.3 con = 3817.3 lb capacity: new = 2956.1O4corr : 2956.1O4 US ga ID : 104.25 lcngthLc= 80 t : 0.5 in (new) Dcsignthickncss: UG-27(cX1) Circ- stress t: P*R/(S*E-0.6xP)| Conosion : 2*52.1251(14700*0.85- 0.6's2) J 0 : 0.0083in MAP: (Ncw& at 0 dcgF) UG-27(cXl) P: S*E*I/(R+ 0.6;t1- rs = 16700*0.85*0.5t(52.125+ 0.6*0.5) - 0 : 135.3839psi MAWP: (Corroded& at 400 dcgF) UG-27(cX1) P:5*B*Y1B+0.6*t)-Ps : 147@*0.85*0.5t(52.125+ 0.6*0.5) - 0 : 119.1702psi ExternalPrcssure: (Corrodcd& at 400 des F) UG-28 L/Do : 801105.25:0.7601 Do/t : 105.2510-39747: 3a2.3098 Fromtable G: A : 0.000288 Fromtablc HA-3: B : 3807.2 Pa: 4tB/(3*Do/t) : 4*3807.2 | (3* 105.2510. 30747) : 14.8295psi Dcsign thickncssfor cxtcrnal prcssurcPa : 14-8295 psi: R'z v c = t * Corrosion : 0.30?47-t' 0 Pet . tJ,' ,'aut-)-(^/r Pagc t y ",. COMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19, 1995 Main Scction Cylindcr = 0.30747in Maximum Allowablc Extcrnal Prcssurc: (Corrodcd @ 400 dcg F) L/Do : 80/105.25:0.7601 Do/t : 105.2510.5: 210.5 From tablcG: A = 0.000587 Fromtablc HA-3: B = 5117.2 Pa: 4*B/(3*Do/t) = 4*51l7 .21(3*105.2510.5) : 32.413psi /(,; t/ U :- ^,- t/t",t9-/-O't-' L,.0, tr r Pagc tt- a- rt COMPRESS5.5I C:\C5\BSCUPPER.VSL Dcc,t9, t995 Nozzlc E Opcning N-E RcinforccmcntCalculations Pcr UG-37 lncated on: UpperCylindrical Shcll - BSL Localvcsscl thickness: .25in Liquid statichead included: 0 psi Flangedescription: 14inch75# SO A240304L ANSI 816.47 flangerating MAP: 115psi ANSI 816.47 flangerating MAWP: 80psi Nozzlematcrial spccifi cation : SA 2403O4L HIGH Padmaterial spccification: SA 2403O4L HIGH Nozzleoricntation: 45 dcgrces End of nozzleto shellcenter: 55.875in Nozzleoffsct from ccntcrLo: 0in Projectionoutside vessel Lpr: 3.5in tn -> coffosion allo9J = 0 in L dp->| noz th ick newtn= .i2 in I twl I nozzle id. newd= 13.75in -> pad = [ l RcinforccmcntCalculations For Nozzlc MAWP Limits of rcinforccmcnt UG-40 Parallelto thc vcsselwall d : 13.75in Normalto thc vesselwall outside2.5*(tn-Cn) * te : .55 in Normalto thc vessclwall inside2.5*(tn-Cn-C) = .3 in Nozzlc rcquircd tlickncss trn: P*Rn/(Sn*E- 0.6{'P) : 2*6.8751(14'100*l- 0.6*2) : 0.0009in Rcquired tlickncss tr from UG-37(a) fr= P!*R/(S*E- 0.6*P) : 2*52.12541n00'i1 - 0.6*2) 2;rt O : 0.0071in '"-ot! Dor. ilo 1"2'/f Arca requircd Pa,gc/r- a' t7 COMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19, 1995 Nozzlc E Allowablcstrcsses: Sn: 14700,Sv = 14700,Sp: 14700psi frl = lesserof I or Sn/Svso frl :1 fr2 : lcsscrof I or Sn/Sv so fr2 : I fr3 = lesscrof fr2 or Sp/Svso fr3 : I fr4 = lesscrof I or Sp/Svso fr4 = I A : d*tr*F + 2*tn*tr*F*(l _frl) = 13.75f0.0071,r.1"i 2*0.12*0.0071*l,F(l - 1) : .0976in^2 Arca availablc Al : largcrof the following : 3.34 in^2 = d*(EI *t_F*tr)_ 2*tn*(E1*t_F*tr)*(l_frl) : l3-75*(1*0.25- I *0.0071) - 2*0.l2x(l *0.25-1 x6.6671)*(l-l) : 3.34 in^2 : 2*(t1 rn)*(El*t-F*rr) - 2*tnx(E1*t-F*tr)*(l-frI) : 2* I 0.I 2)*( I *0.25- I *0.007 1 - 2*0.12* (l*0.25- 1 *0. 007 l)*( I - I - r o\0.25 :-"/) ) ) A2 : smallcrof tbcfollowing : 0.131in^2 : 5*(tn- trn)*fr2*t = 5*(0.12- 0.0009)*l*0.25 = .149in^2 = 2*(tn- rrn)*(2.5*tn* te)*fr2 = 2*(0.12- 0.0009)*(2.5*0.12 + 0.25)*l : .131in^2 A4l : l*g'2*fr3 : 0.125^2*1= .016in^2 442 : l*g^Z*fr4 : 0.25^2*l: .063in^2 A5 : (Dp - d - 2*tn;'t6't1r4 : (20- 13.75- 2*0.12\*0.25*l : 1.5025in^2 Area:Al 1r'.z+ A41+ A42 tA5 : 3.34+ 0.131I 0.016+ 0.063+ 1.5025 : 5.0525in"2 As Area ) A the reinforcementis adcquatefor MAWP = 2 at 4CDDeg F Chcckthc wclds- From UW-16(cX2l O = ft.r' tr' InnerFillct: tmin lcsscrof 0.75_or_tnor tc, tmin:0.l2in /1,/l_ / -a tw(min): 0.?*tmin= 0.084in Dee s u Page t7 ait' t1 C0MPRESS5.51 C:\CS\BSCUPPER.VSL Dcc. 19, 1995 Nozzlc E tw(actual)= 0.7*Le8: 0.?*0.125: 0.0875in OuterFillct: tmin = lcsserof 0.75 or te or t. tmin : 0.25 in tw(min): o.S*tmin= 0.125in tw(actual): 0.7*I,€g= 0.?*0.25= 0.175in UG-45 Nozzle Ncck ThickncssCheck Wall thicknessper UG-45(a): trl : 0.0009in (E = l) Wall thickncssper UG-45(b)(l): tr2 = 0.0071in Wall thicknessper UG-16(b): tr3 : 0.0625in Stdpipe wall per UG-45(b)(4): t4 : 0.328125in The greatcrof tr2 or tr3: tr5 : 0.0625in The lesserof tr4 or tr5: tr6 : 0.0625in Req'dper UG-45is thc largerof trl or tr6 : 0.0625in Availablcnozzle wall thicknessncw, tn : 0.12 in The nozzlcncck thickness is adequatefor MAIYP. Allowablc strcsscsin joints UG-45(c) and UW-|S(cl Groovcwcld in tcnsion= 0.74*147Co: 10878psi Nozzlcwall in shear: 0.7*14700= 10290nsi Inncrfillct wcld in shcar: 0.49*14700= 2203psi Outerfillct wcld in shear= 0.49*14700: 7203psi Strcngth of weldedjoints: (1) Innerfillet weld in shcar (Pi/2)*NozzlcO.D.*Leg*Si = 1.57*13.99"0 .125*7203 : 19776.I 1 lbf (2) Outcrfrllct weld in shear (Pi/2)*PadO.D. *I.eg*So : 1.57*24*0.25*7203 : 56543.55lbf (3) Nozzlewall in shcar (Pii2)*Meannozzle dia.*tn*Sn = 1.57*13.87*0.12*10290: 268E8.88 lbf (4) Groovcweld in tcnsion (Pi/2)*NozzlcO.D.*tw*Sg : 1.57*13.99*0.25*10878: 59731.91 lbf I-oading on welds pcr UG-4l(bXl) W : (A - (d - 2*tn)*(El*t - F!tfi'))*Sv : (0.0976- (13.75- 2r'0.12)'t(l'+0.25- l't0.0071))*14700 :-46804.49lbf w1-l - (A2 | A5 + A4l + A42)*Sv = (0.1311 1.5025I 0.016l-0.063)*14700 = 25173.75lbf W2-2= (A2 I A3 I A4l + A43 J 2*tn*t*frl)*Sv Page rt o,-- 17 COMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc.19, 1995 Nozzlc E =(0.13110+0.016+0+ 2*0.l2*0.25*l)'k14700 :3U2.9tbf W3-3 = (A2 + A3 J A5 -l A4l + A42 + A43 + 2*tn!tt*frl)*Sv : (0.131r-0 + 1.5025+ 0.016l-0.063 + 0 1 2,10.12*0.25*l)*14?00 = 26055.75lhf Loadfor path l-l lesserof W or Wl-l :-46804.49 lbf Pathl-l Thru(2) & (3) = 56543.55+ 26E88.88= $a32.43tbf Path l-l is strongerthan W so it is acceptableper UG-41(b)(2). Loadfor path2-2 lcsscrof W or W2-2 :-46804.49 lbf Path2-2itnu tt), (4) : 19776.11+ 59731.91: 79508.02lbf Path2-2 is strongerthan W so it is acceptablcpcr UG-al@)(2). l,oad for path3-3 lesserof W or W3-3 :-46804.49 lbf Path3-3 Thru (2), (a) :56543.55 + 59731.91= 116275.5lbt Path3-3 is strongerthan W so it is acceptablepcr UG-41(b)(2). Padstrength : A5*Sp :22086.75tbf Outcrfillct wcld strengthis adcquate. Rcinforccmcnt Calculationsfor External Prcssure Limits of rcinforccment UG-40 Parallclto the vesselwall d = 13.75in Normalto thc vesselwall outside2.5*(tn-Cn) * te : .55 in Normalto thc vesselwall insidc2.5*(tn-Cn-C) = .3 in Nozzlcrcquircd thickness LiDo=3.5113.99=.2542Do/t: 13.99/0.03032: 461.4116 Fromtablc G: A = 0.000587 Fromtablc HA-3: B = 5117.2 Pa= 4*B/(3*Do1t) : 4*51r7 .2t (3* I 3.99i0.03032) = 14.7871psi Nozzlerequircd thickness trn : .03032in Rcquircdthickncss tr from UG-37(d)(l) : .239 in Arca rcquired Allowablestresses: Sn = 14700,Sv : 14700,Sp : 14700psi frl : lesscrof 1 or Sn/Svso frl :1 : : fr2 lesscrof I or Sn/Svso fr2 I f?a ,l O fr3 : lcsscrof fr2 or Sp/Svso fr3 -l fr4 : lcsscrof I or Sp/Svso fr4 :l ?or. A)o y'(,C_ r_ al t Page /, CoMPRESS5,51 C:\C5\BSCUPPER.VSL Dcc. 19, 1995 Nozzlc E A:0.5*(d'rtr*F + 2,r.tntr*F*(l- frl) = 0.5*(13.75*0.239*l+ 2*0.12*0.239*1"(l - 1)) : 1.6431in^2 Areaavailablc Al = largcrof the following : .151in^2 = d,e(EI *t-F*tr) - 2*tn{,(El,tst-F*tr)'8(l-frl) = 13.75*(1*0.25- I *0.239) - 2*0. l2*(1 *0.25-l *0.239)*(l-l) : .15lin^2 : 2*(tJtn)*(E|*t-F*tr) - 2*tn*(El*t-F*tr)*(l-frl) = 2*(0.25| 0. 12)*(1*0.25- l*0.239) - 2*0.l2*(1*0.25- 1*0.239)*(l- l) : .008in^2 A2 = smallcrof the following = 0.099in'2 = 5*(tn - trn)*fr2*t : 5*(0.12- 0.03032)*l*0.25 : .ll2in^2 : 2*(tn- trn)*(2.5*tn't tc)*fr2 : 2*(0.12- 0.03032)*(2.5*0.121 0.25)*l : .099in^2 A4l : l*g^2*fr3 : o.125^2*1: .016in^2 A42: l*s.^2*fr4 : 0.25=2*l: .063in^2 ,q5 : (Dp - d - 2*tn)*tc*fr4 -- (20- 13.75- 2*0.12)*0.25*l : 1.5025in^2 Area=Al1A2+ A411A42+A5 = 0.151+ 0.099t 0.016+ 0.063+ 1,5025 : 1.8315in^2 As Area) A thereinforcement is adequate for Pe = 14.7at 400Deg F UG-45 Nozzlc Ncck ThicknessCheck Wall thicknessper UG-45(a): trl = 0.03032in (E = l) Wall thickncsspcr UG-45OX2): 12 -- O.O522in Wall thicknessper UG-16(b): tr3 = 0.0625in Stdpipe wall per UG45(bXa): tr4 : 0.328125in The grcatcrof tr2 or tr3: b5 = 0.0625in Thc lcsserof tr4 or tr5: tr6 : 0.0625in 7'a 0 = Rcq'd pcr UG-45is thc largcrof trl or tr6 0.0625in / r/r- /' or'- Pagc t r COMPR_ESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19,1995 Nozzlc E Availablcnozzlc wall thickncssncw, tn = 0.12 in The nozzlcncck thickncss is adequatcfor Pc. R',t O Do, Nn. y't"l 9- Page COMPRESS5.5I C:\CS\BSCUPPER.VSL Dcc. 19,1995 NozzlcE Pr : 2183lbf Circumfcrcntialmomcnt Mc : 0lbf-ft Circumfercntial shear Vc:0lbf Longitudinal moment ML :0lbf-ft l,ongitudinalshear VL : 0lbf Torsionmomcnt Mt : 0lbf-ft Internalprcssure P:2psi Strcsscsat thc nozzle OD per WRC bulletin 107 ( psi) N{eanradius Rm : 52.25in Rm/t = 104.5 Stressconccntration factor Kn (tension) : I Stressconccntration factor Kb (bcnding) = | Pressurestrcss intcnsity factor, Farr cquation1l 5 | : .25*(4 + 3*(r/x)^2 + 3*(r/x)^4) : .25*(4 + 3*(6.875t7.12)^2J, 3*(6.875t7.12)^4) : 2.35r Local circ. prcssuresfcss = I*P*Rm/t : 491 psi Local long. pressurcstrcss : P*Rm/2t : 104psi Maximumcombined stress :-4686 psi Allowablccombincd strcss : l- -3*S : +- 44100psi The maximumcombincd stress is within allowablclimits. Maximumprimary mcmbranc stress =-1154 psi Allowableprimary membrane stress = +-1.5*S : +- 22050psi Thc maximumprimary mcmbranc shess is within allowablelimits. fuao Doe. A)o, y'?qr-t-ati PaEc ?z o'' s7 CoMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc.19, 1995 Nozzlc E Fron Value beta Fig. read BI Cu cl Du DI 3C*110.677 [0.117 -892 -89? -892 -892 4C*115.057 l0.It7 -1258 -1258 -1258- 1258 tc 10.0765I0. n7 -4008 4008 -4008 4008 2C-110.044010.117 -2305 2305 -2305 2305 3A*14.I315 10.117 IA 10.077410.117 38* 1il.036l0.ll7 lB-l10.028110.I17 pressurestres s* 491 491 491 491 491 491 491 491 Totalcirc stress -3072 1538 -307? 1538 -4409 2 C,l7 -4409 3607 Primarymembrane circ stres s* -767 -767 -767 -767 -401 ,n1 -401 -401 3C*110.677 l0.tI7 -892 -892 -892 -892 4C*1I5.057 10.117 - 1258 -1258 -1258 -1258 lC-110.0744I0.lt7 - 3898 3898 -3898 3898 ?c 10.046710.117 -2447 2447 -2447 2447 4A*I7.5665 10.117 2A 10.0389l0.l17 4B*14.0872 10.117 28-110.038510.117 pressures tres s* 104 104 104 104 104 r04 t04 104 Totailong stress -4686 2l tn Aeoc 3tl0 -3601 1293 -3601 1293 Primarymembrane long stress* - 788 -788 -7S8 -/att' -1154-1154 -1154-1t54 tors i on momentl'lt Circ shearfrom Vc Longshear from VL -ittal sh-earstress Combinedstres s -4686 3r10 -4686 3110 -4409 3607 -4409 3607 P,z,t D -'/ - Dpr.,1/r. Vo'/' /' -r Pagc ?t r 11 COMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19, 1995 Nozzlc E Strcsscsat thc pad cdgc pcr WRC bullctin 107 ( psi) Mcanradius Rm : 52.25in Rm/t: 209 Stressconccnffation factor Kn (tension) : 1 Shessconccntration factor Kb @cnding): I Pressurestrcss intensity factor, Farr equationI 1.5 | : .25*(4 + 3*(r/x)"2 + 3*(r/x)^4) -_ .25*(4+ 3*(6.875n0.25)^2| 3x(6.875/10.25)^4) - I /0n Localcirc. pressuestress : I*P*Rm/t = 622 psi Local long. prcssurcstrcss : P*Rm/2t : 209 psi L{aximumcombined sfcss :-13222 psi Allowablccombined strcss : 1 -3*S : +-.14100psi Thc maximumcombincd stress is within allowablclimits. N{aximumprimar} mcmbrancstrcss :-3300 psi Allowahlciu'imar! mcmbrane stress : +-1.51S: +- 22050psi The maximumprimary membrancstress is within allowablelimits. -\/') /(u' 't c :-\ lr, ..'tv9-/-t'' tDc /rt .. Pagc ?v :' 'i COMPRESS5.5i C:\C5\BSCUPPER.VSL Dcc. 19, 1995 Nozzlc E From Value Fig' read BI Cu a-l Du DI 3C*18.225s 10.167 -1375 -1375 -1375 -137s 4C*120.996 10.167 -3509 -3509 -3509 -3509 lc 10.059510.167 -12469 t2469 -t2469 12469 2C-110.0r4810.t67 -3t02 3102 -3102 3I02 3A* |6. 4789 10. I67 1A 10,055310.167 38*113.437 10.167 iB-110.010410.167 pressurestre s s* 62? 6?2 6?? 62? 622 6?2 62? 622 Totalc irc stress -5989 215 -59S9 2t5 -1322? 11716-1322?11716 Primarynembrane circ stress* -2887 -2e87 -2887 -2887 -753 -753 -753 -753 ?a* 8.22550.167 -137s -1375-1375 -1375 4C* 20.996 0.167 -3509 -3509-3509 -3509 tc-10.03900.167 -8173 8173 -8173 8173 2C 0.0353 n t 47 -7398 7398 -7398 7398 4A* 17.794 0.I67 ZA 0.0238 0.167 , D* 5.777t0.167 28-l 0.0144n 16.7 pressurestre s s* 209 209 209 209 209 209 209 209 Total long stress -9339 7007 -9339 7007-10698 4098-10698 4098 Prinarymembrane longstres s* -1166 - 1166 -r r66 -1166 -3300 -3300 -3300 -3300 torsion momentli|t Circ shearfrom Vc Longshear from VL -ToEl-SFear stress Combinedstres s -9339 7007 -9339 7007-t3??z tt7t6 -13??2 11716 F,tt O t/av1-t-0 Voa '/J o Pagc ? t- .:'- CoMPRESS5.51 C:\C5\BSCUPPER.VSL Dcc. 19,t995 Nozzlc G Opcning N-G Rcinforccmcnt CalculationsPcr UG-37 Locatedon: MainSection Cylinder Local vessclthickness: .5in Liquid statichead included: 0 psi Flangcdescription: 8 inch 75#WN A2,40304L ANSI 816.47 flangerating MAP: I 15psi ANSI 816.47 flangerating MAWP: 80psi Nozdc materialspecification : SA 2403O4L HIGH Nozzleorientation: 90 degrees End of nozzlcto shcll centcr: 55-625in Nozzle offsct from centcr Lo: 0in Projectionoutside vcsscl Lpr: 3in tn -> corrosion al low= 0 in <-d-> nozthick newtn= .12in twt-> nozzleid. newd= 7 ?E i- l, fillet weldtwl = .125in grooveweld tvrz = .1875in -t*Z <_ L ->l Todatum L= 40 in RcinforccmcntCalculations For Nozzte MAWP Limits of rcinforccment UG-40 Parallelto the vesselwall d = 7.75 in Normalto thc vesselwall outside2.5*(tn-Cn) + te : .3 in Normalto the vesselwall inside2.5*(tn-Cn-C) : .3 in Nozzle rcquircd thickncss trn : P*Rni(Sn*E- 0.6*P) = 2*3.8751(14700i'l- 0.6*2) : 0.0005in Requiredthickness tr from UG-37(a) rr: P*R/(S*E- 0.6'tP) = 2*52.1251(14700*l- 0.6+2) : 0.0071in Arca rcquircd Allowablestrcsses: Sn = 147@, Sv = 14700, psi 7+t O y'tluQ' - 0..; fil = Icsscrof I or Sn/Svso frl :l A, lt Page ze' e. t7 COMPRESS5.5I C:\C5\BSCUPPER,VSL Dcc. 19, 1995 Nozzlc G fr2 : lcsscrof I or Sn/Svso fr2 = I A = d*tr*F | 2*tnxrr*F*(l - frl) : 7.75*0.0071*lI 2*0.12*0.0071*l*(l _ l) = .055in^Z Arca availablc Al : largcrof thefollowing : 3.82ir'2 : d*(El*t-Ffu)_ 2*tn,r(E l,kt_F{,tr)*( l_frl) : 7.75*(lx0.5- I *0.0071 ) - 2*0.12*(l *0.5- I *0.0071)*(l-l ) : 3.82in^2 : 2*(t-ttn)*(El*t-F*tr) - /*11*(f,1*t_F*h)*(l-frl ) = 2*(0.5+0. 12)*(1*0.5-l *0.0071) - 2*0. l2*(1 *0.5- I *0.0071)*(1 -l) = .611in^2 A2 : smallcrof the following - n nt.) ;^^t : 5*(tn - trn)*fr2*t = 5*(0.12- 0.0005)*1*0.5 = .299 in^2 : s'k(tn- trn)*fr2*tn = 5*(0.12- 0.0005)*l*0.12 : .012 ir^2 A4l : l*p^2*fr2 = 0.125^Zt= .016in^2 Area : A1 1- A2 J A41 :3.82 t 0.072+ 0.016 : 3.908in^2 As Arca > A the reinforccmentis adequatefor N{AWP = 2 at 400 Dcg F Check thc wclds - From UW-16(d): tmin : lesscrof 0.75 or tn or t. tmin : 0.12 in tl or €(min) : lesserof 0.25 or o.7*tmin, tl(min) : 0.084in tl(actual): o.7*lf,g = 0.7*o.125: 0.0875in t2(actual): 0. 1875in tl + t2 = 0.275>= 1.25*tmin The weld sizesfor tl and t2 are satisfactory. UG-45 Nozzle Ncck ThickncssChcck Wall thickncssper UG-45(a): trl :0.0005in (E: 1) t?at O Wall thickncssper UG-45(b)(l): tr2 : 0.0071in = Wall thickncssper UG-16(b): b3 0.0625in fuc.lJe y't'u9'/-tt': Stdpipe wall per UG-a5@)(a): tr4 : 0.28175in Pagczt o' g, CoMPRESS5.51 C:\CS\BSCUPPER.vSL Dcc. 19,1995 NozzlcG The greatcrof tr2 or tr3: tr5 = 0.0625in The lesscrof tr4 or tr5: tr6 : 0.0625in Rcq'd per UG-45 is thc largerof trl or tr6 : 0.0625in Availablcnozzle wall thicknessncw, tn : 0,12 in The nozzlcncck thickness is adequatefor MAWP. Allowablc stresscsin joints UG-45(c) and UW-15(c) Grooveweld in tcnsion= 0.74*14700= 10878-psi Nozzlewall in shear= 0.7*14700= 10290psi lnner fillct weld in shea_r= 0.49*14700: 7203psi Strcngthof wcldedjoints: (l) Inner fillet weld in shear (Pil2)rNozzleO.D.xIrg*Si : 1.57*7.99*0.125*'1203: 11294.57lbf (3) Nozzlcwall in shcar (Pi/2)*Meannozzle dia.*tn*Sn : 1.57*7.87*0.12* 10290 : 15257.07lbt (4) Groovcweld in tcnsion (Pi/2)*NozzlcO.D.*tw*Sg : 1.57*7.99*0.1875*10878: 25585.67 lbt Loadingon wcldspcr UG-41(bXl) W = (A - (d- 2*tn)*(El*t - F*tr))*Sv : - *0.0071))'614?00 (0.0 5 \7 .75 - 2*0.12)*(l*0.5 - l =-53606.18lbf wl-l :(A2+A5+A4l+ A42)*Sv = (0.072r, 0 + 0.016+ 0)*14700 : t293.6rbt W2-2: (A2+A3 ) A41+ A43+2:tsrn*t*fr1)*Sv -l : \O_Ol2 | O + 0.016 0 + 2*0.12*0.5*l;*14t* = 3057.6lbf l,oadfor pathl-1 lesserof W or Wl-l :-53606.18tbf Pathl-l rhru (l) & (3) : 11294.57+ 15257.07: 26551.6albf Pathl-l is strongerthan W soit is acceprableper UG-al@)(2). l,oadfor path2-2lesser of W or W2-2:-53606.18 lbf Path2-2rhru (l), @) = 11294.57+ 25585.67: 36EE0.24lbf Path2-2 is strongerthan W so it is acceptableper UG-al@)(2). RcinforccmcntCalcutations for ExternalPressure Limits of rci nforccmcnt UG-40 fl'rr 0 /9- t- dt)- Parallelto thcvesscl watl d : 7.75in Doe .Us \/( PaEeZf i- t7 COMPRESS5.5I C:\C5\BSCUPPER.VSL Dcc. 19, t995 Nozzlc G Normalto thc vcssclwall outsidc2.5*(tn-Cn) I tc : .3 in Normalto thc vcsselwall inside2.5 *(tn-Cn-C) = .3 in Nozzle rcquircd thickncss l-lDo = 317.99: .3755 Do/t : 7.99/0.01833= 435.8974 Fromtablc G: A = 0.000a12 Fromtablc HA-3: B = a808.2 Pa: 4r.B/(3*Do/0 : 4*4808.2/(3*7.99/0.01833) : 14.'tO'14psi Nozzlercquircd thickness trn = .01833in Requircdthickncss tr fron UG-37(dXll : .3075in Arca rcquircd Allowablestresses: Sn = 14700,Sv : 14700, psi frl = lesscrof I or Sn/Svso frl : I fr2 = lcsscrof 1 or SnlSvso fr2 :1 A:o.s*(d*tl.*F + 2*tn*tr*F*(l-frl) = 0.5*(7.75*0.3075*l+ 2*0.12*0.3075*1*(1 - 1)) : l.l9l6in^2 Areaavailablc A I : largcrof thc following = l.492in^2 = d*(El*r-F*tr) - 2*tn*(El,tt-F*tr)x(l-fr1) : 7.75*(1*0.5-l*0.3075)- 2*0. l2*(1"'0.5-l*0.3075)*(l-l) = 1.492in"2 : 2*(t+ tn)*(E I *t-F*tr) - 2'ttn*(E1*t-F*tr) {.( I -fr I ) = 2*(0.5I 0.12)*(1 *0.5- I *0.3075)- 2*0. 12*(1*0.5- l*0.3075)'ts(l -1) : .239in"2 A'2= smallcrof thefollowing : 0.061in^2 : 5x(tn- trn)*fr2*t = 5"(0.12- 0.01833)*l'F0.5 --.254n^2 = 5,f(m- tr.n)*fr2*tn -- 5*(0.12- 0.01833)*l*0-12 = .061in^2 A41= l*g^2*fr? P,t't O :0.125-2*1= .016in^2 y'tttt- -or)- 7:o 1)o. / Page : r COMPRESS5.5I C:\C5\BSCUPPER.VSL Dcc. 19,1995 Nozzlc G Area: Al I A2 I A41 = 1.492I 0.061I 0.016 : 1.569in^2 As Area > A thc reinforccmentis adcquatefor Pe : 14.7at 2100Dcg F UG-45 Nozzlc Ncck ThicknessChcck Wall thicknessper UG-45(a): trl : 0.01833in (E = l) Wall thickncssper UG-45(bX2): tr2 = 0.0522in Wall thicknessper UG-16(b): tr3 : 0.0625in Stdprpe wall pcr UG-a5@)(): t4 : 0.28175n The grcatcrof tr2 or tr3: tr5 = 0.0625in The lesserof tr4 or tr5: tr6 : 0.0625in Req'dper UC-45 is thc largerof trl or tr6 = 0.0625in Availablcnozzle wall thickncssncw, tn = 0.12 in Thc nozzlcncck thickncss is adequatcfor Pe. F,rv o y'/q9't-/t/t Doc . ,vo Pagc 3o o" COMPRESS5,51 C:\C5\BSCUPPER.VSL Dcc.19, t995 NozzlcG Applied I-oads Radialload Pr : 693.4lbf Circumfcrcntialmomcnt Mc : 0lbf-ft Circumfcrcntial shear Vc - 0lbf Inngitudinalmoment ML :0lbf-ft Lnngitudinalshear VL : 0lbf Torsion moment Mt : 0lbf-ft Intcrnal pressure P:2psi Strcsscsat thc nozzlc OD pcr WRC bulletin 107 ( psi) Meanradius Rm : 52.375in Rm/t: 104.75 Stlessconcentration factor Kn (tension): I Stressconccntration factor Kb (bcnding) : 1 Prcssureslrcss intensity factor, Farr equation11.5 | = .25*(4 1 3*(r/x)^2 1- 3*(r/x)^4) : .25*(4 + 3*Q.875t4.12)^2+ 3*(3.875t4.12)^4) :2.25 Local circ. pressurestress = I*PxRm/t : 471 psi lncal long. pressurestress : P*Rm/2t : 105psi Maximumcombincd strcss =-2379 psi Allowablccombined strcss : *-3*S : +- 44100psi The maximumcombincd strcss is within allowablclimits. Maximumprimary mcmbrane strcss :-364 psi Allowableprimary mcmbranc strcss = +-1.5'kS: +- 22050psi The maximumprimary membranc sbess is within allowablclimits. Fo, o y'ltrl- 1-u,'- Dot /i PageI t a" s? CoMPRESS5.5t C:\CS\BSCUPPER.VSL Dcc. 19, 1995 Nozzlc G From Value read A1 Bu Bl r"1 Du nl 3C* I16.02110.067 -424 -424 -424 -424 4C* | l7 .720 |0.067 -469 - 469 -469 -469 IC 10.120910.067 -?01? 20t? -?oL7 a0t2 2C-110.083710.067 -1393 1393 - 1393 1393 3A*t3.2919 t0.067 1A 10.0926I0.067 38* |10.724 I0.067 1B-l10.044010.067 pressurestre s s* 47t 47t 47t 47t 471 47r 471 471 -Todl circ stress - l39l 1395 -r391 1395 - 1965 2059 - 1965 2059 Primarymembrane circ stres s* ? 2??47474747 3C*116.021 10.067 Atn ttri ati 4C*117.720 10.067 -469 -469 -469 - 469 1C-110.123810.067 - e060 2060 -2060 2060 2C I0.083710.067 -1393 1393 -1393 1393 4A* 14.8183I0.067 2A 10.0s3510.067 48* 13.275610.067 2B-110.069610.067 pressurestres s* 105 105 105 105 105 105 I nE 105 Totat long stres s -2379 1741 -2379 1741 -1757 10?9 -t757 1029 Primarymembrane longstres s* -319 -319 -319 -319 -364 -364 -361 -364 torsion momentMt Circ shearfrom Vc Longshear fronr VL Total Shearstres s -com6inA stress v,, / I Do o. A),. r' Pagcr j: Ii r.Pr t,e.1 Ma x /.ai 4, , 2,o',t,.i t 3 1.17 ,if J t .'. € lro ". r, 0 P..tl: lt /r-r,''t-./ 1'Y Z ,,r 4.tt '. .r. -2?1b) 2;z //- 4. , /7)? ooo /rz,/* ) -' .::.; /2, r-?, f " l- t'rJ /'E\ 1 = ,?J' \t$E I -'. fl: { ? / /.--)) -- /Fro 'iF B r 2J'o ,// 4- / Ji 9/ -' .3 rri-- t. ,-." 1'; ..-, n f . 4 * { ) t'/14 / /,.).._.,/r.. lr L--' - ?f /./. ?/iz,?2-t') z/,>r) /)-//o 4 ) 7t 1)-^ r, /.2 .)t4/ t-f i4.? /-= Ll b - ? ?r4 ) */f - 1/t z.u o,.J / ta.) a , ,.. a ( < Revision0 DocNo. V049-l-015 Paee33 of57 .r'1z i,t<- + a ,^F l/,i.4 / UJ J LI J4;t( '.- D , n7 ..,..tr . ,r -', t FP44 J€. / U/"." )'u /, l/1-'??'t,') ( {'? . ,--!.\) /,"? -2 4 t,/ / .-.s. a.; J Z(,-t a oo ,; t./ ? ta - /cr J_ >+ t . ,7 7_.,/ lei ' iir:.< i Itrl-'- /ii'f >4,7 .r) 6/. :: r(4 ,o6 /zor,).,-). (,3et3- ..r.) ( ',.i 0r//a/t.i {J 7! .r. ,: t , 1 tt .' t7! c /2''t / ''/+ /^r 1.2;.,, t;4 7D = ,/ o -t' ,.v F DL C lL.J ( la /. .i ,,,.,! ,^, i /7!(to)-tD,/!( /( ,; t r. ,r ! J // .) -r, =- aoa'i i 1) L/ / -'2 ! /, i. r-^) ?! t.1 .^:'7 ,r ,:,4 T.l :- ta)f4 !/1 t,', J2 * FtlJd L f D /! ./o/.J'/.! Reiision 0 Doc No. V049-l-015 Paee34 of57 COMPRESS5.51 C:\C5\BSCl05ID.vSL Dec. 19,1995 Top Hcad- BSC ASME ScctionVIII Division I - t992 Edition- A93 Addcnda Component: F&D hcad Matcrialspccification : SA 240 3O4LHICH Internaldesign pressure: P :2 psi@ 400 deg F Externaldesign pressure: Pe: 14.7 psi @ 400 dcg F Corrosionallowance: Inner C = 0 Outer=0 in PWHT is not performed RadiograDhy: CategoryA.joints - SpotUW-l1(b) type I HeadIo ihcliscam - SirotUw- I l(b) type I Estimatedwcight: new: 1140.8 corr: 1140.8 lt) capacity: new: 474.64 con = 474.64 USga - /,,/,. ,. o.L ID : 105 crownL: 105.75knuckler : 63a5 t = .343'15in(min) ztt?,/ /t / ,v/J/// (i' Straightflangc:2 formingallowance:0 in f WARNING! F&D hcadgeomctry is not pcr UG-32(i)- Dcsignthickness: (At 4fi) dcg F) Appcndix1-4(d) Eq 3 M: .25*(3+ (L/r)^.5) : .25*(3+ (105.7516.345)".5) : l.'1706 t : Pi'L*M/(2*'S*E-0.2*P) * Corrosionf fa = 2x105.75*1.77061?*147ffi*0.85- 0.2*2) + 0 + 0 = 0.015in MAP: (Ncw & at 0 degF\ Appcndixl-4(d) Eq 3 P:2*S*E*V(L"M t 0.2*t)- Ps : 2*1 6700*0. 85*0.34375i( I 05 .7 5*13706 + 0.2*0.34375)- 0 = 52.10122psi MAWP: (Corrodcd& at 4{D degF) Appcndix1-4(d) Eq 3 P : 2*S{ From tablc HA-3: B : 4755.5 Pa: B/(Ro/t) = 4755.5/(I 06.0938t 0.3287 3) = 14.7348psi Checkthe cxtcmalprcssurc per UG-33(a)(1) t : L67*Pa*L4*M/(2*S*E+ 1.67*Pa*(M-0.2) -- 1.67 * 14.7 3 48*I 06.0938* 1. 77Mt (2* 147 W* | ) 1.67 * | 4.7348*( I .7706-0.2)) = 0.15702in Dcsign thickncssfof cxtcrnal pressurePa : 14-7348 psi: : t -l Corrosion I fa :0.32873+0+0 = 0.32873in Maximum Allowablc External Prcssure:(Corrodcd @ 4(X)deg F) A: .125/(Ro/t) : . 125/ 0A6.A938/0. 34375) : 0.000405 Fromtable HA-3: B:4793.7 Pa= B/(Ro/t) : 4793.7| (106.0938/0.34375) : 15.5319psi Chcckthe lvlaximum External ltcssure: UG-33(a)(l)& App. l-a(d) pc= 2*s*E*t/((t** - 1*1M-0.2))*1.67) : 2* 14700* 1 *0 .3437 5I ((l .7706* I 06.0938- 0.34375* (l .7706-0.2))* I .67) = 32.30824psi Themaximum allowablc external prcssure is 15.5319psi. 7:, o Qr,./J:. l/et'9-/-oti Page 16 c^- 5 7 cGi,tPRESS5.51 C:\CS\BSCt05lD.VSL Dcc. t9, 1995 UppcrCylindrical Shell - BSC ASME ScctionVIII Division l- 1992Edition- A93 Addcoda Component: C.!linder Material spccification : SA 2403O4L HIGH Internaldesign pressure: P = 2 psi @ 400 degF Externaldcsign pressurc: Pe: 14.7 psi@ 400 deg F Corrosionallowance: Inner C = 0 Outer: 0 in PWHT is not pcrformed Radiography: CategoryA joints - SpotUw-l l(b) type I CategoryB joins - SpotUW-llO) type I Estimatcdwcight: new: 1438.3 corr: 1438.3 lb capacity: new:2249.O93 corr : 2249.093 USga ID = 105 lcngthI*: 60 t : 0.25 in (new) Dcsignthickncss: UG-27(cXl'l Circ. stress t: P*R/(S*E- 0.6*P) | Conosion : 2*52.51(147ffi*0.85- 0.6*2) 1 0 = 0.0084in MAP: (Ncw& at 0 degF) UG-27(cXl) P: S*E*V(R+ 0.6*t)- Ps : 16700't0.85*0.251(52.5+ 0.6*0.25) - 0 -- 67.40266psi MAWP: (Corroded& at 400 degF) UG-27(cXl) P:s*E*t/(R+0.6*t)-Ps : 14700*0.85*0.251(52.5+ 0.6*0.25) - 0 = 59.330a9psi ExternalPrcssure: (Corroded& at 40Odeg F) UG-28 LlDo : 37.903271105.5 :0.3593 Doit : 105.5/0.2a092 = 437.9047 Fromtablc G: A = 0.000a29 Fromtablc HA-3: B:4842.5 Pa= 4"B/(3"Do/t) : 4* 4842.5 | (3* 105.5| 0.2M2) = 14.7M5 psi Dcsisn thickncssfor cxtcrnal nressurcPa : 14.7445 osi: (': '/ / : t + Corrosion t:'lt-/-'/)' = O.2aO92t O Dtt.lJ, Pa ge3z a' 17 COMPRESS5.5I C:\CS\BSCl05lD.vSL Dcc.19, 1995 UppcrCytindrical Shell - BSC : 0.24092in MaximumAllowable Extcrnal Prcssure: (Corrodcd @ 40Odeg F) UDo : 37.903271105.5:0.3593 Do/t : 105.5/0.25= 422 Fromtablc G: A : 0.000452 Fromtable HA-3: B : 4887.2 Pa=4*B/(3*Do/t) = 4*4887.21 (3* 1 05.5/0.25) : 15.4414psi 2,'\'a ,') !/ L. ?r.e, No y'aqg-t-.1 /J- PagcAr u,. rt COMPRESS5.51 C:\CS\BSCI05ID.VSL Dcc. 19,t995 Shcll Stiffcocr Stiffcning Ring CalculationsPcr UG-29 ASME ScctionVIII Division l- 1992Edition- A93 Addcnda Identifier: Shell Stiffener Ring matcrialspecification: SA 240 3O4LHIGH Numbcrof rings in this group: I Distanccfirst rins to datumline: 110in Ring spacing: 0in Ring dcscription: 4x4xll4 EqualAngle Ringis rolled: leg out (easyway) Ring crossscctional area: As = 1.94in^2 Ring momentof inertia: Ir : 3.04in^4 Calculationsfor ring ll0 in from datum Shcllmaterial specification: SA 2403O4L HIGH Requiredshcll tlickness : t:0.24492in Corrodcdshcll thickness: ts= 0.25in Shelloutcr diameter: Do= 105.5in Designtemperature: 400deg F Externaldcsign pressure: P=14.7psi Stiffencr supportedlcngth : Ls- 33.95164in B = .75*(P*Do/(tI As/Ls)) = .75*(14.7*105.5t(0.24W2 + 1.94t33.95164)) = 39C23s9 From tableHA-3 (ring) A: 2.951318E-04 Rcquircd momcnt of incrtia of the combinedring-shcll section (Do^2*Ls*(t Is= ^ + As/Ls)*A)/l0.9 : (1O5.5 2*33.951 @* (024W2 + I .94/33.95 I 64)*2.95 1 3 I 8E-04)/I 0.9 = 3.049713in^4 Availablc momcnt of inertia of the combinedring-shell scction Shellwidth conbibutingsmaller of : 5.649226 W = l.l *Sqr(Do*ts) : |.l*Sqr(105.5*0.25) :5-649226in W : tr : 33.95164in Ec" t) Shellarea AI = W*ts : 1.412306in^2 1' -f tt Distanccto thc ring ncutralaxis Do, ,l)-. :'a Page t '^F 17 COMPRESS5.51 C:\C5\BSCI05ID.VSL Dcc. 19, 1995 Sbcll Stiffcncr Y2 = RingNA + a/2 = 1.09t 0.2512 : 1.215in Neutralaxis of combincdsection NA: As*Y2l(Al+ As) : 1.94*1.2151(1.412306I 1.94) : .7031279in Inertiaof thc shcllabout thc combined section NA Il:w*ts^3/12+Al*NA^2 : 5.649226*0.25^3I t2 | t.412306*0.7031279^2 : .7055842in^4 Inertiaof thering about the combincd section NA 12= Ir I, As*(NA- Y2)^2 : 3.04J 1.94*(0.7031279- 1.2t5\^2 = 3.548306in^4 Totalavailablc I : 11+ 12: 4.25389in^4 Thc 4x4x1l4Equal Angle vacuum stiffener is satisfactory. /?,i,t A Pec tut .',/.',t?-t-llft- Pagc re a. 17 CoMPRESS5.51 C:\C5\BSCl05lD.VSL Dcc.19, r995 Main ScctionCylindcr ASME Scction VIII Division l, 1992Edition. A93 Addcnda Component: Cylindcr Materialspccifi cation : SA 2.10304L HIGH Internaldcsign pressure: P :2 psi@ 400 deg F Externaldcsign pressurc: Pe: 14.7 psi@ 400 degF Corrosionallowance: Inner C : 0 Outer: 0 in PWHT is not performcd Radiography: CategoryA joints - SpotUW-l l(b) type I CategoryB joints - SpotUW-llft) typc I Estimatedweight: ncw : 3844.7 con :3844.7 lb capacity: new = 2998.79 con = 2998.79 US ga ID : 105 lengthLc , 80 t : 0.5 in (new) Dcsignthickncss: UG-27(cXl) Circ. strcss t = P*R/(S*E-0.6*P)| Corrosion = 2*52.51(1470o*0.85- 0.6+2) + 0 : 0.0084in MAP: (Ncw & at 0 dcg F) UG-27(cXl) P:5xBxY1P+0.6*t)-Ps = 16700*0.85*0.5t(52.5+ 0.6*0.5) - 0 : 134.4223psi MAWP: (Corrodcd& at 4fi) dcg F) UG-27(cXl) P = S*E*V(R1- 0.6*t) - Ps : 14700*0.85*0.51(52.5+ 0.6*0.5) - 0 : 118.3239psi External Prcssure: (Corroded& at 4{X)deg F) UG-28 L/Do : 80/106=0.?54? Do/t: 106/0.30843= 343.6761 Fromtable G: A :0.000288 Fromtable HA-3: B : 3807.2 Pa: 4*B/(3*Do/t) = 4*3807.2 | (3* I 06/0.30843) : 14.?705psi l/. - Dcsign thickncssfor cxtcrnal prcssurePa : 14.7705 psi: /!2 t/ (J : /l-. r)^ t/t,/ti- - /, C/-- t f Corrosion ',,t4 c N. :0.30843+ 0 Pagc vc "' a r 't' 7 COMPRESS5.5I C:\C5\BSCl05lD.VSL Dcc.19, 1995 Main SectionCylindcr = 0.30843in MaximumAllowablc External Prcssure: (Corrodcd @ 4(X)dcg F) UDo = 80/106:0.7547 Dolt: 1M10.5:212 Fromtable G: A : 0.000586 Fromtablc HA-3: B : 5115.7 Pa: 4*B/(3*Do/t) : 4*5115.7/(3*106/0.5) :32.1742 psi )^ /(it/'- 'Jr'' )0, ))q l-,'- rni)' PNgc'tDb a- r7 C0MPRESS5.51 C:\CS\BSCI05ID.VSL Dcc.19, 1995 NozzlcE Opcning N-E ReinforcemcntCalculations Per UG-37 l-ocatedon: UpperCylindrical Shclt - BSC Local vesscltft ickness: .25in Liquid statichead includcd: 0 osi Flangedescription: Iti inch75#SO A240304L ANSI 816.47 flangerating MAP: I 15psi ANSI 816.47 flangerating MAWP: 80psi Nozzle matcrial spccification : SA 2403O4L HIGH Pad rnaterialspecifi cation : SA240 3O4L HIGH Nozzlcorientation: 45 degrees End of nozzleto shellccnter: 55.875in Nozzle offset from centerLo: 0in Projectionoutside vessel Lpr: 3.125in f,n -> l<- corrosionallow = 0 in op_'l l<- noz thick neu,tn= .12in <-d-> twl I nozzleid, newd= 13.75in ->l l RcinforcemcntCalculations For Nozzle MAWP Limits of rcinforcemcnt UG-40 Parallclto the vesselwall d : 13.75in Normalto the vessel*all outside2.5*(tn-Cn) J. tc : .55 in Normalto thc vessetwall inside2.5*(tn-Cn-C) : .3 in Nozzlc requircd thickncss trn = P*Rn/(Sn*E- 0.6*P) : 2*6.875 | (14700*1- 0.6*2) : 0.0009in Rcquircd ttickness tr from UG-37(a) tr: P*R/(S*E- 0.6*P) : 2*52.5I (14700*l- 0.6*2) : 0.0071in ,/(nr' u Area requircd Doe N" /t:zr-/-a/J' Pageu/ e,. sz COMPRESS5.5I C:\CS\BSCI05ID.VSL Dcc. 19,r995 Nozzlc E Allowablcstrcsses: Sn : 14700,Sv : 14700,Sp = 14700psi frl : lesscrof I or Sn/Svso frl :1 fr2 = lesscrof I or Sn/Svso fr2 :l fr3 : lesserof fr2 or Sp/Svso fr3 : I fr4 = lcsscrof I or Sp/Svso fr4 :1 A: d*tr*F { 2*tn*ff+F*(l- frl) = 13.75*0.0071,ts1+ 2*0.12*0.0071*1*(l _ l) : .0976in^2 Arca available A1 = largcrof thefollowing -- 3.34in^Z d*(EI *t-F*tr)- 2ttn*(81*t-F*tr)*(l-frl ) 13.75*(l*0.25-1*0.0071) - 2*0. 12*(l +0.25- I *0.0071 )' k(1-l) 3.34in^2 2*(r I tn)*(EI *r.-F*rr)- 2*tn*(EI xt-F*rf)*(| -frl ) 2*(0.25I 0.l2)*(1*0.25-1*0.0071) - 2*0. 12*(1 *0.25-l*0.0071)*(1-1) .18in^2 A2 = smallcrof thefollowing :0.131in^2 = 5*(tn- trn)*fr2*t : 5*(0.12- 0.0009;*1*9.25 : .149in^2 = 2'*(tn- trn)*(2.5*tn t te)*fr2 : 2*(0.12- 0.0009)+(2.5*0.12I 0.25)*l = .131in"2 A41 : I*g^2*fr3 -- 0.125^2*1: .016in"2 A42 : l.r.g^2*fr4 :0.25^2*l : .063in^2 A5 : (Dp - d - 2*tn)*te*fr4 : (20- 13.75- 2*0.12)*0.25*7 = 1.5025in^2 Area = Al + AZ + A4l + A42 + A5 : 3.34+ 0.131+ 0.016+ 0.063+ 1.5025 = 5.0525in^2 As Area > A the reinforccmentis adequatefor MAWP : 2 at 400Deg F - Chcckthc wclds From UW-16(cX2) ?O' D = InnerFillct: tmin : lcsscrof 0.75or tn or tc.tmin 0.12in Dr: .U: :/,";"i' ' r/:' tw(min): o.7*tmin: 0.084in Page vz a' r 7 COMPRESS5.51 C:\CS\BSCl05lD.VSL Dcc. 19, t995 Nozztc E tw(actual)= 0.7*l,eg: o.7*0.125: 0.0875in OutcrFillet: tmin : lesscrof 0.75 or te or t. tmin = 0.25 in tw(min)= Q.5*tmin: 0.125in tw(actual): 0.7*kg :0.7*0.25 : 0.175in UG-45 Nozzlc Ncck ThickncssChcck Wall thickncssper UG-45(a): trl : 0.0009in (E = 1) Wall thicknessper UG-a5@)(l): tr2 : 0.C071in Wall thicknessper UC-16(b): tr3 = 0.0625in Stdpipe wall per Uc-as(b)(a): 14 : 0.328125in The greaterof tr2 or tr3: 15 = 0.0625in Thc lesserof tr4 or tr5: tr6 : 0.0625in Req'dpcr UG-45is the largerof trl or tr6 = 0.0625in Availablenozzle wall thicknessnew, tn : 0.12 in The nozzleneck thickness is adequatcfor MAWP. Allowablc strcsscsin joints UG-45(c) and UW-15(c) Groovcwcld in tcnsion= 0.74"147ffi: 10878'psi Nozzlcwall in shear: 0.7*14700= t0290psi Inner fillct wcld in shear: 0.49*14700= 7203psi Outerfillct wcld in shear= 0.49*14700: 7203psi Strcngth of weldcdjoints: (1) Innerfillct weld in shcar (Pi/2)*NozzlcO.D. *t cg*Si : 1.57'<13.99*0.125*7203: 19776. I I lbf (2) Outcrfillct weld in shear (Pi/2)*PadO.D. *Leg*So -- 1.57*20*0.25"7 203 : 56543.55lbf (3) Nozzlcwall in shcar (Pi/2)*Meannozzle dia.*tn*Sn = 1.57*13.87*0.12*10290= 26888.88 lbf (4) Groovcweld in tcnsion (Pi/2)*NozzlcO.D.*tw*Sg : 1.57"'13.99*0.25't10878: 59731.91 lbf hading on wcldspcr UG-4lOXl) w : (A - (d - 2*tn)*(El"t - F*tr))*Sv : (0.0976- (13.75- 21'0.12)'t'(1*0.25- l*0.0071))r'14700 :-,t680a.a9lbf Wl_l = (A2 J A5 -{_A41 + A42)*Sv : (0.131r 1.5025{ 0.016+ 0.063)"'14700 o : 25173.75tbf 7;n 7a< ,l) " y'or''- t- or.- w2_2= (42 + A3 1 A4l + A43 1 2*tn*txfrl)*Sv Pagevs L-- 1'- C0MPRESS5.51 C:\C5\BSCl05lD.VSL Dcc.t9, 1995 NozzlcE :(0.131I0r 0.016r01 2*0.12*0.25* 1)* 14700 = 3042.9lbf W3-3 : (A2 I A3 + A.5 'l A4l + A42 + A43 '1 2*trr"t*frl)*Sv = (0.131J 0 + 1.5025+ 0.016+ 0.063+ O + 2*0.12*0.25*1)*14700 : 26055.75lbf Load for path l-l lesscrof W or Wl-l =-468O4.49lbf Pathl-l rhru (2) & (3) = 56543.55+ 26888.88= 83432.43lbf Path l-l is strongerthan W so it is acceptableper UG-41(b)(2). Load for patJ't2-2lesscr of W or W2-2 :-46804.49 lbf Path?-2rhru (1), @) : 19776.11J 59731.91= 79508.02lbf Path2-2 is strongcrthan W so it is acceptablcpcr UG-41(b)(2). Loadfor oath3-3 lesserof W or W3-3 :4680a.a9 lbf Path3-3 ttnu (Z), (4) : 56543.55t 59731.91: 116275.5lbf Path3-3 is strongerthan W so it is acccptablepcr UG-4IOX2). Padstrcngth = A5*Sp = 22086.75lbf Outerfillct wcld strengthis adequate. ReinforccmcntCalculations for Extcrnal Prcssurc Limits of rcinforccmcnt UG-40 Parallclto thc vesselwall d : 13.75in Normalto thc vcsselwall outsidc2.5*(tn-Cn) F tc : .55 in Normalto the vessclwall inside2.5*(tn-Cn-C) : .3 in Nozzlc rcouircd thickncss L/Do: 3.125113.99:.2234 Do/t: 13.99/0.A2972= 470.7268 From tablcG: A = 0.0006a2 From tablcHA-3: B = 5198.5 Pa: 4*B/(3*Do/t) : 4*5198.5/(3* 13.99 I0.02972) - 14.7247psi Nozzlerequired thickness tt : .02972in Rcquiredthickness tr from UG-37(dXl) = -2409in Arca rcquircd Allowablestresses: Sn : 14700,Sv = 147fi), Sp : 147ffipsi frl = lcsscrof I or Sn/Svso frl =l fr2 : lesscrof I or Sn/Svso fr2 :1 a fr3 = lcsscrof fr2 or Sp/Svso fr3 : I ?aa : - fr4 lesscrof I or Sp/Svso fr4 I Dac . ,Jc ./,-u€-r,t_t/{ Ptge 't'l a'- r z COMPRESS5,51 C:\CS\BSCI05ID.VSL Dcc. 19, 1995 Nozzlc E A = o.s*(d*tr*F I 2*tn*tr*F*(l _ frl) = 0.5*(13.75*0.2409*lI 2*0.12*0.2409*l'r(l- l)) : 1.6562in^2 Arca availablc Al = largcrof the following : .125 in^2 = d*(E I *t-F*tr) _ 2:ftn*(El*t_F*tr)*( l_frl *0. *0. ) : I 3.75*(I 25-I 2409)- 2*0.12*(t*0.25- I *0.2.109)*( l - I ) = .125 in^2 : 2*(t+tn)*(El'kt-F*tr)_ 2xtn*(El*t_F*tr)*(l _frl ) - 2*(0.2510.l2)*(1*0.25- I *0.2409) - 2*0.12*(l *0.25-1*0.2409)*(1-l) : .007 in^2 A2 = smallcrof the followins = 0.099in'2 = 5*(tn - tm)*fr2*t : 5*(0.12- 0.02972)xl*0.25 : .l13in^2 = 2't(tn- trn)*(2.5*tn1 tc)*fr2 : 2(0.12- 0.02972)*Q.5*0.12+ 0.25)*l = .099in^2 A41 : trg^2*fr3 : 0.125^2*l= .016in^2 A42: l*E^Z*fr4 : O.25^2*l: .063in^2 A5 : (Dp - d - 2*tn)*te*fr4 : Q0 - 13.'15-2*0.r2)*Q.25*1 : 1.5025in^2 Arca = Al + A2 + A41 + A42 + A5 : 0.125r 0.099+ 0.016J 0.063+ 1.5025 : 1.8055in^2 As Area) A thereinforcemcnt is adequate for Pe = 14.7at 400Deg F UG-45Nozzle Neck Thickness Check Wallthickness per UG-45(a): bl : 0.02972in (E : l) Wall thickncssper UG-a5@)(2)i t2 = 0.0525in Wallthickness pcr UG-16(b): tr3 : 0.0625in Stdpipe wall pcr UG- SO)(a): t4 = 0.328125in The greatcrof tr2 or tr3: trS : 0.0625in The lesserof tr4 or tr5: tr6 = 0.0625in Frr c) Rcq'd pcr UG-45is thc largerof trl or tr6 : 0.0625in Dar -No y'rtr"q-/-(/r' Page /r o= tz CoMPRESS5.51 C:\C5\BSCI05ID.VSL Dcc. r9, 1995 NozzlcE Availablcnozzle wall thickncssncw, tn : 0.12 in The nozzlcneck thickncss is adeouatcfor Pe. P;tz o D., /Jt. Vlrr- !- i4/.- PaEe L.rL c. s '? COMPRESS5.5I C:\CS\BSCI05ID.VSL Dcc.t9, 1995 Nozzlc E Applicd l,oads Radial load Pr : 2183Itrf Circumfercntialmoment Mc = 0lbf-ft Circumfercntialshear Vc = 0lbf lnngitudinal moment N{L:0lbf-ft Longitudinal shear VL = 0lbf Torsionmoment Mt : 0lbf-ft Intcrnalpressure P: 2psi Strcsscsat thc nozzlc OD pcr WRC bullctin 107 ( psi) Il{eanradius Rm : 52.625in Rm/t : 105.25 Strcssconcentration factor Kn (tension) = I Stressconcenration factor Kb (bending): 1 Prcssurestrcss intensity factor, Farr cquation11.5 | = .25*(4 I 3+(r/x)^2 -t 3*(r/x)^4) : .25*(4 t 3*(6.875t7.12)^21- 3*(6.87517.12)^4) : 2.351 Local circ. prcssurestrcss : I*P*Rm/t : 495 psi Local long. prcss'urcstrcss = P*Rm/2t : 105psi Maximumcombined stress = -4703psi Allowablccombined stress : +-3*S : +- 44100psi The maximumcombincd sucss is within allowablelimits. Maximumprimary membrane sfrcss :-1154 psi Allowableprimary membrane stress = +-1.5*S: +- 22050psi The maximumprimary membranc sress is within allowablelimits. ,(.i / u .t- Do c . ,t) a t/li.r. a/,' Pzge /7 6t st COMPRESS5.57 C:\C5\BSCl05lD.vSL Dcc. 19, 1995 NozzlcE From Value beta Fig. read BI Cu al Du NI 3C*110.776 10.116 -894 -894 -894 -894 4C*ll5.l80 l0.ll6 -t259 -1259 -1259 - 1259 tc t0.0768t0.116 -4024 4024 -4024 4024 2C-110.044310.1t6 -?321 2321 -?321 ?321 3A*14.1565 10.n6 tA t0.077610.116 38*tll.t2l t0.116 18-110.028210.116 pressurestress* 495 495 495 495 495 495 495 495 Total circ stress - 3085 1557 -3085 1557 -4423 3625 -4423 3625 Primarymembrane circ stres s* -764 -764 -764 -764 -399 - 399 -399 -399 3C* t0.776 0.116 -894 -894 -894 -894 lE lon 0.116 -1259 -1259-1259 -I259 lc-I 0.07 47 N ]IC - 3914 3914 -39I4 39I4 2C 0.04690.116 -2457 -2457 ', 2457 2457 4A* En^'l 0.i16 2A 0.03900.116 4B* 4.tt?7 0.I16 2B-I n n?o7 0.116 pressures tres s* 105 105 105 I AE 105 r nq 105 105 Total long stress - 4703 3125 -4703 3125 -361I 1303-36It r303 Primarymembrane long stres s* -789 -789 -789 -789 -1154 -u54 -1154 - 1154 tors 'ionmoment l'lt Circ shearfrom Vc Longshear from VL Total Shearstress Combinedstress -4703 3125 -4703 3125 -4423 3625 -4423 3625 ?,'u D y' ? 'rc - t- 0/J- Q,.. /00 Pagcv r ot' (7 COMPRESS5.5I C:\CS\BSCl05tD.vSL Dcc.19, 1995 NozzlcE Strcsscsat thc pad cdgc pcr WRC bullctin 107 ( psi) Meanradius Rm : 52.625in Rm/t : 210.5 Sbessconccntration factor Kn (tension) : I Stressconccntration factor Kb (bcnding) = I Prcssurestrcss intensity factor, Farr equationI 1.5 -- -1 I .25*(4 t*(1/x)^2 + 3*(r/x)^4)^ -- .25*(4 -+3* (6.87 y 1A.2t 2 r- 3*(6. 87 5 1 10.25)^ 4) : 1.489 Localcirc. prcssurc stress : I*P*Rm/t: 627psi Locallong. pressure sbess = P*Rm/2t= 210psi Maximumcombined stress :-13225 psi Allowablccombined strcss : l -3*S = +- 44100psi Themaximum combincd stress is withinallowable limis. Maximumnriman' mcmbrane strcss :-3307 osi Allowableirimar! mcmbranestress = +-1.5?S= +- 22050psi Thcmaximum primary mcmbrane strcss is withinallowablc limits. Vtt D ?t: ,A)o.y'l'/? -/-a/,- Page.Y? a' r7 COMPRESS5.5I C:\CS\BSCI05ID.VSL Dcc.19, t995 NozzlcE FromlValue beta Fig.I read BI Cu al Du DI 3C*t8.3321 t0.166 -1383 -1383-1383 -1383 4C*t2I.l96 t0.166 -3517 -3517 -3517-3517 tc 10.059s10.166 -t?469 t?469-12469 t?469 2C-l10.014910.166 -3123 3123-3123 3r23 3A*t6.5607 I0.166 1A 10.05s310.166 38* 113.58810.166 1B-1t0.0104t0.166 pressurestres s* 6?7 627 6?7 6?7 627 627 627 627 Total circ stress -6013 233 -6013 233 -t3225 ll7l3 -13225I1713 Primarymembrane circ stress* -2890 -2890 -2890 -2890 -756 -756 -7s6 -756 ?r* o a'r11 0.166 -1383 -1383 -I383 -1383 4C* 21.1960.166 -3517 -3s17 -3517 -3517 1C-10.0392 0.166 -8215 8215 -8215 8215 ?c n n?E2 0.166 -7398 7398 -7398 7398 4A*. t7.9?2 0.166 2A 0.02380.166 4B* E O,l tO 0.166 2B-I 0.01440.166 pressurestre ss* 210 210 210 210 210 210 210 210 Total long stress -9388 7042 -9388 7042-10705 4091-10705 4091 Primarymembrane long stres s* -il73 -1I73 -1173 -u73 -3307 -3307 -3307 -3307 torsion momentMt Circ shearfrorn Vc Longshear from VL Total Shearstre s s Combinedstress - 9388 7042 -9388 704?-13225 11713 -1322s ll713 Zat o De t a /o,ri- r - tt, t' Pa,gcro o. .r2 COMPRESS5.5I C:\CS\BSC105ID.VSL Dcc.19, 1995 NozzlcG OpcningN-G RcinforccmcntCalculations Pcr UG-37 l,ocatedon: Main ScctionCylinder Local vesselthickness: .5 in Liquid sratichcad includcd: 0 psi Flangcdescription: 8 inch 75# WN A240304L ANSI 816.47flangc rating MAP: I l5 psi ANSI 816.47flanle ratin[ MAWP: 80 fsi Nozzlematcrial specification: SA 24.03O4L HIGH Nozzleorientation: 90 degrees End of nozzlcto shellccnter: 55.625in Nozzle offsct from ccntcr [,o: 0in Projectionoutside vessel Lpr: 2.625in tn ->| corrosionallolr-0in <-d-> noz thick net,Jtn= .12 in twt-> nozzleid. newd= 7.75 in l, fillet weldtwl = .125in groovewe)d tw2 = .1875in :,, I _>l To datumL= 40 in Rcinforccmcnt CalculationsFor Nozzlc MAWP Limits of rcinforccmcnt UG-40 Parallelto thc vesselwall d : 7.75 in Normalto the vesselwall outside2.5*(tn-Cn) f te : .3 in Normalto the vesselwall inside2.5*(tn-Cn-C) : .3 in Nozzle requircd thickness trn = P*Rn/(Sn*E- 0.6*P) : 2*3.8'15l (14700*l - 0.6*2) : 0.0005in Rcquircd thickness tr from UG-37(a) A: P*FJ(S*E- 0.6*P) : 2*52.5| (147 N,* I - 0.6+2) = 0.0071in Arca rcquircd 3"" O Allowablc strcsses:Sn : 14700, Sv : 14700, psi r- Ct t- 2ut. /)o t/'- u9' frl = lesscrof I or Sn/Svso frl : I Page s' t' r7 CoMPRESS5.5t C:\CS\BSCl05ID.vSL Dcc. 19,1995 NozzlcG fr2 : lcsscrof I or Sn/Svso fr2 : I A: di.t *F l- 2*tn,*tr*F'f(l _ frl) : 7.75*0.0071*lI 2*0.12*0.0071*l*(l _ 1) = .055in^2 Areaavailablc Al = largcrof thefotlowing : 3.82in^2 : d*(El*t-F*tr)- 2*tn'r(El*t-F*tr)*(l-frl) = 7.75*(1x0.5-l *0.007 l) - 2*0.l2*(1 *0.5- I *0.0071)*(l -l) : 3.82in^2 : 2*(tI tn)x(El*t_F*tr)_2*tn*(El *t_F*rr)*(l_frl) : 2*(0.5+ 0. 12)*(l *0.5-l*0.007 l) - 2*0.l2*(l *0.5-l *0.0071)*(l -l) : .611in^2 .A2 : smallcrof the following = 0.072in^2 : 5*(tn - trn)*fr2*t : 5*(0.12- 0.0005)*1*6.5 = .299 in^2 : 5*(tn - trn)*fr2*tn = 5*(0.12- 0.0005)*1*0.12 - n?,l :- '1 A4l : Irg^2*fr2 :0.125^2*l= .016in^2 Area: Al I'A2 + A4l : 3.82-t 0.072J 0.016 : 3.908in^2 As Area > A the rcinforcemcntis adcquatefor MAWP : 2 at 400 Deg F Chcckthc wclds- From UW-16{d): tmin : lesscrof 0.75 or tn or t. tmin = 0.12 in tl or O(min) = lesserof 0.25or O.?*tmin,tl(min) : 0.084in tl(ac$al) :0.7*l-eg = 0.7*0.125: 0.0875in t2(actual): 0.18?5in tl + Q : 0.275> = 1.25*tmin The weld sizcsfor tl and t2 are satisfactory. UG-45 Nozzlc Neck ThicknessChcck Walt thickncssper UG-45(a): trl : 0.0005in (E = l) Wall thickncssper UG-45(b)(l): tr2 = 0.0071in &, ,, per : Wall thickncss UG-16(b): tr3 0.0625in ?o r . l)., ,+- '/?- ) -(1 / )- Stdpipe wall per UC45(bX4): tr4 = 0.28175in Pagc rz OE Y7 COMPRESS5.5I C:\C5\BSCl05ID.VsL Dcc. 19,1995 NozzlcG Thegreatcr of tr2 or tr3: tr5 = 0.0625in Thelcsser of tr4 or tr5: tr6 : 0.0625in Req'dper UG-45is thc largerof trl or tr6 : 0.0625in Availablcnozzle wall thicknessncw, tn - 0.12 in Thc nozzlcneck thickness is adcquatcfor MAWP. Allowablc strcsscsin joints UG-45(c) and UW-15(c) Groovewcld in tcnsion= 0.74*14700= 10878-psi Nozzlewall in shear= 0.7*14700= 10290psi Inncrfillct wcld in shear: 0.49*14700= 2203psi Strcnsth of wcldedjoints: (l) Inner fillct weld in shcar (Pi/2)*NozzlcO.D.*I cg*Si - 1.57*7.99*0.125*7203: 11294.57 lbf (3) Nozzlcwall in shcar (Pi/2)*I{cannozzle dia.*tn*Sn = 1.57*7.87*0.12* 10290 : 15257.07lbt (4) Groovcwcld in tcnsion (Pi/2)*NozzlcO.D.*tw*Sg = 1.57*7.99x0.1875*10878: 25585.6? lbf Loadingon wcldspcr UG-4I(bXl) W : (A - (d - 2*tn)*(81*t - F*r.;1*5u : (0-.qll- 9,7! - 2*0.12)*(1'*0.5- l*0.0071D*14700 :-5360618 lbf Wl-l : (A2 + 45 + A41 + A42)*Sv = (0.072+ 0 + 0.016+ 0)*14700 : 1293.6tbf W2-2: (A2 + A3 I A4l + A43 +-2*tn+t*fr1)*Sv = (q 012+ 0 + 0.016+ 0 + 2*0.12t.5*l)*14700 : 3057.6lbf Ioad for pathl-l lesserof W or W1-l =-53606.18 lbf Pathl-l Thru(l) & (3) : 11294.57+ 15257.07: 26551.64lbf Pathl-1 is strongerthan W soit is acceptableper UG-41OX2). I-oadfor path2-2 lesserof W or W2-2 : -53606. I E lbf Path2-2Thru (1), (4) = 11294.57t 25585.67: 36880.24tbf Path2-2 is strongerthan W soit is acceptableper UG-41(b)(2). RcinforccmentCalculations for ExtcrnalPressurc Limits of rcinforccmcnt UG-l(} Terz o Dat lJ" li,r9- t- o ,r Parallelto thc vcsselwall d : 7.75 in Page f3 e-- rt CoMPR-ESS5.51 C:\C5\BSCt05ID.VSL Dcc. 19, 1995 NozzlcG Normalto thc vesselwall outsidc2.5*(tn-Cn) | tc : .3 in Normalto the vcsselwall insid€2.5*(tn-Cn-C) : .3 in Nozzle required thickncss LlDo : 2.05/7.99 : .3285 Do/t : 7.99/0.01796: 444.8775 From tablcG: A - 0.000462 From tablcHA-3: B:4906.1 Pa: 4*B/(3*Do/t) : 4*4906.I /(3*7.9910.01796) = 14.704psi Nozzlerequired thickncss trn : .01796in Rcquircd thickncsstr from UG-3?(dXl) : .3084 in Arca rcquircd Allowablcstrcsses: Sn : 14700, Sv : 14700, psi frl : lcsscrof 1 or Sn/Svso frl : I fr2 : lesscrof I or Sn/Svso fr2 :l A : 0.5*(d*tr*F 1 2*tn*tr*F*(l - frl) : 0.5*(7.75*0.3084*l+ 2*0.12*0.3084*lx(l_ l)) = 1.1951in^2 Arca availablc Al = largcrof the following = 1,485in^2 : d*(El*t-F*tr)- 2*tn*(Elxt-F*tr)*(l-frl) : 7.75*(1*0.5-l*0.3084)- r*0. 12*(l*0.5-l*0.3084)*(1-1) : 1.485in^2 : 2*(t+tn)*(El*t-F*tr)- 2*tn*(El *t-F*tr)*(l-frl ) : 2*(0.5+0, 12)*(1*0.5- I *0.3084) - 2*0. 12*(l *0.5-l*0.3084)*(1-1) : .238in^Z A2 : smallerof thefollowing : 0.061in^2 : 5*(tn- trn)*fr2{'t = 5*(0.l2- 0.01796)*l*0.5 : .255n^2 : 5*(tn - trn)+fr2*tn : 5*(0.12- 0.01796)'*1*0.12 -- .061in^Z ?,r. o A4l = l*g^2*fr? = = - 0.125"21 .016in^2 Dae il" V.,/ r' / ott- Pagerv o" 't COMPR.ESS5.5I C:\CS\BSCI05ID.VSL Dcc. 19,t995 NozzlcG Arca : Al I A2 '1 A4l = 1.485r 0.061-t 0.016 : l.562in^2 As Area > A the reinforccmentis adequatefor Pc : 14.7at 400 Deg F UG-45 Nozzlc Ncck ThickncssChcck Wall thickncssper UG-45(a): trl : 0.01796in (E = l) Wall thickncssper UG-45(b)(2): tr2 : 0.0525in Wall thickncssper UG-16(b): tr3 = 0.0625in Stdpipe wall pcr UG-45(b)(4): tr4 = 0.28175in Thc grcatcrofb2 or tr3: tr5 = 0.0625in The lesserof tr4 or tr5: tr6 : 0.0525in Req'dper UG-45is thc largerof trl or tr6 : 0.0625in Availablcnozzle wall thicknessnew. tn = 0.12 in Thc nozzlcneck thickness is adequatefor Pe. 2"O ?o, l)o /ny?- /-C/f Pagesr ",' s7 COMPRESS5.5I C:\C5\BSCl05ID.vSL Dcc. 19,1995 NozzlcG Applied t oads Radialload Pr : 693.4lbf Circumfcrcntialmomcnt Mc = 0lbf-ft Circumfcrcntialshear Vc : Olbf Longitudinalmoment ML :0 tbf-ft Longitudinalshcar VL = 0lbf Torsionmomcnt Mt : 0lbf-ft Intcrnalpressurc P: 2psi Strcsscsat thc nozzle OD pcr WRC bulletin 107 ( psi) It{eanradius Rm : 52.75in Rm/t = 105.5 Strcssconccntration factor Kn (tension): I Strcssconccntration factor Kb (bending): I Prcssurestrcss intensity factor, Farr equation I1.5 I : .25*(4t 3*(rlx)-2_13*(r/x)^4) : .2r*(4 | 3*(3.875t4.12r^21 3r.13.875t4.12)^4) - 1 1< Local circ. prcssurestrcss : I*P*Rm/t : 415psi Local long. pressurestrcss : P*Rm/2t : 106psi Maximumcombined strcss :-2389 psi Allowablecombincd strcss : + -3*S : +- il4l00 psi The maximumcombincd strcss is within allowablclimits. M_aximumprimary mcmbrane stress =-363 psi Allowableprimary membrane stress = +-1.5*S : -f - 22050psi The maximumprimary mcmbranc stress is within allowablclimits. ?utrt Da. l)" lav9-/-Otr Pagc ta- a' (.7 COMPRESS5.51 C:\CS\BSCI05ID.VSL Dcc. 19, 1995 NozzlcG From Value beta Fis. read BI Cu .I Du DI 3C* t16.149I0.066 -425 -425 -425 -425 4C* 117.85010.066 -469 -469 -469 -469 lc t0.1215t0.066 -?022 2022 -20?2 2022 2C-1t0.0842t0,066 - 1401 1401 -1401 1401 3A*13.3073 10.066 lA t0.0927t0.066 38* tI0.765t0.066 lB-1t0.044rt0.066 pressures tres s* 475 475 475 475 475 475 475 473 Totalcirc stress - 1395 1407 -1395 1407 -1972 ?072 -1972 2072 Primarymembrane circ stress* 6 6665050 rn En 1a* 16.149t0.066 -425 -425 -425 -425 4Ct 17.850t0.066 -469 -469 -469 -469 IC-l0.124410.066 -2070 2070 -2070 2070 2r 0.0842I0.066 - 1401 t40l - l40l l40l 4.837210.066 2A 0.053sI0.066 AO* 3.288610.066 28-I0.0699t0.066 pressurestress* 106 I nc 106 106 106 106 106 t06 Total long stress - 2389 t75I -2389 I75l -t764 1038 -1764 1038 Primarymembrane long stress* -319 -319 -319 -319 -363 -363 -363 -363 torsion momentMt Circ shearfrom Vc Longshear from VL Tota'l Shearstress Combinedstres s - 2389 175r -2389 1751 -t972 207? -t97? 2072 l?tt D - Doc. A)o. lOr'?- | o/r- Page f7 "t- t7 PROCESSSYSTEMS INTERNATIONAL, INC, ENGINEERING NO:V049-l-016 WESTBOROUGH,MA CALCULATIONS PAGEI OF 33 REV. DEO# DATE BY: CHECK TITLE: BeamSplitter Chamber - FiniteElement 0 iz/L,ltrl /1,tc- AGR- Analysisof I in. ThickFlanges for Bolt Preload. BY: t7 t\. €*o DEPT-:744 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PURPOSE:To determineif bolt clampingforce results in flangedeformation that could allow leakage at Viton o-rinss. METHOD:A 3D finite elementanalysis of a sectionof theplane flange is performed.Brick elements (3D solids)are used in theIMAGES program. Both a coaisemodel and an enhancedfiner modelare analyzed.The enhancedmodel includescompression only springsat the flange interfaceto simulategap opening(nonlinear). ASSUMPTIONS:Symmetry is usedto minimizethe model by usingappropriate boundary conditions. Curvatureof the flangeis ignored.O-ring glands and pumping channel are not included. INPUTS:LIGO projectdesign sketches and drawings. Durometer is 90 for Viton o-rings. REFERENCES:l. ParkerO-Ring Handbook. 2. IMAGES 3D, Version3.0, R.L. Cloud& Associates CALCULATIONS:(See Attachment) CONCLUSIONS:At a locationthat is midwaybetween bolts, the gap between flanges opens a negligibleamount that does not affectthe seal. NOTES:This analysiswas performed for the 104in diameterflange, but it appliesto otherdiameter aswell becauseof similardimensions and bolt spacing.Computer file is FLANGE. f ILED \F.\TEMPLATE\EIIOFOTMS\E|{C,CAI-C / /6 O - l/a r, ,rt 2d ,J ,/ / 0 / /,/ /.!t,tr,, I (' .1 t ,//o, z ty'4 /, ^., a- /.? .t L, t /,'P ooo A o, r 1 )/4;-t '' / t f :a! \ llol '--)/.,' C ?.t :' Son, l. l .)-, C 7 yr' 7' 2;' 't) //r/ J -.?tt zt /)t., rlE ,t,-,);( DF 7i.< .. , .) i tj .'t i- !r'l a,,J .- 4 .-1...,' : T,'a /(.1 a)/:g t -.! tt'/ ( /_ /i l.',t /. t ! , .. -.,- : .? 74 s Yz a E (l i."P '"J '' /- ,- ..-Z a i ,312,tr:: ?-.y' i?i / i \ - 4, tr./.: ( ...t,,2.t) (- . 3.D 3.2,..\ 5t /i /a;),,, J t.L). . | -.3' -ji 1:J.!4 , r'/.'.2,; L -,, '1't ,") F / 1.,? 11:,rt t ( // /J Trl/.).r.F4 ,,-.. ..,J t y' (-/.,/.../ 1?r r frl | ):t( /t le ( /1)., i/,,,. * t/ ,.,.a f- ///,. r l'-: c, 1/4'..\" : y'2 /'.',t :! ! tlt , ! ,. Reiisiono Doc'No' V049-l'0t6 Pasel'of33 I ,eEti':. \ z? 'r / 5-l = ?,to ,J 114' DIA,------*r 110DIA, 1C8,DIA, 1071/a' DIA.----- 106 1/4' D]A, 105'DIA, r04 7/8' 104 ---..-1 l/4' I.D, .c05' I -.------_-_- 1/o'. '). I ''rt '' r' tt 1/3?, Strtr NrnTc t iaa ntrr^rr ,", / 1n'q 1/a. 1' DIA,,Z' F]LES EOUALLYSPJCID ,015' R Revision0 Doc.No. V049-l-016 Pase3 of33 .t i ooo e f-r.r,,s ,,-?'. 'dS l \l3E I \9/ lr I L t! t\ |. rJ t rt..rF R er.:^'\ '.tr { i. ' Revision0 tl DocNo. V049-t-0t6 Page4 of33 v q \k t f\. ,f,.,(" llr- ll 'al I l\.in -- t l\-\ l'!\ I {______-l\$t , ,<] t ;.' \: \Jt I .l tl v >\. \ \ t. s \tl : f, \.,/ f, \ \ a ! ,i\ M c-\ q { Revision0 Doc,No, V049-l-016 Pase5 of33 ,7 400 L/t' l/ al./ t7,tt -.1 .. . f E 4..-"{a-r- D D,a ,t .U LJ ?- 4.ii /a,,d .. 6L i i zi / // , ? , lz r /!z t)? Revision0 Doc.No. V049-t-016 Page6 of33 Df t,r r.; /; / € .1.; n 'r: t' i7 /3 ...)' : 7 '7, t /, /A+. /a ? a '> D.--, .2, a^'t'' y'l ;) (. Ft r /,J ! -?t',( //^.7 .) /, - t,5 -.: /te 2. ) , .-. '! ..:. ' ,"-a 7) ,"t J q9,3 Ct'.7 y2, L qr.y .// , a !t z?'L t1.7 Revision0 Doc.No, V049-I-0r6 1t' s-7. J Psse7 of33 -a / u | ' t-, tn@ qt e{ ;; N q,tn ttl tl o- $E csd O a.r H= I OJ 'E lr{ X I f- I E F ,t-- mE f, | 'L u l Cn +r lrl o t- c?'E EbB r-. => C5 Revislon0 DocNo, V049-l-016 Page8 of33 tno) RY Rts g1 I g ll o {J E .o o- tfE CD rg O Cl .r H= I f- t tE N t------; Er til'' 3 a.l \ t \ A mcs 5, J__,'. 'Jr tnm{r| L lllo (Jt (Er.O \ H>CJ Revision0 Doc.No. V049-t-0I6 rage 9 of33 'E(Jo E.A d(',) F E.r q, 'l d,E trg .a xolfi trl E i t eE' I ) lrt E a\- t-l go .tEOE F- g 5 6l F. tso ME :: -oo€ u,mt. o trtz lr{ o tn ?J rE E)E) r{ tr= =o .a.a ->Fl Lfl E€ r{ 6at +j> O 0J +r ,r- JO E E C-. C-' C' (E= Revision0 Doc.No. V049-l-016 Pagel0 of33 r- i3 +1 {'4. ou ''i ] =ul {tt dtr lE'd r"- A'6 -E ,:,1 =o Irr H 1_.1 f,? ,:v o ,:t +rEl .,< F XrE l{E E+J tr t< oo N ]q trr EEN = = .,.1 rr t t tJ1 I 6\ + 'trt I * EL tr+,-{ \- 30J E OE *t mo t E q,a -oo€ I t< o- o (4 an +r - o F- lrloo+r tj.c o qr 0t (E !i e O- X o1(! tt A, E O Q Z(EEI tr EN E(E| -=c] | | | 'd qG r'E i @O?O tr Fl l. r-{ ,{ Fl +JE t'i O)'-' | | | ll e.tr.xtr.>.c-.Ntr.s.tr. aE- Revision0 Doc.No. V049-l-016 Pagell of33 t- .\) ///, e '/ :. d r): n a O.3- c '; / t..; t,rA;( az))z. 4.:- rr,/r-a./ a,i A t3 -/ /,1,/ a ;2 .; -'r !.. ,4t 2, i ,r 4 4.?l , ..) .E: E t ,F .'+.i-,.. - 7-ttQ 1r-t6r, 7t/4 E I 4-s L€ 7 /..< .1 .L,t; ! ,,/ ,,-.? / + q z-.-) d ,/y'-'.r D 4v //o 1,-?,i?-rr j^) <* z-'t€ 'i) ? 1),-- E t ,f ."...,. -! 4z .t *J t. ;, t.z..u J/4,: ooo F,?,'."'r ? 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ENGINEERING NO:V049-l-017 WESTBOROUGH,MA CALCULATIONS PAGEl OF IO REV. DEO# DATE BY: CHECK TITLE: BeamSplitter Chamber Finite Element 0 o/3t ,f\(er( Analysisof I in ThickFlange for Boh Preloadplus PositivePtessure 't BY: ,1 .D (, 4 r-t DEPT.: Y Y PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:To determineif bolt clampingforce combined with a positiveinternal pressure of 2 psi resultsin flangedeformation that could allow leakageat o-rings. METHOD:The same method used for thepreload - only analysis(V049-1-016) is usedin this analysis. Pressureload is addedto thefinite elementsmodel. ASSUMPTIONS:Same as preload-only analysis (calc. V049-1-016). The fine modelis usedwith compression-onlysprings at thesurface between flanges. INPUTS:LIGO projectdesign sketches and drawings. Durometer of 90 for Viton o-rings. REFERENCES:1. ParkerO-Ring Handbook. 2. IMAGES-3D.Version 3,0. R.L. Cloudand Associates CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The gap opening between flanges is negligibleand does not permitleakage of o-ring seals. NOTFS:Computer file is FLANGEA. FILED u: \TET4'IATE\ENGFOS},1S\ENGCALC / //.n F LtL.'tr' 3J /? ). t' : - f' r,,1-''t : ]D F d lr t)./, . ,,,J, r ': .1-t E.'. - .24 .7 6.t 's P1 uJ .i2 d) P a-r_: ts .t a 'i ,4 o a .'t'r, '= .,4. /28)! / t , ,/.i /),,'t .iJJ ...,r ,'-- Uf .'. J ,. - . :- J1/ fi .//[tJ FL /'-),/ T4 ,Ft,t..' ;.t Pn Ert,tn; 1,-,2.J ;.2 o r-1 4):.r.,';') C r' t ,,.J D{ -4- ooo '@./'A Dl^ a --- D- 7 43; /c1 4. Zs' '/ . -\ F! .. , //.)r/ ttr 2- r z, / r'2/..4 y'J '4,. uo., A. aN a 1/ /r 'J .2)"ll .t-z. / /,?i > | | ,7, r' .4 ,l)"ar.-r /2// tu /t-t",..r/. y',,), ?'L 2;Y - d'7 tr Ett2 Atoo;,1 /3r/ / /r1,/ Revision0 Doc, No. v049-l-017 PEge2 of l0 l?a,; t ,:'.r -, (,. '?.^.' 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Thick Flange BY: R.D. ciano DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PURPOSE:To determineif thin flange(3/4 in) canwithstand clamping force due to bolt preloadplus 2 psi intemalpressure without leakage at o-ring. METHOD:The 3-D finite elementmodel used for the I in. thick flangeis modifiedto obtaina 3/4thick flangemodel. ASSUMPTIONS:Same as I in. thick flangeanalysis. INPUTS:LIGO pr6jectdesign sketches and drawings. Durometerof 90 for Viton o-rines. REFERENCES:1. ParkerO-Ring Handbook. 2. IMAGES3D. Version 3.0. R.L. Cloud & Associates. CALCULATTONS: (SEE ATTACHED) CONCLUSIONS:Although the gap opening between flanges is greaterfor the 3/4 in. thicknessthan it is for the I in. thickness,it still doesnot permitleakage. Ifa 1 in. or I 1/4in. flangeis damagedby gouging,its thicknessmay be reduced by asmuch as l/4 in by machining. NOTES:Ifa flangerequires machining, it locationshould be evaluatedfor tensileforce. 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O,t,i + C- ,2,^'. ,)'3 C / {.r z P. ,r. tJ / ,/?z /,/ t/ 2 ,7 t- t - r.A /?",, ou u , /t '/ /,.:,1 t" r. .a .: / C:' / = i,.t.. . F o ayJ,a r' '- nl z;/La: lJ.-a; Tn ,'',, n ?21 , ?D3 ta (a ',1 t dc 37/ '/ 31 ,t/03 Oo>€4 . -t z3 -z_ (ro)' O'rl 11't 7. .3Yo tlt JJ 7 ,I LL Revlsion0 Doc.No. V049-l-018 L/YL- '11( Prgel6 of lE (rr a, ,. /- DzA';"i,.r-l f iaa'tc^.J ,/7.:1r f P./7-l f ! -V2fJ + f2,/ ,o/rn 7t __ _qoc? + ooo R.? rtt r to.r/ /a .? ;.4 OL-/7.2J ? /-/ lt 4 t' / o\ 7 €' Ma , .,+.,^t .(.-: t'2zr ., .t | | i ,.J .:]i:a F(A.J+lJ /4a, r) z-: E2.rn F r -,,.r /J 4 r A eDLt 1/3 / (4, / M,/r',?' ,L A i t.'.) h PtO 1.4/..1 ' F ';r".,.t a;-.sl /3 .', 17'3 ) ,/ ^" Lra^t J- r't E,^,2 Bd; * .2 1t 7 //? i| "1 .1 .N ,. i-t i ):- /: I /),a;!)1..' : /)a4R.e.7 7'J.! t- i .<- Z r=.- A.) i -t -, /, /3 ? ('?/ (-M2 /",'J A,,, ,i 7 d *( ' .y' 't.L.ofr ?D.4 ?.7 'i:.1 J OF dtt 2aJ f 4 t 4 Pv. n .rr 4 /J.1 .v14 /3 t.'". (P Ar -,e) .?- sP t/tl) - f / /t/J7 O o;n,'"u 1, c) ti 6fie ( '. ',1 )r'1 ,i t J 1 '5 n1 d,3 O -rl ,"t. ,1 /-tA O- fi.r"t t R,; kA t4J d L1/'4 /7 4 ESJ fa D ,,1a /^J 6 /p 7.f e/\),a a Pa,;ts = ? ?t . g" Revision0 Doc.No. Vfi9-l-018 Pagel7 of l8 ^y'4 - x t,". z n4 7 .nuJ ,, I ti { ?/,4 ..1- l/l ro r-.t O- A. ^l <- T-- ,t/df z4 y'7- POa.Z ,/. ? / /) Lti a / tt.E 0- /- ,^, ,, L t,+/ * .f .1 ooQ ,^ .a. € .i '!:-9.t /'?\ .7 f 7 4.2aP., 3,t,.ae,4gr- 't '/ -.u '7/r,! 1A '., .4 .'t. A ,!: 7t) tla / f.*) f ,-4 .2 .4 la-./ 1 7."t 6 ( i.1. 4 7D ta y'-.'.t /t'tt tt ,' .1 ,? /J .t,'C ,a e P '/- ,/,/ /? -T 7D - /, r7 -- al..r ( ,+.,"'/."r Revision0 Doc.No. V0rt9-l-0t8 Page18 of l8 PROCESSSYSTEMS INTERNATIONAL, INC. ENGINEERING NO:V049-1-019 WESTBOROUGH,MA CALCULATIONS PAGE I OF 24 REV. DEO# DATE BY: CHECK FlangeDesign for InternalPressure 0 002t t z./t- /5t' /v) a- 7'u,V BY:/t 2.C )a--o DEPT-: 744 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PUMOSE: To evaluatebolted flanges ranging in diameterfrom 30 in. to 104in. for positiveintemal Dressurein accordancewith theASME Code. METHOD:The calculationmethod provided in AppendixY of theASME Code,Section VIII, Division l, is used.This method applies to flat faceflanges with metal-to-metalcontact. It hasbeen programmedon the Quatro-Prospread sheet program. ASSUMPTIONS: INPUTS:LIGO projectsketches and drawings. REFERENCES:l. ASME Boiler& PressureVessel Code, Section VIII, PressureVessels, Div. 1, AppendixY. 2. Quattro-ProVersion 5.00 Dtr',-,1 "' 3, Doe,.Jo. y'aufi-t-t:zc / | 4 o y'zt .',rr' ,Va u ,,- . . fr-a,rr:r.,,,.r, l't 'r CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:Using a nominalbolt spacingof 7.2 h. for'1/8in. diameterbolts, the flanges meet App. Y of SectionViii, Div. I for 2 psi internalpressure. Computer file namesare shown in the lower left comerof theoutout in this calculation. NOTES:In this calculation,flange thickness varies from 3/4 in. for smalldiameter to I in. for large diameterflanees. FllEDr\FITEMPLATEIENCFORMS\ENCCALC R,t <-- I /6 o * 6.j 3 - Vu Pa r.rt,rn /o Ft ,a ,.' t .: /).i ! / t .,/ / ;t-, 7€ .1 .a /1 < 2a4tJJn,. 7tl 4 / 1.rtzr..:t ?1 .1 .i E y',+L L).r r.a.a '-.'_.- t? zz c 4 ,2 .L.i. /7 c,- /// // ,)t ),.- , El4.r/...?,1 4pe Y t= "'* F.-2-r z=,ie,1 . ^-/41 f aFJs J-| .; 2J 2 ,,-.t ,o.t P,i!//,.t) r 5 .r/. 7,t ,; / o.', ' ",,, . ,t an 4 c.a /( r ,_r.3 ! J _/ J /,us.a ()ri ,). flr,'r--., .,, /J O F,.4 L / Z ., .\ 't (' i . Jr' s-/ .. .4.'-. J t.. .., " ' ./t ;, / PJ .4 .t '7 f .t"? ' 'Z 7' ? tt /) -t t2 t.t 4't'':':. ;r\ /?4.v,4t/r< A -t.t ? ,it -; .-,i ,.L :2.. ))! '? 7/)i '4r')-X ltl'' 4) z , ..',, 1a / , ,/-i, t , ; i .t . -.,- . ( 2!1 /6f /,i /r ..: :,r /t,r J,,-t,t /,J a7,.t Pf J a ( E t? ,f t -r t. e ( ,:,, o /J t-| L.tZ, I fZ, /:. y' ,':7 z ,- ,..1- -- ?(,4d) -- 72a , a/.,' ' ' nLr',.f O,r ,.1./,... : .{ z/' /,t -J) / 4z:, / +.-,/t 6 .: /l 7,,u ti /..4: e'1 i 't Revision0 Doc.No. V049-l-019 PegeZof24 t R. D.Ciatto 19oct95 THrSPROGRAM SOLVES AppENDtX y (y-61) FLATFACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE) ASSEMBLIES WITH OR WITHOUT SELF ENERGIZING GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANALYZECLASS 1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1. 91=gO=thicknessof vessel wall 2. B substitutedfor Bl 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT: C = BOLTCIRCLE DIAM in. PRES= InternalPressure for this case B=lDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THICK@ SMALLEND rb=SEEFIG Y3.1 V=SEEFIG 2-7.3 F=SEEFIG 2-7.2 t=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLTS db=DIAMOF BOLTS re=RATIOMOD E (flange)/MOD E (botts) Z=SEEFIG 2-7.1 INPUTVALUES...... 104 114 in Ftange g1 andg2=0for lig2-7.3 loosetype flanges requiredfor integralonly Revision0 FLGIM.WQl Doc,No. V049-l-019 Page3 of 24 R. D. Ciattol9-Oct-95 F I G n db rE fhub 'l 0.75 00 108.25.lc 48 0,755 0.96 1. Iig2-7.2 fi92-7.6 requiredfor fhub=1 for integralonly loosetype flanges unitgasket seatingand sealingforces RESULTS/OUTPUT: Si = DESIGNPRESTRESS IN BOLTS Sr@BC= RAD.FLANGE STRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St = TANGENTIALFLANGE STRESS @ lD Sh= LONGITUDINALHUB STRESS (= 0 FORCL1, CAT3 LOOSE TYPE FLANGES) CALCULATEDVALUES for loose Revision0 Doc.No. V049-l-019 FLGt04.WOl Page4 of24 l R D Ciatio'l9oct.95 operating boltuP operating moment moment slope 4837.0 190443.3407939.2 299268.1 boltup operating boltup operating boltup slope contact contact boltload boltload AR rB nrB K z 0.113550 0.000467 0.022424 1.066667 15.52 SlGMAbo SIGMAbb Sio sib Sr@BCo Sr@BCb 18983.24 13926.29 18844.7 '13832.3 2749.O 1865.0 St lDo tDb Revision0 Doc.No. V049-l-019 FLG104WQI Page5 of!4 R. D.Ci.tto l9oct-95 THISPROGRAM SOLVES APPENDIX Y (Y-61) FLATFACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE) ASSEMBLIES WITH OR WITHOUT SELF ENERGIZING GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANALYZECLASS 1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1. 91=g0=thicknessof vessel wall 2. B substitutedfor Bl 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT: C = BOLTCIRCLE DIAM in. PRES= InternalPressure for thiscase B=lDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THICK@ SMALLEND rb=SEEFIG Y3 1 V=SEEFtG2-7.3 F=SEEFIG 2-7.2 I=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLTS db=DIAMOF BOLTS re=RATIOMOD E (flange)/MOD E (bolts) Z=SEEFIG 2-7.1 INPUTVA1UES.,...... 84 1/4in Flanoe gl andg2=0 for fig 2-7.3 loosetype flanges requiredfor integralonly Revision 0 Doc. No. V049-l-019 FLG84.WQ1 Page6 of24 R. D. Ciattol9-Oct-95 tig2-7.2 fig2-7.6 requiredfor fhub= l for integralonly loosetype flanges unitgasket seatingand , sealingforces RESULTS/OUTPUT: Si = DESIGNPRESTRESS lN BOLTS Sr@BC= RAD.FLANGE STRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St= TANGENTIALFLANGE STRESS @ lD Sh= LONGITUEINALHUB SIRESS (= 0 FORCL1. CAT3 LOOSE TYPE FLANGES) CALCULATEDVALUES for loose typeflgs R€vision0 Doc.No. V049-l-019 Page7 oI24 FLG84.WOI R. D Ciatto19-Ocl-95 operating boltup operating moment moment slope boltup operating boltup operating boltup slope conlact contact boltload boltload SlGMAbo SIGMAbb Sio sib Sr@BCo Sr@BCb 1758095 13585,37 17451.7 13491.9 2604.2 1882.2 St lDo tDb Revision0 Doc,No. V049-t-0t9 PageE of24 FLG84,WO1 R. D. Ciatto19-O.t-95 THISPROGRAM SOLVES APPENDIX Y (Y-6.1)FLAT FACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE) ASSEMBLIES WITH OR WITHOUT SELF ENERGIZING GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANALYZECLASS 1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1.g1=g0=thickness of vessel wall 2. B substitutedfor 81 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT: C = BOLTCIRCLE DIAM in. PRES= lnternalPressure for thiscase B=lDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THICK@ SMALLEND rb=SEEFIG Y3.1 V=SEEFIG 2-7.3 F=SEEFIG 2-7.2 I=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLTS db=DIAMOF BOLTS re=RATIOMOD E (flange)/MOD E (bolts) Z=SEEFIG 2-7.1 INPUTVAIUES...... 72 1/4in Flanoe gl andg2=0 for ng2-7.3 loosetype flanges requiredfor integralonly Revision0 Doc,No. V049-l-019 Page9 of 24 FLG72.WO1 R. D.Ciano 19oct-95 tig2-7.2 tig2-7.6 requiredfor fhub= l for integralonly loosetype flanges unitgasket seatingand sealingforces RESULTS/OUTPUT: Si = DESIGNPRESTRESS IN BOLTS Sr@BC= RAD FLANGESTRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St = TANGENTIALFLANGE STRESS @ ID Sh= LONGITUDINALHUB STRESS (= 0 FORCL1, CAT3 LOOSE TYPE FLANGES) CALCULATEDVALUES for loose typeflgs Revision0 Doc.No. V049-l-019 Pagel0 of24 FLG72.WQ'1 R. O. Ciatto19-Oct.95 operating boltup operating moment moment slope 133706.2 boltup operating boltup operating boltup slope contact contact boltload boltload SlGMAboSIGMAbb Sio sib Sr@BCo Sr@BCb 16337.53 13036.47 16213.8 12943.5 2509.7 lDo St tDb Revision0 Doc.No. V049-1-019 Prge llof24 FLG72.WQ1 R. D.Ciatto 19-Ocl95 TH|SPROGRAM SOLVES AppENDtX y (y-6.1)FLAT FACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE) ASSEMBLTES W|TH OR WTTHOUT SELF ENERGTZTNG GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANALYZECLASS 1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1-91 =gO=thickness of vessel wall 2. B substitutedfor 81 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT: C = BOLTCIRCLE DIAM in. PRES= InternalPressure for thiscase B=lDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THICK@ SMALLEND rb=SEEFIG Y3.1 V=SEEFIG 2-7.3 F=SEEFIG 2-7.2 t=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLTS db=DIAMOF BOLTS re=RATIOMOD E (flange)/MOD E (botts) Z=SEEFIG 2-7.1 INPUTVALUES...... 60 'l14in Ftanoe Thickness= 718in 91 andg2=0for ftg2-7.3 loosetype flanges requiredfor integralonly Revision 0 Doc. No, V049-l-019 Page 12 ot 24 FLG6O.WQI R. D. Ciattol9-Oct-95 frg2-7.2 frg2-7.6 requiredfor fhub='l for integralonly loosetype flanges unitgasket seatingand sealingforces RESULTS/OUTPUT: Si = DESIGNPRESTRESS lN BOLTS Sr@BC= RAD.FLANGE STRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St = TANGENTIALFLANGE STRESS @ lD Sh= LONGITUDINALHUB STRESS (= 0 FORCL1, CAT3 LOOSE wPE FLANGES) CALCULATEDVALUES for loose typeflgs Revision0 Doc.No. V049-l-0I9 Page13 of24 R. O.Ciatto l Socl+s operating boltup operating moment moment slope .26 1.437E+05112594. 214503.5 boltup operating boltup operating boltup slope contact contact boltload boltload SlGMAbo SIGMAbb Sio sib Sr@BCo Sr@BCb 1597090 13173.69 15777.3 13022.0 3126.0 2448.9 lDo tDb 134.4 105.2 Revision0 Doc.No. V049-!-019 PaEe14 oJ 24 FLG6O.WQ1 R. D.Ciatlo 1$Ocn95 THISPROGMM SOLVES APPENDIX Y (Y-6.1)FLAT FACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE) ASSEMBLIES WITH OR WITHOUT SELF ENERGIZING GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANAL\ZE CLASS1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1.91=gO=thickness ofvessel wall 2. B substitutedfor 81 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT; C = BOLTCIRCLE DIAM in PRES= InternalPressure for this case B=lDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THICK@ SMALLEND rb=SEEFIG Y3.1 V=SEEFIG 2-7.3 F=SEEFIG 2-7.2 I=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLTS db=DIAMOF BOLTS re=RATIOMOD E (flange)/MOD E (bolts) Z=SEEFlG2-7.1 INPUTVALUES...... 48 1/4in Flange Thickness= 718in g'l andg2=0 for fig2-7.3 loosetype flanges requiredfor integralonly Revision0 Doc.No, V0t9-l-019 Page15 of 24 FLG48.WQ' R, D.Ciano 19oct-95 li72-7.2 tig2-7.6 requiredfor fhub= 1 for integralonly loosetype flanges unitgasket seatingand sealingforces RESULTS/OUTPUT: Si= DESIGNPRESTRESS lN BOLTS Sr@BC= RAD.FLANGE STRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St= TANGENTIALFLANGE STRESS @ lD Sh= LONGITUDINALHUB STRESS (= 0 FORCL1, CAT3 LOOSE TYPE FLANGES) CALCULATEDVALUES for loose typeflgs Revision0 Doc.No. V049-l-019 Page16 of24 FLG48.WQI R. D. Ciattol9-Oct.95 operating boltup operating moment moment slope boltup operating bolt up operating boltup slope contact contact boltload boltload SlGMAbo SIGMAbb Sio sib Sr@BCo Sr@BCb 15673.57 13379.53 15489.8 132293 2967.4 2426.3 lDo Db 160.2 13'1,0 Revlsion0 Doc.No. V049-I-ol9 Page17 oI 24 FLG4A.WQ1 R O.Ciatto 19-Oct-95 TH|SPROGRAM SOLVES APPENDTX y (y€.1) FLATFACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE) ASSEMBLIES WITH OR WITHOUT SELF ENERGIZING GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANALYZECLASS 1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1. 91=g0=thickness of vesselwall 2. B substitutedfor B1 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT: C = BOLTCIRCLE DIAM in PRES= InternalPressure for thiscase B=lDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THIQK@ SMALLEND rb=SEEFIG Y3.1 V=SEEFIG 2-7.3 F=SEEFIG 2-7.2 t=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLIS db=DIAMOF BOLTS re=RATIOMOD E (flange)/MOD E (bolts) Z=SEEFIG 2-7.1 INPUTVA1UES...... 44 1/4in Flange Thickness= 3/4 in g1 andg2=0for fig2-7.3 loosetype flanges requiredfor integralonly Revision0 Doc.No. V049-t-019 Plge lt of24 FLG44.WOI R D Ciana19oct.95 fig2-7.2 tig2-7.6 requiredfor fhub=1 for integralonly loosetype flanges unitgasket seatingand sealingforces RESULTSiOUTPUT: Si= DESIGNPRESTRESS lN BOLTS Sr@BC= RAD.FLANGE STRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St = TANGENTIALFLANGE STRESS @ lD Sh= LONGITUDINALHUB STRESS (= 0 FORCLl, CAT3LOOSETYPE FLANGES) CALCULATEDVALUES for loose typeflgs Revision0 Doc.No. V049-l-019 Prg€19 of24 FLG44WQl R. O. Ciattol9-Oct-95 operating boltup operating moment moment slope boltup operating boltup operating boltup slope contact contact boltload boltload .001351 0. 420 1.156425 SlGMAbo SIGMAbb Sio sib Sr@BCo Sr@BCb 14299.69 12350.34 13981.6 12086.4 4015.4 3331.8 SI lDo tDb 235.4 195.3 ok ok Revision0 Doc.No. V049-l-019 Page20 of24 R- D. Ciano19-Oc!95 TH|SPROGRAM SOLVES AppENDtX y (y-6.1)FLAT FACE FLANGES FOR CLASS1, CAT 3 (LOOSETYPE)ASSEMBLIES WITH OR WITHOUT SELF ENERGIZING GASKETSFOR POSITIVE PRESSURE OR VACUUM PRESSURE. ANAL\ZE CLASS1 CATEGORY3 LOOSETYPE FLANGES ONLY. ASSUMPTIONS: 1. 91=g0=thicknessof vessel wall 2. B substitutedfor Bl 3. conditionsat boltup andoperating evaluated separately 4. F'=0for loosetype flanges implies Ms is zero REQUIREDINPUT: C = BOLTCIRCLE DIAM in. PRES= InternalPressure for thiscase B=IDOF FLANGE A=ODOF FLANGE 91=THICKNESSOF HUB AT LARGEEND gO=THICK@ SMALLEND rb=SEEFIG Y3.1 V=SEEFIG 2-7.3 F=SEEFIG 2-7.2 t=FLANGETHICKNESS ASSUMED VALUE G=DIAMOF GASKET n=NUMBEROF BOLTS db=DIAMOF BOLTS re=F{ATIOMOD E (ftange)/MOD E (botts) Z=SEEFIG 2-7.1 INPUTVAIUES...... 30 1/4in Ftange Thickness= 3/4in 0.000 0. 0.11 91 andg2=0 for fig2-7.3 loosetype flanges requiredfor integralonly Revlsion 0 Doc. No. V049-l-0t9 Ptgel of Hr 3 / FLG30.WOl R. D.Ciatto 'l9oct-95 Iig2-7.2 fig 2-7.6 requiredfor fhub= 1 for integralonly loosetype flanges unitgasket seatingand sealingforces RESULTS/OUTPUT: Si = DESIGNPRESTRESS lN BOLTS Sr@BC= RAD.FLANGE STRESS @ BOLTCIRCLE Sr@lD= RADFLG STRESS @ lD St = TANGENTIALFLANGE STRESS @ lD Sh= LONGITUDINALHUB STRESS (= 0 FORCL1, CAT3 LOOSE TYPE FLANGES) CALCULATEDVALUES for loose typeflgs hc ho F' Hd H Ht Hs 0.50 0.00 485 1815.8 330 Revlsion0 Doc,No. V049-l-019 Page22 of 24 FLG30.WA1 R. O.Ciatto 19-Oct-96 0.88 1.688 2.255 34178.98829908.0 3266. operating boltup operating moment moment slope 11608.976.836E+0459815.9 104354.393996.5 boltup operating boltup operating boltup slope contact contact boltload boltload AR rB nrB K z 0.125365 0.OO17280.027643 1.227642 4.94 SlGMAboSIGMAbb Sio sib Sr@BCo Sr@BCb 14568.23 13122.23 142732 12864.0 3711.4 3247.6 St lDo lDb 525.O 283.1 Revislon 0 Doc.No. V049-t-019 FLC30.WOl Page23 of 24 R o , - /?zt ,: c,^-, a y'n,ata4 /?e..n /?:/ 4 ruf 46!/a, ,Dat r- O ./) h/mt O ( ro."t..,r,(J ...0-.i/1 .etl < /2.1 Elr u.r.t .,4 f 4 z)trt,. A2'i * rt dG c t'.^t at ) ooo Ft4.,/24. d,,, Erc . Ule f , z '- tg /'o/a r a/ c{ .i .i /or r'? q,r 7 9J1 g/, t, f )-.a t-1 14 /'-\ i6! ) (V (/ t) 3/? rr7 7170 /L 36 )t 1 73// 7 /t t 7/{o yr ? /(t +r c 70/ 7 /)/ /i 3 (, c 6/aL ]a ,/ c?,/ 3.- / 6.rzz Uo/4 : /7;",- /t /L) e,2.i.4s; o 7D '< /0 -t: .- ,1 .- rr S z-'at- eat, -/-.u 2.<; ( a-t z 2+/? /. z * NA, a.. /3 aL r t .- .,, J . /J | ,7 i.r f-? .. re.)a'd-3 zq ,r.L 7'/.i J D .,v , f?'2,, ?4. e aL/? / /. ZC f7.'tttt '.'.'- O D,t. lrc y't'v 1 - /'Otf P zy c. z/ PROCESSSYSTEMS INTERNATIONAL, INC. ENGINEERING NO: V049-l-020 WESTBOROUGH,MA CALCULATIONS PAGEI OF 13 REV. DEO# DATE BY: CHECK BeamSplitter Chamber - Designof RemovableWork 0 0024 ilhuql Iz-ou AG?- Floor BY: R-D Ciaho DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PUMOSE: To designremovable floor andsupport members to be installedin lowersection of BSC. MEIHQDI Handcalculations using standard beam design method for supportbeams and removablefloor sections. ASSUMPTIONS: INPUTS:See Doc. No. LIGO-C951078-00-4 which provides response to V049-NL-PL-9(requesting clarificationsof BSC intemalfloor requirements).Maximum load is 500Kg duringmaintenance. This occursat roomtemperature. REFERENCES:l. ASME Boiler& PressureVessel Code, Section VIII, PressureVessels, Division1. 2. AluminumAssociation Hankbook tlx j, ?ac,,tle, y'0qq -t- rdz., l /60 V't(-fr2",r,, !, u.'r ', D;sro't ' CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The design of thealuminum floor meetsLIGO requirementsand therequirements ofthe applicabledesign codes. NOTES: Z - 23-1(a 7 6v t/,3 (tZ x/r,]"2' / , v,') ly'zr:i12..tc {,3 27 / r--..' 6 Rau o Do. . ,<)o. y' a./ 2 - /- d> a P' z .t/= r3 .l , I L'Li-n 4ulJ4rt f//z/ i / : lLlt,/J6o L.tr, a/Z F ltl.v i. - , 't.: . Rl.S r- AIJ l-> t /7 trl a- lA J ! Urt,Z"nr /zt e F'ur r, Gut!:'--, .+r'. 6 3 a e,'//.3 o/2. A -4 t?,.^t t, frf / 2 -c.Lr.s tJ //z 6 r.,35s' 7 )t.L.r'.r,!( t 3,/y t?e a o 2c e, .+)1 u,/.){r- /- tiz o P'z o* t? 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',rrr ! 4/..^.'.." r 4,i44 - . -l D<: tj,f 7 (t') AL ,N .,= F,"4 .4e/ 7, / 7 1",'i ') .''.2 /' ./1- 7 <-../ /j/:- A (- j L 47- L. -' ., (- t/?.'-> -s,/, //'.-s'i /."r)(t,',) : '?,, .'i t?r>,(=., )J- .< f?.et D Doc.No, y'av|-,/- a?n p, /Q DE t3 PROCESSSYSTEMS INTERNATIONAL, INC. ENCINEERING NO:V049-l-021 WESTBOROUGH,MA CALCULATIONS PAGE I OF 7 REV. DEO# DATE BY: CHECK BeamSpliner Chamber - Designof FIangeWelds 0 a | 3i t2/4 /, r te 4 4,/ $ll)fa BY: R. D. Ciano DEPT.:744 PROJECT:LIGO VacuumEquipment PROJFCTNO:V59049 PURPOSE:Design partial penetration seal weld andextemal stitch weld between vessel flange and shell. METHOD:Hand calculation method programmed on the Quattro-Prospreadsheet progmm. ASSUMPTIONS:The maximum discontinuity moments and forces are used for designby assuming thewelded joint behavesas a cylinder/rigidwall junction. INPUTS:LIGO Projectsketches and drawings. REFER-ENCES:l. ASME Boiler& PressureVessel Code, Section VIII, PressureVessels, Div. I 2. Doc.No. V049-l-Q42,Bolted Flange Analysis for TensileForces. 3. Doc.No. V049-1-066,LIGO VacuumEquip., Structural Design Criteria. CALCULATIONS;(SEE ATTACHED) CONCLUSIONS:See attached spreadsheet for acceptablewelds for varioussize flanges. NOTES: ComputerFile: Flange.wbl FILED\f \TEnlPLATE\ENCFORAtS\ENC,CAI-C //tr: /F*et /jz''t..'a,'. ( L" t) ,,,,/,i. T.t 4 ; , 7'r''t 14 ('lt '*'A /z | ' ! ..'? .; t t lar)"11 1 aa",/ZL AJ /tJ t // .t .at .! tG E & J v\) /,c a.,.'. ooo Ft,,. ae ,/ Z'; j,;- ..t/!t t! /)ii/1.- O/3...N,-r,p.)/-> r-.'t-:-, y' .t . t?t z.,.u z= .:,t.t r'l E. a a ,, .-. .-: .2 J1 ^t.1 ; t2i ,. .. ,7," i '-- t/ .l ( r.t t.,' '.I /=/La f k),i( O /t-,..'. ) /! 4J!r-..ia t).f {.: - ''. r: r,- t) 1lJ ,t'a't - /- r I tl D /J , t) 1 t./ ^l 3.-. . F-n ./)EJ . >r .: t/.t .i ,.t4 , .'1 .:./J ,t J .4 J ,? .,'.-.3 J ,azt , 7//lJ i- 4.i "A;tIt -'.: .; ._1 t f/t,: /2,t1.? Ft et . 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DEO# DATE BY: CHECK BeamSpliuer Chamber, FE Analysisof LowerSectior 0 0t''.F r2/L /9'' lLO d.. IL 7 UJ,Y. BY: DEPT.: 744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.To evaluatethe lower sectionof the beamsplitter chamberfor vacuumpressure. METHOD:A finite elementanalysis of the lowersection shell, head and nozzles is performed. ASSUMPTIONS: INPUTS: LIGO projectsketches and drawings. Shellthickness = .5 in. 60 in. nozzlethickness = .5 in. Headthickness. .375 in. REFERENCES:1. ASME Boiler& PressureVessel Code, Section VIII, Div. 1 2. IMAGES 3D, Version3.0, R.L. Cloud& Associates i1-t'' f-4 ). :- L) P.. I Dal' - " 3, Dao- ,^)-. v)o,/i-1-OOt) l/c'o V.!'") )a ,/.r, ( 2 ' r,r.1,4 CALCULATIONS: (SEEATTACHED) CONCLUSIONS:Stresses are within thelimisof theASME Code,Section VIIL Div. l. NOTES:Computer files are BMSPLIIO, BMSPUI I, andBMSPLI12. FILED:\FlT€MlLAIEIENGFORMS\ENOCJIIC R( c- 1' .v .t e 4 tt ;' {) '..v ./J-:v ?{ ..' i -. Ttz V a,i .,,2.< 3 ? 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Pa A f/2 1/+, ? t.r ReiisionO Doc.No. V049-l-022 Paee4 of 16 ', ': fl z,>2 t ,7/) ,: /1 rt,^,1..r\/ C /) ,:.J:,\ /J / /J/ /7 k z 73 -? -77r / ) ,,.t.- o./t ooo -z-?? 7r / /eZ d. / t 9...,' (€l) \_<./ ,//72 /)s)2, E F., /t 7 6 t /t'6 3 ,y,F //_!t' 2zJ./ ,.-; U lz_ /-?a a 'l = ?zc./ /-1 /,/o,,= 7.tc le,,.! t L luy'y'/., .= a ti /- ''.''<€ i J 4 ,'2€ y' 6 t te,'J ?.\r P, J a aE (ace_ A2 , Tu< 4,J.rz4 r,,t.-':- z / t'4 4 /J F ' z7'Z 4 Faa /,,t,F /..^-.:/:': I z'{o ./v ,!a/lJ a,/11< f/t'? .?f lua r.t-.,- /r I L /L //r. t l;1,".:"i 4 F -- (,. 74'+ //,at orr.ot)t zy./ fi- .a . ,,/ F a/?.t e I .f ,f .ati 3 Pa a1 - /. /f .//.,,oa ///1 y'/' / ///a t4.1 / l.a 6rJ ,/p,-6p5. ,y' /t z>.t ty' 4i"'.'- C t e ).: -AJ.r?F..a_( ..i f7.,t-;;^/r,.a | 42- (, t 3 /? ta-t t. ti'/,,: 4..!,'.1 nd f ./.; ?t4' t.i / /- /r- -, ,,:*,.',/a Bit ,t.-,t ooo J,/t t ,'+f t'. 4,.J, ,:- ,/ ,' ( /'G\ / / f ',.-t ' r ,'t,,r < \-9,/ /r'., - 7?,! -'/ .t- .i,.- - ,. .a t.-- - 4.' /.J ))a.1 f h .,... ,. :7--'.-:, ! 2 ,7 'z t 'i:t . , ,' :. .t''t + 3 ,tt :'a i lJ . fa.t. zlt /3nJ.2t//a I , ,- 3t ' .-:;2,;-:_ Aillll) 1a" 2r',7- r74v 2.1 42.r, ),J.5 ' / f 1? ,/, T H /O4. G- t2, -' -- /'J/ 4 rF ^) a ? ,/ !:- Z/ I, L'? -'.; /. A/O >Zr::aJ ,",/r JZ a / 7 ,/+!'' y' , ,1? / '4../ ,- gz-za.'o--.1'g. (ia: A 7 i3 a1- - .',. oE 4 -a //J ?,''.2f< Ztt9/,.tt Revision0 Doc.No. V049-I-022 Page6 of 16 Lo.o D ,'AJ; / '?-=1,-. "t ':.-?.-', ?l/./l \ R n..t \ /!t-,2, t-.tcaf.) -3:-,.,'1.-i' 4r- )J.: !i',.,! i.!';./ t3F tt4 ooo (. - ^). lt y' ntt /e - Zl.! E' !'rtt.,', :r.- ,. z/. a- 2 .t-: t2.'. i :' /'G\ lal \ --\ \.r€E /?.t >. , t /?'t'>'..'--) \_9/ / p t2-2/i 4 .t) a , Zt.tJ /'7. r.-,t ; " /7 4 7 ,l >-;), /-"1 / | , -:"... ',1 , t/ / / /) -L ,7 *-. )r, rf i^.; .i- 7 ,r J.'- Reiision 0 Doc.No. V049-l-022 Psse7 of 16 .. O t c t u., A!,:i ft,-t:,t al ..'L F/Zr4 7// 'u a-f z'rt i L La,/ ) 7"t 7/ t t .r, z.-, .: : R^/sltf/2 000 ( -- , i ts :a.a =.. /,J f . ,- / 1#:I \-jl 5J- /1 - )1 ', .-t ?.1 Z.i z,rJ ,u, ? Z/-4r ' f .'4 ...'..//3 Oyl Du4z- ?it.'t/ r?/ i) t4/4.r44.,/.:- 77.t,3 p/ z: , t2-,': :i, Revision0 Doc.No. V049-l-022 Pss€I of l6 QH tfr t{ o oI (.,:r=' a = o oE IE o q i{ f{ t{ .{ o{ ={'r -r *< -| f oEclooooclooY am rrtTrrrlrra fi td hl td td Id Id Id ltl Id Id ld t= 0o N ro Ft ttr -r ro c{ co cq r0 tJ1 0 6r(t,rOOgm6|rOC{OrO o l{ '.r lnvc{f{\ofilm[DF-00e| |Ea ttltttl (''il Fl =oGtr F. =l EffiENEffiIEMI EI riE Reiision0 Doc.No. V049-l-022 Pase9 of 16 L '\ *c0 \.. \ t" .i Qfr t\l tfr o tr o F o Fi+ aJ1 tr o tr o (J o $ !r tJ1 4 ,9 { tr d nFrlo|.f}tn|r)lntnVVVVO -oooooc|c}c,octo afi ' + + + + + + + + + + + (f, ld ld ld Et kl Id Id ]d hl ld Id l=Or\Ofrrcfmlflf\mm5iO U1 O C{ O m rO m d d 0O LO (\ cf rE| Fi '- a\.1 (\ r{ Fl -l Fl O\ tO V (\ O 9F c5* =g EffiENINItrMI € F I neiisiono Doc.No. V049-1-022 Pasel0 of 16 \9 l\j !i .{ l{F 1 (.. \ t.EtN (\l i Fl \l tri h o tr (J-o q\y F tr t, f! o € <.+ o -..r l -*rE o ,1 q OOO9-r*t.{-.{C.t.{.{ CF? 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F B r,l, r4 (.)N ,1 I.a F r \-\ o i:i E \:). uo ttt = e q r\ c..r *{ t{ -r Fr .r ={ = P P cloclEooc]oYYY FM rlllrrrrttt fi Fl I{ Id ld ld I{ t{ ]d ]d EJ Id dr\.c\mor\.vFtf{v0o tJ1 0 t\ or co $l \o or cr} t\ o -t c.l \|o lr;l .r 0OSFlmS|li.)Cs0O-l-{-{ o aJl, r 4r (E'r I t | | | | t' t' I (JN EO E= € affiflgnttrtEME rE o FI Reiisiono Doc.No. V049-l-022 Pase12 of 16 lr@ Ell Fl qO t''l o tr o +ro oo trr +J lJ1 t{ t-: rt eI L) fi 11$ o o '"N l.i aJ', \: e fi lj = tJ1 lotr)lotolotovlirvvD q oaoclEoEOOOE .l(n +++++++++++ 0') ld Id kl ld td lil lrl lil lrl td I{ Itr FV-|clt€mFofi)t'.O aae C!Omtnm={Cl 0Otr)c'lO N9l El .r c.lc,l-1 '1 .1 nqqac!q |E ()AI -oEN H:> gffiENEtrItrME d .tF Re-vision0 Doc.No. V049-l-022 Pree13 of 16 ;\ -'\ \^ \b'\8 \-j 'r)\ ? c i\ l! <.\- i :ru11tl ll .4 i {Q{fl lL t T\A )o.l o trr k o = e uo E rtn F q ={ -l C{ a! -l Fl i{ Fl Fl Fl -l tr)ooooEfClOOEo F O'l rllllllll n? rd rd rd Id Id Id Id I{ lil ld lil Itr mlirOCq00(flt\FttD6\V c..l cf c] v \o or -r v io 0o 3-r fl.e OIC{mltrF{C{q|.')tOl*'Ol' E CJ gI t | | r' t' I I I IE (E tr otn EO Fr= IffiENEffiIHWI E sG Revision0 Doc.No. V049-1-022 Plqe 14 of 16 ; : ',r t, 'i lJ \.1 " l' \^\ r( .' ! (DQf $il i\t I tt. )cn 5r" u'j! \ s\ =t u, tr afi +JOoo tri +J tJ1 h o= = (Jo o o tJ1 -o il , U1 to|f,|.ntn|IrvvvsTo q oooootftrroooo Efi +++++++++++ an Id Id Fl Id lrl lrl ld ld td ld td t9 t-r!.r\ON!|mf\(\-tO u1 0 Flnrnf{CltoEdVr!O NA' El .* .{ Fr -t Ft r.{ 00 \O lO (tJ F{ O an G c)il -oEg F{:} ffimEnEDltrmI E -F Reiisiono Doc.No. V049-l-022 Pase15 of 16 Co,,'rR,74.' ,ea) AE N nziz.,: G Alat G uzc ta7 /_s Q4 ,a , .a r F 7j4.9 1-3 ooo { ,,, .t, , - t ?(.// )a5 /.G\ ltE \ \r€5 / " /t' ,= ? -\ .a ,/24... r _\ f/z{lL,e.a !/E!s.'g D L,1l r'1 -.! ? -,-,- Pl i't.. /r ./2,:, /! ..; Ez{ O { ,. ., , i /./.. /14:,,, /j o, z,.: 2 /r.:.-,t: tJ . tz i ..,..r Reiisiono Doc.No. V049-l-022 Pase16 of 16 PROCESSSYSTEMS INTERNATIONAL. INC. ENGINEERING NO:V049-l-023 WESTBOROUGH.MA CALCULATIONS PAGEI OF 19 REV. DEO# DATE BY: CHECK BeamSplitter Chamber - Designof 60 in. o 002t/ R/6/5'- /?4<_ Ew'y AccessCoven BY,-IZ,D. L/4 f,., DEPT.:.744 PROJECT:LIGO VacuumEquipment PROJECTNO: PURPOSE:.To designthe coverand nozdes for the60 in. port in accordancewith SectionVIII, Division I of theASME Code. METHOD:Equations for thicknessand reinforcement requirements of theASME Code,Section VIII, Division l, areevaluated using the COMPRESScomputer program, Version 5.31. ASSUMPTIONS: INPUTS: Vacuumpressure = 14.7psi Designtemperature = 400"F REFERENCES:1. ASME Boiler& PressureVessel Code, Section VIII, PressureVessels, Division l. .2. COMPRESS531, ComputerAided Pressure Vessel Design, Codeware Computer Systems, Inc. q, y'.tz,,u.t ti 3. Doc, Nt, r'o -/-Ol c t z/to O.t,., , lra uri-.t<'t. Dit,z;,*,t (4t':;,1 , * CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The requirements of theASME Code,Section VIIL Division 1, aremet for the coverand nozzlesfor the 60 in. port. NOTES: rILED \F\TE]VPLATEGNGFORMS\ENCCALC (aaaz.-VJ iUo t- et,L / p,4 -,..ttt /r) ,9,.-\ (It @(y|t 11 / a 1.-, ---'- ,t ! Co /,,) = t7 ?, 9o y' ec,rrs € o.'r r<- 1 (ro. 62ra l.tzr') III t/ //.tt 7' i, l/ r. 't f' _b . te, // -1' +..,> r -)7 L r n1 (.. ('= - - 'a )-z 41 - /t- d- !6 a.2 t ?. '1/ -_ a".2t - tt' t)'- ?. / O /{, )-J - 2./ o 1 /?''/3 .,'.:! 0,, A r'4,? r.r,a ./a ? /r,,.t /. Ae..././.r..'7,/ l) oer.t = ., /.:: *',4.a Reiisiono Doc.No. v049-l-023 Paee2 of 19 /n'r''' 6 O //) .a J-z- 7,{ ,/ = .?{ '^J = ,2)- '..J1 /4t 1 z t // ?t' ooo rrOO L , n-?, ,," y't- ,t.? /nt' , t /' o\ 'd! \ 1'.; : / --?/,." L'..n;; /;.- - r <-1L1r,' ,,4) " ,rI (F3) J \-J | , t--.' j kz---l-'-r- *->1 tl ''? /?+o,n /.t f ..J .2,!.F (.e c^ '7 /L1 .7 .1" )t a ,L (''.- -?v (7.,'/ / _- l,/2, / .a ' /1,, , f-^ /t !J f ,) +- >v Dz Revision0 tt /1 ( /t'-) Doc.No, V049-l-023 Pase3 of 19 COMPR-ESS5.5I C:\C5\BSC60A.VSL Dcc. 19,t995 BSC 60 in Port ASME Scction YIII Division I - 1992Edition- A93 Addcnda Componcnt: F&D head Material spccification : sA 240 304L HIGH Externaldesign pressure: Pe: 14.7 psi @ 400 degF Corrosionallowancc: Inncr C : 0 Outer- 0 in PWHTis not performed Radiography: CategoryA joints- SpotUW-I1(t) type1 Headto shcllseam - SpotUW-l l(b) typeI Estimatcdwcight: new:272.9 con = 272.9 Itr ^^-^^:&,. l4lrolrrJ. ncw= 88.89 corr: 88.89 US ga ID : 60.25 crownL: ffi.25 knuckler= 3.75 t = .25 in (min) Straightflange : I formingallowancc :0 in MAP: (Ncw & at 0 dcg F) Appcndix l-4(d) Eq 3 P : 2xS*E*t/(L*M1-0.2*t) - Ps - 2*16700*0.85*0.25l(60.25*l.7521 + 0.2*0.25)- 0 : 67.20225psi MAWP: (Corrodcd & at 0 dcg FI Appcndix l-4(d) Eq 3 P : 2*S*E*t (L'tsMI 0.2*t) - Ps - 2*167w*0.85*D.25t(ffi.25*).7521+ 0.2*0.25) - O : 67.20225psi Extcrnal Prcssure: (Corrodcd & at 4fi) dcg F) UG-33(c) A = .125/(Ro/t) : .r25t(ffi.5t0.1878'1) : 0.000388 From tableHA-3: B : 4757.7 Pa: B/(Ro/t) : 4'1s7 .7 | (@.5t0. 1 E787) = 14.774psi Checkthc extcrnalprcssure per UG-33(aXl) t : 1.67*Pa*lo*M/(2"S'tE+ 1.67*Pa*(M-0.2)) : lr * (l -0.2)) 1.67 | 4.774*ffi .5*1.7 521 | (2* I 4700*I I 1.6'1 | 4.77 4* .7521 Ftv : 0.088842in O c A) <' tlrt ', -/- 0?3 Dcsisn tiickncss for cxtcrnal prcssurcPa : 14-774 psi: Page + aE /9 COMPRESS5.5I C:\C5\BSC60A.VSL Dcc. 19, 1995 BSC60 in Port =tl Coffosionl fa =0.18787r0+0 : 0.18787in MaximumAllowablc Extcrnal Prcssurc: (Corrodcd @ 400 des F) A = .125l(Ro/t) : .125t(6O.5/0.25) = 0.000517 From tablc HA-3: B = 5004.1 Pa= B/(Ro/t) : 5004.1(60.s/0.25) = 20.6781psi Checkthc }{aximum Extcrnal Pressurc: UG-33(aXl) & App. 14(d) pc= 2*s*E*r/((M*Lo_t*(M{.2))*1.67) : 2"14700+I *0 .251((1.7521*60.5 - 0.25*(1 .7521-0.2))*l .67) = 41.67247psi Themaximum allowablc cxternal prcssurc is 20.6781psi. F;t D Dtc /J= tr/rt17r,- t-,:llJ Pa'gcr o'. 19 COMPRESS5.5I C:\C5\BSC6OA.VSL Dcc. 19, 1995 Ccntcr Nozzlc nl Opgningnl RcinforccmcntCalculations Pcr UG-37 Locatedon: BSC 60 in Port l,ocal vesselthickness: .25 in Liouid statichcad includcd: 0 psi Flaheedescrintion: 8 inch 75# SO A2'f0304L ANS] 816.47 flangerating MAP: I 15psi ANSI 816.47 flangerating MAWP: I 15psi Nozzlc matcrial specification: SA 240 304L HIGH Nozzle orientation: 0 degrees End of nozzleto datumline: 14.53in Nozzlecalculated as hillside: no Projcctionouside vcsscl Lpr: 2.996in tn -> corrosionaliow=0in <-d-> noz thick newtn= .25 in twt-> nozzleid. newd= 7.5 in l, \ fillet weldtwl = .25 in tw? <_ R _>l To headcenter R= 0 in RcinforccmcntCalculations For Nozzlc IL{AWP Limits of rcinforcement UG-40 Parallelto the vesselwall d : 7.5 in Normatto thc vesselwall outside2.5*(tn-Cn) { tc : .625 in Normalto the vesselwall insidc2.5*(tn-Cn-C) : .625in Nozzle rcquircd thickncss trn: P*Rn/(Sn'kE- 0.6*P) : 0*3.75l(16700*1- 0.6*0) :0in Rcquircd thicknesstr from UG-3?(aXl) a= P*L*M/(2*S*E- 0.2"P) : 0*ffi.25*l|(21.16700*1- 0.2*0) :0in Arca rcquired 7s.,r^ Allowablcstrcsses: Sn : 16700, Sv = 16700, psi ' Dot ,l)a, l/" +'l' / D/J- frl : lcsscrof I or SniSvso ftl = I - Pagc r" - ' COMPRESS5.5I C:\C5\BSC60A.vSL Dcc. 19, 1995 CcntcrNozzlc nl fr2 = tcsscrof I or Sn/Svso fr2 :1 A:4*6*p I 2xtn'*tr,tF*(1_frl) = 7.5i.0*l + 2*0.25*0*1'.(l- l) : 0 in^2 Arca availablc Al = largerof thc follo*'ing : 1.875in^Z : d*(81*t-F*tr) - 2*,tn*(El*r-F*tr)*( l-frl) = 7.5*(1*0.25- I *0) - 2*0.25*(l*0.25-l *0)*(t-l) -- 1.875in^Z = 2*(r-trn)*(El xr-F*tr) - 2*m*(El'i't-F*tr)*(lfrl) : 2*i0.25'10.25)*(l*0.25-l*0) - 2"0.25*(l *0.25-1*0)x(l-1) : .25 in^2 A2 : smallcrof thc following : 0.313in^2 = s*(tn- trn)*fr2*t : 5*(0.25_0)*1*6.tt : .313in^2 : 5*(tn- trn)*fr2*tn : 5*(0.25- 0)x1*g.rt : .313in^2 A4l : Lcs^2*fr2 : O.25'2*l= .063in^2 Area: Al + A2 + A4l : 1.8751 0.313r 0.063 - 1 a{r ;-^') As Area > A the reinforcementis adcquatcfor MAWP = 0 at 0 Deg F Chcck thc wclds - From UW-16(d): tmin : lesscrof 0.75 or tn or t, trnin : 0.25 in tl or t2(min) = lesscrof 0.25 or O.7*tmin,tl (min) : 0. 175in tl(actual): 0.?*kg : 0.7*0.25= 0.175in t2(actual): 0.1875in tl + O = 0.3625>: 1.25*tmin The weld sizcsfor tl and t2 are satisfactory. UG-45 Nozztc Ncck ThickncssChcck Wall thicknessper UG-45(a): tt! : g i" (E = t) ?,;r 0 thickncssper UG-45OX1): tr2 = 0 in Wall .., Wall thickncssbcr UG-16(b): tr3 = 0.W2I-u] P: : A) t, '/ ,' ,/ - Stdpipe watl pcr UG45(b)(4): tr4 : 0.28175in Page 7 COMPRESS5.5I C:\C5\BSC60A.VSL Dcc.19, 1995 Ccntcr Nozzlc nl Thc grcatcr of tr2 or tr3: tr5 : 0.0625 in The lesscrof tr4 or tr5: b6 : 0.0625in Req'dper UG-45is thc largerof trl or tr6 = 0.0625in Availablcnozzle wall thicknessncw. tn : 0.25 in The nozzlcneck thickncss. is adequatcfor MAWP. Allowablc stresscsin joints UG-45(c) and UW-15(c) Groovewcld in tension: 0.74*16700: 12358psi Nozzlewall in shear: 0.7*16700: 11690psi Inner fillct wcld in shear= 0.49*16700= 81E3psi Strcnsth of wclded ioints: (l) Inncr fillct weld in shear (Pii2)*NozzleO.D.*Lcg*Si = 1.57*8*0.25*8183: 25694.62lbf (3) Nozzlcwall in shcar (Pi/2)*Mcannozzle dia.*tn*Sn : 1.57*'l.'15*0.25*1 1690 : 35559.52lbf (4) Groovcwcld in tcnsion (Pi/2)*NozzleO.D.*tw*Sg = 1.57x8*0.1875*1235E: 29103.09 lbf Loadingon wclds pcr UG-4I(bXl) W = (A- (d - 2*tn)*(El*t - F*tr))*Sv = (0 - (7.5 - 2*0.25)*(l*0.25- 1*0))*16700 :-29225 lbf w1-l : (A2 + A5 + A41 + A42)*Sv : (0.313I 0 + 0.063i' 0)*16700 - 6279.21bf N2-2=(A2 | A3 J A41 +A43J 2*t|*t*fr1)*Sv : (0.313+ 0 + 0.063 + 0 + 2*0.25*0.25*1)*16700 : 8366.7lbf Loadfor path 1-l lesscrof W or W1-1 :-29225 lbf Path1-1 Thru (l) & (3) : 25694.62+ 35559.52: 61254.14lbf Pathl-1 is strongerthan W so it is acceptablcper UG-41OX2). Lnad for path 2-2 lesscrof W or W2-2 ---29225 lbf Path2-2Thru (l), (4\ : 25694.62+ 29103.09= 54797.71lbf Path2-2 is strongerthan W so it is acceptablepcr UG-a1@)(2). RcinforccmcntCalculations for Extcrnal Prcssurc /(€J L) Limits of rcinforccment UG-40 Doc. A)t l./t1 t/'t- /-r?? Parallclto thc vessclwall d : 7.5 in Pagc r .': tt' COMPR-ESSIOMPR-ESS5.51 C:\C5\BSC60A.VSL Dcc. 19,1995 Centcr Nozzlc nl Normalto thc vcssclwall outsidc2.5*(tn-Cn) | tc = .625 in Normalto the vessclwall inside2.5*(tn-Cn-C) : .625 in Nozzlc rcquircd thickncss UDo=2.99618=37a5 Do/t : 8/0.0184-- 434.7826 From tablcG: A :0.000415 From tablc HA-3: B - 4814.3 Pa: 4*B/(3*Do/t) : 4*4814.3/(3*8/0.0184) - 14.7639psi Nozzlercquired thickness trn = .0184in Rcquircd thickncsstr from UG-37(dl( I ) : . I 879 in Arca rcquircd Allowablestrcsses: Sn = 14700, Sv : 14700, psi frl : lcsscrof I or Sn/Svso frl :l fr2 : lcsscrof I or Sn/Svso fr2 : 1 A : o.s*(d*trxF+. 2*tn*tr{ = 2*(rI tn)*(EI*r-F*tr) - 2xtn*(81*t-F*u')*(l -frI) : 2*(0.25+ 0.25)*(l*0.25-l'F0. 1879) - 2*0.25*(l*0.25- I't0. 1879)*(l- l) :.Mzlrl'^Z A2 = smallcrof tltefollowing : 0.289in^2 = 5{'(tn- trn)*fr2*t : 5*(0.25- 0.0184)*1*0.25 = .289in^Z : 5't(tn- trn)*fr2*tn - 5*(0.25- 0.0184)*l*0.25 : .289in^2 ?,n o A4l : l*E^Z*fr2 : 0.25^2*1: .063in^2 t/,''/?-/- t23 Pzgc 9 t ', COMPRESS5.5I C:\C5\BSC60A.VSL Dcc. t9, 1995 CetrtcrNozzlc nl Area=Al tA2 I A4l : 0.466'l 0.289l- 0.063 : .818in^2 As Area > A the reinfotcementis adequatefor Pc : 14.7 at 400 Deg F UG-45 Nozzlc Ncck ThicknessChcck Wallthickncss per UG-45(a): trl : 0.0184in (E : l) Wallthickncss pcr UG-45(b)(2): b2 = 0.0528in Wallthickness per UG-16(b): tr3 : 0.0625in Stdpipe wall pcr Uca5(b)(a): tr4 : 0.28175in Thegrcatcr of tr2 or tr3: tr5 : 0.0625in Thelesscr of tr4 or tr5: tr6 = 0.0625in Req'dper UG-45 is thclarger of trl or tr6 = 0.0625in Availablcnozzlc wall thickncssncw, tn : 0.25in Thenozzlc neck thickness is adcquatcfor Pe. a- /(r tr U Dar./J, !/re'e-/-02? Pa,Ee/e c" '9 CoMPRESS5.51 C:\C5\BSC60A.VSL Dcc. t9, 1995 CcnterNozzlc nl Applicd Loads Radial load Pr = 649.4lbf Circumfcrcntial momcnt Ml :0lbf-ft Circumfcrcntial shear v2 : 0lbf Longitudinal momcnt M2 = 0lbf-ft Longitudinal shear Vl : Olbf Torsion momcnt Mt : 0lbf-ft Internal pressure P: 0psi Strcsscsat thc nozzlc OD pcr WRC bullctin 107 ( psi) Mcandish radius Rm = 60.375in U:roiSqr(Rm*t):1.03 Stressconccntration factor Kn (tension) = 1 Stressconccntration factor Kb (bending) = | Prcssurcstrcss intcnsity factor, Farr cquation11.7 I-11(r/x)^2 : 1 1 (3.7514.25)^2 : t.779 Local prcssurcsress : l*P*Rm/2*t : 0 psi Maximumcombincd strcss =-2802 psi Allowablccombincd strcss : 1--3*S: + - 501@psi Thc maximumcombined strcss is witlin allowablclimits. Maximumprimary mcmbranc strcss :-670 psi Allowableilrimary mcmbranestrcss = +-l:5*S : +- 25050psi The maximumprimary mcmbranc strcss is within allowablelimits. Fi, P 2a,. No. t/?'/i- /-d2? Pzger/ o'= /5 COMPRESS5.5I C:\C5\BSC60A,VSL Dcc. 19, 1995 Centcr Nozzlc nl From Value Fig. read Au AI Bu Bl Cu al DI sR-2*l 0.0645 -670 -670 -670 -670 -670 -670 -670 -670 sR-2| 0.0342 -2132 213? -2732 213? -2132 2132 -2t32 2132 sR-3*t0.0750 sR-3| 0.071r sR-3*l 0.0750 sR-3| 0.0711 pressurestress* Total 0x stress 1462 -2802 1462 -2802 1462 -?802 t46Z Prinary nembrane 0x stress* -670 -670 -670 -670 -670 -670 -670 -670 sR-2* 0.0?00 - 208 -20s - 208 -208 -208 - 208 -2A8 -208 sR-2 0.0103 -64? 64? -642 64? -642 642 -642 642 sR-3* 0.0226 SR-3 0.0214 sR-3* 6 i1tr2c SR.3 0.0214 pres sure stress* Total 0y stress -850 434 -8s0 434 -850 434 434 Primarymembrane 0y stress* -208 -20S -20S -208 -208 - 208 - 208 tors i on moitlentl'lt Shearfron Vl Shearfrom V2 Total Shearstress Combinedstress (../ Da, Pa /'+e- r -L)73 Pagcrz a'= /9 COMPRESS5.5I C:\C5\BSC60A.VSL Dcc. 19,1995 Nozzlc n5 Opcning n5 RcinforccmcntCalculations Pcr UG-37 Locatedon: BSC60 in Port l,ocal vessclthickness : .25in Liquid statichcad includcd: 0 psi Flangedescription: I inch 75# WN A240304L ANSI 816.47flangc rating MAP: l15 psi ANSI 816.47 flangcrating MAWP: 115psi Nozzlc matcrial specification: SA 240 304L HIGH Nozzleoricntation: 330 degrees End of nozzlcto datumline: 13.76in Nozzlccalculatcd as hillside: no Projectionoutside vcssel Lpr: 4.173n tn -> | corrosionallolr=0in <-0-> noz thick newtn= .25 in twt-> nozzleid, newd= 7.5 in l, fillet weldtwl = .25 in grooveweld twz = .1875in tw? <- R _>l To headcenter R= 15.75in RcinforccmcntCatculations For Nozzle MAWP Limits of reinforccmcnt UG-40 Parallclto thc vcssclwall d : 7.5 in Normalto thc vcsselwall outside2.5*(tn-Cn) J te = .625 in Normalto thc vesselwall insidc2.5*(tn-Cn-C) : .625 in Nozzle rcquircd thickness trn = P*Rn/(Sn*E- 0.6*P) : 0*3.75/(167ffi*l- 0.6*0) =0in Rcquired thickncsstr from UG-37(a)(l) tr: P,fL*M/(2*S*E - 0.2r.P) = 0*60.25*1/(2'r'16700*1- 0.2*0) :0in Arca rcquircd 2.;, D Allowablcstresscs: Sn : 16700, Sv : 16700, psi D. Ao y'r'lc-r-ttz? frl : lcsscrof I or Sn/Svso frl : I Pagetz oE /, COMPRESS5.5I C:\C5\BSC60A.VSL Dcc. 19,t995 Nozzlcn5 fr2 : lcsscrof I or Sn/Svso fr2 = I A - d*h*F I 2*rn*tr*F*(l-frl) :7.5*0*1 I 2:i0.25*0*l*(l_ l) : 0 in^2 Areaevailablc Al : largcrof thefollowing = 1.875in"2 = dx(El*t-F*tr) - 2*tn*(El*t_F*tr)*(l-fr1) = 7.5*(1*0.25- 1*0) - 2'10.25*(1,80.25-I *0)*(1 -l) : 1.875in^2 : 2*(tl tn)*(El'it-F*f)- 2*tn*(El*t-F*tr)*(l -frI) = 2*(0.2510.25)*(l*0.25-l*0) - 2*0.25*(l*0.25-1*0)*(l-l) : .25 in^2 A2 = smallcrof thefollowing :0.313 in^2 : 5*(tn- trn)*fr2*t = 5*(0.25- 0;*1*6.tt : .313in^2 : 5*(tn- tm)*fr2*tn - 5*10.25- 0)x1*6.tt : .313in^2 A41: Lcg^2*fr2 -- 0.25^2*7= .063in^2 Area: Al r' A2 + A47 : 1.8751 0.313+ 0.063 - .) 1 As Area > A thereinforcement is adequatcfor MAWP : 0 at 0 DegF Chcckthc wclds- FromUW-16(d): tmin : lcsserof 0.75or tn or t, tmin = 0.25in tl or t2(min): lesserof 0.25or 0.?*tmin,tl(min) : 0.175in tl(actual):0.7*I*g: 0.7*0.25: 0.175in t2(actual): 0.1875in tl + t2 : 0.3625>: 1.25*tmin Theweld sizcsfor tl andt2 aresatisfactory. UG-45Nozzlc Ncck Thickness Chcck 0 Wall thickncsspcr UG-45(a): trl:Oin(E:l) ?rt Wall thickncsspcr UGa5@)(l): tr2 = Oin Wall thickncssper UC-16(b): tr3 = 0.0625in Dot. 4)c l/,'.,i-/-a23 Stdpipc wall pcr UG-45(bXa): t4 : O.28175n PzEe/ Y d'' ', COMPRESS5.5I C:\C5\BSC60A.VSL Dcc. 19,1995 Nozzlcn5 Thc grcatcrof tr2 or tr3: tr5 : 0.0625in Thclcsscr of tr4 or tr5: tr6 : 0.0625in Rcq'd pcr UG-45is the largerof trl or tr6 = 0.0625in Availablcnozzle wall thickncssncw, tn = 0.25 in Thc nozzlencck thickness is adequatcfor MAWP. Allowablc strcssesin joints UG-45(c) and UW-15(c) Grooveweld in tension: 0.?4*16700: 12358psi Nozzlcwall in shcar= 0.7*16700: I1690psi Inncrfillct wcldin shear= 0.49*16700= 8183psi Strengtt of wcldcd joints: (l) Inncr fillct wcld in shcar (Pi/2)*NozzlcO.D.*I-eg*Si : 1.57*8r<0.25*8183= 2569a.62 lbf (3) Nozzlcwall in shcar (Pi/2)*Mcannozzle dia.*tn*Sn : 1.57*7.75*0.25*11690: 35559.52 lbf (4) Groovcwcld in tension (PilZ)*NozzleO.D.*tw*Sg : 1.57*8*0.1875*12358= 29103.09 lbf l,oading on wclds pcr UG-4l(bXl) w : (A - (d - 2*rn)*(E1xt- F*rr))*Sv = (0 - (7.5- 2*0.25)*(l*0.25- l*0))*16700 :-29225 lbf wl-l : (A2 r A5 ,r A41 I A42)*Sv : (0.313+ 0 + 0.063-F 0)*16700 = 6279.2lbf W2-2: (A2 "FA3 I A4l + A43 + 2*tn*t*frl)*Sv : (0.313+ 0 -t 0.063 1 0 + 2*0.25*0.25*1)*16700 : 8366.?lbf l,oad for path l-l lcsscrof W or Wl-l =-29225lbf Path l-1 Thru (1) & (3) : 25694.62+ 35559.52: 61254.14 lbf Path l-l is strongerthan W so it is acceptablepcr UG41O)(2). [.oad for path 2-2lcsser of W or W2-2 =-29225 lbf Path2-2Tlru (l), (4) -- 25694.62-F29103.09 = 54797.71lbf Path 2-2 is sbongerthan W so it is acceptablepcr UG-41(bX2). RcinforccmentCalculations for External Prcssure p;, Limits of rcinforccmcnt UG-40 O /o'/?- t'1122 Parallclto thc vcssclwall d : 7.5 in Do, Po PzEe/{ ''= /S COMPRESS5.5I C:\C5\BSC60A.VSL Dcc.19, 1995 Nozzlc n5 Normalto thc vessclwall outsidc2.5*(tn-Cn) | tc : .625 in Normalto thc vesscl*all insidc2.5*(tn-Cn-C) : .625in Nozzlc rcquircd thickncss L/Do: 4.17318: .5216 Do/t= 8/0.02022:395.@79 From tablcG: A = 0.000332 From tablcHA-3: B : 4394.8 Pa:4*B/(3*Do/t) : 4* 4394.8 I (3*8 I 0.02022) : 14.8105psi Nozzlc rcquircd thickncsstrn - .02022in Rcquircd thickncsstr from UG-37(dXl) : .1879 in Arca rcsuircd Allowablcshcsscs: Sn : 14700, Sv : 14700, psi frl = lcsscrof I or Sn/Svso frl = I fr2 = lcsscrof 1 or Sn/Svso fr2 : I A = o.5*(d*tr*F+ 2*tntr*F*(l - frl) : 0.5*(7.5*0.1879*l+ 2*0.25*0.1879*1*(l- l)) :.'1M6in^2 Arca availablc Al = largcrof the following =.466in^2 *tr) : d*(E I *t-F - 2+tn*(EI *t-F,r.tr)*(I -fr 1) : 7.5*(1*0.25-l *0. I 879)- 2*0.25"(1*0.25-l*0. 1879)*(l-l ) : .466 in^2 : 2*(t I tn)*(El*t-F'Ftr)- 2*m*(El'tt-F*tr)*(l-frl) : 2*(0.251'0.25)*(l *0.25-l *0. 1879) - 2*0.25i'(1'k0.25-I *0. 1879)*(1- l) =.M2in^2 A2 : smallerof thc following = 0.287in^2 : 5*(tn - trn)*fr2*t = 5*(0.25- 0.02022)*l*0.25 - .287in"2 = 5"(tn - trn)*fr2*tn : 5*(0.25- 0.02022)*1*0.25 : .287in^Z ?;r a A4l -- l*g^2*fr2 :0.25^2*l : .063in^2 Da t /l),t y'n/F-)-02? Pzgc /t- o.= tg COMPRESS5.5I C:\C5\BSC60A.VSL Dcc. 19, 1995 Nozzlcn5 Arca: Al I A2 + A4l : 0.,1661 0.287 1-0.063 = .816in^2 As Area ) A the reinforccmcntis adequatefor Pe : 14.7 at 400 Deg F UG-45 Nozzlc Ncck ThickncssChcck Wall thickncssper UG45(a): tl : 0.02022in (E : l) Wall thicknessper UG-45(b)(2): tr?: 0.0528in Wall thickncssper UG-16(b): tr3 = 0.0625in Stdpipe *all pcr UG-aSOXa): tr4 : 0.28175in The grcaterof tr2 or tr3: tr5 = 0.0625in Thc lesscrof tr4 or tr5: tr6 = 0.0625in Roq'dper UC-45is tfie largerof trl or tr6 = 0.0625in Availablcnozzlc wall thicknessncw, tn : 0.25 in Thc nozzlcncck thickncss is adcquatcfor Pc. R,,,,O -t^?3 Doc N,. f 'l'tc" t Pagcrz oE /9 C0MPRESS5.51 C:\C5\BSC6OA.VSL Dcr. 19,1995 Nozzlc n5 Applicd l,oads Radialload Pr : 649.4lbf Circumfcrcntial moment Ml :0lbf-ft Circumfercntialshear V2 : 0lbf lrngitudinal moment M2 = 0lbf-ft Longitudinal shear vl : 0lbf Torsionmomcnt Mt = 0lbf-ft Intcrnal prcssurc P: Opsi Strcsscsat thc nozztc OD pcr WRC bullctin 107 ( psi) Meandish radius Rm = 60.3?5in U : roiSgr(Rm"t)- 1.03 Strcssconccntration factor Kn (tcnsion) = 1 Stressconccntration factor Kb (bending) = | Prcssurestrcss intensity factor, Farr equationI L7 I: I + (r/x)^2 : | | (3.7514.25)^2 _ 1'7.74\ Localprcssurc stress : I*P*Rm/2*t : 0 psi Maximumcombincd strcss =-2802 psi Allowablecombincd strcss : +-3*S = 1 - 50100psi Thc maximumcombincd strcss is within allowablelimits. Maximumprimary mcmbranc strcss :-670 psi Altowableirrimary membranc stress = +-l:5*S = +- 25050psi Thc maximumprimary mcmbranc stress is within allowablclimits. ?-, n -6 P,, ,0 t 1/at7'$-1 2? Pagc /( a'- t9, COMPRESS5.51 C:\C5\BSC60A.VSL Dcc. 19, 1995 Nozzlcn5 From Value Fi9. reao Au A1 Bu BI Cu cl DI sR-z*l0.0645 -670 -670 -670 -670 -670 -670 -670 -670 sR-2I 0.0342 -?132 2r32 -2t3? 2132 -213? ?t3? -?t3z 2132 sR-3*t 0.0750 sR-3| 0.0711 sR-3*l 0.0750 sR-3| 0.0711 pressurestres s* Total 0x stress -2802 t462 -280? 1462 -2802 1462 -280? 1462 Primarynenbrane 0x stress* -670 -670 -67A -670 -670 -674 -670 -670 sR-2*l 0.0200 - 208 -208 -208 -208 -208 -208 - 208 sR-2| 0.0103 a 4., 642 -642 642 -642 64? 642 sR-3*l 0.0226 sR-3| 0.0214 sR-3*l 0.0226 sR-3| 0.0214 pressurestress* Total 0y stress -850 434 -850 434 -850 434 -850 434 Primarymembrane 0y stress* -208 -208 - 208 -208 -208 -208 -208 -208 torsion momentMt Shearfrom Vl Shearfrom V2 Total Shearstress Combinedstres s ?r, y'ovt' /- O?3 Pagcre ?.: /i SYSTEMSINTERNA WESTBOROUGH,MA PAGEI OF 35 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PURPOSE:.To designBSC support structure to meetrequirements of AISC Codefor unbalancedvacuum loads. METHOD: A stiffnessanalysis of the frameis performedusing the IMAGESprogram. INPUTS: 1. LIGO projectdesign sketches & drawings. 2. Vacuumpressure = l4.7psi. 3. Seismicacceleration = .05625s. 4. Forcesfrom V049-1-032 REFERENCES:1. AISC Code,Ninth Edition,Allowable Stress Design. 2. ASCE7-88, Minimum Design Loads r, y'o(7-t-o (€, L/ao l/ts. ri €r "n !rz/ Jt-' Dit CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:Support legs and other frame members meet the AISC Code. NOTES: Computerfile is BSCSUPP.lk RevisionNo. 0 Doc.No. VO49-l{24 Prse I of35 FILED:\XITEMPIATE\ENCFORMS€NC,CAC c\ I \ g I -+--I i\./ I RevisionNo. 0 Doc.No. V049-1424 Paee2 of 35 8nt': /)t,',E 7lr'/ y'o)'';-rt,' ; .'r -']'". ' ar J?, a { ./,/ /i /.7 E;A 'e.-. */ )' 4 3c,7 /'n -z 't ,l "' / ) 7rr 12"r'4"'t) 4cJ RerisionNo. 0 Doc.No. V049-l-024 Paee3 of 35 u,@ CD Ll-t srlnA,; NN .'tl'l \l .'l \l J { \ o l. h \ \ 1 \ h : A Itt \" M " '' ' h i *+r .t:: \J ,.1' \ U1 * \ c. i\/\ . gJE It \r L\ €'E €ti G .+r o,i= * tJ1 g olE X 1 E V F m6'L 5 u,m+r| lrt o -ooHdE E=IJ RevisionNo. 0 Doc.No. V049-l{24 Prse4 of 35 PROCESSENGINEERING INC. S/N:802505A 03/2r/96 PAGE LL Run ID= 16:54 : 57 = copyrighE (c) 1984-1993. RLCA/CelesE.ial Software = SOLVE BEAIV1LOADS/STRESSES Version 3.0 !2/3!/e3 Fi Lename-BSCSUPP Title =Beam Spf itt.er chamber supporE SEructure Load Case 1:MAXIMUM TINBALANCEDLOADS CoMBINEDWITH DEAD WT + EQ(.055G) BEAlvl L.,OADS AND /OR STRESSES Gloads Node Fx Fy Fz Mx My Mz Ll.,oads Node Axi- a I Y- Shear Z - Shear Torsion Y-Bending Z-Bending Stress Node Axi af Y- Shear z - Shear Tors ion Y-Bending Z-Bending Cornerl corner2 Corner3 Corne14 Maximum Minimum * * * BEAIV: NO. 1*** cL,oads 16 - .1840E+05 - .3504E+04- .1547E+05 .13938+05 .4803E-11 -.1655E+06 2 .1840E+05 .3504E+04 .15478+05 - .27858+05 -.4803E-11 .3313E+05 LLoads 16 -.3504E+04 .239 5E+0 5 .2O72E,+Q4 .48038- 11 .1865E+05- .2155E+05 2 .3504E+04-.2395E+05- ,zv IzL+v+ -..*ouJE-J.r - .3730E+05 .4312E+06 Stress L6 .2014E+03 . 32 01E+04 . z Ib>L+vJ -. / uotlf - -15 .4875E+03 .5636E+04 - .49478+04 .5325E+04 .5J5U-E;+U4 -.5t23I+U+ .6325E+04 - .5923E+04 Stress 2 .20148+03 . 5 ZV LI1+U+ .z t6Jt+u5 -. / ub+E- r.J .J l aZE +VJ .LLZlEt+VJ -.1010E+05 .12458+05 . -LU)U11+Ut -.tZUfE+Vf -rz45E+A> -.rluaE+u5 * * * BElUvl NO. 2*** GLoads 2 -.1015E+05-.21988+03 -.5706E+04 .4805E+05 .0000E+00 .41-80E+05 GLoads 3 . L0158+05 .21-98E+03 .57068+04 - .2224E'+Q5 .0000E+00 .2224E+O5 LL.,oads 2 - .21988+03 .1193E+05 .2444E+04 .0000E+00 -.5353E+05 -.4415E+04 LL.,oads 3 .2198E+03 - .l-l-93E+05- .24448+04 .0000E+00 .0000E+00 .3145E+05 Stress 2 .L263E+02 .1594E+04 .32558+03 .0000E+00 - .1651E+04 .11548+03 - .L764E+O4- .15338+04 .17898+04 .1558E+04 .1789E+04 -.1?54E+04 Stress 3 .12538+02 .1594E+04 .3265E+03 .0000E+00 .0000E+00 .8223E+04 - .82118+04 .82358+04 .82358+04 -.82L1E+04 .8236E+04 -.821-1E+04 r r *BE.i\M NO. 3*** GLoads l-7 - .57518+04 l:SOSe+OS .25148+04 -.23178+05 .97?08-13 - .5175E+05 GLoads 5 .57518E+04- .35048+05 - .2574E+O4 .45338+05 - .9?70E-13 .1,0358+06 LI-,oads 17 .35048+05 -.5885E+04 .22458+04 .97?08-l-3 .2022F,+05 .5298E+05 L,Loads 5 -.3504E+05 .58858+04 -.22468+04 -.97708-13 -.40438+05 -.1050E+06 Stres s l-7 -.20148E+04-.78668+03 .3002E+03-.143?E-14,52858+03 -.1385E+04 -.10018E+03-.28?08+04 -.392'78+04 -.1L578+04 -.1001E+03 -.392?E+04 Stress 5 -.20L48+04 -.78568+03 .30028+03 -.14378-14 '1057E+04 -.2770E+a4 .l-8138+04-.3'12'78+04 -.5841E+04 -.3005E+03 .181-38+04-.58418+04 ***BEAI4 NO. 4*** GLoads 5 -.1399E+05 .2025E+05-.9445E+04 -.30358+05 .00008+00 .30598+06 CLoads 5 .l-399E+05-.20258+05 .94458+04 .5790E+05 .00008+00 .57908+05 LLoads 5 .2025E+05 -.32158+04 .15578+05 .00008+00 -.43098+06 -.1715E+04 6 - .20258+05 .321-58+04- .15578+05 :00008+00 . 0000E+00 - .81888+05 Stress 5 -.1154E+04 -.42978+03 .2215E+04 .00008+00 -.11278+05 .44848+02 - .I?47E+05 - .1238E+05 .1015E+05 .l-0058+05 .1015E+05 - .12478+05 Stress 6 - . L1548+04 - .42978+03 .22158+04 .00008+00 .0000E+00 -.2141E+04 .9770E+03 - .3304E+04 -.33048+04 .917aF +o3 .97708+03 - ' 33048+04 RevisionNo. 0 Doc,No. V049-l{24 Pasel9 of 33 I I I I I I / prt,>s /.:trtla4r{) t',ftt.. :- 1,./. /y'.7aa .G ! gr< t-r, c-- ,:;t-< z i = /-2 o A /"" f - Z. - .t';-(,2 j t?,r- ze.,tz4 V/-,?-/_?t/ -.- -- 7'- /-,i ., .oit ftv',>"-r-) = 7!t z s . L"rt.J,t ,.1.... : ) !/',2 {..} i /l 2 a:.44 j y'a/t- - F,t .^-,n 1,rr - | o3>- .t?s< 7 -, .. 1/:A ( t..,a t-i 4 .. /.rJ 7../.7 J ,.,,1t tn..- x L./v.Jia :r /t,'-2(EJ 1a- F- -- t/)'q4O ta FZ = ?g,/?/O ..J (,-.n','2 !'./,s.- zc -t/ F* /./,./44.,.,, .:;.) z..l.c ,/)-/(. ( - L// .3 lJ. o,: t-i ., .Fy = <: + 7) ? /r t ', -a -i '- -t.t/ -: -,n tl) /t' 1=, - 24,2. , a /).:a-; Z/ : Fz, 29./.1/.> ra RevisionNo. 0 Doc.No. V049-1424 Paee5 of35 i) f ;r,t.t1.u.z / F a.a r st . . I .1 ,/7.;: .i ttt'tL L :41 -'..:.: //.i ra t f o.-,.1 r -- /7- 4 r a ;-v i; .2 /" tz E.2i ,orA, ''J /t.i .t- ) tt' t.t) I't t r'4 /-'Z ,^,.\'+ { a /: t 1:1 ,., n.u /J q? / 'L) .? -t-t .z ; uz8 'Z t./4"?.- 000 ,4 1/r , {a /}..-r4J .4.2 lj t LtJ r) i a/1,. ;.4 /! /o{ ) 7r- (l (< i3o. lE 1..,r- __[:__' ., ,...4 t,^_ / , 9Z ,-: , 2t,r:., /a S-, j ?J- - ,zt:i.37t' O-!- F d,13 r/ 'a/f F,/< ; .^ -L L- / 2J D; : ,,,1 '."-3-!.1 /J4,(tt-. 1.2 c,,r ?r"-.'/.t.3.? ',, J 'a."i. E 7 '';.1 /7: /J f I ? /, 7.r 7-L1 !! oF ,t 6 r v,< ,,/. - Fto //f4r' U!'2 rS "\,/t-t/d./ ?t t,l4z zr ,: F'?."/ Fl F<1/'1 1 To;at I )- + = Zi .73 ,.t l, t/ t,-2 3 , il RevisionNo. 0 Doc.No. V049-1.024 i Pase6 of 35 /4 t. lr .3) d..I J ( 7! u/.* 7o 7e /z 7-s gx /^ ,/z ooo /1' D u ,tl .-1 y /'-E-\ 16E \ P r^t t IVE / z/P.! L:' 1,, 219 6, ,. 2 "..) -"|.,j jlv'? .r,r,.| f l.-/ ,/ti t ! tt.t,j. l- rr,4 2r f X t , -fr,.f i r-. J(,,t/;.7a' /,t 1- )'p( ! 7,,.: f.,-(!a /s F18,,,,,7r.i F.-.L. 1't..tJ ( (... 7l .',t-:;),,.,t 4 4 7- t. '..1.-a.\ -! ? ,, l- .4.r r,t t...i..,-/ 7//,: (,H EDI t /t L!,.tr.* 4 n."1 .- ,'r !.u-r. nn t, 4,. /: -:.t4! j/-: ,. ./ - / zt.^) r f t v /2'!.'.:., s,a T(14r tl uft ) - -f Ltlt4,< A v,t E-i*c..-.t, o "/ ,/ r../ / /J I ) /'4 z /J R,t 14 z.w 4 d -(t.rtf,! 77 fr? i at<,1611 r /a 'i*r 4,? .t ot.t. F f.t / | J ./ a,,, 7 (> ! 4'-<1 c .t1 ,\ t,r4La r'n 7 ,4 't '-: Mz / o?'7t '4 /r-'-; .. .x . t';(- L RwisionNo. 0 Doc.No. V049-1424 t46 r'^nt Pace7 of35 = Copyright (c) 1984-1993. RLCA/Celestial Software = Interactive Microcomputer Analysis & Graphics of Engineering Systems IMAGES_ 3 D Version 3.0 12/3L/ 93 ! ]-fename=B!;CsjUPY RtlN ID=XXLLL11 ---il;ia;------= =------ = Rl,CA/Celestial Software assumes no responsi = bility for the va1j.di.ty, accuracy, or = applicability of the results obtained from = IIvIAGES-3D. - Any questions or comments concerning lhe uee = of IMAGES-3D or the users manua] shouLd = be addressed to: t(!LA/ (-e J-eSE1a -L UOrErrrare zr5u SnatEucK Ave. Suite 1200 Rorlra l arr (rA = 94704 - sro -843-097i RwisionNo. 0 Doc.No. 1r'049-l{24 Pape8 of35 PROCESSENGINEERING INC. S/N:802505A 03/2r/96 PAGE L RUN ID=XX11111 lo'.>4,tJI = copyright (c) 1984-1993. RL,CAlCelestial Software = CHECK GEOMETRY version 3.0 12/3L/93 ! l- -Lename =EUUSUYY Title =BeamSplitter Chambersupport Structure Acceleration of Gravit.y = 3 .864E+02 Force Multiplier LengthMultiplier Temp. Multiplier 1. 0000E+00 1.0000E+00 1.0000E+00 (For database properties only) MATERIAL PROPERTIES Mat No. N 1 STEE], 2 STEEL 3 STEEL Mat EX Ey Ez nxy nyz ttzx Densi ty No Gxy Gyz axy ayz azx 2.9008+072.900E+0?2.900E+073 .000E-013 . 000E-01 3.000E-01Z. OJUE-UI. L.1208+071.120E+07r.l-zuf.+u / b. )uuE-uo 5 . 500E-05 6.500E-05 2.900E+072.900E+072 .900E+073 .000E-013.000E-0r-? nnntr-n1 2.830E-01 1.120E+0?1.120E+071.120E+076.500E-05 5.5008-05 2 .900E'+072 .900E+072.900E+O73.000E-01 3.000E-013.0008-012.830E-01 1.120E+071.1208+071 .1208+075.500E- 05 5.500E-06 BEAM CROSS SECTION PROPERTIES Prop No. N 1 W8X58 2 TB4X4X4 4 TB8X4X8 5 TB8X8X10 Pr. X-Section Moment Inertia Torsional Shear shape Fact. No. Area Iy Tz ConsE.- iI Tyz sFy / sFz 1 1.710E+01 7.51-0E+012.280E+o2 3.3408+00 0.0008+00 3,838+00 1.288+00 2 3 .590E+00 8.220E+00 8.220E+00 1 .3508+01 0.000E+00 1.798+00 1.798+00 3 1.000E+02 1.000E+03 1.0008+03 2 . 000E+0 3 0.0008+00 0.008+00 0 . 00E+00 4 1.040E+01 2.460E+01 7.510E+01 5.4108+01 0.000E+00 1 .30E+00 2 .50E+00 5 1.7408+01 1.530E+02 1.5308+02 2.580E+02 0.0008+00 1.748+00 1.748+00 RevisionNo. 0 Doc.No. V049-l{24 Paee9 of 35 PROCESS ENGINEERING INC. S/N:802505A 03/2t/96 PAGE 2 RUN ID=XX1L111 15:52:37 = copyright (c) 1984-1993. RlcA/celestial Software = CHECK GEOMETRY Version 3.0 !2/3t/93 .Fa -Lename = Eb US UyY Tits1e =Beam Splitter Chamber Support Structure Pr. Bending Stress Recovery Distances Shear Stress FacE ' T?-- "-!-----/-- 1i /---17--- / ---"-::-- -::::: --:::I /- ::i:- 1 4.11E+00 4. L1E+oo 4.38E+OO 4.38E+00 8.108-01- 4 .36E+00 1.92E+00 2 2.00E+00 2 . ooE+00 2. ooE+00 2. ooE+o0 1.92E+00 2.31E+00 2.31E+00 3 1.008+00 1. o0E+00 1.008+00 1.00E+oo 1.008+00 1.008+00 1.00E+00 4 2.00E+00 2.00E+OO 4.00E+00 4.008+00 2.448+00 1.898+00 3'43E+00 5 4.00E+00 4.00E+00 4.0oE+oo 4.00E+00 3.798+00 2.338+00 2.338+00 NODE COORDINATES Node X-coord. Y-coord. Z - Coord . 1 0.00000E+00 0.00000E+00 0.000008+00 2 0.00000E+00 1.80000E+01 0.00000E+00 3 0.000008+00 4 .40000E+01. 0.00000E+00 4 I .40000E+01 0.00000E+00 0.00000E+00 5 8.40000E+01 1.80000E+01 0.00000E+00 6 8.40000E+01 4.400008+01 0.00000E+00 7 8.40000E+01 0.00000E+00 -8.400008+01- I 8.400008+01 l-.80000E+01 -8.400008+01 9 8 .400008+01 4.40000E+01 -8.400008+01 10 0.000008+00 0.00000E+00 - 8 .40000E+01 1l- 0.00000E+00 1.80000E+01 -8 .40000E+01" L2 0.00000E+00 4.40000E+01 -8 .40000E+01 13 -4.200008+01 0.00000E+00 -4.20000E+01 14 1.26000E+02 0.000008+00 -4 .20000E+01 15 4.20000E+01 7.00000E+01 -4.200008+01- 15 0.000008+00 9.000008+00 0.00000E+00 l'7 8.40000E+0L 9.00000E+00 0.000008+00 18 8 .400008+01 9.00000E+00 -8.40000E+01 19 0.00000E+00 9.00000E+00 -8 .40000E+01 20 0.00000E+00 0.00000E+00 0.00000E+00 ZI I. bIZf,UE+UI 7.000008+01 -4 .200008+01 *** *** wAitNING- r** Nodes l- & 20 are <=O.O0o1 apart in all 3 dirs ' BEAM CONNECTIVITY Beam Nodes Prop Mat Pincodes Rigid End Offsets LengEh Beam rI r\tro From/ To / Re f No No rliI LlU Type RevisionNo. 0 Doc.No. V0.19-1424 Pasel0 of 35 PROCESSENGINEERING INC, S/N:802s06A 03/2]./95 PAGE 3 RUN ID-XX11I-11 loi>zi5t = Copyright (c) 1984-l-993. RLCA/Celestial Software = CHECK GEOMETRY Version 3.0 LZ/J!/t5 ! .a1ename=.B:;Usj UPP Title =Beam Splitter Chamber SuDDort Structure Beam Nodes Prop MaE Pincodes Rigid End Offset Lengt.h Beam N-| Fr^.)m/ T.' / RFf No Y __-:__1___l____: /_ _'______l3:- - -- : :: - L rb z L5 5 1 0.008+00 0.00E+009.0000E+00 Beam 2 2 3 13 5 L 45 0.00E+00 0.00E+002.5000E+01 Beam 5 lt f, t+ ) 1 0.008+00 0.00E+009.0000E+00 Beam 456L45 I 45 0.00E+00 0 . 00E+002 .6000E+01 Beam 5 18 I 14 5 1 0.008+00 0 . 00E+009 .00008+00 Beam 5 8 9 14 5 t 45 0.00E+000.008+00 2,50008+0L Beam 7 79 11 13 5 1 0.008+00 0.008+009.0000E+00 Beam 8 1,1 L2 13 5 L 45 0.00E+000.00E+00 2.6000E+01 Beam 925142 0.00E+000.00E+00 8.4000E+01 Beam 10 5 8 4 4 2 O.00E+000.00E+00 8.4000E+01 Beam 11 I 11 7 4 2 0.00E+000.00E+00 8.4000E+01 Beam 12 1l- 2to 4 2 O.00E+00 0.008+00 8.4000E+01 Beam 13 3 15 0 3 3 0.00E+000.008+00 6 .4838E+01Beam L4 5 15 0 3 3 0.00E+000.00E+00 5.4838E+01-Beam 15 9 L5 0 3 3 0.00E+000.008+00 5 .4838E+01Beam 15 72 15 0 3 3 0.00E+000.00E+00 6 .4838E+01-Beam LI I -LO -L5 f 1 0.00E+000.008+00 9.0000E+00 Beam 184t7].45 l" 0.00E+000.00E+00 9.0000E+00Beam 197]-8145 1 0.008+00 0.00E+009.0000E+00 Beam 20 r_0 r_9 r.3 5 1 0.00E+000.00E+00 9.0000E+00 Bearn 21_ 15 21 0 3 3 0.008+00 0.008+005.8?508+00 Beam RESTFAIMTS Node Restsraint ^'1 ^l^^1 /r ^^^ l No \rr \rua 1/ !rr\-ar Direct ions 1 GLOBAL xvz - xvz- 7 GLOBAL xYz - 10 GL.,OBAL, XYZ- NODAL CONNECTIVITY **+ WAIU{ING - Node t3 not connected to any element *** RevisionNo. 0 Doc.No. Vo49-l{2'l Paeell of35 PROCESS ENGINEERING INC. S/N:802505A 03/21"/e6 PAGE 4 RUN ID=XX111L1 LO i )Z i 5 I IMAGES-3D======-== = Copyright (c) 1984-1993. RlcA/CelestiaL Software = CHECKGEOMETRY Version 3.0 12/31/93 Fi Lename=BscsUPP Title =Beam SpLiEter Chamber Support Structure *** WAITNING- Node 1-4 not connected to any element *** r** WARNING- Node 20 noL connecled t.o any element *** E<"/t4 2aaa (uo- aza'.c) R€visionNo. 0 Doc.No. V049-l{?4 Pasel2 0f 35 PROCESSENGINEERING INC. S/N:8025054 03/2r/95 PAGE 5 Run ID= 16:52 : 37 TMAGES-3D======copyright (c) 1984-1993. RlCA/celestial sofEware = RENUMBERNODES Version 3.0 )-2/3r / 93 Fi Iename =BSCSUPP Title =Beam SpliEter Chamber Support Structure NODE RENI]MBERINGCROSS REFERENCE LIST Was Is was Is Was Is was Is Was Is L to .J -Lf f, r+ if -LI 7I 87 J) 10 3 11 t? 12 r_0 13 19 L4 20 15 t2 IO L I !t L6 Z Lt It 20 21 zL o RcrisionNo. 0 Doc.No. V049-l{24 Pasel3 of 35 PROCESSENGINEERING INC. S/N:802s06A 03/2a / 96 PAGE 5 Run ID= 15:54 :55 IMAGEc_1t-\ = Copyright (c) L984-1993. Rl,cA/Celestia] Software = ASSEMBI.,ESTTFFNESS MATRIX Version 3 . O 1,2/3!/93 .Fl-J-ename=}J!jU|jU YY Title =Beam Splitter Chamber Support Structure STIFFNESS ASSEMBLY SUVIMARY Number of Node Points 2)- Number of Truss and Beam Elements. . . , , 2), Number of Plate ELements. 0 Number of Sprj-ng Elements 0 Number of Solid Elements 0 Number of Axisymmetric Elements...... 0 Nurnber of Nodes with Rest.raints...... 4 Number of Equations to be Solved...,.. 95 Number of Blocks in the Matrix. 1 BLOCK INFORMATION I5!\-I\ D I ZE BLCK SIZE BLCK SIZE BLCK SIZE \la) f Ei't.al NO (Byte) NO (Byte ) No (ByEe ) 14208 R€visionNo. 0 Doc.No. V049-l{24 Paee14 of35 PROCESSENGINEERING INC. S/N:802505A 03/2r/ 95 PAGE 7 Run ID= IMAGEs-3D =-===-1u'.54:55 = copyright (c) 1984-1993. RLCA/CelesEial Software = ASSEMBLESTIFFNESS MATRIX Version 3.0 12/3L/93 -ba l.ename =lJ5(-5 UHli Title =Beam Splitter Chamber Support Structure EQUATION NUMBER LIST NODE TRANSLATTON ROTATION WAS TS XYZXY 1 18 0 0 0 94 t3 96 dz tJ.J 84 85 85 87 l_5 77 78 79 80 R1 4 0 0 0 -l I t4 15 5 1A 70 72 73 b 11 52 53 55 56 57 7 1 0 0 0 1 2 I 7 28 29 30 .'.L 5Z 33 5 _LO \7 18 I9 20 2t 10 3 0 0 0 l_0 11 I2 11 13 b5 bb 58 69 72 10 48 49 50 51 'tg I.' 0 0 0 0 n 0 14 20 0 0 0 0 n 0 _L5 t2 58 59 60 53 L7 88 6t 90 t-L 93 q )_7 40 4J 44 +3 18 4 5 o 7 I 9 T9 34 35 35 37 38 39 20 2t 0 0 0 0 0 n 2I 25 STIFFNESS SUMMARYIN -L ljLIJLAD Minimum Di-agonal Stiffness. .1541D+08 Eq No of Minimum Diagonal. . z6 Maximum Di-agonal Stiffness. . ZJJ IU+LL Eq No of Maximum Diagonal. . oz RevisionNo. 0 Doc.No. V049-l-024 Paeel5 of35 PROCESSENGINEERING INC. S/N:802505A 03/2L/ 96 PAGE I Run ID- 15:54:55 r M 7\ /! F e - 2 n ------= copyright (c) 1984-1993. Rl-,cAlcelestial Software = SOLVE DISPLACEMENTS version 3.0 t2/3I/93 Fi lename =BSCSUPP Title =Beam Splitter Chamber Support St.ructure I.,,OAD CASE 1 MAXIMUMUNBA-LANCED LOADS COMBINEDWITH DEAD WT + E0(.055G) GRAVITY LOADING .0000E+00 .0000E+00 .0000E+00 CONCENTRATEDLOADS Node Fy Fz MX My 14z 15 .4625E+05 -.l-400E+05 .0000E+00 .0000E+00 .0000E+00 .00008+00 2a .0000E+00 .0000E+00 .2944E+O5 .00008+00 .00008+00 .00008+00 REFERENCETEMPERATURE = .0000E+00 R6'ision No. 0 Doc.No. V049-l{24 Pneel6 of 35 PROCESSENGTNEERING INC. S/N:802506A 03/2r/96 PAGE 9 Run ID= l-6:54:56 IMAcES-3D======Copyright (c) 1984-1993. RLcA/celestial software = SOLVE DISPLACEMENTS Version 3.0 L2/37/93 Fi lename=BscsUPP Tit.le =BeamSplitter Chamber Support Struct.ure LOAD CASE 1 MAXIMUMUNBAIANCED LOADS COMBINEDWITH DEAD WT + EQ(.055G) APPLIED LOAD VECTOR Node Fy Fz Mx My Ylz l-5 46258+05-.1400E+05 0000E+00 0000E+00 0000E+00 .00008+00 2I 00008+00 .0000E+00 2944E+O5 0000E+00 00008+00 .0000E+00 RerisionNo. 0 Doc.No. V049-l-02,f Pasel7 of35 PROCESSENGINEERING INC. S/N:802506A 03/2L / e6 PAGE 1.0 Run ID= IMAGEs_3D ======1tt54t56 = copyrighr (c) 1984-1993. RLCA/celestial Software = SOLVE DISPI,ACEMENTS Version 3.0 12/3r/93 Fi.lename=BSCSUPP TiEle =Beam Splitter Chamber Supports StrucEure LOAD CASE 1 MAXIMUMUNBAI-,ANCED LOADS CoMBINED WITH DEAD WT + EQ(.055G) DI SPLACEMENTS Tr an s1a t i on s / Ro t at i on s NodeXYz/XYz / ----- 1 . OOO0E+00 . OOOOE+00. OO0OE+00/ .1'9428-OZ- .44438-05 -.3025E-02 2 .5339E-01 .l-2508-03 .3407E-01/ .13778-02 -.44438-05 -.2353E-02 3 .1134E+00 .1353E-03 .6335E-01/ .10908-02 - ' 58828-03 - .13L9E-02 4 .0000E+OO .0000E+00 . OOOOE+00/ .1870E-02 .28208-04 - .3rrZE-02 5 .5559E-01 - .1250E-02 .3381E-01 / .1964E-02 '2820E-04 - .29028-02 5 .1485E+OO- .22938-02 .1040E+00 / - .576l-8-03 - .5703E-04 - .298LE-04 ? .00008+00 .00008+00 .0000E+00 / .!7458-02 .7949E-04 ' .2866E-02 8 .5059E-Or -.37478-03 .30478-01 / .rrsrE-02 ,7949E-04 -'22998-02 9 .1115E+OO- .74578-03 .5170E-01 / .r2868-02 .75]-78-03 -.94118-03 10 . 0000E+00 . 0000E+00 . 0000E+00/ '20298-02 .4585E-04 - '29:.4F,-42 11 .52088-01 .1OO0E-02 .3551E-01 / .2Or9E-02 .46A5E'-04- .25758-02 12 .13588+00 .1683E-02 . 1058E+00/ - .tglgs-03 ' 23058-03 - .22578-03 13 . OOOOE+00. OOOOE+OO. OOOOE+O0 / .0000E+00 .0000E+00 .00008+00 14 .0oooE+oo . ooooE+00 .00008+00 / . ooooe+00 .0000E+00 .0000E+00 15 .15248+00-.8354E-02 .9?O3E-01/ .262]-8-03 .1263E-03 -.411-8E-03 15 .2821-E-Or .5250E-04 .1831E-01 / .180]-E-02 - -44438-05 - .2857E-02 !7 .2832E-01 - .624sE-03 .15698-01 / .r8948-02 .28208-04 - .3050E-02 l-8 .2662E-Or -.1874E-03 .16s7E-01 / .L595E-02 .7949E-04 -.27248-02 19 .2658E-01 .5OO1E-03 .1828E-01 / .20278-02 .4685E-04 -'28558-02 20 .0OOOE+00. O0OOE+OO.00008+00 / ,0000E+00 ' 0000E+00 .0000E+00 2L ,1524E+OO-.59448-02 .9785E-01 / .252:-8-03 .1438E-03 -.4118E-03 RevisionNo. 0 Doc.No. V0{9-l-024 Paeel8 of35 PROCESSENGINEERING INC. S/N:802506A 03/2L/95 PAGE 12 Run ID= r0; f,+ : I / IMAGES_3D======Copyright (c) 1984-1,993. Rl,cA/celesE.ial Soflware = SOLVE BEAM LOADS,/STRESSES Version 3,0 12/3t/93 Fi lename =BSCSUPP Ti.tIe =Beam SpLitt.er Chamber Support. Structure Load Case 1 : MAXIMLM UNBATANCEDLOADS COMBINED WITH DEAD WT + EQ(.055G) Gl,oads Node Fx Fy Fz Mx My t'tlz Lloads Node Axial Y-Shear Z-Shear Torsion Y-Bending Z -Bending Stress Node Axial Y-Shear Z-Shear Torsion Y - Bending Z - Bending Corne r1 Corner2 Corner3 Corner4 Maximum Minimum * * *BEAlvl NO. 5*** Glroads r6 - .l-555,L+U5 .10508+05 - .1526E+05 .1464E+05- .1348E-11 -.l-4 00E+05 cl,oads o . _L)f 5E+U5 - .1050E+05 .r626E+O5 - .2928E+06 .1348E-11 .2800E+06 L,Loads 18 .l-050E+05- .22508+05 .5027E+03- .1348E-11 .+az+L+v+ . zvzSE+vb 8 -.1050E+05 .2250E+O5 - .5027E+03 . 1-348E- l"L -.9049E+04 -.4050E+05 St res s l-8 - .5037E+03- .30078+04 .67L8E+O? .19838-13 .1183E+03 - .5294E+O4 .4808E+04- .57798+04 - .50168+04 .45728+04 .48088+04-.50158+04 St.ress 8 -.50378+03-.3007E+04 .67]-9E+OZ . 19838-13 .2356E+03- .1059E+05 .1022E+05- .10958+05 - .1-143E+05 .97478+04 . tvzzL+vJ -.rl+51!+u5 * * *BEAIi{ NO. 5*** Gtoads d - . ru5b11+u5 .7220E+04 - .42458+04 .9017E+05 .0000E+00 .74LZE+05 GLoads 9 .1055E+05- .72208E+04 .4245E+04 - .20058+05 .0000E+00 .20058+05 LLoads 8 .7220E+04 -.l-047E+05-.4458E+04 .0000E+00 .1162E+05 .11.358+05 LLoads 9 -.7220E+O4 .l-047E+05 .44588+04 .0000E+00 .0000E+00- .2835E+05 Stress 8 - .4149E+03- .1399E+04-.5971E+03 .00008+00 .303?E+04- .29558+03 .29)-9E+04 .23268E+04-.37498+04 -.31,568+04 .29!9E+O4 - .3?498+04 Stres s 9 - . 4149E+03 - .1399E+04- .59718+03 . 0000E+00 .0000E+00 - .7415E+0/, .70008+04- .78308+04-.7830E+04 .7000E+04 .7000E+04 - . ?830E+04 * * *BEAIT{ NO. 7*** cl,oads !9 -.5542E+04 - .28048+05 - .2753E+03 .2485E+04 .90428-L2 - .5888E+05 GLoads 11 .55428+04 .28048+05 .21638+03 - .49738+04 - .9042E-I2 .11?8E+06 LLoads 19 - .2804E+05 .44308+04 -.482IE+04 .9042E-12 -.4339E+05 - .3987E+05 LLoads 1L .2804E+05-.44308+04 .4821-E+04-.90428-72 .8578E+05 .7975E+05 Stress 19 .151"1-E+04 .5920E+03 -.6442E+03 -.13308-13 - .1134E+04 .1042E+04 -. f otf E+u5 .1519E+04 .37888+04 .17038+04 .37888+04 - .5655E+03 Stress 1"1 .1511E+04 .5920E+03 -.64428+03 -. 1330E-13 - .2269E+04 .20858+0L - .27 428+04 . L42tE+Q4 .5965E+04 .17958+04 .5955E+04 - .2742E+04 ***BEAI{ NO. g*** GLoads II _.IItrJI1+U) - .1325E+05 -.90438+04 - .27128+06 .00008+00 .2638E+06 GIJoads LZ .ITfJE+U5 .1325E+05 .90438+04 .35038+05 .0000E+00 .3603E+05 LLoads l-l- - .1325E+05 .77598+04 -.14558+05 .0000E+00 .3783E+05 - .5215E+04 LLoads 12 .13258+05 -. L759E+04 .1455E+05 .0000E+00 .0000E+00 .50958+05 Stress 11 .7514E+03 .2351"8+03-.]-944E+04 .0000E+00 . 9889E+04 .1354E+03 . L0 51E+0 5 .1079E+05 -.8991E+04 -.92648+04 ,1079E+05 - .9254E+04 St ress !z . /ol.*!l+uJ .2351E+03-.1944E+04 .0000E+00 .00008+00 .1332E+04 -.5708E+03 .2094E'+04 .20948+04 - .57088+03 .2094E+04 - .5?088+03 * * *BEAlvl NO. g*** Gloads 2 - .82358+04- .92878+Q4-.103?E+02 - .49938+04 .1583E+03 - .3758E+06 RcvisionNo. 0 Doc.No. V049-1.024 Paee20 of35 PROCESS ENGINEERING INC. s/N: 802505A 03/2r/96 DAr:tr r ? Run ID= Lb: f +: f / = copyright (c) l-984-1993 RI-,cA/cel-esL ia 1 Software = SOI,VE BEAM I,OADS/STRESSES Version 3 .0 t2 /3t/ 93 Fi l ename=BS CSUPP Title =Beam Splitter Chamber Support Structsure Load Case 1:MAXIMIJM UNBAIANCEDLOADS COMBINEDWITH DEAD WT + EQ(.055G) Gloads Node Fx Fy Fz Mx My Mz Lloads Node Axial Y- Shear z - Shear Torsion Y-Bending Z-Bending Stress Node Axial Y- Shear Z - Shear Torsion Y-Bending Z-Bending Cornerl Corner2 Corner3 Corner4 Maximum Minimum GLoads 5 .8235E+04 - 9287E.+O4 . 10378+02 . 4 993E+04 .7 L29E+03 - .4043E+05 2 -.8235E+04 .92878+04 .1037E+02 - .4993E+04-. -Lf,O .tE+U '' . J / D Ot1+UO Lloads 5 .8235E+04-.9287E+04 - .l-037E+02 .4993E+04- . I LZtL+U5 .40438+06 Stress 2 .79L9E+03 .1,585E+04/ . J+Z3E+UL' , ! > UZE+U3 - . t287E+02 - . zvvzL+u5 .^^..^- .2080E+05- . 1924E+05- , L>ZLL+U) . ZV 6 ZE+VJ .2082E+05- . Lrz+E+u> Stress 5 .7919E+03 . -Ltr 6 5-ts+ U4 .3425E+01 . 1902E+03 .57 9 6E+Oz .21-538+05 - .2068E+05 . 2238E+0 5 . zzz tE+u> - . zu6uE+u: . zz3dE+va - .20808+05 * * *BEjUvl NO. 10*** GLoads 5 .6602E+01 .55028+04 .1201E+05 .2522E'+05-.7]-298+03 -.51-40E+04 Gloads aJ -. bbuzli+u_L - .5502E+04 - .l-201E+05 .2100E+05 .15838+03 .5140E+04 LL.,oads 5 -.12018+05 -.5502E+04- . 5502E+01 .5140E+04 .7129F,+03 - . zazzL+u6 LLoads I .1201E+05 . 5502E+04 . 6602E+0L - .5140E+04- - _t56 .'E+ U 5 - .21008+05 Stress 5 .11558+04 -.9981E+03- ..1-L6Ul1+U-L -. rv5611+UJ . > I >blr+VZ .IJ+5E+U5 - .1,222E+O5 .14648+05 .1464E+05-.1233E+05 St.ress I .11558+04 -. vvu-Lt1+uJ - .2180E+01-.1958E+03 . LZO I Er+U Z -.l-11-8E+05 .12358+05 - . 10028+05 - ..LUU+E+U) . LZ55E+U' ..t-z5JL+Ua -.1004E+05 * * *BEAI!,I NO. 11*** cl,oads I - .4983E+04 .87858+04- .1037E+02-.7390E+04 - . rloSlf +u5 -.35928+06 GLoads 1l- .49838+04 -.8786E+04 .70378E+42 .73908+04 - . I L4 tL+V J -.3788E+06 Lloads 8 .49838+04 -.8?86E+04- .l-037E+02 .7390E+04 .1583E+03- , J5t ZE+U6 l,Loads 11" - .4983E+04 .87868+04 .1037E+02-.7390E+04 .71-29E+03- .37888+05 Stres s 8 - .4791-E+03-.1594E+04- . J+lf E+uL - . zo_Lf -Ei+u5 . L2878+02 . J-yJ_5tl+U5 -. J-YOUE+Utr . J-db /tf+u5 .18548+05-.1953E+05 .18678+05 -. r-yb5t;+u5 Stress L1 - .47918+03 - .1594E+04 - .3425E+01 -.2815E+03 - .) t>0l:+vz -.20L8E+05 .1954E+05 - .20718+05- . zubutl+uJ . Lv /5t1+u5 .1975E+05-.207L8+05 * * *BEAlvI NO. 12*** GLoads 11 . bbUZE+U-L - .50028+04 .t' /f,Ot1+U{ . ZOt' /E+Ub . 7129E+03 -.27438+04 GLoads . obuzE+u-L .5002E+04- . 8756E+04 .2355E+06- .1583E+03 .27 438+04 LLoads 11 .87568+04 .6002E+04 .66028+01 - .2'743E+04- . I LZ>E!+VJ . zbo /11+ub LLoads 2-.87558+04 - . ouuztt+vll - . 55028+01 .2743E+04 .1583E+03 .2355E+05 StreE s ,84208+03 .10898+04 .21808+01 .10458+03 -.5796E+Oz- .14318+05 .l-341E+05- .1521E+05 - .1510E+05 ,1353E+05 12q,?E'rnq - .15218+05 St ress .84208+03 .10I9E+04 .2180E+01 .1045E+03- . L2878+Oz .1254E+05 .1340E+05 . lro vll+u f . 11718+05 - .1337E+05 .11718+05-.13408+05 * * *BEAIr,l NO. 13*** GLoads 3 1015E+05-.2198E+03 -.5706E+04 .2224E+06-.1574E-09 - .22248+06 S],oads _Ll 10158+05 .2198E+03 .5705E+04 -.4060E+06 . ?085E+05 .477 4E+O6 Lloads 3 2327E+O4 .7?85E+03 - .11938+05 .2881E+06- .125lE+06 .8643E-09 Rsision No. 0 Doc.No. V049-1424 Page2l of 35 PROCESSENGINEERING INC. S/N:802505A 03/2t/e6 PAGE 1,4 Run ID= 16 :54 :5? = Copyright (c) 1984-l-993 RlcA/celestial Software = SOI,VE BEAM I,OADS/STRESSES Version 3.0 )-2/3r / e3 ! L J-ename =B!jcs;UPY Title =Beam Spl-itEer Chamber Support Structure ],O d Case 1 : MAXIMUM UNBAI.,,ANCED I.JOADS COMBINED WITH DEAD wT + EQ( .0s5G) Gloads Node Fx Fy Fz Mx My Mz Lloads Node Axial Y-Shear z- Shear Tors ion Y-Bending Z-Bending Stress Node Axial Y-Shear z- shear Tors ion Y-Bending Z -Bending Cornerl" Corne r2 Corner3 Corne14 Maximum Minimum - - ^^- ^: :::-: :- Lloads 15 .23278+04 -.ttd>L+vJ . _Lr>JE+uf, -. zoo-Ll1+uo .8995E+05 .5048E+05 Stress 3 .2327E+02 .7785E+01--.11938+03 -.14418+03 -. 1261-E+03-.85438-12 - - ruztE+u3 - .1029E+03 .1494E+03 . 14948+03 .1494E+03- .10298+03 Stress 1"5 .2327E+02 .77858+01-.11938+03 -.14418+03- .8995E+03 .50488+02 -.9267E+03 - .8258E+03 .9732E+03 .8723E+03 . 9732E+03 - . 9267E+03 ***BEAI,I NO. 14*** Gloads 6 - .1399E+05 .2025E+05 - .9445E+Q4-.5790E+05 .6670E-09-.5790E+05 Gloads 15 .13998+05 -,zuzaEi+u> . r++aE+v+ . bbz5l1+ub . l-910E+ 0 6 - .4288E+06 Lloads 5 .2330E+05 . J-190E+05- .3215E+04 .7501E+05-.32848E+05-.27788-09 L.,Loads 15 - .23308+05- .l-190E+05 .3215E+04 - .7501E+05 .2413E+05 .771,8E+05 Stress 6 - .2330E+03 . rrvuE+uJ - .3zr3E+uz - .3 ISrE+uz -.32848E+02 .27788-:-2 - . zoatE+vJ - .2559E+03- .20028+03-.2002E+03 -.2002E+03-.2559E+03 Stress l-5 -.23308+03 . _L_LvUE+U5 - .5Zta!,+VZ - .5 tarl,+VZ - .2413E+03 .7718E+03 - .1245E+04 .2975E+03 .7801E+03 -.7535E+03 .780L8+03 -. L24 6E+04 ***BEAI!4 NO. 15*** Gloads 9 - .10558+05 .72208E+04- .42458+04 .2005E+06 - .4327E-09 - .2005E+05 Gl,oads 15 .10558+05- .?220E+04 .42458+04 -.6L42E+06 - .62208+06 .1720E+05 Lloads 9 ,69888+04 .4822E+04 .10478+05 -.25988+05 .11378+05 .4LL5E-09 LLOaclS _15 - .69888+04 - .48228+04 -.10478+05 .2598E+05 -.7927E+OG .3L21E+OG Stress 9 - .59888+02 .48228+02 .l-047E+03 .12998+03 . 1l-37E+03 - .41158-12 .43848+02 .43848+02-.18358+03 -.18358+03 .4384E-+02-.18358+03 SEress 15 - .59888+02 .4822E+Q2 .L047E+03 .L299E+03 ,7 92'tE+03 . 312?E+ 0 3 . + lulb+u3 .1035E+04- .5499E+03-.11758+04 .10358+04 - .1175E+04 * * *BEAIq NO. 16*** Gloads L2 -. L3258+05 - . 9043E+04-.3503E+05 -.184lE-08 - .36038+05 Gloads 15 . L153 E+0 5 .13258+05 . 9043E+04 .35748+06 - .1045E+06 - .22O6E+O5 I-,L,oads 12 -.l-I548+05 -.53038+04 .1?598+04 - .45588+05 .2043E+05 .4527E-09 Lloads 15 .18548+05 .5303E+04 - .1759E+04 .45588+05 -.1345E+05-.40878+05 Stress f2 .18548+03 -.53038+02 .I759E+02 .2334E+O2 .20438+02 -.45278-12 .2058E+03 .2058E+03 . L650E+03 .l-5508+03 .2058E+03 .16608+03 Stress 15 .l-8548+03- . 5303E+02 .I759E+02 .2334E+02 .13458+03 - .4087E+03 .72958+03 -.87798+02 - .3558E+03 .46058+03 .7296E+O3- .3558E+03 ***BEAI{ NO. I7** * Gloads 1 -.18408+05-.35048+04 -.1547E+05 -.32898-09 - . 981sE-r.2 - . 3440E- 10 Gloads 15 .l-840E+05 .3504E+04 .1547E+05 - .13938+06 .9815E-12 .1556E+06 Lloads 1 - .3504E+04 .23 95E+05 .2O72E'+O4- . 981-58-12 .25698-09 .2082E-09 Lloads 15 .35048+04 -.2395E+05 -.20728+04 .9815E-l-2 - .1865E+05 .2155E+05 SEress 1 .201.4E+03 .3201-E+04 .27698+03 .14448-13 .6715E-11 -.5444E-11 .2014E+03 .2014E+03 .201-48+03 .2014E+03 .2014E+03 .2014E+03 RevisionNo. 0 Doc.No. V049-1424 Pase22 of35 PROCESSENGINEERING INC. S/N:802505A v5/ zL/ a0 PAGE 15 Run ID= 16 t54 t57 I MAGEQ-?n = Copyright (c) 1984-l-993. RLCA/CelestiaI SofEware = SOI.,VE BEAIV1].,OADS /STRESSES Version 3.0 12/3r/93 Fi Lename =BSCSUPP Tit.le =Beam Splitter Chamber SupporE structure Load Case 1: MAXIMUMUNBALANCEDL.,OADS COMBINED WITH DEAD WT + EQ(.056G) cl.,oads Node Fx Fz Mx My Mz Lloads Node Axial Y- !'near Z - Shear Tors j-on Y-Bending Z-Bending Stress Node Axial Y- Snear Z - Shear Torsion Y-Bending Z-Bending Cornerl Corner2 Corner3 corner4 Maximum Minimum St ress 16 .2014E+03 .3201E+04 .2769E+03 . L444E-13 .4 8758+03 .56358+04 -.4947E+04 .63258E+04 .5350E+04 - .5923E+04 .6325E+04-.5923E+04 ***BEAltl NO. 18*** GLoads 4 - .5751E+04 .3504E+05 .2574E+04 .14558-10 .97708-]-3 .14898-10 cl,oads I I . J /.1_LE+Ui+ - .3504E+05 - .25748+04 .23178+05 - .9770E-13 .5L75E+05 LLoads 4 .35048+05 -.5886E+04 .22468+04 .97708-13 - . 1705E-l-2 -.2089E-10 LLoads 17 -.3504E+05 .5886E+04 -.22458+Q4 - -9770E-13 - .2022E+05 - .52 98E+05 Stress 4 -.2Q!48+04 - .7856E+03 .30028+03-.1437E-1-4 -.4458E-l-4 .5461E-12 - .2014E+04 -.201-4E+04-.20I4E+O4 -.2014E+04 -.2014E+04-.20148+04 Stress I7 -.2Q748+O4 - .7855E+03 .3002E+03 - .14378-14 .:zot.t1+uJ -.r5.'tt1+ut -.l-0018+03 -.28708+04 -.3927E+04 -.11578+04 - .1001E+03 - .39278+04 GLoads 7 -. r.sssE+os.10s;;lBfY. rT!;".01']]lrro"-ro -. r.3488-11.41oEE-10 cl,oads 18 .1555E+05-.1050E+05 .16268+05-.1454E+05 .1348E-11 .l-400E+06 7 .1050E+05-.22508+05 .502?E+03-.1348E-11 -.2959E-10 -.8755E-10 LLoads l-8 -.1-050E+05 .2250E+05 -.50278+03 .1348E-11 -.45248+04 -.2025E+06 St res s 7 - .50378+03-.3007E+04 .57L88+02 .1983E-13 - .7735E-L2 .2292E-Il - .6037E+03- .503?E+03- .5037E+03- .503?E+03-.5037E+03 -.6037E+03 St ress 18 - .5037E+03-.30078+04 .67188+02 .1983E-13 .1183E+03-.5294E+04 .4808E+04 -.5779E+O4 -.601-58+04 .4512E+04 .4808E+04 -.6015E+04 * * *BEAIrl NO. 20*** 10 -.65428+04 -.2804E+05 -.27638+03 -.2741.E-10 .90428-L2 .3778E-11 19 .65428E+04 .28048+05 .2753E+03 -.2485E+04 -.9042E-72 .5888E+05 Ltoads 10 -.2804E+05 .44308+04 -.482]-8+04 .90428-)-2 .22068-10 -.1671E-L0 LLoads 19 .2804E+05 -.4430E+04 .48218+04 -.90428-12 .4339E+05 .3987E+05 Stress 10 .151-LE+04 .59208+03 - .6442E+03 -.13308-13 .5766E-12 .4369E-12 .1611E+04 .15118+04 .1511E+04 .16118+04 .15118+04 .161LE+04 Stress 19 .1511E+04 .59208+03 - .5442E+03 -.13308-13 - .1134E+04 .10428+04 - :56558+03 .151,98+04 .3788E+04 .17038+04 .37888+04 - .5555E+03 * * * BEAIVI NO. 2l* * * cl,oads 15 -.5457E-08 -.1210E-08 -.2944E+05 -.33998-10 -.17308+06 -.60298-08 GLoads 2r .5457E-08 .1210E-08 .2944E+05 .3399E-10 -.67628-08 .4820E-10 LLoads 15 .5457E-08 -.l-2L0E-08 .2944E+05 .33998-10 -.17308+06 .6029E-08 21 -.5457E-08 .l-2108-08 -.2944E+05 -.33998-10 -.6762E,-08 -.4820E-l-0 Stress 15 -.545?E-L0 -.1210E-10 .2944E+03-.17008-13 -,17308+03 -.50298-11 - .17308+03 - .l-730E+03 .1730E+03 .l,?308+03 .17308+03 -.1730E+03 St res s 2I -.54578-10 -.1210E-l-0 .2944E+03-.17008-13 .6762E-L! -.4820E-13 - .4"116E-IO- .4786E-LO -.6r-38E-10 -.5r-288-10 - .4776E-rO -.51388-10 RevisionNo. 0 Doc.No. V049-1424 Pas€23 of35 PROCESSENGINEERING INC. S/Nr802s06A 03/21/96 PAGE 1,5 Run ID= 15:54257 IMAGES-3D======Copyright (c) L984-1993. RLCA/celestial Software = soLVE BEAM LOADS/STRESSES Version 3.0 72/37/93 ! .r-Lename=B!iU5Ulili Title =Beam SplitEer Chamber Support Structure L.,oad Case l- : MAXIMUM IJNBALANCEDLOADS CoMBINED WITII DEAD wT + EQ ( . 055G) Gloads Node Fx Fy Fz Mx MY Viz Lloads Node Axial Y-Shear z-Shear Torsion Y-Bending Z-Bending Stress Node Axial Y-Shear Z-Shear Torsion Y-Bending z-Bendj.ng cornerl corner2 corner3 Corner4 Maximum Minimum RsvisionNo. 0 Doc.No. V049-I{24 Paee24 of 35 PROCESSENGINEERING INC. S/N:802505A 03/2!/95 PAGE )-7 Run ID= ro : f .t : f / IMAGES-3D======copyright (c) 1984-1993. RLcA/celestial Software = SOLVE BEA]VII,OADS/STRESSES versj-on 3.0 t2/3r/93 -FIIename=BtiLSU11P Title =Beam Splitter Chamber Support SErucEure Load Case 1 : MAXIMUM UNBAL.,ANCEDLOADS COMBINEDWITH DEADwT + EQ(.056G) MAXIMUM STRESS SUMMARYFOR BEAMS/TRUSSES WITHIN SPECIFIED RANGE 1- 2I Element IT: qi raac Tr,ha Yil:: _ '7 BEAM Axial Tension . _Lb_L_L.g+UZl 3 BEAM Axial compression - .20148+04 1 BEAM Transv. Shear .3201E+04 If, BEAM Torsion Shear .1299E+03 BEAM Bending Stress .2153E+05 9 BEAM Max. comb. Normal . z z 5 .Jl,+v) 9 BEAM Min. Comb. Normal - .2080E+05 RevisionNo. 0 Doc.No. V049-l-024 Pase25 of .35 PROCESSENG]NEERING INC. S/N:802506A 03/2L/95 PAGE 18 Run ID= !5t54:57 ]MAGEe-?n = CopYright (c) 1984-1993. RLCA/Celest.ia1 Software = SOLVE REACTIONS Version 3.0 12/3r/93 t I -Lename =lJSCs;UPP TiEle =Beam SpLitter Chamber Support St ruc Lure Load Case 1:MAXIMUM UNBAL,ANCEDLOADS COMBINEDWITH DEADwT + EQ( .0s6c) REACTIONS Node FX Fz Mx My l'4z- 1 - .18408+05- .3504E+04- .15478+05 .00008+00 .0000E+00 .0000E+00 - .5751E+04 .35048+05 .25748+04 .00008+00 .0000E+00 .00008+00 7 - .1555E+05 .l-0508+05- .1625E+05 .0000E+00 .0000E+00 .0000E+00 10 - .6542E+04 - .28048+05 - .2753E+03 .0000E+00 .00008+00 .00008+00 'I'Ota_L - .4525E+05 .1400E+05 - .2944E+O5 .0000E+00 .0000E+00 .00008+00 RevisionNo. 0 Doc.No- V049-l{24 Pace26 of35 I I i /'/ : ,. s.- t /r r',, | ./.1 ,,...\t a- F,z a - z't E .fH '4. e-/t o.t7r'r'V., ?1. t " t/' , /4- * . ,.: ,/..r'i .t t.x./^ r,r',F ); i < I ,l . , r r. ! /r.t,/6 .. lJ- tr't,i Jt, Ttt, s lJ A,/A /3 ,i.v e /,.. t.. - , 7 7 //d a ., 4.V ( e-+ ? s4, { r -/-? C4 (4.G ) 7 ,', s /a.|..r.t€, / .rrt a z cf € /7! r- A 6.L ,,i ',',1 ./. 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Ua.1 r...4 'ac1 t= ,-.7- O.? 3/ .-rI 2tE ( e .€- u t s 4 cr,a, .a.t -/ ., --. .@ 84 r-J ,.. .t.v J RevisionNo. 0 Doc.No. VO19-1424 Pam 35of35 PROCESSSYSTEMS INTERNATIONAL, INC. ENCINEERING NO: V049-l-025 WESTBOROUGH,MA CALCULATIONS PAGE I OF 5 REV. DEO# DATE BY: CHECK TITLE: Designof TemporaryCovers o o tzt ///'YiL Rt2 c./ tJrr I BY: R D. Ciatto DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.Design temporary shipping and test covers for 60.5in nozzlesin accordancewith therequirements of ASME SectionVIII, Div. 1. METHOD: Handcalculation to determinemembrane and shear stresses. ASSUMPTIONS: INPUTS: 1. Atmosphericpressure = 14.7psi. 2.Temperature = 70oF ( t 4 r,' a "'')' j,T+ne = y',lc " ! D')?tt''ri 84'!!'t"r't- REFERENCES:l. ASME Boiler& PressureVessel Code, Section VIII, Div. l, PressureVessels ? Pae.tJa. lar'?-/-t.6) l/4.\ /n(,.'.'n-, F ti,t F, Sr4 t.'.-, ?.:s' .t ?.e,'"<,,,, CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The requirements of theASME Codeare met. 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DEO# DATE BY: CHECK BeamSplitter Chamber - EvaluationofNozzle to o ooa4 / " /2,/r' R/x-- /\GR ShellWelds BY: )t ./) ,( 2'L7. , DEYI .:.744 PROJECT: LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.To evaluatenozzle to shellfillet welds. MFTHOD: Handcalculation using standard principles of mechaincs. ASSUMPTIONS: INPUTS: LIGO projectsketches and drawings. REFERENCES:ASME Boiler & PressureVessel Code, Section VIII, Division l. 4.> y'.aeuL"'1 Poo. No. L/o/r-/'oAE, l-/ Ert:.,r, !7 '4 sa;-s:nl L DEt , a.u i2,4 r r; .t ,,4 CALCIJLATIONS: (SEEATTACHED) CONCLUSIONS:Nozzle welds are acceptable. NOTES: 'ILED \F.\TEMPLATE\EI'{OFORMS\ENOCAlC ,,,:: /lj;t,,.2 {/.;// t DJ Y irx:, --1 'rV /:: U/ 1 ,t ta 1 - ( ,") tr',t > ...) a ? < a:- D/.i .\',i; .-t T,'/,t . ,-,J.-.'J " u /. 1, /r // C2,D. 7,"= 7/,'e)-,.?!.1 ' /,/.,- t.'(1 7 Ea:3J 7 44 ,- Z? .t - ..;- /. z. .' -.r t 7 't.Z .t),i t A -t7.t.;:'J) F ,-lr, t ct,?. r.; F LJt I Ftt t t' ? Ft4t E--D 'nz.4 / /-<.t'-u4 ?' 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DEO# DATE BY: CHECK BeamSplifter Chamber - VesselLifting Devices 0 oo24 /1 /;ta:_ NDb BY:I( 2 .('t 4 rr i; DEPT.:7,14 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PURPOSE:.To designlifting lugsand evaluate leg stresseswhen BSC is lifted androtated to & from a horizontalposition. METHOD: Handcalculation using standard stress analysis method. ASSUMPTIONS: T\trPUTS:l. LIGO projectskteches and drawings. 2. Yerticalsnu.. REFERENCES: CALCULATIONS: (SEEATTACHED) CONCLUSIONS: Lug & weld stressesare acceptable. Stresses in supportlegs and shell areacceptable. NOTES: A spreaderbeam should be used for thelift. / 7r, 7 ',' ,. !tJ1..! fl 41 1a u>t F3r-/,r.4 -ED aJrra,, - 4I<_. /4/ = z,-,t .:t .) . t /AJCLu46J J',-.'24r..-rJ /2N'r'r d ,/.7 4 L. E- ,4a t1t"eL , !4 , ., F .,.) i: /24til{,!t.tr t.t.J) 4 / 4-_ -.1 !4,! / o\ 7-2L'. < €,, l/ rn- 4n= // ,:,2 , z 4r. /" L]t ! 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[, / RY R D Cirllo DEPT : ?44 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.To evaluatethe BSC shellfor loadsimposed during shipping. METHOD:The IMAGES finite element computer program is usedto analyzeshell stresses. ASSUMPTIONS:It is assumedthat the BSC will be shippedwith its longaxis in a horizontalposition. Also,it is assumedthat the vessel will be supportedby 2 wood saddlesduring shipping. INPUTS: Vert shockaccel = 19 Horizontalshock accel, = .5g InternalVacuum Pressure = -14.7 psi REFERENCES:I IMAGES3D, Version3.0, R.L. Cloud& Associates . 2- Doc.No. V049-l-066,LIGO VacuumEquipment, Structural Design Criteria CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:Shell stresses that result from shippingloads are low. Thevessel can withstand a shockof 5Gsor morewithout damaee to the shell. NOTES: Thecomputer file name is BSC-SHIP. PROCESSSYSTEMS INTERNATIONAL, INC. ENGINEERING NO: V049-l-028 , WESTBOROUGH.MA CALCULATIONS PACE I OF 7 REV. DEO# DATE BY: CHECK BeamSplitter Chamber- ShippingLoads 0 ]J2P- rz/o/51' 4 0<_ l^E?h BY: t7 .,2 -( .,t ., J DEPT.t ?44 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PUMOSE:. To evaluatethe BSC shellfor loadsimposed during shipping. METHOD:The IMAGES finite elementcomputer program is usedto analyzeshell stresses. ASSUMPTIONS:It is assumedthat the BSC will beshipped with its longaxis in a horizontalposition. Also,it is assumedthat the vessel will besupported by 2 woodsaddles during shipping. INPUTS: Vert shockaccel = 1g Horizontalshock accel. = .5s REFERENCES:IMAGES 3D. Version3.0. R.L. Cloud& Associates CALCULATIONS: (SEEATTACHED) CONCLUSIONS:Shell stresses that result from shippingloads are low. a*-o ua rr ,! L eo0a t tuJf 4/^r 4 5'/e./< .1 a.,!L *-,a 4-".r tta s4r'44lz 6t, NOTES: Thecomputer file nameis BSC-SHIP.*- FILED \F \IEMPLATE\ENcf ORI,IS\EI.TOCALC rTcn (rt,.' 7.',L 1. / ,'../ s tr /J ',Jv 2t/zt /- 7 //4 r3sC_ .,,/t e- 4i t../ / ,a 2 F o //4 /J A.a,/ 7.'.v .,,'r, Ptt'=..' -,.1 clz/.'tt/ Jrs//0rz;r t 4./ 2 t<... r. o O J4 )4'a1 ./2,../o JTAePN4 ,o 4 S t='-D ooo /.;\ z1-* (,/( ,/ D (€) S./tot.'- (n ? .'r...1 /- , f. ?.// € 'f r. -,'< r,,r.+ < ,!.!t J ., .,r.5 ./.J I '7 J 7 a 7-/'/ t S/1 .4 4. I .o c.f >--.. 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JUL-72-7996 13127 PROCESS5Y5TE}45 INT'L WESTBOROUGIIMA PROJF,f'T: LIGO Vacrlrm Eguipncut PROJECTNO:v59Htl PLIRPOSE:.Compufic estimgtcd ihflectims d BeamSplitb 60 in. rozles. MF'TTI0D: Coubinesbetl deflections witb supportdrflcctious to obtainmaximrm estimaled deflections atpofis. .ASSUMPTIONS:Bellovr deflectswi6 negligiblcforce. INPUTS: Dedectioruaoq shetlFF ffialysis- Deflectionsfirom supportfri...{nalysis. psl layod DWG. showingbellons locqtion- NoTBS: The basisfor thesedeflections is thp supportsuct,oe preserrtodia the pDR. PRCCESSSYSTEI,E INT' L ?o i t st !l $ri \ --r' il I\ s ? : ' Rovirltn 0 Doc. No Votl9-l{il9 Pezc 2 ofS JLn_-12-79% r3t29 FROCESSSYSTET€ INT'L 0/a.a,+. rr' r-. (o-o...o-*t E4E iii oec I. 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DEO# DATE BY: CHECK TITLE: BucklingAnalysis of BeamSplitter Chamber 0 4t t2l 4lrt /EDL- BY: Kvle Manini DEPT.: 744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.Evaluate the beam splitter chamber (BSC) for bucklingmodes. METHOD: Finiteelement method and hand calculation. ASSUMPTIONS:See attached. INPUTS: LIGO projectdrawings and sketches. REFERENCES:NASTRAN Finite Element Program y',,+!u/4 (t,:d Dae No, y'av+-/-a66,1/4o F 4d,P 9, e urt D'tr. eti'a, CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The minimum factor of safetyagainst elastic buckling for vacuumloading is 5.9. NOTES: /3 /!J a '/ .,* ? ./" .t 4 ?L': -i t r-/Z 4 )<-. 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J a< I :! .I .!d; (o -{ II t?;t 0 Por, A)o y'or'r- /- 0 '/A tr.7 o1 7 ENGINEERING NO:Vo4t-l-oLi CALCULATIONS BEAfl SPUTTGA SOF'JCAT CI€Y/J PBQIEI: LIOO PROJECTNO: V.f? o q I -t DETELTit^)Z tlE STAUC.T{JAn\- lN]-E.6AtTy 6F Tr+E BSc- CLEvr5Suppod].AGSEH6LY I\IETHOD: . CL*ssrC4! STAE.SS ANA|-VS6 -tYA,x SHEA!- 51f.ES! Tneary SEE. Cauca INPUTS:V64C-l-ozq DWGSi vo4 l-4-oL3 F V049 --4-oOt D6C.M0, TSHEm / b\v z, rrg!r3ir AISc, scH --crr+.€i. vo#T-t J a1a L,raro'' ,/.t?, E e.r,'t . 1.o..'..' ?a.. -.<.e '.< CALCULATIONS: (SEEATTACHED) CONCLUSfONS:STAUC-/daaL SuFFAAT OF Cr-eVrs ATTACHHEuT- *- \./ELOS ,qR€ DES/GN/=D 7.o AsH€\@- AeOu,esg5g13 '4!:G€ - l.- BSc- Supporur DEstGrJ Sx,arct+ Z,- ,l\r r nyT,ASt-E VSrr> Rrl.e=sr:> + s.- Soppccr Veuq -TaAr't ooo Rev o Doc.No. vo4t-l-o69 P. zopl l.o BS<- \uprrJLi i-Es,G,..l s/<4-rcH g'r4'r-. Poo €d4 L -T- PBT6 Pg tEl l+ A r/P .'. 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Col,lBrrJr:.t., SrFJ=sq L S,. = 5343 f s4E-l Qi - to, s?o PS t ,l V"-=-loqPs,, E= o ooo FlAx SrAEss lu-redSril: Srra,x= lo,'j6o-(-tcia\ - ac)/864ps, z- r.-fsv4 = lflozs- Pg1 o{ Rr", o Doc. No.Vo{9- r-069 |:,9oc9 PROCESSSYSTEMS INTERNATIONAL. INC. ENGINEERING NO:y'av7-/- aj/ WESTBOROUGH.MA CALCULATIONS PAGEI OF2 REV. DEO # DATE BY: CHECK VacuumEquipment Seismic Acceleration o 0./1I /z/r'/rJ lz/)(- 'wpP, BY: U . U/.t r-T a DEPT-: 744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.To determinemaximum seismic acceleration factors for designof LIGO vacuumequipment. METHOD:Hand calculation using applicable construction code. ASSUMPTIONS: INPUTS:LIGO - 8940002-02-4,Vacuum Equipment Specification, Rev. 2, September6, 1995 REFERENCES:1. LIGO Specification(above) 2. ASCET-88,American Society of CivalEngineers - Minimum Design Loads for Buildingsand Other Structures y'ac,'te" t!,?r'',r ).Doc.^)o, y'P./r- /'aaa, lr6$ J=avc-, Da: ,t y',nrr: a t,n . CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The maximum seismic acceleration factor is .05625G.This factorwill be appliedto equipmentweight in staticanalyses. NOTES: Themaximum seismic zone for LIGO equipmentis ZoneI .4c -'.)/.--4 lt': Z u.u '; fE = Z TCn €.2 /6 -4s''! ly't" .,/ 7'* t- ooo ? :y'r 7442€ z/ T /,o 7'9t 2 2 t- 74 j r.'.r- ta "u.pzt.-.-a- 4 / 'l ? '9/-c\ F G,-',-- '":.Lr.'- ..J F/6/// F- ?/.o lt .) /.2) A; O fC z )- /L'P ,', {a ts,.,.e '^, ( ( -' L .a" 6z t' (-- (2rrr..,..) t ,'";.';J 'z 'r) /2/1 / n. A/2 ,-.r A a !,.tr .l z D t a.t- t ,-t .?,vJ /7 2F ? -.-1,j a.) ',1 4 2'-,;t 7- L/. ( 45(E 7- .?v ,, / w.o Doc il" Vo4t-t-o?t ?1. zol 7 PROCESSSYSTEMS INTERNATIONAL, INC, ENGINEERING NO:V049-l-032 WESTBOROUGH.MA CALCULATIONS PAGE I OF ,t3 REV. DEO# DATE BY: CHECK TITLE: ComponentInterface Loads 0 i 4z'//" ' ,/2,rc-- Ac-F( BY::./l. 4 . C./.4 -, i) DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO: V59049 PURPOSE:Determine vacuum forces on componentflanges due to theventing of certainsections ofthe systemwhile other sectionsremain under vacuum. METHOD: Handcalculation methods of staticsare used to determineunbalanced vacuum loads on: I BeamSplitter Chambers r HorizontalAccess Modules . GateValves r 80K Pumps ASSUMPTIONS:Bellows impose negligible axial forces on components.Adapters and valves have no axialrestraint. INPUTS: PSI EquipmentArrangement Plans and spool piece dwgs. Atrnosphericpressure = 14.7psi. REFERENCES:Senior Flexonics, Inc. - Prelim.Design Calculations of LIGO VacuumEquipment - Bellows(attached). CALCULATIONS: (SeeAttachment) CONCLUSIONS:See summary on followingsheet. NOTES: This calculationmay be usedto determinevacuum forces on adapters,spool pieces and tubes. 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Ots59 tn C-trlod. of E. = g3E+o7 4)g = CONVOLUTION e. FITCH -?' in H-ilod. of 5) r.r : CONU (or E.c e.6865E+O7 HEIGHT OD) - E.ez in Sa= 1641? psi 6) N = N0. OF EONUOLUTIoNSEe. 7) = F FRESSURE - 1.'J g) T = P5ig TEMFERATURE = 347 d;g F 9) Lt = LENGTHTnNGENT = 1,3. tO) - tc THICRNESSOF COLLAR=o in lt ) = I Le LENGTHEOLLAR -a tn =-8I-l8L --;-;; I?l €s- colrF,REssroN '|" 15) = -i Y- ve LATERfiL OFFSET = O ln 16) AN - ANGULARROTATION - O dca { RESULTS !rtr €PRING RATES STRESSES EJiIA THEORETICALSpRING RATE = e,9?9.82 lbf/in Sl E 7644 Dsi waRKrNGsF.RrNG RATE - t;6o4.44 iurri" I - LETERAL Sl N./Fl SPRINGRNTE = I.6ZZS+OS lbf/i; = LATERRLMOMENT Ee 3SOq psi RATE = t.etSE+O6 in-rirzin S?t -N/A ANGULARfioMENT = RnTE ar838.58 tn_tosrceg Sa' I =N/A ToREtoN ty4oFENTRATE = s. igsE+oz irr_iiiro"g 53 r 4AO.g p5i movEHENTS 54(.35)= TOS7 pei inlconv. CONUOLUTION GAF E O.96410 - CO.iIPRE6ION 56 l4QgoG pei DUE TO AXIAL HOVENENT - O.75OQO - EXTENSION ST 1560|i|A p'i DUE To FXIAL l.IovEl,IENT G O. GoOOO NXTAL DISP. DUE TO LAiERAL OFFSET- O. AaOOO AXIAL EJI'IA FASTORS DISF.. DUE TO NNG. ROTATION - O. O&OQa cp - '|NX. EOUI VALENT .65sr AXIAL COMFTRESSI ON = O.75OAO Cf - }IAX. EOUIVALENT l. 463 NXIAL EXTENSION = Q. UrerOOO Cd - T'If,I. EOUI VALENT t. 74 AXI AL I.IOVEI,IENT = O.75OO€r CP = OTHER DATA N/Fl Ct-l O CYCLE LIFE = 19,3!6 cycles EA - 1983 n^P StrUI RI4 FRESSUREcoLD /?. = i ?E B3B p;ig Ht. r 17. 34 I bs. SOUI R]t PRES9UREHOT / a.a5 = 793.9 pErg EAUI LCIJ- N/A V. PTPE T.,ALL THICXNESS = . 87O6 in Rcvisior0 Doc.No- v049-l-032 Psgc2l of23 03/26/95 oB t3: O?lo 829 !l oo FuroN I cs ulqr_ - Boor SENIOR FLEXONICS CI RCULAR BELLOI"'S (UNREINFORCEDSIN6LE' BD CIJSTOHER: FROCESSSySTEtirS JOB tr 60in DATE : E. J. S/?S/9A RUNBYr LDC INFUTED DATA I'ATERIEL INFORHqTION l. Db = t.D. OF BELLOiT5 =5O = in BELLOI.JSfiNTERIAL SECT. VII t ?) n NUIT1BEROF F,L1E6 -t Ene40-304 3) t e NOF. pLy THK. BF t = . e'359 ln C-itod. of E. - z. 4) q = CONVOLUTION a3E+O7 FITCH E? 1n H-ltlod. of E. c 5) s = CONU (or e.6865E+A7 HEIGHT ODt - e. eg in 8a= l64le p3t 5) N = NO, OF EONVOLUTIBNS-? = 7) F PRESSURE p5i9 --_ al = -----,K T TEi'|pERATURE = .347 deq F 9) = f Lt LENGTHTANGENT in \t - \r;e-) lS) tc THTCKHESSOF COLLAR=H in ll) - )-- , -r-Af*' Lc LENGTHCOLLAR =G in l?) Ee = fiXIFL EXTENST0N =a in. G lvruu" 13) Ec = AXIAL COf{FRESSION = 1,5. = '- rn \ 14) Y+ +tve Lf,TERAL OFFSET= o-* ln rJ- i = -r 15) Y- ve LATERAL OFFSET ECI in 16) - QN ANGULARROTFTION EO deg rI---T---- RESULTS SFRING RATES ETRESSES EJI'IF THEORETIOCLSPRTNG = RATE 3,683. aE tbflin Sl - €545 UORHINGSPRING = P3r RATE 1;E45.34- rbf/iN Slr - N/Fl LqTERALSF,RIN6 RATE - = r. isrE+o6.: = rorrii Se 469? Psi LFTERALtlOM€Nr RATE = e.e6lE+g6 ii_ric,zi" EN/q ANGTJLAR Ser NOI'|ENTRBTE = 16, c46. 06 in-tbizoeg I -N/A TORSTON S?r l{OhENTfif,TE = Z.it7E+eZ in-rOsZCeg 53 - 478.5 Pst FIOVEhENTS 54(.3J). 7160 p3i coNvoLurroN SS = 76,9. e Psi GAF -"{l8ll;" 56 - COITPRESIONDUE To t4g6OO P3i nxIAL HoVEFIENT = o.zioie ST E t6ttoo psi EXTENSIONDUE TO nxIAL itOvEt{ENT = O. gOOOo SXIEL Dtsp. DUE to LATERALoFFsET . g. oio6g EJhC FACTORS !l-lAL_PI9p. DUEro nNG. RorFrrON = o.ooo6o cp - iIAX. EOIJTUALENTFXIAL .57or COMPRESSiON= O. iiOOO Cf - 1.506 llAX. EAUTVALENT AXIAL EXTENSION = O. OOOO0 Cd ' 1.69t ilAx. EOU! UALENT RXIAL |OVEHENT - A. ?SOOo Cr r OTHER DATA l{/F Ct-l CYCLE O LIFE / . FREssuREcoLD I ER 3043 i n"3 lgl.1!!'ipBEssuRE /a.a= ,fllaGs ;::1"' Ht. E el.6Z I bs. :99lni Hor /.?.?5 = sio.; ;;;;- LClr= N/A EOUIu. PIpE FALL THTCKNESS€ .S?06 i., Ravision0 /--' { "*' tt Doc.No. V049-l{32 \ 5al44l L co €enaL Uf,l,o? (/t?el P69.22of 23 lJ!/ z0l vr lrr: u, I;rl I u o.r oluu IlJAUl\ | !5 t/ru. g 00a SENIOR FLEXONICS CI FCULAR EELLOI.IS (UNREINFORCEDSINGLE) BD CUSTOIIERI F,ROCESSSYSTEHS JOB tr Tain E. J. DATE : 5/e3/95 RUN BY: LDC INF.UTED DATA NNTERIAL = INFORFIATION l) Db I.D. OF BELLOWS -7e in BELLOI.'S E FIATERIAL SECT. UI I T E) n NUHBSROF trLIES El sA?4A-304 3) t E NOn, pLy THH. OF t E . 0359 in C-trtod. of E.= a. e3E+O? 4} q = CONVOLUTIONPITCH c2 in H-lrlod. of E. = a.6a65E+o7 5) t{ = (or CONVHEIGHT OD) = ?."8 in S.= 164l e psi 6, N - N0. OF CONVOLUTIONS=? 7, 9 = PRESSURE - 13 = Prig 8) T TEEF,ERATURE = 347 dPg F = 9) Lt LENGTH TANGENT = l. E in = lO) tc THICKNESSOF cOLLnR -o in = llt Lc LENGTH COLLFR ao tn - 1?, Ee AXIAL EXTENSION =o in = 13) Ec RXIAL COmTRESSION = 1.5 in G 14) Y+ +!ve LhTERAL OFFEET=g in E -! tE) Y- ve LATERAL OFFSET=o in = 16) AN ANEULARROTnTION =o deg REEULTS SF.RI NG RATES STRESSES EJEN THEORETICAL SpRtNG RATE = 4r ag€r.e3 lbflin Sl - 9360 I.TDRKINGSPRING = FBi RATE E; ?89.71 rUrriN Etr r N/n LFTERAL SFTRINE = RATE t.A93E+O6 lbf/in Se = 5581 psi LRTERAL fiOtiENT RATE = B. ?BZE+A6 in-lbs/in Set:N/A nNGULRR tytoMENTRATE = 27ts.3j.Z7 in_tbszaaE Ser r GN/F ToRSIoN F1O['4ENTRATE , 1.333E+oa in_iiiroeg A3 - 477, t pBi 54(.33)- psi FOVEIIENTS TPrS lnleonv. SS i 759.1 pei CONVOLUTION BQP = G.964rO S6 r l479OO psi COI'IPRESION DUE. To Ax rAL oVEITENT E O.75OOG ST - EXTENSION 1634OO Fri DUE iO AXIAL iIOVEMENT = G. OOGOO NXIAL DISP. DU6 TO LATERAL OFFSET = 0. &QOOO EJdA FNCTORS AXIAL DTSF'. DUE TO AN6. ROTATTON - O. eaoQo cp - . gzse l||NX. EOUTVALENT AXIAL COFIPRE6STON= O.758Oo Cf - t.535 NNX. EOUIUALENT CXIRL EXTENSION - O. SOOoG Cd E l. 67 IiAX. EOUIVALENT AXIAL EOUEHENT = O.75OoO Cr r N/F OTHER DATA Ct-t 6 CYCLE LtFE = l5r e3O cyeler En c 433el SOUIRh PRESSURE - i n"a coLD /2. eE te06 p;ig Ht.: e5 SOUIRMPRESSURE i I bs. HOf / a. aE ft45 p3iS LCt{. N/A EOUIV. PIPE I.IALLTHICXNESS r , AzO€. in Rcvision0 Doc.No. V049-l{32 Pagc23 of23 PROCESSSYSTEMS INTERNATIONAL, INC. ENGINEERING NO:V049-1-042 WESTBOROUGH,MA CALCULATIONS PAGEI OF 37 REV, DEO# DATE BY: CHECK BoltedFlange Analysis For TensileForces o ,// tt/7t I?DL. AGA. BY: DEPT.:744 PROJECT: LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.Analyze and evaluate flanges and bolts for largetensile forces resulting fiom normal operationfrom ventingofparls of systemswhen gate valves are closed. METHOD: Handcalculations for forcesusing statics analysis. Finiteelement analysis of boltedflange using IMAGES program. ASSUMPTIONS: INPUTS:1. Positivepurge pressure = 2 psig. 2. Atmosphericpressure = 14.7psig. 3. Componentinterface loads. REFERENCES:1. IMAGES - 3D, Version3.0, R.L. Cloudand Associates. 2. CalcV049-1-032. Comoonent Interface Loads CALCULATIONS:(SEE ATTACHED) AppendixA: ConfirmatoryHand Calculations AppendixB: Analysisof Bolt Prying AppendixC: TestPressure to ObserveFlange Behavior Under Tension CONCLUSIONS: The 30 1/4 in. flangehas the maximumbolt force. The numberof bolts is increased to 24 for this flangeand the bolt preloadis increasedto 10,000lb for all flanges. 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No. Vd4g*l-Ozl lla.o PtpE B('pqP SRE^A+ SrrF a*3 -R.Az: vo41- 4 - O+g Or.r'rr o+5 b., 'A-tn . !OV7- 1- oC 6, L /(, d y'Ac- , € t;o ,2, S-.1s ' e{!rbd ..: -t1 ..t .!w6 -O4 - q7l,r. vo41-4-' j aAISc- EO?3aD. ftp. .--STAAD3 . t HrLTt-TEC.H Gu roe.-- AuCrfo(" o Por CALCULATIONS: (SEEATTACHED) .BR|DGE suEreca p/ptr wtrH REvLss^6x4xt4HEfi&ts ls.Ara:raBr€ = 9 N LY fuh}l (L) Avclr4A. OaLrs AAJa A€ciu,A€A ?,.-lt pL A ?/-, -,r-ALt- W€LOS SFTALL BE Jtt6. FtrtEf Eg .,/p1- .,t Lle^J 4 o?Ea. SI4AA 3 trtLE vAMA tsA.l-AoU, SrO FkEa /q, PAecDLy:\4tstr.\ lagur-- C)F LoutrEldrS f)r ^ '- --=-rA\sE_ l. - STAAD3 lrqpr.ir .L . DEusrrY .E .{ , Sersrllc- . PrPe-Lo,qos . S e,rsy"lc- LoAoE - Ptlttl co ooo - Ppe. 6tiac.e. $rea--I[6rr,re . Hooe.- Foa- Frp,z- Loaog 4 ' l1.to,=. fun- Sersnrc. Loa0g s - al a{ al 2, Ar'icr+oe./P..rorts a . A.E c.rrou L4{os Lt . Sr.rr-rrar.7 oF BnsE kare/Arx-*l( }€,ccT/ods b 'Aut4rwleuELoaO 7 3. - BASE- Pultr- QocLle,c{i.toL) 7 . Ra4or l:* P,*ra Trlcxrtess 7 ' dc rq,uits totrJ! a 4. - STAAbi)S ConPutEA- llcrrfe- li.rporlourrrlr j-tB A-:r-xcur.revJ]-r Hl,qeO Up has Dluc- lol \,1-aqg-*'og REvo &c..No,Vo49-t-ott p, z oFll l. - STAAD3 lNpur 1 . bEr-LSrT'i = .28i ,/,ut Moor.rtrrs or= E,J(sne-rF1 Ez. ?AXtoLPT l Porssord zf=.3 SE/S.r-1,C, = .o€6Aj'{ P'pe- LoAoS- (Rerl qc"c, PrFe. BarAcrci SRe?ctr SrH-r?arJ ooo F,, F" = (ttooit-\ = .fo-oE Fr = ltod F l'4 a 4oE c{ c{ a1 46* Fo,= 4ob F"r = lor Fs- ?O,F Fq- l6-oF Eo= 96P Fo, ' lc-dP SEEEEEEEEEEEEEEEE $HIc.LoaDa. Fx,, Fz = S.-a /.o,razs)= 3,F fs .. I to6 (,of,az r-) - GZE Fl - 46(.o.f,62.t) e2.?.€+ Fg-- +6 (.oCezs-)'.- z,'L€F Fs* 4O(,of,6zs-)=z.Zf,b F1- ?o (, os-6zf,) e 6:66gre Fer- 1o(.os-az^y)a $,oc,3F l=9 = lS-d (,oscz.r)= A.4+F Eo * ? o (,os-szs-)'.9.oc'3'F :- PrPe Bnrocp Sree*Jd,ra(sE€- Hooa.- p'3+4) ElexErJi- DEAowgt or+r; .160,20o, rO3+-?63'. SXLK|/A X log' Lorr<- E-A<+ Vji-fl22.129./Ff)l&JX log s sa;.g*- E.{ctl . 306,3_02' +goq . eK G r T \ d. \ \ rf: T \ !.r d o. \ \ I 6l .l t c g o I N t, r)t .t l d. i- t|l-' <{qr lu e{ J rtl 3n. E6 I u) t <: l( t:.) ifirs tJt gr"1 - '- t7t flg ijot, i4lL ,fi[:*il; P.'( oF t1 'd- 6, lo 'f,od_9 tL?- t-6ba\'oN a ^ld d,l trI \, a i cO 3rJ o- d d -.A J4 rx{ Qa AJ s- ,t L <,/, R':v o tu t-r '' 1t4,2 Or',. tJ,. /(vi' P' s- a': 11 UIT- STaaOJ -R.zuur.:rsI (St=E- OUTPJT P.8-t'tl . ll^xrHopl Ve,o .Stzg.-or 4ri z3/taflutHobl .', o< -]da. . Au\- $reeu E'Erts'Jr- I'{EF{BF.,4-SPlssArsc Ac-c=Pr*uca CerreRr{ .' IFe PrPe Bp-rt6E\l rrtt fiEiEEeDFr"-t s-,.C i/4 i'a*<*7a ilEhgel't ts AaraorE I rt ' A flAXr Hut4 =loriJ'i- DrsPr;c-eHelrJ?- oF . z74oL' MJ JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X !.toM-Y ylot{ z 10 1 50.70 390 . 45 -3.30 0.00 o.oo 0.oo 2 l-44.50 3454.01 -2L5.O9 0.00 o.00 o.oo L95.20 3844.46 -2r_8.39 0.00 o.oo 0.o0 50 1 -50.70 390.45 -3.30 o.00 0.00 o.oo 2. -464.A7 3698.52 -182.35 0.00 0.00 o.o0 3 -515.55 4088.97 -L85.65 o.00 o.00 0.00 60 1 49.03 390.45 3.30 0.00 0.00 0.00 2 42.5L 566.27 -128.68 0.00 0.oo o.00 9l-.54 956.7 2 -125.38 0.00 o.oo o.00 100 1 -49.03 390.45 3.30 0.00 0.00 o.oo 2 -340.81 95L.20 -92.55 o.00 0.oo o.oo -389.84 x341.54 -a9.25 0.00 o.00 o.o0 5 04 4 aL'-l Nooeg LoA 0 so CtO ,oo l-.* l?t r9rr -€t6 9L - 3ro Fv (* €a4f 40g 1 t341 fr- (tt\ -ztb -t8b - tLl" -a1 V6tr-rc<,r-. Ld4\S r(a-e- d.r- CoplPA.€sSrvs .', 6puy l*otuzaor4i_ S*a,cl- L-oADs Aaa lplP:s;t' ouro Aus*ol- f$ourrxrG. AuaLvaE Noor=- '.fo F)r \/orsg C sg [-6,46rr.:a - HAxr,,-tt)^-t SHE{e- Loao: r" F" ,o, ' f l--^trF=']'- f (-5r€')'+ (-teA'ln' .''+? (rora.\ R.EV O Soc: N6. .//f,4c't'o4t P.6 dF + /'t l- z.- SUt - Au-ow4€cE Loz(a ( Re*' l{,,--, ^ S,P-.c-T24uE f-op- 924"HaS Avcrror\ noO) r-fitl:- Ar-r-or^.r,\.Oui- SI+G(L L6r{O |?A- A 3/4" t],,A. F+ASSrD, (sAe rdrg) A'.Jer+a(?-.oN lg I 4,8oo a- V#,c# -iBr"l 'A?PLrEo ls c.,\.g4feA Tle fllxirluw ghl€{A- L6AN OF \5-z+9tL.,. T'jBC.\ 9a'-Dl4.r4t=/-6 tL- Arvc++i].4_ Bou6 Pe< /AAse Pure. ls nDEq04i-6. ooo d,=4-, L€ = 3,t75. m = (N-4')/L " m = t4 - 3,75= .f, r?-5 ?- n b' . 6-. zs- 2 €,'7.f 6--l n n =(a- U)/z n =.!l:gJg =4.t2.t" 2- 3, - brsri PLarr: Qo.d\-rproArrod Rr=c: ,AIsc- p. o -/aG -Ti+,c. V$,=A.,:l m ' 4,3t25' (HN oF M oart) Fr = 3 6/ood RsI F.,a PLAz€- F,..r /rr'..; Sr, fF . Acr,rn c- Da(Au(- PngEsu e€ (OxN) fF = P/ - 1o4./(u^n\< e r-Psl Vsala,. P = qoo?F (Hn* Crape.ss,u€L4,(J fp = er PSr Z .gd fL = ,af](o@o\= r,o€of.ur.: oK ts = . zS"' 1t' oK REvo B;c.j,!),rYoc?-'-0I' CONCLUSIOUS p, pse../JArA 6g t6lrH RevtsaA 6 x4 x t4. t{Euoets ls Acc-ePrA3cs,. Q*..r Ttlo<.\ 3/A" DtA ANcr$a $6r;? Fba Base Pr-Ana ztrr-ra ?eQurteA A-u Veuns St-r*u,- Be olu' E,-'-E-F ooo Rev o Ooc.N6,Vd4i-t'o'7 I F.6 op t1 PAGENO. 1 ID: Process SYStens Internatio *****************************************'t******** 4,- ** * STAAD_III JK * Revision 21. o * * Proprietary Prograrn of 'k * Research Engineers, Inc. !t * Date= MAR 23, !996 * * Tine= 12.32.33 !t *fr * USERID: Process Systems International * ********************************t(***************** 1. STAAD SPACE PIPE BRIDGE 2. INPUT WIDTH 72 3. 'IFILE NAME:ARTROU 4. 'IPIPE BRIDGE 5. UNIT INCHES POUND 6. iIOINT COORDTNATES 7. 10 0. 0. 0.; 20 0. 108. 0.r 30 1.02.108. 0.t 40 204. L08. 0. 8. 50 204. 0, 0.; 60 0. o. -72.r 70 o. 108. -72.i ao LO2. 7O8. -72. 9. 90 2O4. LOA. -72.; 100 2O4. O. -72. ].0. MEMBERINCIDENCES l-1-. L00 IO 20, 101 20 30; 102 30 40; L03 40 50; 200 60 7Oi 201 70 80 12. 2OZ 80 90, 203 90 100, 300 20 7Oi 301-30 7Oi 3O2 30 80; 303 30 90 13. 304 40 90 1-4. MEMBERPROPERTY AI,IER 15. 100 TO r.O3 200 TO 203 300 302 304 TABLE ST TUBE TH 0.25 WT 4, DT 6. ].6. 3O]. 303 TABLE ST TUBE TH 0.25 lIT 4. DT 3. 1.7. SUPPORTS 18. 10 50 60 1OO FIXED BUT MX MY MZ ].9. CONSTANTS 20. E 27999998. ALL 21. DENSITYO.283 ALL 22. POISSON0.3 ALL 23. BETA O. ALL 24. E STEEL ALL 25. POISSONSTEEL ALL 26. LOAD ], TRUSS SELFWEIGHT(D1) 27 . SELF'WEIGHTY -], . 28. LOAD 2 PrPE LOADS (D2) 29. JOINT LOAD 30. 20 FX 31. FY -550. FZ 31. 31. 30 FX 31. FY -550. FZ 3r. 32. 40 FX 31. FY -550. FZ 31. 33. MEMBERLOAD 34. 100 CONGX 12.1 54. 0. 35. 100 CONGZ r2.t 54. O. 36. 200 CONGX I2.L 54. O. 37 . 200 CONGZ r.2.1 54. O. 38. 103 CONGX 12.r. 54. 0. 39. 103 CONGZ 12.L 54. O. 40. 203 CONGX 12.1 54. 0. 4t. 203 CONGZ 12.1 54. 0. -Re',,o -Qoc . No, Vo47 - l -on / P.I ;)t: t? PIPE BRIDGE -- FAGE NO. 2 ID: Process Systerns Internatio 42.300CON GX 8.07 36. 0. 43,300 CON GZ 8.O7 36. 0. 44. 302 CON GX 8.O7 36. 0. 45. 302 CON GZ 8.07 36. 0. 46. 304 CON GX 8.07 35. 0. 47. 304 CON GZ 8.07 36. O. 48. 101 CON GX l-l-.1 51. O. 49. 101 CON GZ L1 . r. 51. O. 50. 102 CON GX LL.L 5l_. 0. 51. 102 CON GZ lL.1 51.0. 52. 20L CON GX 1r..1 51. 0. 53.20L CON GZ 1r..1 5L. 0. 54. 202 CON GX 11.1 5L. 0, 55. 202 CON GZ 11.1 5L. 0. 56. 301 CON GX 6.6 62.43 0. 57. 30). CON GZ 6.6 62,43 0. 58. 303 CON GX 6.5 62.43 0. 59. 303 CON GZ 5.6 62.43 0. 60.300 CON GX 62. L0. 0. 6L.300 CON GY -1100. 10. 0. 62. 300 CON GZ 62. L0. 0. 63. 300 CON GX 3t, 20. o. 64. 300 CON GY -550. 20. 0. 65. 300 CON GZ 31,. 20. 0. 66.300CON GX 2.25 25.25 0. 67. 300 CON GY -40. 25.25 0. 68. 300 CON GZ 2.25 25.25 0. 69. 300 2.25 29.75 0. 70.300 CON GY -40. 29.75 0. 71 . 300 CON GZ 2.25 29.75 0. 72. 300 CON GX 2.25 34.25 0. 73. 300 CON GY -40.34.25 0. 74. 300 CON GZ 2.25 34.25 0. 75. 300 CON GX 5.063 40. 0. 76. 300 CON GY -90.40.0. 5.063 40. 0. 78. 300 CON GX 5.063 4?.5 0. 79. 300 CON GY -90. 47,5 0. 80. 300 5.063 47.5 0. 81. 300 CON GX 8.44 55. 0. 82. 300 CON GY -150. 55. 0. 83. 300 8,44 55. 0. 84. 300 CON GX 5.063 62.5 0. 85. 300 CON GY -90,62.5 0. 86. 300 CON GZ 5.063 62.5 0. 87. 300 CON GX 8.44 70. O. 88. 300 CON GY -150. 70. 0. 89, 300 CON GZ 8.44 70. 0. 90.302CON GX 62. 10. 0. 9r.302 CON GY -1100. 10.0. 92. 302 CON GZ 62. L0. 0. 93. 302 CON GX 31. 20. o. 94. 302 CON GY -550. 20. o. 95. 302 CON GZ 31. 20. o. 96. 302 CON GX 2.25 25.25 0. 9't . 302 CON GY -40. 25.25 0. -iloc.Pa'.,6 No, Vo11-t-o1 t Plo ot>t? PIPE BRIDGE -- PAGE NO. 3 ID: Process systens Internatio 98. 302 CONGZ 2.25 25.25 0. 99. 302 CONGX 2.25 29.75 0. 1.00. 302 coN GY -40. 29.75 0. 101. 302 CONGZ 2.25 29.75 0. .o2. 302 CONGX 2.25 34.2s 0. r03. 302 coN GY -40. 34,25 0. LO4. 302 CONGZ 2.25 34.2s 0. 105. 302 CONGX 5.063 40, O. 106. 302 CONGY -90. 40. 0. to7. 302 coN Gz 5.063 40. 0. r.08. 302 coN Gx 5.063 47.5 0. 109. 302 CONGy -90. 47.5 0. 110. 302 CONGZ 5.063 47.5 0. 111. 302 CONGX 8.44 55. 0. !L2. 302 CONGY -150. 55. 0. 113. 302 CONGZ 8.44 55. 0, 114. 302 CONGX 5.063 62.5 0. 115. 302 CONGY -90. 62.s O. LL6. 302 CONGZ 5.063 62.5 0. LL7. 302 CONGX 8.44 70. 0. tt8. 302 coN GY -150. 70. 0. 11.9. 302 CONGZ a.44 70. O. 120. 304 CONGX 52. l-0. 0. L2L. 304 CONGy -11-00. 1.0. 0. L22. 304 CONcZ 62. IO. O. I23. 304 CONGX 3L. 20. 0. r24. 304 CONcY -550. 20. 0. 1,25. 304 CONGZ 3l-. 20. 0. L26. 304 CONGX 2.25 25.25 0. I27. 304 CONGY -40. 25.25 0. r28. 304 CONGZ 2.25 25.25 0. .29. 304 CONGX 2.25 29.75 0. L30. 304 coN GY -40. 29.75 0. L3t. 304 coN Gz 2,25 29.75 0. L32. 3s4 CONGX 2.25 34.25 0. 133. 304 CONGY -40. 34.25 0. 134. 304 CONGZ 2.25 34.25 0. 135. 304 CONcX 5.063 40. 0. 136. 304 CONGY -90. 40. 0. t37. 304 CONGZ 5.063 40. 0. l_38. 304 CONGX 5.063 47.5 0. l-39. 304 CONGY -90. 47.5 0. L40. 304 coN Gz 5.063 47.5 0. l-41-. 304 coN GX 8.44 55. 0. L42. 304 CONGY -150. 55. O. I43. 304 CONGZ 8.44 55. 0. L44. 304 CONGX 5.063 62.5 0. 145. 304 CONcY -90. 62.5 0. 146. 304 CONGZ 5.063 52.5 0. r47. 304 CONGX 9,44 70. 0. 148. 304 CONGY -150. 70. 0. 149. 304 CONGZ 8.44 70. 0. 150. LOAD COMB3 151. 17.2I. 152. PERFORMANALYSIS Rerro Doc,lia.voq1 P.rl rF IY PIPE BRIDGE -- PAGE NO. 4 ID: Process Systens Internatio PROBLEI',1 STATISTICS NUMBER OF JOINTS,/}IEMBER+ELEMENTS,/SUPPORTS= Lo/ L3/ oRIGINAL/FINAL BAND-WIDTH = 6/ 3 TOTAL PRIMARY LOAD CASES 2, TOTAL DEGREESOF FREEDOI,{ 48 SIZE OF STIFFNESS MATRIX = ].].52 DOUBLE PREC. WORDS REQRD,/AVAIL.DISK SPACE= L2.O3/ 378.2 lllB, EXMEM= 6.69 !,tB ++ PROCESSINGELEMENT STIFFNESS MATRIX. t2.32235 ++ PROCESSINGGLOBAL STIFFNESS MATRIX. L2.32.37 PROCESSINGTRIANGULAR TACTORIZATION. 12'.32.37 ++ CALCULATING'IOINT DISPLACEMENTS. 12.32r37 'r'r CALCUI.ATING MEMBER FORCES. 12:32:38 153. *PRINT MATERIAL PROPERTIES ALL 154. *PRINT JOINT COORDINATESALL ].55. *PRINT SUPPORTINFORMATION ALL ]-56. *PRINT MEIIBER INFORMATIONALL ].57. *PRINT I.{EMBERPROPERTIES AI,L 1.58. PRINT JOINT DISPLACEMENTSALL Rat o NO.Vo{?-/-o'7i P,{4 ota l? PIPE BRIDGE -- PAGE NO. 5 ID: Process Systens Internatio JOINT DISPLACEI,IENT(INCH RADIANS) STRUCTURE TYPE = SPACE ,INT LOAD X-TRANS Y-TRANS Z-TRANS X-ROTAN Y-ROTAN Z-ROTAN 10 1 0.00000 0.00000 0.00000 0.00003 0.00000 0.00016 0.00000 0.00000 o. o0000 0. oo384 0.00022 -0.00145 3 0.00000 0.00000 0. o0000 0.00387 0.00022 -0.00129 20 I 0.00004 -o . ooo27 0.00141 -0.00003 o.00000 -0. ooo33 2 0.20601 -0.00286 o.271-r4 -0. oo015 0.00022 -o.00286 ? 0.20604 -0.00313 o.27255 -0.00018 o.ooo22-0.00318 1 0.00000 -0.03539 0.00146 0. o0002 0.00000 0. ooo00 2 o .20579 -o.24067 0.24518 0.00084 o.00025 0.00042 o.20579 -o .27 606 o.24665 0.00085 0.00025 0.00042 40 I -0.00004 -0.00027 0.001-4L -0.00003 o.00000 0.00033 o .20554 -0.00306 o .21760 -0.00023 o. o0023 0.00105 J 0.20550 -0. 00333 0.21901 -0.00026 0.00023 0.00138 50 1 0.00000 0. o0000 0.00000 0.00003 o.00000 -0.00016 0.00000 o.00000 0.00000 0.0031-4 0. 00023 -0.00337 0.00000 o.ooo00 0. ooo00 0.00317 0.00023 -0.00353 50 1 0.00000 0.00000 o.00000 -0,0000L 0.00000 0.ooo15 0.00000 o.00000 o. o0000 0.00330 0.00028 -0.00159 3 0.00000 0.00000 0.00000 0.00330 0.00028 -0. o0l-44 70 0.00004 -0.00027 0.0014L 0. 00005 0,00000 -0.00031 o. L8703 -0.00047 o.27Lr9 0.00094 0.00028 -0.00203 J o .14707 -0.00074 o.27260 0.00099 0.00028 -0.00234 80 1 0.00000 -0,03030 0.00146 0.00010 0.00000 o.00000 o.18679 -0.12860 o.24522 0.00199 0.00027 0. ooo39 0.18679 -0, ,l L5890 o.24668 0.00209 o.00027 0.00039 90 -0.00004 -0.00027 0.00L41_ 0.00005 0.00000 0.00031 0.l-865t -0.00079 o .2L762 0. 00090 0.00030 0.00044 o . L4647 -0. o0l-05 0.2L903 0.00095 o.00030 0.00075 t_00 I 0.00000 0.00000 0.00000 -0,0000r. 0.00000 -0.00015 0.00000 o.o0000 0.00000 0.00258 0.00030 -0.00280 ? 0.00000 0.00000 0. o0000 o. oo257 0.00030 -0.00295 ************** END OF LATEST ANALYSIS RESULT************** l-59. 'IPRINT MEMBERFORCES ALL ].60. *PRINT MEMBERSTRESSES ALL 161. PRINT SUPPORTREACTIONS frry?g",'fi-' -oit PIPE BRIDGE -- PAGE NO. 6 ID3 Process Systetns Internatio SUPPORTREACTIONS -UNIT POUN INCH STRUCTURETYPE = SPACE .INT FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z 10 1 50.70 390.45 -3.30 0.00 0.oo 0.00 2 r-44.50 3454. 01 -215.09 0.00 o.o0 0.00 3 195.20 3844.46 -zLA.39 0. 00 o.o0 0.00 50 1 -50.70 390.45 -3.30 0.00 0.00 0.00 2 -464.87 3698.s2 -ra2 .35 0.00 0.00 0. 00 -5L5.56 J 4088.97 -185.65 0. o0 0.00 0.oo 60 49.03 390.45 3.30 0.oo 0.00 0.00 z 42.5L 566.27 -L28.68 o.o0 0.00 0.00 3 9L.54 956.72 -125.38 0.00 0.00 o.o0 1 -49.03 390.45 3.30 0.00 0.o0 0.00 2 -340.81 95L.20 -92.55 0.00 0.oo 0.00 -389.84 J L34L.64 -49.25 0. 00 0.00 0.00 ************** ENDOF I,ATEST ANALYSIS RESULT ************** ].62. PARAMETER 163. CODEAISC ]-64. MAIN O. ALL 165. WELD ],. ALL 166. CHECK CODE ALL Rr=v t\r- No, Vd4i-,-dz pl4 /"\/- lg PIPE BRIDGE -- PAGE NO. 7 ID: Process systens Internatio STAAD-III CODECHECKING - (AISC) *********************** .TLL UNITS ARE - POUN INCT{ (UNLESS OTHERWISENOTED ) MEMBER TABLE RESULT,/ CRITICAL COND/ RATIO/ LOADING/ FX MY TIZ I.OCATION lOO ST TUB E PASS Arsc- H1-3 0.393 3?06.97 C 22932.24 -2I734.79 108.O0 1O]. ST TUB E PASS Arsc- Hl-3 o .444 ? 335.58 C -464.13 65820.25 102.O0 ].O2 ST TUB E PASS Arsc- HL-3 o .449 3 362.87 C -398.99 -66632 . 07 o.00 IO3 ST TUB E PASS AISC- H].-3 0.585 3 3951.48 C -19396. s3 55027.6I 0.00 2OO ST TUB E PASS AISC- H1-3 o.1.92 3 8l-9.23 C L2887.65 -10539.33 108.00 201 ST TUB E PASS AISC- H1-3 o .24t 3 36r-.06 C 227.O5 35356.93 L02.OO 2O2 ST TUB 8 PASS AISC- H1-3 o .24L ? 407.22 C 337.93 -35233.39 0.00 2O3 ST TUB E PASS AISC- H].-3 0.368 3 l-204.16 C -8985.98 41444.94 'l/.rn cfn mtlD Er PASS AI SC- H]-- 3 0.1?5 3 ),77.87 C 359.43 257L3.20 0.00 3 O]. ST TUB E PASS Arsc- H2-1 0. t L0 2 228.27 T -23.rr -5895.90 0.00 3O2 ST TUB E PASS AISC- H1.-3 0.045 3 9.0t c -564.94 -5998.97 72.OO 303 ST TUB E PASS AISC- H2-]. n 1't1 3 103.18 T -24.97 -7279.46 124.85 304 ST TUB E PASS AISC- H]--3 0. L56 3 1.25.55 C 77L.02 2240r .43 ].67. SELECT WELDALL SF"'io*".vo49-r-d1r -E rs 3F lq PIPE BRIDGE -- PAGE NO. 8 ID: Process Systens Internatio STAAD-III WELD DESIGN ********************* ALL UNITS ARE - INCH POUN MEMBER LOCATTON/ WELD TYPE/ WELD SIZEI coI{B STRESS/ LOADING HOR STRESS VER? STRESS DIR STRESS 100 STA 1 L/L6 3084.49 ? 174 .7L 156.16 3075.57 100 END 1 2/16 12567 .55 3 82.51 a2.92 12567.OO L0L STA 1 r/rc Lr632.56 J 4o2.92 1-297.54 11532.04 101 END 1 3/16 9936.68 270 .60 397.90 9925.02 LO2 STA L 3/L6 10057.32 290.05 499.31 IOO40.73 102 END I 2/L6 r_3151 .09 439.51 800.9L L3rr9 .32 L03 STA l_ 3,{16 L2733.40 3 46.28 r34.26 I2732.6L 1,03 END l- L/L6 3300 . 42 3 r4a .52 41-2. 45 327L.L8 200 STA t L/16 775.38 3 t-00.30 73.23 765.37 END 1 L/76 12369.77 3 90.62 82.9L L2369.16 20L STA 1 r/16 3032.44 858.48 932 . A9 2754.75 20r END 1 2/16 8085.26 3 424.80 414.50 8063.44 202 STA I 2/L6 8tt 4.59 J 444.35 535.50 8084.70 202 END l- 2/L6 7635.L4 J 439.91 587.44 7599.74 203 STA L 2/16 I2r44.24 J 30.86 151.09 12L43 .26 'rllo 203 END 1 r/16 o(| .l 7L.40 3LL.A7 1-O73.32 RErzo Qoc,No, Vo{1-i-o'1 I fla oF r? PIPE BRIDGE -- PAGE NO. 9 ID: Process systerds Internatio STAAD-III WELD DESIGN ** ******** ** * t! tr tr **** * ALL UNITS ARE - INCH POUN MEI'{BER LocATIoN/ WELD TYPE/ WELD STZE/ coMB STRESS/ LOADING IIOR STRESS VERT STRESS DIR STRESS 300 STA I t/16 12044.01 3 986.83 2373 .86 tI?66.44 300 END 1 r/16 8890.62 3 960.86 795.3L 8802.69 30L STA 1 7/L6 65L4.24 2 4LO.22 620.97 6572.24 301 END L t/L6 4511.28 J 458.68 75A .L7 4423.39 302 STA 1 ! tl16 1405.35 2 Ll-o.58 1194.18 732 .61_ 302 END I L/16 3080.75 72.49 77L.92 298L.59 303 STA I r/L6 6359.39 17.50 120.3L 6358.23 303 END 1 r/L6 79!2.75 3 39.66 226.60 7909.4L 304 STA t L/L6 ro724.02 3 767.tr 2155.18 ro477.L9 304 END L L/L6 7 439.25 .l 727.40 707.44 7370.27 ****************** END OF TABULATED WELDDESIGN ****************** ]-68. STEEL TAKE OFF Ra., o SC.,lro. vo4i-t-o?/ ? t'7JF ti PIPE BRIDGE -- PAGE NO. 10 ID: Process Systens Internatio STEEL TAKE-OFF PROFILE LENGTH( INCH ) WEIGHT(POUN) ST TUB E 1056.00 L344.293 ST TUB E 249.70 2L? .493 TOTAL t56r.79 ************ END OF DATA FROM INTERNAL STORAGE ************ ].69. LOAD LTST ALL 170. LOAD LIST 23 ].71. FINISH *************** END OF STAAD-III *************** **** DATB=MAR 23,1996 TIIiE= 12:32:39 *rr*rr ********************************************************* * For questions on STAAD-III, contact: * * Research Engineers, Inc at * * Ph: (7L4, 974-2500 Fax: (7r4) 92L-2543 * ********************************************************* 3ev-o D6C NO. VO41- l- O.7! c,ooFt1 ' AffL?L .7ol f7, Crallo K rra';D'd'o* ( fr^u'oe .h4se-\-k*'a*t vtlr'/ 'tS t h+o'urs ,L /tPe / fue'ol' .L 5h75 7d 3 oFs rqtfg t arr|iE to - sa.t ltrcrtG ar 't.@ a, oc tc!. a v !( otFa, tl.ftor o€ a€a! a la ca BY: Kvle Martini DEPT.:744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.Evaluate the horizontal ugsgs5 meiu le (HAM) METHOD: Finiteelement method and hand calculations. ASSUMPTIONS:See attached. INPUTS: LIGO projectdrawings and sketches. Shellthickness = 0.5 in, 60 in nozzlethickness =.5 in, headthickness = 0.375in Thicknessofother nozzles= 0.125in, saddlewear plate thickness = 0.75in, Thicknessofsaddle and stiffeners = 0.5in. baseplatethickness = 1.0in Da(,r't" /ay'g'/-aa6, l/dc, l/E tTEr'!r. AFt .," /"?/.'.. -: REFERENCES:1. ASME Boiler & PressureVessel Code, Section VIII, PressureVessels, Div. I andDiv. 2. 2. IMAGES3D, Version 3.0, R. L. Cloud& Associates 3. Hilti ConcreteFastener Catolos CALCULATIONS: (SEEATTACHED) CONCLUSIONS:Stress are within the limits of the ASME Code,Section VIII, Div. 2. NOTES: Computerfiles are HAM6.* Re\,isionNo. 0 Doc.No. V0{9-l{39 PeeeI of 19 .s a=/4/44 Bl Ai,r'la-stt r,, DI) l'1,',,t ) llca-l/c <-/ra.. Laorl ( aJ€. Sl ret s J,4.Je,{l/ 0te Ba-//w Der'!3t. Prtto4rAq,6--/rs/ 3S,.': 56'l /J/ : ooo = Isl i,5Sr' 28'O /:t rrloc PL /6,{ /3"//t',.,: 8683 lb l1:do /b tAt i-l Tu, Belhuu€s,3. Pttf o t4: lb,{ ,rs/ 3S^ = {4,/ /':' IJJ t':/ = /:/ te Jt,t4 /,9 5t1 2A.a S e i,n ;c. x o. ti f51 0,0s rtsl L- O,// fsl /,U |,/ 2'? /fs/ RevisionNo. 0 Doc.No. V049-1439 Pase2 of 19 .A _AAD.EL ( re{ Dry. Yat?- Y-eoz) TAe- HAtl ll^iXe ? /ep,e,'4 l:'ey'e./ !,uas c rr:e:''..J €s, /aZ 7-l . l=.Je/ ksiaj Amnj A LatnTuter 7 d/' is S/oaa in F;jure 1. 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(9 th G (E rr c)N EOJ -=' ffi!run@rnDtr G oG F: RwisionNo. 0 Doc.No. V049-1439 Paeel? of l9 It at /7 €@ o'\ (\l €o\ Fl l? a u E O a, ilA o!J . - '-: Jr - Fr v)+, I 6 :r' E\- C) '.: n a u-\ LS +r E t-.- cao r- o tll r\ N ; q)|{)tr)lnvvvsvvo: e oooooooooo- aF) +++++++++++r' ot tl] LU hl ld l! td t! bt td td trJ IF q) !s c.t tf, co cD o\ v or lr) c) v1 a \OS(r,-r@c\lLf'tOrmrgO {, fd '- F{Fralqcolc|sfq-{c) cg th o (Er. q)Ne =q, ffi!rtn@nn!tr € oi, Ft RevisionNo. 0 Doc.No. V049-l'O39 Paeel8 of l9 lf a{'/7 \ €N 01u) €e N|Jr t +r o tr c)- *, E OJ +t a/, oct Br +t aD- Li o,' +, :- tr\J g)o- -{ 7) ,t 0t l-\ OJ ti v2 \ q, b r_-\ tU -- t ., a r.-_ qJE E N ; torntf)t,c}vvssvvo q ooooooclooclo a(a +++++++++++r- m ld tr] ttl td El td ld ld ld IrJ &J Itr 0o c.t (o ={ f., cl c\ s. \o 0o o v70 LOVC{-r\rOtCnC..d[nO !J l.l '- i{ d c{ t-{ Or C. rO q fr, -l O 0 (9A 6 EY: Kvle Martini DEPT-:744 PROJECT:LIGO VacuumEquipment PROJECTNO:V59049 PURPOSE:.Evaluate the horizontal 3sgs55 1n6du le (HAM) for bucklingmodes. METHOD: Finiteelement method and hand calculation. ASSUMPTIONS: Seeattached. INPUTS: LIGO projectdrawings and sketches. Shellthickness = 0.5in,60 in nozdethickness = 0.5in, head thickness = 0.375in Thicknessofother nozzles= 0.125in, saddlewear plate thickness = 0.75in, Thicknessofsaddle and stiffeners = 0.5 in. baseolatethickness = 1.0in REFERENCES:NASTRAN Finite Element Program y''1 Dae- lr, y'a'/t- /- a6 c I L/44 . /i qrt 't Jr^i/Jc., CALCULATIONS:(SEE ATTACHED) CONCLUSIONS:The minimum factor of safetyagainst elastic buckling for vacuumloading is3.58. NOTES: ( o.-t...t,.'.t F / | .? // 44 4 D. ,.,'a 2o/ { ssrnroy','-ns; 't ) at L.Z+!e rt Et{r- rha/err.) ' /€/ht..-,t S( i(l n"s: ai' /ess:' /r:.t /.r &' f.z1"',s-' /essule (Zl /o 4aite./h b | 17 / i+ter /e-37+ 2 /,t1/ ooo \ltrl'l { / J I P.+ {r,.,,/ <'l/ \^' al .ti;. -,'" t {l J S}"t { /, r. \-T'-r-7)- /tal; , ,; p;s< i:(-l( { i tlp /ar ba.t aT4 er \ft ) -t/ h zrT (d t, S-'//'i1ey', )a ,=1,i /zz''t a, Fr' 7t- = 9D7 fr, . 2, f?- /.' i.. y =..e/j /', i .- i ,y,s /' t12,2s 281/2"1 rS' a. 2-/b. / ls/ )'.. /,/,? /t, ? iTar D Po,, y'rs, y'o,/2- t - 0 e/ Q' z oE ., e C anTrl .A'," )'s i l. t ^ ) TJ. S4 46' le*t! 7 S / er/'! /'s Q hr 1!i".t ,+sj'r? ...'l'l-sTFAtt,, /,loX/tr, -/,le TA- s/el/ ,5 t, L/,,'ek !t/:/4 aycn',", ilt'/ Ll( 6o / i, ^e/e, lules' ooo 1/ tr5 jt.''+ ):tt' c' Tt,, 5/tta )2t ! 7 ? lC /hrtr !.-i i,: ,4 j:Jt.t;,\.n-' I /. . .l/iii''ai: rerr'L,t,"t :; '' i i i ,' '''.'. rrJ,,a.' j")"*'r ht??lc'!t't _1;,.' bY /r" t" ' ztt)a t-: /, T/- 5{ili+"": /I /'4a /t.'|,c i.'r'! th e/eled ( 3 /1o"r,s , .'l stptni+7 2/,! " 1' t,/ /./. /'" 17;c/:' Ae- L"','t;"-' e- / !/€Sso.t i ' (,,'/rr t {, A" r'r/ t4 //.1'r:'t ,^, /s f-!' ' '':' )i t.' ''! t .t '.., t'^ tt fi7' , li' / s .a727:,'ty':'it/ ia ..!,' 4/,a1 lla4 /ot-/ ' 141 /.c.p' ->."-'..', t -/p4 1i't ,' J /?...e:" / h, l4e !/ cS s .c' / -., t. T),'o lan 1 igtia / fa,,s ,t ,, :l 2, " --'t .'/ 'l- lu t L//",, ' /;.;,t'f, .:'/. j: -- t-'.- ; '> (-...' ."t y'ltat/ l=,Ea+, .l'*, 1, ,, 2- b4//au t ll, e ') I lrl/rr j1' ,] i' l?<,t o Qat, )Jo uAq' j-,/. A4/ F't o' l 11,:t; & 3,0, dlly:t'.",||t,r .'4/Pf I I rt.-'(,i ,QwtTsi: 4:'h $'!ar ic $:'1t59 ):'ty'; ftkte.,rc /^lc- lto!?- r-aJ? y'o, -he/* t fnr ar S. /.J- I ' br//,,t,': 3 ,{g 7 5ts r? ', /1 r,1 7t,'i - 3 ,07 ?,d I!ccooo ,./ lre/i.t.,..t !.t ).,c ;. ,., \.1, .:,.^ tAt 'J./ 'l Itt e Fr ! ,a /.' ,. t1J/STl .u I c' t/, * C bn//i"" .-','1v' lt,.t-r,s./. ttl( l;r., 1r,'. J Re,/, A Da c, rlo. y' 2 f'r - /' tt/l c/ P ,)F 6 ,T;, {at! !: l. : !Fr F:F IE f * Ii ! I : t n a zi : { I I a at I ri ) ' '-..''/:'.'' ,ln.' $p itrtr', i:".. ,"' ' I fi I R,zu D y'a'/f ' t- Dot, Nr P- t- az ( 6'tt B lzt- f- !- fq '( frh, lla/r/ R,tt o y'"/''/'Av/ Doc, /0o f , a on I ENGINEERING NO:Vo4?-t -dy3 CALCULATIONS _a.Q' Ff D HEAD/N'"_a!E DEStaN . jTp_n, HArl PROJECT: L,so PLOJECTNO: V'fQOac. tI .oF NESIGD Tt+6 REQUrftFqEuTs I\IETHOD: .c.Ot-iPr-r-S! S. s-3 eO i{ijJn:r..- p rlissdr}i- VEs.vj- \i j r:; wlr-d -&4> ASSUI{PTIONS: Si1 " INPUTS: j'Sri.J(upi{- Djt.:,:-r-, ,.lii,r]',:-r,( .1,g;: uzJC, i.i3. VC4i -r:--rs REFERENCES: pcC, NO. V649-pL-n-3 DO< No, (cv9- t- o6 6,, L /G 11 y'le.s.-,-.- .!c!,t.,-. !rzr-, l2;;r,.4 (,aqrt' CAIfULATIONS: (SEEATTACHED) CONCLUSrONS:g;u!A-/ ubaat_a c'l:SI6L) ts ttJ C6NtAAJ<1s:tr,iw ru FSFEf.qIIr REou,AEPtgfJI5 o'; D,a* Tusr n,/o4lt?/-'3 = 4 D.2{ /|r-,,t. f D:.r.i R,;t,.tt.t -_ri9 :. A-F.: :erFo REVO vod9-1473 Pege1of29 TZ.eua oF Coureurs PAGrA- L - Scop'a Z - D,a$reu gAir,;tuA a E. - l.io0e\-. 4- - Corr Pn-gs9 S,S3 - lr-,,"ur DlrA 6. - faf4Pn"raSS \5-,f,t3- OurFuf EII oao ai,,/'a\ REVO v049-r-073 Prge2 of29 l- SeoPE'. -li rnir Qulurnl Ti*a bo" Hxu Cove,a- ASne llEqu | tu:14 E^/TS 6*--Tr+a Noaar€- L, I I 5 t - Nozzur lsclrroni DArA' -Nr ll'8" 6,-o- - Nz f- - t,f.z6' @"_?6" - N3 G =t€.K' O't'27o" REVO v0{9-1473 P.ge3 of 29 FiD HEAo: 5Az.46 3o4L H,GH Noz+as (A.-\: 5A 246 €o4L lJre* = 14.itPsr occ . LoNC, Sr=trq X- R^l - Ssz+rau;S5 ,'. No X-l{Ay . Heeau/j.gu-- Searr X-ReY - Spof Pea U \r/ - ll (b) TlPa t . fD= 60.z.5' . Ci-owN INT-Ei?.'Na!Rr-o''.rg = oc.zS' . KNucKui \urei-rsAr- RAorr.rs4 3.?\t" . For\r,4r"rc' AuuovrAuce =o' . Sr,r-Arcour FuaUc4 - l' -Tfuc FoB- Noazl-eS: .ID = 1.€' (A..) -h*,qa6.ra . = .ZS" (n-.) ' .4r'.rau: O DrSf:\xrC,,€. f- t{t: 6,, o" li=E" ' N?,'. @r' Q5" G.' l.l, 75 ' \\3: @.:244o 6 rf.?o-' REVO v049-1.073 Prge4 of 29 .tr,- CoxPAEs-s*fl,t3 - O$Tpof Ounprrf For-. ao'Ftb He.aO /r.,Cr+rorwc,Noa=r.e5 I + ?- AA€ ArD(c.r+Eo 1 175,r,rFyC}HPJATJL; Ta ASnEE,tttz- EorncrrtJlxrc.r-r.rorNG A93 A,lo,=,uoA Nore : {r- 3 Avl,-vs,s,/REsuLls FoP- Noaal€ 'l-o ls syriH|i:rAr e,(L'-Y iO,=,,; ae,( i- rL FFF No**g, z. ooo REVO vM9-r-073 Prge5 of29 TABLE OF CONTEMTS Pressure Summary 1 Weight Sufiunary 2 Nozzle Suwnarv 5 Thickness Summary 4 6OU F&D HAMHEAD 5 N1-CENTER b N2.RIGHT 1q Tot.al Pages rn This ReporE 45 3.L2.L996 REVO v049-l-073 Prge6 of 29 Pressure Sunrnary Pressure sumnary for Irressure chamber 1 lxoz'r. I r I r^rp IHAF I p. luc-99 | oc3--{5 I sllrur I d..igd | | l.ar.rDltl rrtto I llDrrt |troPtlon or gt!.t. I tlJc-45) lld.E rr I tp.t) | tgttt 1 1p111 1 | Itl.g !t t.Cu.tloD I lln) | t-l 50. !.D xar,txlaD I I 0.0 | 61.2 | 67.2 | 20.6 | 1.000 | | 0.000 | nr x1-cBllrrR I or | 0. 0 | ?9.0 | 19.o I 15.5 | 1.O0O I I o,o0o I r: rr:-rrcsr I ok I o.o | ?e.o | 79.0 | 15,3 | 1.000 | | 0.000 | n3 N:-Lrrr I ok I o.o | ?e_o I r9.o I r5.l I r.000 | I o-oo0 | r_r_t_t_t_t_l Vessel MA!'IPhoE & corroded is 61 .2 psi @ 0 degrees F. Vessel MAP new &. cold is 67.2 psi @ 70 degrees F. Vessel allowable ext.ernal pressure is 15.31 psi @ 4OO degrees F. Hvdrotest. pressure calculation based on MAWP = 1.5* (MAWP+ OperaCing Liguid Head) *1 = 100.9 psi Vessel hydrotest pressure is 100.8 psi. Note: vessel MAP ratinq nots valid unless hydrotest pressure based on l,tAp. 3 .L2.L996 REVO v0{9-l-073 Prge7 of 29 weiqht Su[Enary compon.nr------r€igtr {lb.l coDr rlbur.d by v...cl al.o.nt. lt€ t.l l,l€t.l 1rlya P.cked tDBul !tninE t19ln9 lrdde r lln93 OP.! t.!t rroz!1. Nex Co!! I .up B.d. & Pllt & t{iic !.1q!1d ltqutd r f19 5Or lad nar h.! VesBel opcrrtin9 rEiEhr, co!.odE.t: 297 lbg v...er .npry relgtt, colloded: 297 7bt \'oalcl .spty eeight, r€ri 29t rb! v.3s€l teat. reighE, nef: 1,033 1b. vessel cent.er of qravity location (frqn rigbt weld seam) Vessel fift weight, new: 297 IbE eenter of gravity to seam: 7.5 in 3.12.L996 REVO v049-r-073 Pege8 of29 Nozzle Sumary OD (ln) {1n) (in) a!? a2? (1nt (1n) {1al tr) a.oo 0,25oo 0.1r?7 v 0.2500 0.1973 0.2500 0-0000 100,! 0.2500 o.ra27 v Y o.r5oo 0-19!7 o.r5oo 0.0000 t04.3 0,r500 0.112? 0.t500 o.l9!? o.a500 o- 0000 10a. a tn - nozzl-e t.hickness Req tn - nozzle Ehickness required per Ue-45l15 Nom t - vessel waI1 thickness Req E - required vessel wal-l thickness due to pressure + corr per User t. - local vessel $ralI thickness (near opeoing) Aa - area available per UG-3?, governing condit.ion Ar - area requi-red per UG-37, governing condiEion Corr - corrosion allowance on nozzle id. 3 -t2 -L996 REVO v049-r..073 Pegc9 of29 Ttrickness Surmnarv ID L.ngth lloh E cov.rnLng ( ln) (tnt ( ln) ! !016 St!t!. at!... 60. lld !!! h.!at 50. t5 0.2t00 o.rsoo o.a5 Nom t vessel waII t.hickness Req t required vessel wal1 thickness due Eo governing loading E-Iongitudinal seam joint efficiency Load: int.ernal circ sE.ress due Eo internal pressure governs external external pressure governs wind combined long st.ress due to STATUS+ wind governs seismic combined long stress due tso STATUS+ sej-smic governs 3 .12 .1996 REVO v049-l-073 Prgel0 of29 60" F&D HAM EEAD ASlt[B Sect.ion Vf rr Division 1. 1992 Edition. A93 Addenda Component: F&D head Mat.erial specification: SA 240 3O4t HIGH Corrosion allowance: Inner C = 0 Outer= 0 PWHTis not performed Radiography: Cat.egory A joints - Seamless NO X-Ray Head to shell seam - Spot IIw-11(b) type 1 EsE.imatedweightr nevr= 272.9 corr = 272.9 1b capacity: new = 88.89 corr = BB.B9 US ga rD = 60.25 crownL = 60.25 knuckle r = 3.75 t=.25 in (min) Straight. flange = 1 forminq allowance = 0 in MAP: (New & at 70 deg P) Appendix 1-4(d) Bq 3 P = 2*g*B*g/ (L*M + 0.2*t) -Ps = 2*16700*0.85*0 .25/ (50.25*1.752I + 0.2*0.25) - 0 = 67 .20225 psi- MA$IP: (Corroded & at 0 deg P) Appendix 1-4 (d) Bq 3 P = 2*S*E*E/ (f_,*t't + 0.2*t) - ps = 2*L5700*0.85*0.25/ (60.25*1.752I + 0.2*0.25) - 0 = 6 t .zVzl5 r)St A = .I25/ (Ro/t) = .Lza/ (bu.5/u.r5i = 0 .000517 From table I{A-3: B = 5004.1 Pa= B/ (Ro/t) = 5004.t/ (60.s/o.2s) = 20.5781psi Check the MaximumExternal- Pressure: Uc-33(a) (r) C .npp. 1-4 (d) pe= 2*s*E*t/ ((u*r,o- ts*(M_o -2)|*L.6?, = 2*L4700*7*O.25/((1.7521*50.5 - 0.25*(1 .152L-O.2))*1.5?) = 4L.51247 psj- The maximum allowable external pressure is 20.GZg1 psi. 3.L2.L995 R.EVO v049-t-073 PrgeI I of29 N1-ENSTER Ogening n1 Reinforcement ealculations Per UG-37 LocaE.ed on : 6OU F&D HAM HEAD User input vessel thickness: .25 in Liquid stalic head included: 0 psi FLange descript.ion: Not. i.nstalled Nozzle material specification: SA 240 3O4L HIGH Nozzle orientation: n dadraaa End of nozzle Eo datum line: 14.53 in Nozzle calculated as hillside: yes Projection ouEside vessel- Lpr: 3.527 in En -> corrosion a11ow = 0in <-d-> noz thick new En= .15 l-n tw1-> nozzle id. new d= / .5 l-n fil1et weld tw1 = .25 in qroove weld Ew2 = .1875 in -*, <- R -rl To head center R= I in Reinforcement Calculations For Nozzle MAWP Limits of reinforcement uc-40 Para11el Eo the vessel wa11 d = 7,561 in Normal to the vessel wa1l outside 2.5*(tn-Cn) + t.e = .625 1n Normal- Eo the vessel wal1 inside 2.5*(tn-Cn-C) = .625 in Determinat ion of Chord LengEh Thet.al = Arccos ( (Lo + Rn) /Rm) = Arccos ( (8 + 3 .75) /60.32135) = 18.76797 Theta2 = Arccos((f,o - Rn)/Rm) = ArcCos( (8 - 3 .15) /60.32135) = 8s.95029 d - 2*Rm*Sin((TheEa2 - TheEal)/2) = 2*60.32135*Sin ( (85.96029 - 78.16797' )/2) = 7.557 irL ItozzLe required thickness t11 = P*f,n/(Sn*E - 0.6*p) = 79 .06L4t*3 .75/ (t6700*1 - 0,5*79.05141) = 0.0178 in 3 -L2 -L996 REVO v049-l-07J Prgct2 of29 N1-CENTER Required thickness tr from Uc-37(al (1) t.r= P*L*M/(2"S*E - 0.2*P) = 79.06141*60.25*L/(2*15700*1 - 0 ,2*79.06141) = 0 .1,427in Area reguired Allowable stresses: Sn = L5700, Sv = 16700, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = lesser of 1 or Sn/Sv so fr2 =1 [ = d*gr*P + 2*Ln*!r*F* (1 - fr1) = 1.567*0.L427*l+ 2*0.25*0.!427*!*(1 - 1) = 1.0798 in^2 Area availa.ble Al- = larger of the foJ-J-owing = .812 in^2 d* (81*E-F*tr) - 2*!n* (81*t,-F*tr) * (1-fr1) 7 ,551*(1*0.25-1*0 .L4271 - 2*0.25r (1*0.25-1*0.!427' )* (L-r) .8]-2 i']^ 2 2* (t+tn) * (E1*t_F*tr) _ 2*t.n* (81*t_F*tr) * (1_fr1) 2* (0. 25+0.25) * (1*0. 25-1*0 .!427) - 2*O.25* (1*0. 25-1*0 .1-427)* (L-II . 107 in^2 A2= smaller of the following = O.29 in^2 q* /l- r.r - l- r.itl *fr?*t- 5* (0.25 - 0.0178)*l-*0.25 .29 in^2 5* (tn - trn) *;12*gtt 5* (0.25 - 0.0178)i1*0.25 .29 j-n^2 = Leg^2 * fr2 = O.25^2*7 = ,063 in^2 =A1 +A2 +441 0.812+0.29+0.063 1.165 in^2 As Area > A the reinforcement is adequate for MAWP= 79.OGL4I at 0 Deg F Reinforcernent check in the plane parallel to the long. axis Area required A = d*tsr*F + 2*En*tsr*F* (1 _ fr1) 3.L2.L996 REVO v049-t-071 P.gel3 of 29 N1-EENTER = 7.5*0 .L421*! + 2*0.25*0.L421*7* (1 - 1) = L.VIVI5 In 2 Area avail-able A1 = larger of the following = .805 in^2 = d* (E1*!_F*tr) _ 2*tn* (E1*t_Fitr) * (1_fr1) = 7.5* (1*0.25_1*0.]-427)_ 2*O.25*(1*0.25_1*0.7421)* (t-tl = .805 in^2 = 2* (E+tn)* (E1r't-F*tr) - 2*tn* (El*t-F*tr) * (1-fr1) = 2* (0.25+0.25) * (1*0. 25-1*0 .L427) - 2*O.25* (1*0. 25-1*0 .L427| * (L-1') = .107 in^2 Area = A1 + A2 + A41- = u - 6u5 + 0.29 + 0.063 = r. -L5at \fr 2 As Area > A Ehe reinforcement is adeguat.e for MAWP= 7g.OE:.4f at O Deg F eheck the welds - From ttw-15 {d) : tmin = lesser of 0,75 or tn or E, tmin = 0.25 in t1 or t2 (min) = lesser of 0.25 or 0.7*tmin, t1(min) = 0.175 in t1(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in t2 (actual) = 0.1875 in EL + E2 = 0.3625 >= 1.25*tmin The weld sizes for t1 and E2 are satisf act.ory. UG-45 Nozzle Neck Ttrickness eheck Wa1l Ehickness per UG-45(a) : tr1 = 0.0178 in (E = L) waII thickness per UG-a5(b) (1): Er2 = 0.t427 j,rL Wall t.hickness per UG-15(b) ; tr3 = 0.0625 in sEd pipe wa11 per UG-as(b) (4): tr4 = 0.28175 in The greater of tr2 or tr3: tsrS = 0.L427 in The lesser of Er4 or tr5: tr5 = 0.L427 j^rL Reqrd per UG-45 is the larger of tr1 or tr5 = 0.1427 in Awailab1e nozzl-e wal1 thickness new, tn = 0.25 in The nozzle neck t.hickness is adequaEe for MAWP. A]-lwable streaaes in joints tlc-45(c) and lrw-15(cl croove weld in tension = O.74*16700 = 12358 psi Nozzle wa1I in shear = 0.7*15700 = 11590 psi Inner fillet weld in shear = 0.49116700 = 8183 psi Strengrth of welded joints: 3 .12 -1996 REVO v049-l-073 Prgel4 of 29 N1-CENTER (1) Inner fi11et weld in shear (Pi/2) *Nozzle O.D. il,eg*Si = 1 . 5 7 * I * 0 . 2 5 * I 1 I 3 = 25694.62 lbf (3) Nozzle wa11 in shear (Pi/2) *Mean nozzle dia. *En*Sn = !.57*7 .75*0 .25*I!690 = 35559.52 lbf (4) Groove weld in tension (Pil2)*Nozzle O.D.*Ew*Sg = 1.57*8*0.1875*12358 = 29103.09 1bf Ioadinq on welds per UG-41(b) (1) lf = (A - (d - 2*tn)* (81*t - F*Er) )*Sv = (1.0798 - (7.567 - 2*0.25)*(1r0.25 - 1*0.1427))*15?00 = 5359.232 rbf W1-1= (A2+A5+A41 + A42)*5u' = (0.29 + 0 + 0.063 + 0)*15700 =. 589s.1 1bf W2-2 = (A2 + A3 + A4l- + A43 + 2*tn*E*fr1) *Sv = {0.29 + 0 + 0.063 + 0 + 2*0 .25*O.25*3.)*16700 = 7982.6 lbf Load for paEh 1-1 lesser of W or W1-1 = 5369.232 lbf Path 1-l- Thru (1) & (3) = 25694.62 + 35559.52 = 67254.14 lbf Path 1-1 is stronger than 9{ so iE is acceptable per UG-41-(b) (2). Load for paEh 2-2 Lesser of W or vl2-2 = 5369.232 lbf Path 2-2 Thr'u (1), (4) = 25694.62 + 29rO3.O9 = 54791,7L lbf Path 2-2 is stronger than w so iE is acceptable per UG-41(b) (2). Reinforcement Calculations For llozzle MAP Limits of reinforcenent UG-40 Paralle] to the vessel. wall d = 7.567 in Norma1 to the vessel waIl outside 2.5*(in-Cn) + t.e = .525 in Normal to lhe vessel wall inside 2.5* (tn-Cn-C) = .525 in DeterRinat ion of Grord Length 'I'heEa1 = Arccos ( (Lo + Rn) /Rm) = ArcCos( (8 + 3 .751/60.32135) = 78.76?97 lheta2 = ArcCos ( (r,o - Rn) /Rm) = Arccos ( (8 - 3 .7s) /60.32135) = 8s.96029 d = !*p6*g1n( (Theca2 - Theta1),/2) = 2*5O.32135*Sin((85.9G029 - 78.76797,/2) = 7 -567 in 3.12 _1996 REVO vu9-l-073 Prgel5 of 29 N1-CBNTER Nozzle reouired thickness trn = P*Rn/(Sn"B - 0.6*p) = 19 .06747*3.75/ (!6700*1 - 0.6*79.06141) = 0.0178 in Required thickness tr from ttc-32(a) (1) tr= P*1,*1,,17(2*S*E - 0 .2*P) = 79.051-41*60.2s*L/ (2*16700*1 - O.2*79.05141) = O.!427 in Area required A11owab1e sEresses: Sn = 16700, Sv = 15799, psi fr1 = lesser of 1or Sn/Sw so frl =1 fr2. = Lesser of 1 or Sn/Sv so fr2 =1 A = d*tr*F + z*Cn*Er*F* (1 - frl_) = 7,567*0.1427*L + 2 * 0 . 25 * 0 .]-427* !* (1 _ 1) = 1.0798 in^2 Area available A1 = larger of the fo1l0wing = .8r2 j-,n^2 = dr (81*E.-F*tr) - 2*tn* (E1*t._F*tr) * (1_fr1) = 7.557*(1*0 .25-1*0 .L427) - 2*0.25*(1*0.25_1*0.1427)*(1_1) = .8t2 irL^ 2 = 2* (t.+tn)* (81*t_F*tr) _ 2*tn* (E1*E_F*t.r)* (1_fr1) = 2* (O.25+O.25)* (110.25-l-*0.L4271- 2*O.25*(1*0.25-1*0.L427r* (L-L) = . L07 in^2 A2 = small-er of the following = 0.29 in^2 = 5* (tn - trn) *fr2*t = 5* (0.25 - O.0128)*1*9.25 = .29 i-n^2 = 5* (tn - trn) *fr2*tn = 5* (0.25 - 0.0178)*1*9.25 = ,29 Inz A41 = Leg^2*fr2 = O.25^2*I = .0G3 in^2 Area = A1 +A2 +A41 = 0.812 + O.29 + 0.063 = 1.155 in^2 As Area > A t.he reinforcement is adequate for MAp = 79.06141 at ?O Deg F 3.L2 -L996 REVO v049-1-t)73 Prge 16of 29 N1-EHTTBR Area required A = d*tr*F + 2*tn*!r*F* (1 _ fr1) = 7.5*0.!42?*r + 2*0.25*0_]-42717_* (1 _ 1) = )..07025 !n^ 2 Area available A1 = larger of the following = .805 in^2 = d* (81*t-F*tr) _ 2*tn* (E1*t_F*E.r)r (1_fr1) = 7.5* (1*0.25-1*0.1421)- 2*0.25',(1*0.25-1*0 -1427)* (a-I) = .805 in^2 = 2* (t+tn) * (81*ts_F*tr) _ 2*tn* (81*t._F*t.r)* (1_fr1) =.2* (0.25+0.25) * (1*0.25-1*O.L427) _ 2*O.25*(1*0. 25_1*0. 142?) * (1_1) = .107 in^2 Area = A1 +A2 +A41 = 0.805 + O.29+ 0.053 = 1.158 in^2 As Area > A the reinforcement is adequate for MAP= 79.05141 at 70 Deg F Check the welds - From lrw-16 (d) : tmin = lesser of 0.75 or En or t, tmi.n = 0.25 in t1 or tz(min) = lesser of 0.25 or o.7*Emin, t1 (min) = 0.1?5 in t1(actsual)= 0.7*Leg = 0.7*0.25 = 0.175 in t2 (acEua1)= 0.1875 in t1 + t,2 = 0.3625 >= 1.25*tmin The weld sizes for t1 and t2 are sat.isfactory. IIG-45 Nozzle Neck Ttrickness Check Wall thickness per UG-45(a): Er1 = 0.0178 in (E = 1) Wall thickness per UG-aS(b) (1) : tr2 = 0 .1427 irl wall thickness per uc-15(b): rr3 = 0.0625 in Std pipe wall per UG-as(b)(a) : tr4 = 0.28175 in The great.er of tr2 or t.r3 : tr5 = 0 .1427 in The lesser of Er4 or tr5 i tr6 = 0 .]-427 irL Reqid per UG-45 is the larger of tr1 or tr6 = 0.142? in Available rrozz]-e wall thickness ner.r, tn = 0.25 in Ttre nozzle neck thickness is adequate for MAp. Allowable st.resses in ioints tlc-45(c) and ltw-1s(c) 3-12.1996 REVO v0.t9-t-073 Prgel7 ol29 N1-CENTER Groove weld in tension = Q.74*]-5700 = 12358 psi Nozzle wall in shear = 0.7*16700 = 11590 psi Inner fiIlet. weld in shear = 0.49*16700 = 8183 psi Strength of welded j oints: (1) Inner fillet weld in shear (Pi/2)*Nozzle O.D.*Leg*Si = 1.57r8*0.25*8183 = 25694.62 ]-bf (3) Nozzle wa11 in shear (Pil2)*Mean 'jLozz]-edia. itn*Sn = 1.57*7 .75*O .25*]-L690 = 35559.52 lbf (4) Groowe weld in tension (Pi/2) *Nozzle O.D.*tw*Sg = 1.57*8*0.18?5*12358 = 29103.09 lbf Loading on welds per UG-41(b) (1) W = (A - (d - 2*tn) * (E1*8.- F*tr) )*Sv = (1.0798 - (7.567 - 2*0.25)*(1*0.25 - 7*0.L427\)*15700 = 5369.232 Lbf W1-1=(A2+A5+A41 + A42)*Sv = (0.29 + 0 + 0 .053 + 0)t16700 = 5895.1 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*t,n*t*f r1)*Sv = 10.29 + 0 + 0.053 + 0 + 2*0.25*0.25*1)*15700 = 79A2.5 1bf Load for path 1-1 lesser of W or W1-1 = 5369.232 lbf Path 1-1 Thru (1) o (3) = 25694.52 + 35559.52 = 61-254.14 1bf Pach 1-1- is st.ronger Ehan w so it is acceptable per UG-41(b) (2). Load for paEh 2-2 lesser of I{ or W2-2 = 5359,232 Lbf Path 2-2 Thru (1), @\ = 25694.62 + 29]-03.09 = 54797.71 lbf Pa|',}j.2-2 is st.ronger Ehan w so it is acceptable per UG-41(b) (2). Reinforcement Calculations for External Pressure Limits of reinforcement IIG-4O Parallel t.o the vessel wa}l d = 7.567 in Norma] Eo the vessel wal1 outside 2.5* (tn-Cn) + te = .525 in Normal to the vessel wa1I inside 2.5* (tn-Cn-C) = .525 in Determinat ion of Clrord L.enqth TheE.al = Arccos ( (Lo + pll1 /Rm) = ArcCos( (8 + 3 .75) /60.34865) = 78.773!2 Theta2 = Arccos ( (f,o - nn) /Rm) = Arccos ( (8 - 3 .75) /60.34865) 3-a2-1996 REVO v049-t-073 Pegel8 of29 N1-EBI|TBR = 85.9521 2 d = 2*Rm*sin((TheEaz _ Theral)/2) = 2*50.34855*Sin ( (85.96272 - 78 .77372')/2) = /.5b/ Ln lilozzle required thickness LlDo=3.527/8=.4409 Do/t = 8/0.01981 = 403.8364 From t.able G : A = 0.000383 From Eable !IA- 3 : B = 4746.9 Pa= 4*B/ (3*Dolt ) = 4*4746.9/ (3*8/0.01981) = 15.5227psi Nozzle reguired thickness trn = .01981 in Reguired tshickness tr from Uc-3?(d) (1) = .19?3 in Area reouired Allowable stresses: Sn = 14700, Sv = 14?00, psi fr1 = 1sss6r of 1 or Sn/Sv so fr1 =1 frz = Lesser of 1 or Sn/Sv so fr2 =1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 _ fr1)) = 0.5* (7.557*0.1973*1, + 2*0.25*0.!973*L*(1 _ 1) ) = . /+b5 l-n I Area available A1 = larger of the following = .399 in^2 d* (E1*E-F*tr) - 2rtn* (E1*t-F*t'r) * (1-fr1) 7.567* (1*0.25-1*0.1973) - 2*O.25*(1*0.25-1*0.1973)* (1-1) .399 in^2 2* (t+tn) * (81*E-F*!r) - 2*t.n* (E1*t-F*tr) * (1-fr1) 2* (0.25+0.25)* (L*0.25-1*0.1973) .- 2*O.25*(1*0.25-1*0. 1973) * (1-1) ,053 in^2 A2 = small-er of E.he following = 0.288 in^2 = 5* (Ln - trn) *fr2*t - 5* (0.25 - O.01981)*1*0.25 = .288 in^2 = 5* (tn - trn) *fr2*tn = 5* (0.25 - O.01981)*1*0.25 = .288 in^2 REVO 3 -L2 -L996 v049-I4?3 PrSc19 of29 Nl-CEIi|:IBR 441 = Lsg^2*1r2 = 0.25^2*L = .063 in^2 Area = A1 +A2 +A41 = 0.399 + 0.288 + 0.063 = .r) Ln 2 As Area > A the reinforcement is adequaEe for Pe = 15.58935 at 4oo Deg F neinforcement. check in the olane oarallel to the lono- axis Area required A = 0.5*(d*tr*F + 2*tsn*tr*F*(1 - fr1)) = 0 .5 * (7 .5 * 0 .1 9 7 3 r 1 + 210.25*O.1973*1* (1 - 1)) = .739875 in^ 2 Area awailable A1 = farger of the following = .395 in^2 d* (81*t-F*tr) - 2*En* (81*t-Frtr) * (1-fr1) 7 . 5* (1 * 0 .2 5 - 1* 0 . 19 7 3 ) - 2*0 .25* (L * 0 .2 5 - 1* 0 . 19 7 3 ) * (1-1) .395 in^2 2* (t+En)* (E1*t-F*!r) - 2*t.n* (E1*t-F*E.r)* (1-fr1) 2*(0.25+0.25)*(1*0.25-1*0.1973)- 2*0.25*( 1 * 0 .2 5 - 1* 0 .1 9 7 3 ) * (1 - 1) . 053 in^2 Area = .A1 + A2 + A41 = 0.395+ 0.288+ 0.053 = .7 46 j-':^z As Area > A E.hereinforcement is adequate for pe = 15.58935 at. 400 Deg F ItG-45 Nozzle Neck Ttrickness Ctreck Wa1I thickness per Uc-45 (a) : tr1 = 0.01981 in (E = 1) WaII thickness per UG-45(b) (2): tr2 = 0.032 in Wal1 thickness per UG-15(b) : rr3 = 0.0625 in Std pipe wall per UG-45(b) (4) ! t'r4 = 0.28175 in The great.er of tr2 or tr3: tr5 = 0.0625 in Ttre lesser of Et4 or !r5: tsr6 = 0.0625 in Reqrd per UG-45 is the larger of tr1 or tr5 = 0.0525 in Available nozzLe wa1I thickness new, tn = 0.25 in Ttre nozzle neck thickness is adecruate for Pe. REVO v049-l{t73 Frgc20 of29 N2-RIGIfT Opening n2 Reinforcement Calculations Per UG-37 Located on: 60" F&D HAMHEAD User input vessel thickness: .25 in Liquid static head included: 0 psi Flange description: Nots installed Nozzle material specification: SA 240 3041,HIGH NozzLe orienEation: 90 deqrees End of nozzle Eo daEumline: 14.53 in Nozz1e calculated as hillside: yes Projection out.side vessel Lpr: 5,082 in cn -> corrosion aIlow = 0in <-d-> noz thick.new tn= .25 in tw1-> nozzle id. new d= 7.5 in fi1leE weld trql = ,25 in groove weld tw2 = . 1875 i.n *, <- R ->l To head center R= 15.75 in Reinforcement Calculations For Nozzle MAtiIp Limit's of reinforcement UG-40 ParalLel to the vesseL wall d = 7.777 in NormaL to the vessel waIl out.side 2.5* (tn-Cn) + te = .625 NormaL Eo the vessel wa1l inside 2.5* (E.n-Cn-C) = .525 in Determination of Chord Lenqtsh Thetal = Arccos ( (Lo + nn) /Rm) = Arccos( (15.75 + 3.75) /60.32135) = 71.13968 TheEa2 = Arccos ( (Lo - P.n)/Rm) = Arccos ( (15 .75 - 3 .75) / 60 .32135) = 78.52575 d = 2*Rmrsin( (Thetsa2 - Theral)/2) = 2*60.32135*Sin( (78.52576 - 7L.13969)/Z') = '7.11L in llozzle recuired thickness trn = P*Rn/(Sn*E - 0.6*P) = 79.06!4L*3.75/ (]-5100*1 - 0.6*19.0614!) = 0.0178 in 3-12-1995 REVO v0{9-l-1173 Prge2l of 29 N2-RIGItr Reouired thickness tr frorn Uc-32(a) (1) tr= P*L*M/ (2*SrE - 0.2*P) = 79.06141-*60 .25*I/ (2*16700*1 - 0.2*79.05141) = 0.1427 in Area required Allowable stresses: Sn = 16?00, Sv = 15700, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = lggsgr of 1 or Sn/Sv so fr2 =1 A _ d*Er*F + z*tn*tr*F* (1 _ fr1) = 7.777*0.7427*L + 2*0.25*0.!427*L* (l_ _ 1) = 1.1089 in^2 Area. availalcle A1 = lsrgga of the following = .834 in^2 = d* (El,*t.-F*tr) - 2*tn* (81*t-F*tr) * (1-f11) = 7 .77L*(1't0.25-1*0 . L427') - 2*0.25* (1* 0 .25-1* 0.142? ) * (1-1) = .834 in^ 2 = 2* (t+tn) * (81*t_Frtr) _ .2*cn* (E1*E._F*t.r)* (1_fr1) = 2* (0.25+0.25) * (1*0.25_1r0.a427\ _ 2*O.25*(1*0.25_1*0.1427) * (1_1) = .107 in^ 2 A2 = smaller of the following = 0.29 in^2 = 5* (tn - !rn) *fr2*t = 5r (0.25 - O.0178)*1*0.25 = ,Zi ]-IL 2 = 5* (tn - trn) *fr2*tn = 5* (0.25 - 0.0178)*1*0.25 = .29 in^2 A41 = Leg^ 2 * fr2 = 0.25^2*1 = .053 in^2 Area = A1 +A2 +A41 = 0.834 + Q,29 + 0.063 = 1.187 in^2 As Area > A Ehe reinforcement is adequaEe for MAWp = ?9.0G141 at O Deg Area reguired A = d*Er*F + 2*tn*tr*F* (1 _ fr1) REVO 3.L2.1996 vu9-t-073 Pagc22 oI29 N2-RIGHT = 7.5*0.I427*L + 2*0,25*O.1421*!*(1 _ 1) = 1 .07025 1n^2 Area available A1 = larger of Ehe foll0wing = .805 in^2 = d* (E1*C-F*tr) - 2rtn* (81*t-FrCr) i (1-fr1) = ?.5* (1*0.25-1*0.]-427) - 2*O.25*(1*0.25-1*0.1421)* (]--I, = .805 in^2 = 2* (t+tn) * (E1*t-F*Er) - 2*tn* (E1*E-F*E.r)* (1-frl) = 2* (0 .25+O.251 * (1*0 .25-L*O .L421) - 2*O.25* (1*0 .25-1*0 .]-427) * (]--]-). = .107 in^2 Area = A1 +A2 +A41 = 0.805 + 0.29 + 0.063 = 1.158 in^2 As Area > A the reinforcement is adequate for MAWP= 79.06I4J. at 0 Deg F Check the welds - From UW-15(d): tmin = l-esser of 0.75 or En or t., tmin = 0.25 in tl or t'2 (min) = lesser of 0.25 or o.7*tmin, t1(min) = 0.1?5 in tl.(act.ual) = 0.7*IJeg = 0.7*0.25 = 0.175 in E2(actual) = 0.1875 in t1 + t2 = 0.3625 >= 1.25*tmin The weld sizes for t1 and E2 are satisfactorv. UG-45 Nozzle Neck Ttrickness Oreck Wall thickness per UG-45(a) : tr1 = 0.0178 in (E = 1) waII thickness per UG-a5(b) (1) : tr2 = 0 -1427 Ln waI1 thickness per UG-15(b) : tr3 = 0.0625 in Std pipe wa11 per Uc-45(b) ( ) : Er4 = 0 .28L75 ln The greater of tr2 or tr3: tr5 = 0 .1427 ln The lesser of t.r4 or tr5: tr6 = 0 .1421 in Req'd per UG-45 is Ehe larger of Er1 or Er6 = 0.1427 in Available nozzle wa1I lhickness new, tn = 0.25 in The nozzle neck thickness is adequate for IIAWP, Al]-owable stresses in joints Uc-45(c) and UYf-15(c) Groove weld in tension = 0.14*7-6700 = 12358 psi Nozzle wa11 in shear = O.7*L67O0= 11690 psi Inner fil1eE. weld in shear = 0,49*15700 = 8183 psi Strength of welded joints: REVO 3.12.1996 v049-t-07! Prge23 ot 29 N2 -RIGI.TT (1) Inner fiIlets weld in ahear (Pi/2\ *Nozzl-eO.D. *L,eg*Si = 1 . 5? * I * 0 . 25 * I 1I 3 = 25694.52 lbf (3) Nozzle r^rall in shear (Pil21*y"-tt nozzle dia. *tn*Sn = L.57*7.75*0.25*11690= 35559.52tDr (4) Groove weld in tension (P!/21*11o"r1e O,D.*Ew*Sg = 1.57*8*0.1875*12358= 29103.09lbf Ioadinq on welds Der UG-41(b) (11 w = (a - (d - 2*E.n)* (El-*E.- F*tr1 1*g.t = (1.1089- (7.77L - 2*O.25)*(1*0.25 - 1-*0.L427))*15?00 = 5489.652 Lbf W1-1= (A2+A5+A41 + A42)*Sv = (0.29 + 0 + 0.063 + 0)*16700 = 589s.1 lbf W2-2 -- (A2 + A3 + A41 + A43 + z*t'n*t*fr1)*Sv = @.29 + 0 + 0.053 + 0 + 2* 0 .2 5 '! O . 2 5 * 1) * 16 7 O O = 7982.5 lbf Load for path 1-1 lesser of W or W1-1 = 5489,G52 lbf Path 1-1 Thru (1) c (3) = 25694.62 + 35559.52 = 61-254.14Ibf Path 1-1 is stronger tshan W so it is acceptable per UG-a1(b) (2) Load for path 2-2 lesser of W or W2-2 = 5499.G521bf PaEh2-2 Thru (1), G) = 25694.G2+ 29103.o9-_ s4797.71lbf PaEh 2-2 is sEronger than W so it is accepE.able per UG-41(b) (2) Reinforcement Catculations For Nozzle MAp Limits of reinforcenent ltc-40 Paral1el Eo Lhe vessel waII d = 7.77I in Normal to tshe vessel wa1l ouEside 2.5* (tn-Cn) + te = .G25 in Normal- t.o the vessel waI1 inside 2.5* (En-Cn-C) = .625 in Det.erminat,ion of C'lrord tength Thetal = Arccos((L,o + Rn)/Rm) = Arccos( (15.25 + 3.75)/60 .32].3s) = ,I . tJyoEl T'hetsa2= Arccos ( (Lo - Rn) /Rm) = ArcCos( (15.?5 - 3.25) /60.32L35') = t o .2za tb d = 2*Rm*Sin((Theta2 - TheEal)/2) = 2*50.32L35*Sin( (78.s2576 - 7L.L3958)/2) = 7.77I in 3.L2.t996 REVO v049-r-073 Pagc24 of29 N2 -RIGI{T Nozzle reouired thickness trlr = P*Rn/(Sn*E - 0.6*P) = 79.06141*3.75/ (L6700*1 - O.6*79.O5r4r') = 0.0178 in Required thickness t.r from ltc-32(a) (1) tr= P*L*M/(2*s*E - 0.2*P) = 79.05L41*60.25*I/(2*15700*1- O,2*79.06141) = V.I+Z I ln Area required Allowable st.resses: Sn = 15700, Sv = 16200, psi fr1 = fesser of 1or Sn/Sv so fr1 =1 fr2 = Lesser of 1or Sn/Sv so fr2 =1 A = drtr*F + 2*tsn*tr*F* (1 _ fr].) = 7 ,771*0.I427t1! + 2r,0.25*0.!427*!* (1 _ 1) = 1.1089 in^2 Area awailable A1 = larger of Lhe following = .834 in^2 = d* (81*t.-F*tr) - 2*g1* (E1*t_F*t.r) * (1_fr1) = 7.777*(1*0.25-1*0.1421) - 2*0.25*(1*0.25_1*0.1427)*(1_1) = .834 in^2 = 2* (t+tn) * (E1*E_F*tr) _ 2*t.n* (E1*t_F*E,r)* (1_fr1) = 2* (0.25+0.25)* (1*0.25-1-*0.1421)- 2*O.25*(1*0.25-1*0.L421)* (1-11 = .107 in^2 A2 = sm211sr of the foll0wing = Q.29 j-.n^2 = 5* (tn - trn) *frz*t = 5* (0.25 - 0.0178)*t *0.25 = .29 in^2 = 5* (t.n - trn) *fr2*tn = 5*(0.25 - 0.0178)+1*0.25 = .29 j-yr^z A41 = Leg^2*fr2 = o.25^2*r = .063 in^2 Area = A1 +A2 +A41 = 0.834 + O.29 + 0.063 = 1.187 in^2 As Area > A Ehe reinforcement is adequate for MAp = 79.0G141 at ?O Deg 3.L2.L996 REVO v049-t-073 Prge25 of29 N2-RIGHT Reinforcement check in the plane parallel to the lonq - axis Area required A = dr.t1tP + 2*!n*tr*F* (1 - fr1) = 7.5*0 .1427*! + 2*O.25*O .7427*1_* (1 _ 1) = 1.07025 in^2 Area available A1 = larger of t.he following = .805 in^2 = d* (E1rt-F*tr) - 2*En* (81*t_F*tr) * (1_fr].) '7.5* = (1*0.25-1*0.]-427) - 2*0 -25*(1*0.25-1*O .7427)* ,1-t) = .805 in^2 = 2* (t+tn) * (E1*ts-Fttr) - 2*tnr (El-*E.-F*t.r)* (1-f 11) = 2r (0.25+0.25) * (1*0.25-1*O,L427t,- 2* O.2S*(1*0.25-1*0.1422) * (L-1) = . L07 in^2 Area = A1 +A2 +A41 = 0.805 + Q,29 + 0.053 = r. J_5d l-n z As Area > A the reinforcement is adequate for MAp = 79 .06L4:. at ?O Deg Check the welds - prom Utf-].6 (d) : tmin = lesser of 0.75 or tn or t., tmin = 0.25 in t1 or t2 (min) = lesser of 0.25 or o.7*tmin, C1(nin) = 0.125 in f1 (acEuaL) = 0.7*Leg = 0,?*0.25 = 0.1?5 in C2(actual- ) = 0.1875 in E1-+ E2 = 0.3625 >= 1.25*tmin The weld sizes for t1 and t.2 are sat.isfactory. ItrG-45 Nozzle l,Ieck 1hickness Ctreck Wall- E.hickness per UG-45(a) : tr1 = 0.0178 in (E = 1) WaII thickness per UG-45(b) (1) : Er2 = 0.L427 in wall thickness per UG-16(b): rr3 = 0.0625 in std pipe wa1l per UG-45(b) (a): tr4 = 0,28175 in The greater of Er2 or tr3: tr5 = 0 .1427 in The lesser of E.r4 or tr5: tr5 = 0 .1427 in Reqrd per UG-45 is t.he larger of tr1 or tr6 = 0.1427 in Availab1e nozzle wall thickness ner.r, tn = 0.25 in The nozzle neck t.hickness is adequate for MAp. Allowable stresses in ioints UG-45(c) and ltw-15(c) 3.L2.L996 REVO v049-t -073 Prgc26 of29 N2-RIGITT Groove weld in tension = O,14*L6700 = 12359 psi Nozzle wa1I in shear = 0.7*16Z00 = 11690 psi Inner filIet weld in shear = 0.49*16700 = 8183 osi Strenqth of welded joints: (1) Inner fiIlet weld in shear (Pi/2)*Nozzle O.D.rl.,eg*Si = 1.57*8*0.25*8183 = 25694,G2 ],bf (3) Nozzle wall in shear *Mean (Pi,/2 ) rrozzle dia. *E.n*Sn = I.57*7. 25*O.25*11G90 = 35559 .52 l-Df (4) Groove weld in tension (Pi/2) *Nozzle O.D.*tr,r*Sg = 1.57*8*O.;-875*;-2358 = 29103.09 lbf Loading on welds per ue-41 (b) {1) W =. (A - (d - 2*En)* (E1*t - F*tr) )*Sv = (1.1089 - (?.77r _ 2*0.25)*(1*0.25 _ r*0.1427)) *16?00 = 5489.652 lbf w1-1 = (A2 + A5 + A4l- + A42) *gy = (0.29 + 0 + 0.063 + 0)*15700 = 5895.1 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*E.n*t*f r1)*Sv = (0.29 + 0 + 0.063 + 0 + 2*0.25*0.25*1)*1G7OO = 7982.6 1bf Load for path l--1 Lesser of W or W1-L = 5489.G52 lbf Path 1-1 Thru (1) & (3) = 25694.52 + 35559.52 = 51254.14 1bf Path 1-1 is stronger than w so it is acceptable per ue-41(b) (2) Load for path 2-2 lesser of W or W2-2 = 5499.652 lbf PaEh 2-2 Thru (1), (+) = 25594.62 + 29103.09 = 54797.71 1bf PaEh 2-2 j.s stronger Ehan W so it is acceptable per UG-+1(b) (2) Reinforcement Calculations for External pressure Limits of reinforcement ltrG-4o Parallel to the vessel wall d = 7.77 in Normal to the vessel- wa1l ouE.side 2.5* (tn-Cn) + t€ = .625 in Norma1 to the vessel wall inside 2.S* (tn-Cn-C) = .G25 in Determination of Chord Lengtsh Ttretal = Arccos ( (Lo + Rn) /Rm) = Arccos ( (15.25 + 3 . ?5) /80 .34695) = 77.74195 Thet.a2 = Arccos ( (Lo - Rn) /Rm) = ArcCos( (15,75 - 3.25)/60.34655l, 3 - 12 . 1995 RDVO v049-t-073 Prge27 ot 29 N2-RTGI{T = 78.53069 d = 2*Rm*Sin( (Ther.a2 - Theral)/2) = 2*50.3468s*sin((78.53059 - 7t.I47gsl/2) = 7.77 ln Nozzle reduired thickness L/Do = 5.O82/e = .5352 Do/t = 8/O.O220s= 362.8118 From table c: A = 0.000317 From table I{A-3: B = 4L94,4 Pa= 4*B/ (3 *Dolt ) = 4*4L94.4/ (3*8 / O.O220s) = 15.4L44psi Nozzle required thickness trn = .02205 in Required thickness tr from UG-37(d) (1) = .1937 in Area recnrired Allowable stresses: Sn = f47O0, Sv = 14700, psi fr1 = l-esser of 1or Sn/Sv so fr1 =1 fr2 = lesser of 1 or Sn/Sv so fr2 =1 A = 0.5*(d*Er*F + 2*tn*Er*F*(1 _ fr1)) = 0.5*(?,77*0.193?*1 + 2* 0 . 2 5 * 0 .L 9 3 7 * 1* (1 - 1)) = .7525 in^2 Area available A1 = larger of Che following = .437 in^2 = d* (81*E_F*tr) _ 2*tn* (E1*t_FrEr) r (1_fr1) -- 7 ,77* (1 * 0 . 25 - 1* 0 . 19 3 7 ) - 2*0 .25* (1 * 0 . 25 - 1* 0 . 19 3 7 ) * (l_- 1) = .437 in^2 = 2* (E+t.n)* (E1*E-F*tsr) - 2*tn* (E1it_Frtr) * (1-frl) = 2* (O.25+0.25)* (1*0.25-1*0.1937) - 2*O.25*(1*0.25-1*0.193?)*(1-1) = .055 in^2 A2 = smaller of the foJ-lowing = 0.285 in^2 - 5t (t.n - trn) *ft2*E = 5* (0.25 - O.02205)*1i0.25 = .285 i-n^ 2 = 5* (tn - Ern) *fr2*tn = 5*(0.25 - O.02205'*1*0.25 = .285 in^2 3 -L2.L996 REVO vu9-t.073 Pzge28 of 29 N2-RIGIIT A4\ = Leg^ 2* fr2 = 0.25'2*1 = .063 in^2 Area = A1 +A2 +A41 = Q.437 + 0.285 + 0.063 = .785 in^Z As Area > A the reinforcement is adequate for pe = 15.31362 at 4OO Deg F Reinforcenent. check in the plane parallel to the lonq. axis Area reouired A = 0.5*(d*Er*F + 2*En*Er*F*(1 _ fr1)) = 0.5r(7.5*0.1937*1+ 2*0.25*0.1937*I*(1 _ 1)) = .726375 ir.^2 Area available A1 = Iarger of t.he following = .422 !n^2 = d* (E1*t-F*tr) - 2*En* (E1*t_F*tr) * (1_fr1) = 7 .5* (1 * 0 .2 5 - 1'r 0 . 19 3 7 ) - 2*O-25* (1 * O, 2 5 - 1* O. 19 3 7 ) * (1_1) = .422 in^ 2 = 2* (E+tn)* (E1*t-F*tr) - 2*tn* (E1'rt-F*t.r)* (l_-fr1) = 2* (0.25+O.25)* (1 * 0 .2 5 - 1* 0 . 19 3 7 ) - 2*O.25*(1*O ,25 -1*O .1937 ) * (1- 1) = .056 in^2 Area = A1 +A2 +A41 = 0.422 + 0.285 + 0.053 = .77 j-n^2 As Area > A the reinforcement is adequate for pe = 15.31362 at 400 Deg F UG-45 NozzLe t{eck Thickness C.heck WaI] thickness per UG-45(a): tr1 = 0.02205 in (E = 1) WalI thickness per UG-45(b) (2): tr2 = 0.0314 in Wall thickness per Ue-16(b): E.r3 = 0.0625 in SE.dpipe vrall per UG-45 (b) (4) : tr4 = 0.281?5 in The greater of tr2 or E.r3: tr5 = 0.0G25 in The lesser of tr4 or t.r5: tsr6 = 0.0G25 in Reqid per Uc-45 is the larger of tr1 or tr6 = 0.0625 in Awailable nozz]-e waIl thickness new, tn = 0.25 in The nozzle neck thickness is adequate for pe. REVO 3.L2.L996 v049-t_073 Prge29 of29 ENGINEERINC NO:Vo41-/- df CALCULATIONS ll F+rllllllllllllllll .--ij€,4'D / N1eZt'-: /)a".: /r-L) I r+Al'1 PROJECT: Ll Go PROJECTNO:V.t9o49 NBES.E: ,@rJArre-1 THE- DqSrGr\J ol= Lt=Qot\Et|tt:rJTS I\IETHOD: .QoHpr-ESS s-,S-3 CoHpJr/=r! PAEss uar{ vESS€g ScF.n^/6tu: SEg C4Lc-> REFERENCES:Qoc, No, \/o49-lJr-j13 F\^lG. IYO, Vo4l -4 -d4o (i:r':" -9r,t,'r- '"tt 4 fi.zgt,;'l '+ Doe_No y'avr-/-Dda L /4 a t/.a € J..,rr F Crtr,, CALCULATIONS: (SEEATTACHED) Cd4J./<)di'lANcE- wtTH Doc No. Va9-l-07{ Pr!. I or38 TEerE oc CouEUrs Pac,e- gcoPE \3 t, - l -? ?-. - DEstco CAti-=l-r '( '. 3. - Hoosr- 4- - CovPru=ss \f.53 - lrrtrur Dara 4 t.f. - CotlP(ESS \s. f,3 - 6g;FuF .t- s8 ooo l- scoPe: GuAurpy Ti+€ 6i4" HnH Covrra-la 4.5$-tE@ Req.:^r(Ell-1 erls Fo4fie Na*zq, L{yout- A-\ Ps I P,k)Posga 4^ro Cusmua- Ao.oerauc.6 Pea- Doc. No. vo41 -PL- 73 Z Dr=srau CAttErrlAt = ASI III E^'. tq.T ooo T= ,|OOoF l^- J. _.-:-l-1osEL: lY -. a{(rt /A ,-+-=E I rltl '+-l - frlo>aura Lo44TJ6NJ D*rx: - Nt C,zn,a7€') 6' =O" . = .' , N ?- l-.- ./zr,z,5 . f t,A?o-a zz.LL., @nz-law-'23g , =61.2" . N3 G-f" 'zz.(,(." 6"=11o-at,1\+7n!zz9o.O' ) ' Nq 14.fa;,a-.*;;;F - 23.6t"/' .Ip-, a ffi =zar,3" . lrlr es=Q. zo,6t" e.e.fI.lrd ) 14-(Zo-zr.oe)t2t4 REVO DocNo. Va9-I47a Prr.l ot 3E '4- CorrP,Qes>*f..Ss -luPor Drt-r,q: FrD HeaO I \sA 24,O €64L HrGH No?aL6ls (ar-u\ SAu6 go< u Hrc'rt : = lel. ? pS / 'TEHF. . bESrc=ro,IG = 4d3cF ooo Fr- c(nal - Louc-. Sr=,qr-r X-MV *gFAr1LEgS .., Nr6 {RAy ' HEAo/Srt,=r-,- SEAl"r X-Rav - Spor DEn- U\^/ - rt(b\ Ep,= t . IO = 84.as-4 ' , CRowN lr.]rEAxaL-Pdgr*s = 8.f " . KNSCI . FoRvrqG A..owarJc€ =-o.. . S-ra,qrc.$r /=clve5- : Z' -G, ^ , cx.ru,=ss = . 3,7,S o?zLl=si 7-t\ - Pt !r < 'l (A,-u) I, I\J -T-r+rct< r.rE:Sq = . tgts- (Aur-\ . A"c."-a 6 DrsT.A\JCra r N['. @,=o" n - 7.82,f" a N2: 6l a, G9 .1o fu c 22,6L N3:Ar -zgo,1- Y 3.zZ,6C,' Nfr i 6e - Z8,O3o G=ae.ot' Rtvo ' Do. No. V49-14t4 Nl<'. 6ca33l,t7o rfa e3.0| Ptr. a otJt 5 Cor-rP&ESs 'f.53 -OcJrFdI 6orpur Fon- B4' F+D t+ExD, Nozzcg.> l, Z Au.o 4 Ar-e- ,(rm.cr+EA l\ Ver-rFY Co,qpunr,J(€ To ASHE-UTI. . Eor?orJ, /ucurDlt'.tc' Aq Aooepoa. -Tit-lr Notr:r r(rlAuvsrs,/Resuers troa- Na>Attz eg ls $yra;rgr/\rcaLLy tDeuttoae T?> EL oo0 No>zuz ,Aub-[Jozzte-r.t- rs |r}00 T6 n [og*,rt c4a ]-o 4. *"* Doc No. Vall-o7a Pr!.5 of JE TABLE OF COIITEIITS Pressure Surffnary 1 Wej.ghE. Surrunary Nozzle Suftmarv 3 Thickness Suwrnary 4 84" F&D HAM HEAD 5 N1.lST ROW-CENTER o N2-1ST ROW-RIGITT 15 N4-2ND ROW-RIGI{T 24 Total Pages In This Report 32 REVO 3.L2 -L996 DocNo- Va9l474 P.6oflt Pressure Su narlf Pressure sumlary for pressure chaniber 1 l!.oz!re I r I n^rr lrap | ?. lrrc-ee I oca-56 lcolro.lorl | srlru. I d.itsn | | l.!t.r".ll rrrlo I tDrt tr.lptlor or l^!tor.rc.l I ruc{!) l(dce rl | {p.I) | (p.1) | (p.1) | | (d.9 r) .tr... t.ductloo I tttl) I t-l tar lrD ran xlaD I | 0-0 | 12.t | 72.1 | 22.r I t.0ooI lro!.ppllc.bt. I o.oooI I Dt x1'lst i0l.-cENtal ok | 0.0 | 8-!.5 | aJ.3 I rr-? | 1.oooI I ror lpprlclbt. I o.oooI lx2 x2-1ar Ror-trcBrI ox | 0.0 | 3l ., I a3.0 I 15.8| 1,oooI I xor !!prtclbrc I o-oooI I t, lr!'1sT iof-rr!rr I "h I o.o I aa.2I a3.oI 15.8I 1.oooI lxot.pp11..bl. I o,oooI ta ra -:taDior-R!c8tI or | 0.0 | 61.2 | r3.o I rs.6 | 1.oooI lxot.pprt..bt. I o.rooI xs rrs-2xD nor- LBaT I ox | 0,0 | tJ.2 | 8l-0 | 15.0| 1.oooI lxot.pplic.blc I o.oooI _t_t_t_t_t_t_l t-l Vessel MAWphot & corroded rs 72.1,1, psi @ 0 degrees F. Vesse] MAP new & cofd is 72.1,! psi @ 70 deqrees F. Vessel allowable exEernal- pressure is 15.76 psi @ 400 degrees F. Hydrot,est pressure calculation based on I{AWP = 1,5* (MAWP+ Operating L,iquid Head)*1 = 108.2 psi Vessel hydrotest pressure is 108.2 psi. Note: vessel MAP rating not valid unless hydrotest pressure based on !lAP. REVO 3 -L2 -L996 t ocNo. Vlll4z Prr. t 6llt Weight Sumnary cohDorcnt ------*.ighr {lb.} cortrlbut.il by v....1 ll.n.ntr x.t!I n!Lrl, tr.y. l..k.d trru]' nlng Plping L!ilc.f 81tr9. Op.! r.rt l|oz ! l. rr.r corr r .up r.d. r Ptlt & HI.c r,!qu!al ltquiit r 119 lar trd hlm D€. 2tat :!a9 ve33€l oPeratlng relght, .otoded: 450 lb3 v..r.l .npty reight, collod.d: 450 lba VcrrGl .hpty veight, n.r: 450 lbr verr.l re.. relEht, ner: 2,999 lb6 Vessel center of qrawitv location (from riqht weld seam) Vessel 1if t weight., new: 848 lbs eenler of gravity to seam: 10.5 in REVO 3 - 12 .1995 DocNo. Va9-l-07a P.r.aot38 Nozzle Sunmarv OD (in) a1t t2? (in) (t) Nt t.00 0.2500 0 .3?s0 0.47r7 0.trt0 x2 0 . 2101 Y 0.!150 o- 2?a9 0.37to 0.0000 100. a '|! a,0o 0,2500 0.?t01 v o- 3750 o- 2rga 0,!?50 0 ,0000 ro0 - o N4 0.3?50 o.2161 0.3?50 0.oo00 100.0 lc5 0 . 2101 o,at50 0.2?90 0. !750 o.ooo0 100.o nozzl-e thickness Req tn - nozzle Ehickness required per UG-45/16 Nom E. - vessel wall thickness Reqt- required vessel wal1 thickness due to pressure + corr per uG-37 User t - local vessel vra1l Ehickness (neaf opening) Aa- area available per UG-3?, governing condiEion Ar- area required per UG-37, governj-ng condition Corr - corrosion aIl-owance on nozzfe id. REVO 3 -1,2.L996 DocNo. va9-l-074 P.!.9 ol38 T'hickness sumnary ID l,ength Lo[ I cov.rDl.g D.tl.ct r ln) tlnl i in) a !'o.d Bl.tu. at r... llDt 3a r lail h.! t!€..t o.!r5o o-37s0 0,85 Nom t - vessel waI1 tshickness P aat t - required vessel wa1I thickness due Eo governing loading E - LongiEudinal seam joint efficiency Load: internaf - circ slress due t.o internal pressure governs external - external pressure governs wind - conbined long sEress due to STATUS+ wind governs seismic - combined long stress due to STATUS+ seismic governs REVO DocNo. V.l9J.07,| 3.L2.L996 P|'t l0 ot!8 84N F&D EA HBAD ASMB Sect.ion VIII Division 1. 1992 Edition. A93 Addenda Component: F&D head Material specification: SA 240 3041, HIGH Corrosion allowance: Inner C = 0 Out.er= 0 1n PWHTis not performed Radiography: Category A joints - Seamless NO X-Ray Head t.o shell seam - Spot ilw- 11 (b) type 1 Estimated weight : new = 821.5 corr = 821.5 Ib capacj-ty: new = 257.65 corT = 257.65 US qa ID = 84.25 crown L = 84.25 knuckle r = 5.25 E = .375 i.n (min) SE.raight flange = 2 forming allowance = 0 in MAP: (New & at 70 de€r F) Appendix 1-4 {d) Bo 3 P = 2*S*E*t/ (L*trt+ 0.2*t) - Ps = 2*16700*0.85*0.375l(84.25*1.7515+ 0.2*0.3?5) - O = 72 .11008 psi MAWP: (Corroded & at. 0 deg F) Appendix 1-4 (d) Bs 3 P = 2*S*E*E/(Ir*M + 0,2*t) _ Ps = 2*15700*0.85*0.375/ (84.25*1.7515 + 0.2*0,375) - O = ?2.11008 psi A = .t2s/ (Ro/E, = .t2s/ (84.525/O.375) = 0,000554 From table HA-3: B = 5085.4 Pa= B,/(Ro/E) = 5065.s/ (Se.62s/O.37s) = 22 .4464 psi Check Ehe MaximumExternal- pressure: UG-33(a) (1) & App. 1-4(d) pe= 2*S*E*t/( (M*r,o_ t*(M_0.2))*1.G7) = 2*:I4700*t*0.375/( (1.7515*84 .625 - 0.325*(1.2515-0,2) )*1.5?) = 44.71584psi The maximumallowable external pressure is 22.4464 ps!, REVO 3 .12 - 1995 DocNo. V'19-l-074 P.t. l l ot3E t N1-1ST ROW-CBTiITtsR Opening N1 Reinforcement Calculatsions Per Ue-37 Located on: 84,' F&D HAMHEAD User input vessel thickness: .3?5 in IJiguid staEic head included: 0 psi F]ange description: Not. inst.alled NozzIe materiaL specification: SA 240 3041,HIGH Nozzle orientation: 0 degrees End of nozzl-e to datum line: 19.782 in Nozzle calculated as hillside: yes Projection outside vessel Lpr! 3.39 in tn -> corrosion aIIor,\r = 0in <-d-> noz thick new tn= .25 in tvrl-> nozzle id. new d= / -5 .an fillet weld Ew1 = .25 in groove weld tw2 = .18?5 in *, <- R -tl To head center R= 7.875 in Reinforcement ealculations For Nozzle MAWP I",imits of reinforcement ltrc-4o ParaLlef to the vessel wall d = 7.533 in Norrnal to Ehe vessel waI1 oulside 2.5*(En-Cn) + tse = .625 in Normal to the vessel wal1 inside 2.5* (tn-Cn-C) = .625 in Determinat,ion of Chord Length Thet.al = ArcCos ( (1.,o + Rn) /Rm) = Arccos ((7 -875 + 3.75) /84.3554) = 82.07932 TheE,a2 = Arccos ( (Lo - Rn) ,/Rm) = ArcCos ( (7 .875 - 3.75) /94.3554'l = 8?.19758 d = 2*Rm*Sin((Theta2 _ Thetal)/2) = 2*84.3554*Sin( (8?.197s8 - e2.07932)/z) = 7.533 in Nozzle required thickness trn = P*Rn/(Sn*E - 0.6*P) = 83.53057*3.75/(t67OO*1 - 0.5*83.5305?) = 0.0188 in REVO 3.L2.L995 DocNo. V4tl.0?4 Ptr. l2 ol 18 Nl-1ST ROW-CBNTER Reouired thickness tr froln UG-3? (al (1) tr= P*1,*1't17(2tSrE - 0.2*P) = 83.5305?*84.25*L/(2*16700*1 - 0.2t83.53057) = 0.2108 in Area required Al-1ovrab1estresses: Sn = f6700, Sv = 15700, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = lesser of 1or Sn/Sv so fr2 =1 A = d*91*9 + 2*tn*tr*Fr (1 _ fr1) = 7.533*0.2108*1+ 2*0.25*0.2108r1*(1_ 1) = 1.588 in^2 Area available A1 = larger of the following = r.237 j-n^2 = d* (81*E_F*tr) _ 2*tn* (E1*8._F*E.r)* (1_f11) = 7.533*( 1 * 0 .3 7 5 - 1* 0 .2 1 0 8 ) - 2*0.25*(1*0.375-1*0.2108) * (L-1) = L .237 in^ 2 = 2* (E.+En)* (81*t-F*tr) - 2*cn* (E1*E-F*E.r)* (1-frl) = 2*(0.375+0.25)*(1*0.375-1*0.2108)- 2*O.25*( 1 * 0 ,3 7 5 - 1* 0 .2 1 0 I ) * (1 - 1) = .205 in^2 A2 = gmsllgr of the followinq = 0.289 in^2 = 5* (tn - Ern)*fr2*t = 5* (0.25 - O,0188)*1*0 .375 = .433 in^2 = 5* (ln - trn) *fr2*En = 5* (0.25 - 0.0188)*1*0.25 = . ZEg Il1, 2 A4l = Leg^ 2rfr2 = Q.25^2*L = .053 in^2 Area=AL+A2+A41 = r.237 + 0.289 + 0.0G3 = 1.589 i-n^2 As Area > A t,he reinforeement is adequate for MAWP= 83.5305? aE 0 Deg F Reinforcement check in the plane parallel to the longr - axis Area reguired A = d*tr*F + 2rtn*tr*F* (1 _ fr1) REVO 3.12 -L996 Do. No.Va9.1.074 P.s. 13df38 Nl-1ST ROW-cBlfrER = 7.5*0.2108*1 + 2* 0 .2 5 * 0 .2 1 0 8 * 1* (1 - 1) = 1.581 in^2 Area available A1 = larger of the following = 1.231 in^2 = d* (E1:tE.-F*E.r)- 2*!n* (81*t-F*tr) * (1-fr1) = 7.5*(1*0.3?5-1*0.2708) - 2*0.25* (1*0.375-1r0.2108)*(1-1) = 1.231 in^2 = 2* (t+En)* (81*t-F*t,r) - 2*tn* (81*E.-F*Er)* (1-fr1) = 2* (0 .3 7 5 + 0 .2 5 ) * (1 * 0 . 37 5 - 1* 0 .2 1 0 I ) - 2*0.25* (1*0.375-1*0.2108)* (1-1) = .205 in^2 Area=Al-+A2+A41 = 1.23a + 0.289 + 0.053 = 1.583 in^2 As Area > A the reinforcement is adequate for MAWP= 83.53057 aE 0 Deg Check the welds - Fron Irw-16 (d) : tmin = lesser of 0.?5 or tsn or t, tmin = 0.25 in t1 or t2 (min) = lesser of 0.25 or o.7*tmin, t1 (min) = 0,175 in t.1(actual) = 0.7*Leg = 0.7*0.25 = O.175 in t2 (actual) = 0,1875 in EL + E2 = 0.3525 >= 1.25*tmin The weld sizes for t1 and tsz are satisfactory. ItG-45 Nozzle Neck T'hickness Check WalI chickness per UG-45(a) : r.r1 = 0.0188 in 1s = 1) walI thickness per UG-45(b) (1) : Lr2 = 0.2108 in waIl thickness per UG-15(b) : tr3 = 0.0525 in Std pipe $ra1l per UG-a5(b) (a) : tr4 = 0.28175 in The greater of tr2 or tr3: tr5 = 0.2108 in The lesser of tr4 or tr5: tr6 = 0.2108 in Reqrd per UG-45 is the larger of tr1 or tr5 = 0.2108 in Available nozzl- e wa1I thickness new, tsn = 0.25 in Tbe nozzTe neck thickness is adequate for MAWP. Allowab1e stresses in joints ltc-45(c) and urY-15(c) Groowe weld in tension = O.74*!6700 = 12358 psi Nozz1e wall in shear = 0.?116700 = 11590 psi rnner fillet weld in shear = 0.49*16700 = 8183 psi St.rength of welded jointa: REVO 3 .12.1996 DocNo. V49l{71 Prt. la of tt rr1-1sT Rovf- cBllTER (1) Inner fillet weld in shear (Pi/2)*Nozzl-e O.D.*Leg*Si = 1.5?*8*0.25*8183 = 25694.52 lbf (3) Nozzle wall in shear (Pi/2) *Mean nozzle dia.*!n*Sn = !.57*7.75*0.25*11590 = 35559.52 lbf (4) Groove weld in tension (Pi/2) *Nozzle O,D.*tw*Sg = 1.5?*8*0 .1875*72358 = 29103.09 lbf L,oading on welds ger UG-41 (b) (1) !{ = (A - (d - 2*tn)*(81*t - F*tr))*Sv = (1.588 - (7.533 - 2*O.25,* (1*0.3?5 - 1*0.2108))*15700 = 7234.131 lbf W1-1=(A2+A5+A41 + A42)*Sv = (0.289 + 0 + 0.053 + 0)*16700 = 58?8.4 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*ln*t*fr1) *Sv = (0.289 + 0 + 0.053 + 0 + 2*0.25*0.375*1)*16700 = 9009.55 1bf Load for path 1-1 Lesser of w or W1-1 = 5878.4 lbf Path 1-1 Thru (1) & (3) = 25694.62 + 35559.52 = 61254.14 1bf Path 1-1 is stronger than W1-l- so its is acceptable per UG-41(b) (1) . Load for path 2-2 lesser of W or W2-2 = 7234.131 lbf PaEh 2-2 Thru (1) , G) = 25694.62 + 29103.09 = 54797.71 lbf PaE}r 2-2 is stronger than w so it is acceptable per UG-4L (b) (2). Reinforeement Calculations For Nozzle MAP Limits of reinforcement UG-40 Paraflef to Ehe vessel waII d = 7.533 in Normal tso Ehe vessel waIl out.side 2.5*(tn-Cn) + ce = .525 in Normal to the vessel waLl inside 2.5* (tn-Cn-C) = .625 in Determination of Chord Lenqth Thetal = Arccos ( (Lo + Rn) /Rm) = Arccos( (7.8?5 + 3.75) /e4.3554) = 82.07932 Thera2 = Arccos((Lo - Rn)/Rm) = ArcCos((7 .8?5 - 3.75) /e4.3554\ = 87.19758 d = 2*Rm*Sin((Theta2 - Thetal)/2) = 2*84.3s54*Sin ( (87.19758 - 82 .07932',/21 = 7.533 in Rf,,VO 3 .12 .1995 Dor No. \'19-l-ln{ P... l3 or 3t N1-1ST ROH-EENIBR Nozzle required thickness trn = P*Rn/(Sn*E - 0.6*P) = 83 .54O77*3.75/(]-6700*1 - 0 .6*83.540771 = 0.0188 in Recuired thickness tr from ItG-37(a) (1) t.r= P*L*M/ (2*S*E - 0.2*P) = 83.54O77*84.25*I/ (2*16700*1 - 0,2*83 .54077) = 0.2108 in Area required A]lowab]e sLresses: Sn = 15?00, Sv = 15700, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = Iesser of 1or Sn/Sv so frz =1 A = d*tr*F + 2*En*Er*F* (L - fr1) = 7.533*0.2108*1 + 2* 0 ,2 5 * 0 .210I * 1* (1 - 1) = 1.588 in^2 Area awailable A1 = larger of Ebe fol10wing = r.237 in^2 = d* (81*t-Frtr) - 2*tn* (E1*t-F*tr) * (1-fr1) = 7.533* (1 * 0 . 37 5 - l_* 0 .2 1 0 I ) - 2*O.25* (1*0.375 - 1*0.2108 ) * (1-1) = L.237 irL^2 = 2* (8.+t.n)* (E1*E-F*tr) - 2*En* (El-*t-F*tr) * (1-frI) = 2*(0.3?5+0.25)*(1*0.375-1*0.2108)- 2*O.25*( 1 * 0 .3 ? 5 - 1* 0 .2 1 0 8 ) * (1 - 1) = .205 j-n^ 2 A2 = smalter of the foll0wing = 0.289 in^2 = 5* (tsn - tsrn) *fr2*t. = 5* (0.25 - 0.0188)*1*0.375 = .433 in^2 = 5* (tn - lrn)*fr2*tn = 5* (0.25 - 0.0t881*1*9.2U = .289 !n^2 A41 = Leg^ 2 * fr2 = O.25^2tI = .053 in^2 Area = A1 +A2 +A41 = a.237 + 0.289 + 0.053 = 1.589 in^ 2 As Area > A E.he reinforcement is adequate for MAP = 83 .54077 at 70 Deg F *; 3.12.1ee5 il,:T"::;'-. N1-1ST ROW-EEITTBR Reinforcement check in the olane paraltel to the long. axis Area required A = d*trrF + 2*Cn*Er*F*11 _ fr].) = ?.5*0.2109*1+ 2* 0 .2 5 * 0 .2 1 0 g * 1r (1 _ 1) = 1.581 in^2 Area available A1 = larger of the following = 1.231 in^2 = d* (E1*t.-F*E.r) - 2*En* (E1*t-F*tr) * (1-fr1) = 7.5' (1*0.375-1*0.2108) - 2*0.25* (1*0.375-l-*0.2108)*(1-1) = 1.23L in^2 = 2t (t+tn) * (E1*t-F*Er) - 2*tn* (81*E-F*tsr)* (1-f11) = 2*(0.375+0.25)*(1*0.375-1*0.2108)- 2*.0,251,(1 * 0 .3 7 5 - 1* 0 ., t gg 1 * (1 - 1) = .2O5 j n^2 Area = A1 +A2 +A4L = 1.231 + 0.289 + 0.063 = L.583 in^2 As Area > A the reinforcemenE is adequate for MAP = 83.54077 at 70 Deg F check the wel-ds - Fron u[t-15 (dl : tmin = lesser of 0.75 or tn or t, tmin = 0.25 in tl- or t2 (min) = lesser of O.25 or 0.?*tmin, t1 (min) = 0.175 in c1 (actual) = 0.7*Leg = 0.7*0 -25 = 0.175 in ts2(actual) = 0.1875 in C1 + t2 = 0.3525 >= 1.25f,tmin The weld sizes for t1 and t2 are saEisfactory. UG-45 Nozzle Neck Ttrickness (heck Wal1 t.hickness per Uc-45 (a) : tr1 = 0.0188 in (E = 1) Wa11 thickness per UG-45(b) (1) : tr2 = 0.2108 in WalI Ehickness per UG-15(b) : tr3 = 0.0525 in SEd pipe walI per UG-as(b)(a) : tr4 = 0.28175 in Ttre greater of Er2 or tr3: tr5 = 0.2108 in The lesser of Lr4 or tr5: tr6 = 0.2108 in Req'd per UG-45 is the ]arger of tr]- or tr6 = 0.2108 ln Available rlozz]- e vrall thickness new, En = 0.25 in The nozzl-e neck E.hickness is adequaEe for MAP. ALlorrable stresses in joints ltc-45(c) and Itw-15 (c) REVO 3 -L2.L996 IrocNo. V49-r474 P.r. l? ot 3E Nl-1ST ROT{-CENIER croove weld in tension = 0.74*167o0 = 12358 psi Nozzle waII in shear = 0.7*16?00 = 11590 psi hner fi1leE weld in shear = 0.49*15700 = 8183 psi Strenqth of welded iointss: (1) Inner fillet weld in shear (Pi/2\ *NozzLeO.D.*teg*Si = 1,57*8*0.25*8183= 25694.521bf (3) Nozzle \.ra11in shear '7 (Pil2)*Mean nozzle dia. *tn*Sn = 1 . 57r . 75 * 0 . 25 * 11 5 9 0 = 35559.52 lbf (4) Groove vteld in tension (Pil2)*NozzleO.D.*tw*Sg = 1.57*8*0.1875*12358= 29103.09lbf Loadino on welds Der UG-41 {b) (1) W = (a - (d - 2*tn)* (E1*t - F*Er) )*Sv = (1.588 - (?.533 - 2rO.25l* (1*0.375 - 1*0.2108))*15700 = 7234.131 lbf W1-1 = (A2 + A5 + A41 + A42)*go' = (0.289 + 0 + 0.063 + 0)*15700 = 5878.4 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*E.n*t*fr]-) *Sv = (0.289 + 0 + 0.063 + 0 + 2* 0 .2 5 * 0 .3 7 5 * 1) * 15 7 0 0 = 9009.6s lbf Load for path 1-1 lesser of w or W1-1 = 5878.4 lbf Pat,h 1-1 Thru (1) c (3) = 25594.52 + 35559,52 = 6!254.14 lbf Path 1-1 is sEronger tshan W1-1 so it is accept.able per UG-41(b) (1) ' Load for path 2-2 lesser of W or W2-2 = 7234.131 lbf PaEh 2-2 Thru (1), ( ) = 25694,62 + 29103.09 = 54791.71 1bf path. 2-2 is stronger than w so iE is acceptsabLe per UG-41(b) (2). Reinforcement Calculations for External Pressure Limits of reinforcement IIG-40 Paralle1 tso the vessel wa1l d = 7.533 in Normal to t.he vessel wall outside 2.5* (tsn-Cn) + te = .625 irL Normal to the vessel wa1I inside 2.5* (!n-cn-c) = .525 in Detemination of Chord Lenqth Thetal = ArcCos ( (Lo + Rn) /Rm) = ArcCos( (7.875 + 3. ?5),/84.38885) = 82 .08248 fheta2 = Arccos ( (Lo - Rn) /Rm) = ArcCos((7.875 - 3.751/84.38885) "-o Doc No, 3 .12 - 1995 Va9-1.07a N1-1ST ROW-CBNTBR = 87.19859 d = 2rRm*Sin ( (Thet.a2 - Thet.al) /2) = 2*84 .38885*Sin( (87.19869 - 82 .08248',/21 = 7,533 in Nozzle reouired thickness L/Do=3.39/e=.4238 Do/E = 8/0.or9s7 = 402.6]-7 From table G: A = 0.000401 From table HA-3 : B = 4785.4 Pa= 4*B/ ( 3*Dolts ) = 4*47 85.4/ (3" e / O.0198?) = 15.8476psi Nozz1e required thickness trn = .01987 in Required thickness tr from uc-37(d) (1) = .i777 in Area required A11ov7ab1esE.resses: Sn = 147OO, Sv = 14799, psi fr1 = lesser of 1or Sn/Sv so fr1 =l fr2 = lgsssr of 1or Sn/Sv so fr2 =1 A = 0.5*(d*tr*F + 2*tn*Er*F*(1 - fr1)) = 0.5* (7.533*0.2777*7 + 2*0 .25*0.2777*7* (1 - 1) ) = 7.046 in^ 2 Area available A1 = larger of the following = .733 in^2 = d* (E1*C-F*tr) - 2*tn* (E1*t-F*tr) * (1-fr]-) = 7 .533* (1*0.375-1*0.2777\ - 2*0.25* (1*0.375-1*0.2777)* (L-rl = .733 in^2 = 2* (t+tn) * (81*t.-F*t.r) - 2*t.n* (E1*t-F*tr) * (1-fr1) = 2* (0.375+0.25) r (1*0.375-1*0 .2777) - 2*O.25*(1*0.375-1*0,2777 | * (r-L, = .L22 in^2 A2 = Emal-Ier of the foll_owing = 0.288 in^2 = 5* (t.n - trn) *fr2*E = 5* (0,25 - O. 0 1 9 8 ? ) *1 * 0 .3 ? 5 = .431 in^2 = 5* (tn - trn) *fr2*tn = 5* (0.25 - 0.01987)r1*0.25 = .288 i-n^2 REVO 3.L2.L996 DocNo. Va9-l-074 N]--r.ST ROW.EEIITBR A41 = L,eg^2*frz = 0.25^2*1 = .063 in^2 Area = A1 +A2 +A41 = 0.733 + 0.288 + 0.053 = 1.084 in^2 As Area > A the reinforcement is adequate for Pe = 15 -76347 at 400 Deg F Reinforcement check in the plane paralleL to the long. axis Area reguired A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) = 0.5* (7.5,t0 .2777*! + 2*0 .25*0,2777*!* (1 - 1) ) = 1 . 041375 i-n^2 Area available A1 = larger of ghe following = ,73 in^ 2 = d* (81*t-F*t,r) - 2*tn* (81*t-F*tr) * (1-fr1) 't.5* = (1'k0 . 37 5 - 1* 0 .2777) - 2*O.25* (1 * 0 . 37 5 - 1* 0 . 27Z I 1* 11-11 = .73 !n^2 = 2* (t+tn) * (E1*t-F*tr) - 2*En* (E1*t-F*t.r) * (1-f11) = 2* (0.375+0.?5)* (1*0.375-1*0.27771 - 2*O.25*(1*0.375-L*0 .2117) * (1"-]-l = .!22 in^2 Area = A1 +A2 +A41 = 0.73 + 0.288 + 0.063 = 1.081 in^ 2 As Area > A t,he reinforcement is adequate for Pe = 15 .16347 ats 400 Deg F UG-45 Nozzle Neck ftrickness Greck Wall thickness per UG-45(a) : tr]. = 0.01987 in 19 = 1) 9{aII thickness per UG-45(b) (2): tr2 = 0.0452 in WaIl thickness per UG-15(b): tr3 = 0.0625 in SEd pipe wall per UG-as(b) (a): tr4 = 0.28175 in The greater of Er2 or tr3: tr5 = 0.0625 in The lesser of tr4 or tr5: tr6 = 0.0625 in Req'd per Uc-45 is the larger of tr1 or tr6 = 0.0625 in Available nozzle wall thickness new, tn = 0.25 in The nozzle neck Ehickness is adequate for Pe, 3.L2.L996 REVO . DocNo. Vill.074 P.r.l0 nt18 N2-1ST ROW-RIGIII Openinq N2 Reinforcement calculatsions Per UG-37 IrocaEed on : 84 'I F&D HAM HEAD User input vessel thickness: .375 in Liguid static head included: 0 psi Flange description; Not insEalled Nozz1e material specificaEion: SA 240 3O4L HIGH Nozzle orient.aEion: 69 .7 degrees End of nozzle Eo datum line: 16.1521, in Nozzfe calculated as hillside: yes Proj ecE.ion outside vessel IJpr: 3.083in tn -> corrosion allow = 0in <-d-> noz t,hick new tn= .25 in '/.5 tw1-> nozzle id, new d= ].n f il-let weld tw1 = .25 in qroove weld E.w2= .1875 in _EWZ <- R ->l To head centser R= 22.66 in Reinforcement Calculations For Nozzle MAWP Limits of reinforcemenb UG-40 ParalleL to the vessel wa11 d = 7.787 ln Norma1 to the vessel wall ouEside 2.5* (tn-Cn) + Ee = .625 in Normal to the vessel wa11 insi-de 2.5* (tn-Cn-C) = ,525 in Determination of Chord Length Thetal = Arccos((Lo + Rn)/Rm) = ArcCos( (22.66 + 3 .75) ,/84.35505) = tL.I533b Theta2 = Arccos ( (L.,o - Rn) /Rm) = ArcCos((22.66 - 3.7s)/e4.35s05) = I I . V+OZO d = 2*Rm*Sin( (Theta2 - Thetal),/2) = 2*84.35505*Sin( (77.04626 - 7L.75536)/2) = 7.787 in Nozzle reouired thickness trn - P*Rn/(Sn*E - 0.5*P) = 83 .25131*3 .75/ (]-6700*1 - 0 .6*83 .25131) = 0.0188 in REVO 3 -L2 -L996 Do. No. V49l{74 N2-1ST RO9T-RIGHT Reouired thickness tr from UG-37 (a) (11 E.r= P*L*M/ (2*S*E - 0.2*P) = 83 .25131*84-25*L/ (2*15700*1 - o .2* 83.25a3L) = 0.2101 in .Area required Allowable stresses: Sn = 16700, sv = !6700, psi fr1 = lesser of 1or Sn/Sv so fr1 fr2 = lesser of 1or Sn/Sv so frz A = d*Er*F + 2*En*Er*F* 11 - fr1) = 7 .787*0.2101*1 + 2*0 .25*0.2101*1*(1 _ 1) = 1.535 in^2 Area availa.ble A1 = larger of Ehe following = 1.284 in^2 = d* (E1*t-F*tr) - 2*tn'r (81*t.-F*tr) * (1-fr1) = 7.787* (1 * 0 .3 7 5 _ 1 * 0 .2 1 0 1 ) - 2*0.25* (1*0.375-1*0.2101)* (1-1) = L .284 i']^ 2 = 2* (t+tn) * (E1*t-F*!r) - 2*En* (E1,rE.-F*Er)* (1-fr1) = 2*(0.3?5+0,25)*(1*0.375-1*0.2101) - 2*O.25t'( 1* 0 .3 7 5 - 1*0 .2101) * (1- 1) = .206 i-r1^2 A2 = smaller of the following = 0.289 !n^2 = 5* (tn - Ern) *fr2*t = 5*(0.25 - O.0188)*1*0.375 = .433 in^2 = 5* (tn - tsrn)*fr2*En = 5* (0.25 - O.0188)*1*9.25 - .289 j-n^2 A4]- = Leg^2*fr2 = Q.25^2*t = .053 in^2 Area=AL+A2+A41 = L.284 + 0.289 + 0.053 = 1.636 in^2 As Area > A the reinforcement is adequate for MAWP= 83.26131 at 0 Deg Reinforcements check in the plane Darallel to the long- axis Area reguifed A = d*tr*F + 2*Ln*tr*Fr (1 _ fr1) REVO 3.1 2.L996 DocNo. va!l-07.1 F.'.22.t1N N2-1ST ROW-RIGHT = 7 .5*0.2101*1 + 2*0.25*O.2101*1*(1 _ 1) = 1.57575 in^2 Area available A1 = larger of Ehe following = f.237 !t^2 = d* (E1*t-F*E.r) - 2*tn* (Et*t-F*tr) * (1-fr1) = 7 .5* (1 * 0 . 37 5 - 1* 0 . 21 0 1 ) - 2*0 .25* (1*0.375-1*0.2101) * (1-1) = r.237 j-n^2 = 2* (E+tn) * (E1*t-F*E.r) - 2*tn* (81*E.-F*t.r)* (1-fr1) = 2* (0.375+0.25)* (1*0.375-1*0.2101) - 2*0.25* (1*0.375-1*0.2101) * (1-1) = .206 j-rr^2 Area = Al- + A2 + A41 = r.237 + 0.289 + 0.063 = 1.589 in^2 As Area > A E.he reinforcement is adequate for MAViIP= 83.25131 at 0 C'heck tbe welds - From tw-16(d): Lmin = lesser of 0.75 or tn or t. Emin = 0.25 in t1 or t.2 (min) = lesser of 0.25 or 0 .?*tmin, t]- (min) = 0 .175 in t1(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in t2 (actual) = 0.18?5 in tL + t.2 = 0.3625 >= 1.25*tmin The wel-d sizes for t1 and t2 are satisfactorv. UG-45 Nozzle Neck fhickness Cbeck WalI Lhickness per UG-45(a): Er1 = 0.0188 in (E = 1) wall t.hickness per UG-45(b) (1): tr2 = 0.2101 in Wa1I thickness per UG-15(b): Er3 = 0.0525 in Std pipe wal1 per UG-45(b) (4): tr4 = 0.28175 in The greater of EE2 or E.r3: tr5 = 0.2101 in Tbe lesser of tr4 or tr5: Er6 = 0.2101 in Req'd per UG-45 is E.he larger of tr1 or tr5 = 0.2101 in Available nozzle waII thickness new, t.n = 0,25 in The nozzle neck thickness is adequatse for MAWP. Allo{rable stresses in joints IIG-45(c) and ltt{-15 (c} Groove weld in Eension = 0,74*1-6700 = 12358 psi Nozzle wal1 in shear = 0.?*16?00 = 11590 psi Inner fillet !te1d in shear = 0.49*16700 = 8183 psi Strenot.h of welded joints: 3 .12 .1996 REVO DocNo. 1'49-1.074 Pr".:!.f3t N2-1ST ROW-RTGIfJ (1) Inner fillet weld in shear (Pi/21 *11s..1e O.D.*Leg*Si = 1 . 57 * I * 0 . 25 * I 1I 3 = 25594.62 1-bt (3) Nozz1e waII in shear (Pil21*1'1g.r nozzle dia.*E.n*Sn = 7-.57*7.75*O.25*LL690 = 35559,52 lbf (4) Groove weld in tension (Pi/21 *11o=.1eO.D.*Ew*Sg = 1.57*8*0 .]- 875*12358= 29103.09 lbf I,iadinq on welds Der UG-41 (b) (1) w = (a - (d - 2*En)*(E1*E - F*tr))*Sv = (1.636 - (7.787 - 2*O.25)* (1*0.375 - 1*0.2101))*15700 = 7254,041_lbf W1-l- - (A2 + A5 + A41 + A42) *5y = (0.289 + 0 + 0.053 + 0)*15700 = 58?8.4 lbf W2-2 = (A2 + A3 + A41 + A43 + 2*tn*E*fr1) *Sv = (0.289 + 0 + 0.063 + 0 + 2* 0 .2 5 * 0 .3 7 5 * 1) * 15 7 0 0 = 9009.5s 1bf Load for path 1-1 Lesser of W or W1-1 = 5878.4 lbf PaEh 1-1 Thru (1) & (3) = 25694.62 + 35559.52 = 6L254.14 lbf PaEh 1-1 is sE.ronger than W1-1 so it is acceptable per UG-a1(b) (1) Load for path 2-2 lesser of W or W2-2 = 7254.04L l-bf Palt}l 2-2 Thru (1), (4) = 25694,62 + 29103.09 = 54797.71 lbf Pat}. 2-2 is scronger than w so it is acceptsable per UG-41 (b) (2). Reinforcement Calculations For Nozzle MAP Limits of reinforcement UG-40 Parallel to Ehe vessel wall d = 7.787 in Normal t.o the vessel waII ouE.side 2.5* (tn-Cn) + te = .625 in Normaf !o the vessel, $ra11 inside 2.5* (En-Cn-C) = .525 in Determinat ion of Ctord tenqth Thetal = Arceos ( (Lo + Rn) /Rm) = Arccos((22.65 + 3.75) /84.35481 = tL.I))J Theta2 = Arccos((L,o - Rn)/Rm) = Arccos((22.66 - 3.75) /94.3s49) = 77.04622 d = 2*Rmrsin( (TheE.a2- Thetal)/2) = 2*84.3548*Sin ( (11.04622 - 71.7553)/2) = t.ttll Ln 3.t2 -L996 REVO Itoc No.V.t9.r4?a N2-1ST ROW-RIGIIT Nozzle required thickness trn = P*Rn/(Sn*E - 0.6*P) = 83.06746*3.75/(16700*1 - 0.5*83.06746) = 0 .0187 in Required tshiclmess t.r from UG-37 (a) (1) !r= P*L*M/(2*S*E - 0.2*P) = 83.06746*84,25*L/ (2*15700*1 - 0.2*83 .06745') = 0.2096 in Area required ALlowable st.resses: Sn = 16700, Sv = 15700, psi fr1 = lesser of 1or Sn/Sv so fr1 =L fr2 = lesser of 1or Sn/Sv so fr2 =1 A = d*tr*F + 2*tn*tr*F* (1 - frl-) = 7.787*0.2096*I + 2*0.25*0.2096*)_*(1 _ 1) = a.6322 i.n^2 Area available A1 = farger of t.he foll0wing = 1.288 in^2 = d* (E1*!-F*tr) - 2*tn* (E1*t.-F*E.r)* (1-fr1) = 7.787* (1*0.375-1*0.2095' )- 2*0.25* (1 * 0 .3 7 5 - 1* 0 . 20 9 6 ) * (1 - 1) = 1.288 in^2 = 2* (C+tn)* (81*t-F*Cr) - 2*t.n* (81*t-F*tr) * (1-f11) = 2* (0.375+0.25) * (1*0.375-1*0.2O96) - 2*0.25* (1*0.375-1*0.2096) * (1'1) = .Zgt rn 2 A2 = smaLler of Ehe following = 0.289 in^2 = 5* (tn - trn) *fr2*t = 5* (0.25 - 0.0187)r1*0.375 = .434 in^2 = 5* (tn - E.rn)*fr2*tn = 5* (0.25 - 0.0187)*1*0.25 = .289 irl^z A4! = Leg^2*fr2 = 0.25^2*1 = .063 in^2 Area = A1 + A2 + A41- = 1.288 + 0.289 + 0.063 = 1.54 in^ 2 As Area > A the reinforcement is adequate for ltAP = 83.06746 aE 70 Deg F 3.L2.Lg95 ""'o DocNo. V,l9J{74 Ptr.lr nf N2-1ST ROVI.RIGHT Area required A = d*tsr*F + 2*tnrtr*F* (1 _ fr1) = 7.5r0.2096*1+ 2* 0 .2 5 * 0 .2 0 9 5 * 1* (1 _ 1) = L.572 i-n^2 Area awailable A1 = f4rgsr of the following = r.24 LrL^2 = d* (E1*t_F*tr) _ 2*En* (EI*t_F*tr) * (1_fr1) = 7.5* (l" * 0 . 37 5 - 1* 0 . 20 9 6 ) - 2*0.25* (1*0.375-1*0.t6951*(r-1) = L .24 i-n^2 = 2* (E+t.n)* (E1*E_F*tr) _ 2*tn* (E1*t._F*tr) * (1_f11) = 2* (0.375+0.25)* (1*0.375-1*0 .20961 - 2*0.25* (1*0.375-1'r0.2096)* (1-1) = .207 in^z Ar€d = A1 +A2 +A41 = 4.24 + 0.289 + 0.053 = I .592 in^ 2 As Area > A the reinforcement is adequate for MAp = 93,06746 aE, 70 Deg F C'lleck the welds - From ItW-16 (d) : Emin = lesser of 0.75 or tn or E, tmin = 0.25 in t1 or t.2 (min) = lesser of 0.25 or o.?*tmin, tl(min) = 0.175 in t1 (actual-) = 0.7*Leg = 0.7*0.25 = 0.175 in t2 (actual) = 0.1875 in t1 + t2 = 0.3625 >= 1.25*!min The weld sizes for t.1 and t2 are saE.isfactory. ItG-45 Nozzle Neck ltrickness Check wa11 thickness per UG-45(a) : trl = 0.0187 in (E = 1) wa1I thickness per UG-45(b) (1): tr2 = 0.2095 in walI E.hickness per UG-16(b) : Er3 = 0 .0525 in Srd pipe waII per UG-4s(b) (a) : tr4 = 0.28175 ia The greater of tr2 or tr3: tr5 = 0.2096 in The lesser of tr4 or tr5: tr5 = 0.2096 in Reqrd per UG-45 is the larger of tr1 or tr6 = 0.209G in Available nozzle wall thickness new. tn = 0.25 in Tbe nozzle neck thickness is adeguate for MAp. Allowable stresses in ioints ttc-45 (c) and Uw-15(c) 3.12.1995 REVO DocNo. Vl9-t.o?a rr2-lsT ROV|-RrGIfr croove weld in tension = 0.14*!87e0 - 12358 psi Nozzle wal"l in shear = 0.7*16700 = 11690 psi Inner fillets weld in shear = 0.49*16700 = 8183 osi St.rength of welded joints: (1) Inner f iJ.IeE. weld in shear (Pi/z) *Nouzle O.D.*Leg*Si = 1.57*8*0.25*8183 = 25694.62 lbf (3) Nozz1e wall in shear (Pi/21*14s.. nozzle dia.*tn*Sn = I.5'7*7.75*0.25*11590 = 35559.52 1bf (4) Groove v/e1d in tension (P,i/2)*Nozzle O.D.*ti{*Sg = 1.57*8*0.1875*12358 = 29103.09 1bf Loadinq on welds oer IIG-41 (b) (1) W = (A - (d - z*tn) * (81*E. - F*tr) )*Sv = (1.6322 - (7.787 - 2*O.25)*(1*0.375 - 1* 0 .2 0 9 5 ) ) * 16 ? O O = 7129.734 tbf W1-1 = (A2 +A5 +A41 + A42)*Sv = (0.289 + 0 + 0.053 + 0)*L6700 = f,d /d.4 IDr W2-2 = (A2 + A3 + A41 + A43 + 2*bn*t*fr1)*Sv = (0.289 + 0 + 0.053 + 0 + 2* 0 .2 5 * 0 .3 ? 5 * 1) * 16 7 0 0 = 9009.55 1bf Load for path 1-1 lesser of W or W1-1 = 5878.4 lbf Path 1-l- Thru (1) a (3) = 25694,62 + 35559,52 = 6!254.14 lbf Pat.h 1-1 is stronger Ehan W1-1 so it is acceptable per UG- 1(b) (1) Load for path 2-2 lesser of W or U2-2 = 7L29.734 ]-.bf PaEh 2-2 Thru (1), @) = 25694.62 + 29Le3.09 = 5a797.71 1bf PaEh 2-2 is stronger than W so it is accepEable per Uc-41 (b) (2). Reinforcement ealculations for External pressure Lirnits of reinforcement UG-40 Parallel Eo the vessel vral-l d = 7.787 in Normal to the vessel wall outside 2,5* (tn-Ch) + te = ,825 in Normal to t.he vessel wall inside 2.5* (E,n-Cn-C) = .525 in Determination of Chord Length Thetal = Arccos ( (Lo + Rl1)/Rm) = ArcCos((22.G6 + 3.7s) /e4.39945) = 7r.76306 Theta2 = ArcCos ( (f,o - Rn) ,/Rm) = Arccos ( (22.66 - 3 .7s) /94 .38945) REVO 3 .12 .1995 DocNo. Va9-l-07a N2-1ST ROW-RIGHT = 77.05763 d = 2*Rm*Sin( (Thera2 - Theral)/2) = 2*84.38945*Sin( (77.05153 - 7I.'76306)/2) = 7,787 i^ Nozzle reouired thickness r,/Do = 3.083,/8 = .3854 Do/t = 8/0,01962 = 4Q7.7472 From tab]e e: A = 0.000437 From table IIA-3: B = 4858.3 Pa= 4*B/ ( 3 *Dolt ) = 4*4858.3/ (3*8/0.01962') = 1s .8856 psi Nozzle reguired Ehickness trn = .01962 in Required thickness tr from Uc-37(d) (1) = .i?89 in Area reouired A.llowable stresses: Sn = I47OO, Sv = 14?00, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = lesser of 1or Sn/Sv so fr2 =1 A = 0.5*(d*Er*F + 2*tnrtr*F*1f _ frl)) = 0.5* (7.787*0.2789*I + 2*0.25*0.2789*t* (1 - 1)) = 1.0859 in^z Area available Al, = l-arger of the following = .148 irf'2 = d* (E1*t-F*tr) - 2*gn* (Et*t.-F*tr) * (1-fr1) = 7.787* (1*0.375_1*0.2789) _ 2*0.25* (1 * 0 ,3 7 5 _ 1 * 0 .2 7 g 9 ) * (1 _ 1 ) = .748 r,r^2 = 2* (t+Ln) * (E1*t_F*tr) _ 2*tn* (81*t_F*tr) * (1_frl) = 2* (0.375+0.25)* (1*0.375-1*0.2789, - 2*O.25*(1r0.375-1*0.2789) * (1-1) = .L2 i-'n^2 A2 = smaller of E.he following = 0.288 in^2 = 5* (tn - trn) *fr2*t = 5*(0.25 - 0.O1-962't*1*0.375 = .432 j-rl^2 = 5* (tn - t.rn) *f r2*E.n = 5* (0,25 - O.01962)*1*0.25 = .288 in^2 REVO 3.t2.L996 Dac No. vall.{7{ N2-1ST ROW-RIGIfT A4L = Leg^2tfr2 = 0.25^2*1 = .063 in^2 Area = A1 +A2 +A4L = 0.748 + 0.288 + 0.063 = 1.099 in^2 As Area > .A lhe reinforcement is adequatse for Pe = 15 -82647 aE 400 Deg F Reinforcement check in the plane parallel to the long. axis Area reouired A = 0.5*(d*tr*F + z*tn*tr*F*(l_ - frl)) = 0.5t (7.5*0 .2789*I + 2*0 .25*O.2789rLt (1 - 1) ) = l-.045875 in^ 2 Area available A1 = larger of the following = .72L in^2 = d* (E1*E.-F*t.r) - 2*tn* (81*t-Frtr) * (1-fr1) = '7.5*(1*0.375-l-*0.2789) - 2*0.25* (1*0.375-1*0.rt991* (r-1) = -'l2r ir.^ 2 = 2* (t.+t.n)* (81*t-F*tr) - 2*En* (81*E-F*tr) * (1-fr1) = 2t (0.375+0.25)*(1*0.375-1*0.2789)- 2*0.25*( 1 * 0 .3 ? 5 - 1t 0 .2 7 I 9) * (1 - 1) = .r2 in^2 Area = A1 +A2 +A41 = O.72! + 0.288 + 0.063 = 1-.072 i'r^ 2 As Area > A the reinforcement is adeguaEe for Pe = 15 .82647 ag 400 Deg F IIG-45 Nozzle Neck Ttrickness Check wal1 thickness per UG-45(a) : tr1 = 0.0t962 in (E = 1) 91a11t.hickness per UG-45(b) (2) : lr2 = 0.0454 in WaIl thickness per UG-16(b) : tr3 = 0.0625 in SEd pipe waI1 per UG-45(b) (a) : tr4 = 0.28175 in The greater of Er2 or tr3: tr5 = 0.0525 in The lesser of Er4 or ErS: 116 = 0.0625 in Req'd per UG-45 is the larger of t'r1 or Er6 = 0.0625 in Availabfe nozzle wall thickness new, tn = 0.25 in The nozzle neck Chickness is adequace for Pe. REVO 3.L2.1996 DocNo. V4!l-074 N4 - 2I[D ROI{-RIGHT Openinq N4 Reinforcement. Calculations Per IrG-37 Locatsed on: 84N F&D HAM HEAD User input wessel Ehickness: .375 in Liquid staEic head included: 0 psi Flange description: NoE installed Nozzle material specif ication : SA 240 3O4L HIGH Nozzle orient.ation: 28.03 degrees End of nozz]e to datum line: 15.6279 in Nozzle calculated as hillside: yes Projeclion outside ves6e1 Lpr: 3.057 in En -> corrosion allow = 0in <-d-> noz Ehick new t.n= ,25 in t.w1-> nozzle id. new d= " ( iYl fi1let weld tw1 = .25 in qroove weld tw2 = ,l-875 in <- R -rl To head center R= 23.01 in Reinforcement Calculations For Nozzle MAIIP Limits of reinforcement IJG-40 Parallel E.o the vessel wa1I d = 7.795 ln Normal to the vessel wal1 outside 2.5* (tn-Cn) + te = .625 in Normal- t.o Ehe vessel wall inside 2.5* (tn-Cn-C) = .525 in Determination of Chord Lenqth Thetal = Arccos ( (Lo + Rn) ,/Rm) = Arccos ( (23.01- + 3.75) /84.35505) = 7t.50487 Theta2 = Arccos ( (Lo - Rn) /Rm) = ArcCos((23.01 - 3.7s)/84.35s05) = 16.8022 d = 2*Rm*Sin((Theta2 - Thetal)/2) = 2*84.35505*Sin( (76.8022 - 7r.5O4e7!./2) = 7 .796 i.n Nozz1e reouired thiclsress Ern = P*Rn/(Sn*E - 0.5*p) = 83.26131*3.15/(16700*1 - 0.6*83,25131) = 0.0188 in REVO 3.L2.L996 DocNo. Va9-l-074 N4-2ND ROW-RIGTTI Required thickness tsr from UG-37(al (1) tr= P*L*M/ (2*S*E - 0.2'tP) = 83.26131*84.25*I/ (2*15700*1 - 0.2*83 .25131-) = 0.2101 in Area reguired Allowable sEressesi Sn = 16700, Sv = 15700, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = lesser of 1or Sn/Sv so fr2 =1 A = d*tr*F + z*tn*Er*F* (1 _ frl) = 7.796*0.2101-*1+ 2*0.25*O.2101*1*(1 _ 1) = r.6379 ill^ 2 Area awailable A1 = larger of t.he following = 1.286 in^2 = d* (E1*t-F*tr) - 2*tn* (E1rt-Frtr)* (1-frl) = 7.796* (1 * 0 .3 7 5 _ 1 * 0 .2 1 0 1 ) _ 2*0.25* (1 * 0 .3 7 5 - 1* 0 .2 1 0 1 ) * (1-L) = 7 .286 in^ 2 = 2* (t+tn) * (81*E-F*tsr) - 2*tn* (EL*t-F*tr) * (1-fr1) = 2* (O.375+0.25) * (1*0.375-1*0.27OL) - 2rO.25*(1*0.375-1'r0. 2101) * (1-1) = .205 in^2 A2 = smaller of the foLl-owinq = 0.289 in^2 q* at-n - t-rl.l\ *f?.t*F 5' (0.25 - 0.0188)*1*0.375 .433 i-n^ 2 q* ar-'i - f a-n\ *f '.t*r-n 5* 10.25 - 0.0188)*1*0.25 .289 in^2 A41 = Leg^ 2 * fr2 = 0.25^2*1 = .053 in^2 Area = A1 +A2 +A4_ = 1.286 + 0.289 + 0.063 = 1.638 in^2 As Area > A the reinforcemenE is adequate for MAWP= 83.25131 at 0 Deg Reinforcement check in the plane garallel to the long- axis Area required A = d*Lr*F + 2*tn*Er*F* (1 - fr1) 3 .12 .1996 REVO DocNo. V49-lJ?4 N4 - 2I[D ROW-RIGI{I = ? .5*0 .2101_*1+ 2*O.25*0 .21,07*7*(1 - 1) = L.57575 ir.'2 Area available A1 = Larger of Ehe following = )'.237 !rL'2 = d* (E1*t.-Fttr) - 2*tn* (E1*t-F*tr) * (1-fr1) '7 = .5* (1 * 0 .3 7 5 - 1* 0 .2 1 0 1 ) - 2*O.25* (1*0.375-1*0.2101)* (1-1) = I.237 i;:^ 2 = 2* (t.+t.n)* (E1*E.-F*tr) - 2*tn* (81*t-F*tr) * (1-f 11) = 2* (0.3?5+0.25)* (1*0.375-1*0.2101) - 2rO.25t (1*0,375-1*0.2101) * (1-1) = .206 i-rr^2 Area = A1 +A2 +441 = 1,.237+ 0.289 + 0.063 = 7.589 ilr^ 2 As Area > A the reinforcement is adequatse for MAWP= 83.26131 at 0 Deg F eheck the welds - From IIW-16 (d) : Emin = fesser of 0,75 or tn or t, tmin = 0.25 in t1 or t2(min) = lesser of 0.25 or O.?*Emin, t1(min) = 0.175 in t1(actual) = 0.?*Leg = 0.7*0.25 = 0.175 in t.2(actual) = 0.1-875in t1 + t2 = 0.3525 >= 1.25*tmin The weld sizes for c1 and E2 are satsisfactory. UG-45 Nozzle Neck T'hickness Check wal1 thickness per UG-45(a): !r1 = 0.0188 in (E = 1) Wal1 thickness per Uc-as(b) (1): tsr2 = 0.2101 in WaII thickness per UG-15(b): Er3 = 0.0625 in Std pipe wall- per UG-45(b) (4): tr4 = 0.28175 in The greaEer of Er2 or E.r3: tr5 = 0.2101 in The lesser of tr4 or tr5: tsr5 = 0.2101 in Req'd per UG-45 is Ehe farger of tr1 or E.r6 = 0.2101 in Available nozzle waII E.hickness new, En = 0.25 in The nozzle neck thickness is adequate for MAWP. Al losable stresses in ioints Uc-45 (c) and IIT{-15(c) Groove weld in tension = 0,74*!6700 = 12358 psi Nozz1e wall- in shear = 0.?*16?00 = 11690 psi Inner filLet weld in shear = 0.49*16700 = 8183 psi Streng|th of nelded joints: 3.1 2.L996 REVO DocNo. V{}l'071 N4-2ND ROW-RTGT T (1) Inner fillet weLd in shear (Pil2) *Nozzle O.D.*Leg*Si = 1 , 5? * 8* 0 . 2 5* I 1I 3 = 25694.62 ]-bf (3) Nozzle waII in shear (Pil21*1r1g.rnozzle dia.*E.n*Sn = L.57*7.?5*0.25*11690 = 35559.52 (4) Groove weld in Eension (Pi/2) *NozzLe O.D.*t.w*Sg = 1.5?*8*0.1875*12358 = 29103.09 lbf Loadino on welds per ltc-41{b) (1) w = (a - (d - 2*tn) * (81*t. - F*tr) )*sv = (1.5379 - (7.796 - 2r,0.251*(1*0.375 - 1*0.2101))*16700 = 7260.986 1bf W1-1= (A2+A5+A41 + A42)*Sv = (O.289 + 0 + 0.053 + 0)*16700 = 5878.4 lbf W2-2= (A2 +A3 +A41 + A43 + 2*tn*t*fr1) *Sv = (0.289 + 0 + 0.063 + 0 + 2*0.25*0.375*1)*16700 = 9009.5s lbf Load for paEh 1-1 lesser of W or W1-1 = 5878.4 lbf Path 1-1 Thru (1) & (3) = 25694.62 + 35559.52 = 61254.14 lbf Path 1-1 is stronger E,han W1-1 so iE is acceptable per UG-41(b) (1) Load for path 2-2 lesser of W or W2-2 = 7260.985 1bf Path 2-2 Thru (1), ( ) = 25694.62 + 29rO3.09 = 54797.?1 lbf PaEh 2-2 is stronger than w so it is acceptable per UG-41(b) (2) Reinforcement ealculations For Nozzle MAP Limits of reinforcement ltc-40 Parallel to the vessel wall d = 7.796 in Normal to the vessel waLl outside 2.5* (tn-en) + t€ = .625 in Normal to the vessel wa11 inside 2.5* (tn-Cn-C) = .625 in Determination of Chord Lenqth Thetal = ArcCos ( (Lo + Rn) /Rm) = Arceos( (23.01 + 3.75) /84.3548) = 71 .50481 Thet.a2 = Arccos ( (r,o - Rn) /Rn) = Arccos( (23.01 - 3.?5) /84,3548) = ?5.80215 d = 2rRm*Sin((TheEa2 - Theta]-)/2) = 2*84.3548*Sin ( (76,8O2I5 - 7I.5O48t')/2) = 7.196 in 3.L2.L995 REVO nocNo, v4$l'071 N4 -zND RO}I-RIGITT Nozzle required thickness trn = P*Rn/(SnrE - 0.5rP) = 83.06746*3.75/(t6700*1 - 0.5*83.05?46) = 0.0187 in Reduired thickness tr from ltc-?7(a) {1) tr= P*L*M/ (z*S*E - 0.2*P) = 83.06746*84.25*L/ (2*I57O0*1 - 0.2*83,067461 = 0.2096 in Area reouired AlLowable stresses: Sn = 16700, Sv = 16700, psi fr1 = lesser of 1or Sn/Sv so fr1 =1 fr2 = lesser of 1 or Sn/Sv so fr2 =1 A = d*tr*F + 2ttn*tr*F* (1 _ fr1) = 7.796*0.209G*1+ 2* 0 .2 5 * 0 .2 0 9 G * 1* (1 _ 1) = 1.534 in^2 Area availalf,Ie A1 = larger of the following = r.289 ir.^2 = d* (81*t-F*tr) - 2*tn* (81*t.-F*Er)* (1-fr1) = 7 .796*(1*0.375-1*0 .20951 - 2*0,25* (1 * 0 .3 7 5 - 1* 0 . 20 9 5 ) * (1-1) = 1 .289 in^2 = 2* (t+tn) * (81*t-Frtr) - 2*tn* (E1*t,-F*tr) * (1-f11) = 2* (0. 375+0.25)* (1*0.375-1*0.2096\ - 2*O.25*(1*0.375-1*0. 2096) * (1-1) = .2O7 j.n^2 A2 = smafler of the foI10wing = 0.289 in^2 = 5* (tn - trn) *fr2*E = 5* (0.25 - 0.0187)*1*0.375 = .434 in^z = 5* (En - trn) *fr2*t.n = 5r (0.25 - 0.0187)'t1*6.25 = .289 j-rr^2 A41 = IJeg^2*f 12 = O.25^2*r = .053 in^2 Area = A1 +A2 +A41 = 1.289 + 0.289 + 0.063 = 1.641 in^2 As Area > A t.he reinforcement is adequaEe for MAP = 83.06745 at 70 Deg 3.L2.1996 REVO DocN!. V{91-t}74 N4-2I[D ROT{-RIGITI Reinforcement check in the plane parallel to the long. axis Area restired A = d*tr*F + 2*tsn*tr*F*(1 - frl) = 7.5*0.2O96*L + 2*0.25*0.2096*I* (1 _ 1) = t .572 in^ 2 Area available A1 = larger of the following = t-24 i-n^2 = d* (E1*t,_F*tsr)_ 2*tn* (E1*t_F*tr) * (1_fr1) = 7 .5* (1*0.375-1*0.2095) - 2*0.25*(1*0.375-1*0.2096) * (1-1) = L.24 in^2 = 2* (t+tn) * (E1*E_F*tr) _ 2*tn* (E1*t_F*tr) * (1_fr1) =.2*(0.375+0.25)*(1*0.3?5-1.*0.2096)- 2*O.25* (1 * 0 . 3 7 5 - 1 * O. 2 0 9 5 ) * (1 - 1 ) = .207 in^2 Area = A1 +A2 +A41 = L24 + 0.289 + 0.053 = 1 .592 in^2 As Area > A Ehe reinforcement is adequate for MAP = 93.06746 at 70 Deg F Check the welds - From ItW-16 (d) : Emin = lesser of 0.75 or tn or t, tmin = 0.25 in tl- or t2 (min) = lesser of 0.25 or o.7*tmin, t1 (min) = 0.175 in t1(acE.ual)= 0.7*Leg = 0.7*0.25 = 0.175 in t2 (actual) = 0.1875 in !1 + t2 = 0.3525 >= 1.25*Emin The r^'eld sizes f or !1 and E.2are satisfact,ory. UG-45 Nozzle Neck Thickness eheck Wal-l t.hickness per UG-45(a) | Er:- = 0.0i-87 in (E = 1) wa11 thickness per Uc-as(b) (1): Et2 = 0.2096 in WalL thickness per Uc-15(b): tr3 = 0,0G25 in Std pipe waII per Uc-45(b) ( ): tr4 = 0.281?5 in T'he greaE.er of Er2 or tr3 : Lr5 = 0 .2095 in The lesser of tr4 or trs: 116 = 0.2095 in Req'd per UG-45 is the larger of tr1 or tsr5 = 0.2095 in Available nozzl-e wall t.hickness new, tn = 0.25 in The nozzle neck thickness is adequate for MAp. AllowaIlle st.resses in ioints UG-45(c) and ItW-15(c) 3 .12 .1996 REVO DocNo. Vallff{ N4 -2IID ROW-RTGITT Groove weld in tension = 0.74*76700 = 12358 psi Nozzle r^rall in shear = 0.7*16700 = 11590 psi Inner fillet weld in shear - 0.49*!6700 = 8183 osi Strength of nelded joints: (1) hner fillet weld in shear (Pi/2) *Nozzle O.D.*Leg*Si = 1 . 57 * I * 0 . 25 * I 1I 3 = 25694.62 ]-bf (3) Nozzle wall in shear (Pil21*14."tt nozzle dia.*tn*Sn = !.57*7.75*0.25*11690 = 35559.52 lbf (4) Groove weld in tension (Pi/2) *Nozzle O.D.*tw*Sg = 1.57*8*0.1875*12358 = 29103.09 1bf Loadinq on welds per ltc-41 (b) (1) W = (A - (d - z*tn)*(81*E. - F*tr))*Sv = (1.634 - (7.796 - 2*O.251*(1*0.375 - 1*0.2096)) *15700 = 7134.934 1bf W1-1 = (A2 + A5 + A41 + A42) *g-, = (0.289 + 0 + 0.063 + 0)t15?00 = 5878.4 1bf W2-2 = (A2 + A3 + A41 + A43 + 2*En*t*fr1) *Sv = (0.289 + 0 + 0.063 + 0 + 2* 0 .2 5 * 0 .3 7 5 * 1) * 16 7 0 0 = 9009.6s lbf Load for palh 1-1 lesser of W or W1-1 = 5878.4 Ibf PaEh 1-L Thru (1) c (3) = 25594.62 + 35559.52 = 61254.14 lbf Path 1-1 is stronger than w1-1 so it i.s acceptable per UG-41(b) (1). Load for patsh 2-2 lesser of W or w2-2 = 7134.934 lbf Path 2-2 Thru (1) , (+) = 25694.62 + 29]-03.O9 = 54797.71 1bf PaEh 2-2 is stronger than W so it is acceptable per UG-41(b) (2). Reinforcement ealculations for Bxternal Pressure Linits of reinforcement tKl-40 Paralle1 to the vessel waII d = 7.796 in Normal to the vessel wal1 outside 2.5* (tn-Cn) + t.e = .525 in Normal to t.he vessel waI1 inside 2.5* (En-Cn-C) = .625 in Determination of Chord Length Theta1 = Arccos ( (Lo + Rn) /Rm) = Arccos( (23.01 + 3.75)/84.38935) = I L. )LZOO Theta2 = Arccos ( (Lo - Rn) /Rm) = Arccos((23.01- 3.75)/84.38935) - 3 -L2.L9s5 .;;; DocNo. va9-1.0?.1 Pt" lrt " 'l N4-2ND ROW-RIGIfT = 16.80766 d = 2*Rmrsin( (TheEa2 - TheEal)/2) = 2*84.38935*Sin ( (76.80766 - 7L.fi.2661/2') = 1,796 in Nozzl-e reouired thickness L/Do = 3.0s7/8 = .3821 Oo/E = 8/O.0L96r = 407.9551 From E.abl-e e: A = 0.000441 From t,abIe HA-3: B = 4856,1 Pa= 4*B/ (3*Do/t ) = 4*4866.t/ (3*8/0. 01961) = 15.904 psi Nozzle required thickness E.rn = .01961 in Required thickness tr from U'c-3?(d) (1) = .2787 in Area reoui red Allowable st.resses: Sn = 14700, Sv = 14700, psi fr1 = l-esser of 1or Sn/Sv so fr1 =1 fr2 = l-esser of l- or Sn/Sv so fr2 =1 A = 0.5*(d*Lr*F + 2*tn*tr*Fr(1 _ fr1)) = 0,5* (7 .196*0 .2787',! + 2*0 .25*0 .2787*L* (1 - 1) ) = 1 .0854 in^2 Area awailable A1 = larger of Ehe following = .75a !n^2 = d* (81*t_F*tr) _ 2*tn* (El_*t_F*tr) * (1_fr1) = 1.796* (1*0.375_1*0.2787)_ 2*0.25* (1*0.375_1*0.22e21*11_11 = .75L in^ 2 = 2r (E+En)* (E1*t-F*tr) - 2*t'n* (81*t,-F*tr) * (1-fr1) = 2*(0.375+0.25)*(1*0.375-1*0.27871- 2*0.25* (1j.0.375-1*0.2787)*(I-a'l = .12 in^2 A2 = smaller of Ehe foJ,l0wing = 0.288 in^2 = 5i (tn - trn) *tr2*E = 5* (0.25 - 0.01951)*1*0.3?5 = .432 in^2 = 5* (En - trn) *fr2*tsn = 5* (0.25 - 0.01961)*1*0.25 = .288 in^2 REVO 3.L2.L996 Do.No. V{9-l-0t{ N4 -2I[D ROW-RIGTTT A41 = Leg^2 * fr2 = 0.25^2*1 = .063 in^2 Area = A1 +A2 +A41 = 0.751 + 0.288 + 0.063 = 1.102 in^2 As Area > A Ehe reinforcemen! is adequate for Pe = 15.82547 at 400 Deg Reinforcement check in the glane parallel to the long- axis Area required A = 0.5*(d*t.r*F + 2*En*Er*F*(1 - fr1)) = 0.5* (7.5*0.2781*I + 2*0.25*0.2787*t* (1 - 1)) = 1.045125 in^2 Area available A1_= larger of the following = .722 irL'2 = d* (E1*t-F*t.r) - 2*tni (E1*t-F*tr)* (1-fr1) = 2.5* (1"*0.375-j.*0 .2797]t - 2*0 .25* (1 * 0 . 37 5 - 1i 0 . 2Z I 7 ) * (1- 1) = .722 !n^ 2 = 2* (t+tn) * (E1*t-F*tr) - 2*tn* (EL*t-F*t.r) * (1-f11) = 2* (O.375+0. 25) * (1*0.375-1*0.2787) - 2*O.25*(1*0. 375-1*0 .27871 * (L-I) = .r2 j-n^ 2 Area = A1 + A2 + A41- = 0.722 + 0.288 + 0.063 = r.073 in^2 As Area > A the reinforcement is adequate for pe = L5.82647 at 400 Deg UG-45 Nozzle Neck T'hickness Check WalI E.hickness per UG-45(a): trl = 0.01951 in (E I{a1l thickness per UG-45(b) (2): tr2 = 0.0454 1Yl WalI thickness per UG-16(b) : Lr3 = 0.0525 1n SEd pipe ?tall- per UG-45(b) (4): tr4 = 0.28!75 The greater of trz or tr3: tr5 = O.0625 1n The lesser of Er4 or tr5: tr6 = 0.0625 in Req'd per UG-45 is the larger of cr1 or tr6 = 0.0525 in Available nozz]-e wall thickness new, tn = 0.25 in The nozzl-e neck t.hickness is adequatse for Pe. REVO 3 .12 .1995 Doc No, v491.07{ ENGINEERING NO:./0L..'-1-048 CALCULATIONS DESTG}*J atr llAM I,Jo?_:_LE J 4c1411,16- I3OLT As5tr',',i..r F_S PROJECT:L\6O VACuUrr, f:-(CJr?viF_rJr PROJECTNOT\_/e,9 O/.9 AEe- Bc;t>-1 (>1: L./J.'J-UL/..Ttc|,J CALCULATIOn*S: (SEEATTACH ED) I{OTES: vo49 -l -o48 Pr Thcobjeclive of thiscalculalion islo parformlhc slructutaldcsign and analysis for lhe JackingEotl Assemblieson the HoIEonial Access Module Chambet (HAM} bellorvs no=le. 2.0[r_E_rHoD oJ AlArysr$ J coirPUTER PROGRAM$ & VFRSIo-I No compulerprogrsms afe used in theexeculion of lhis calculstionl JackingBolls are placed in localionsthsl will permiloperaiion without inlerferences wilh othercomponenls. The overall design musl nol permil 6rry of lhecomponenls lo exlend ov€rthe flange face brcauss of restrictionsin lhe removal oflhe adjacenl sdapler. TheJacking Boll Assembfy componenls are designed lo NSC allowableslresses an,J by manualdesign methods for lhe grealerof lwocondilions: r Installalionend equipmenl servicing dunng which time bellows spring forces act but no pressufeloads exisl. . HAt"lVessel frec stsnding fuli vacuurn pressure tesl lryilh bell0rvs pressure loads acling onlh* jackingass*mblies. \n/sldseie siredby lraditi0nsl manual caiculati0ns founC in slanderrdengineering lex!s. 3.0GETEEAL ASSUlrFTrOfl S Noner€quiring conf irmation {$ jE-E!:BgxcEs 1. ASlvlEBoiler and Pressure Vessel Code, Seclion Vlil, DMsion l, 1995Edilion 2. Roark& Young,Formulas for Stress and Slrain, Fifth Editlon 3. Blodgett,Deslgn of Welded Structures y'd'tl ' | - o 6' c 4. LIGOVacuum Equipmenl Slnrclural Dcsign Crileria , Da-. lo. 9. AISCSte?l Construcllon Manual 6.0eoxcLuqrors TheJacking Bolt ori0ntslion around the FlAIdl noaCe 9nd the sssembly componenl delails arefound in the body of lhis calculation "D" Thelocalion oflhe nozle{eleetricsl/inslr. feedlhroughs, ullllty) localed on lhe venical centerlineofthe l-lAM vessel rnBy require relocalion due lo possibleinterfer.nce with lhe jackingbolts and/or ils close proximily tothe '€" nozlejunclure ( spprox. 1') ?i.AL ? or t{ J A cr{tNc. bour c)far3r.jT/rr rcx) "l)' ^ ,1qpa7ue. qro" Q?o- J" '\ N.Y 916 /o iz aaq o \G: ,.(. \o | /// 41- S /l ,E/t ' Az4---->l | ?^, ^ \2. /l'---1 >// d / -- \o /t'\ /6 ^,-io v\ @ t \t,)i- JAc(\D4. BoYT t ln DESIA$ LOAD 5 MMrt*iJr.1 woa.l(lu6\ SfroilJG gA-iE Fo/L Z"TnA'JeL G1zIE+/\^) Cr+1sen,'t t3Eurcws) +/rs U:t- ?600 ForL De'srerJ ooo woAlf Couornot-: ForL 3 Ba,-rs L6ADED (+tg Pro.*r AS: UriE-c, rr-retrtrLCfr"=) ;, trx \G: + Zf, +W-- 6oc) ? F,rt + 4.tFz= o Fz= f t,= .?+t,Fl TFr+,a4lFr=lSoo) -tL Frz G4X-o* Jj- "-\83- t\JEFFELTIV!* Fz= \/{ I \v) UStr- G4os-/i De.trGL) LC>AD9 ( Vrcuur4 TEST ) atF s. - I Rco>4ilaS'^t:+" F= ::3< l5PSrA -;.-.-rr + I .- - -.r_ )L I 'F... : + A?,5xrS = 4m.i' I -]'n FFF +Fr/' 1,14:' ''"'o'"' ' ??o ro -+--+ 00e 7t-F,+lFa= {,oza l.--":-a,. rRcoszq' -^o l_.1 214 tFl ,a -- | ''- I. tZ 2 F1fi:r*4"2-7 F7y':..e=+-'ot-t' F S.i^ 42 = Fzc4224 - si-4?- ,..-) tsr -i- h --'- = ?3c lc -/ ' c zio lo '6e tr.''- - ---=--r-Z sla? Fr 1 f't =7Voto:) /r. c.or4z\ Sttr?.4 tl+ \ Sr^.1?,4/. 'tt- ?zz 148? | _4- Elut== ? - Io?ro+ FzA'{L = l-+8r_l:-Es = lz 3oo+ 2 Fe?z(ru-rr)*1 e.-")? *oto 46oz*> Y+ t ot-o o'< :+tr -, / DEStao Lono t7/boo' /bD VAcuur,a TEST \-pAD GollErt-tlS 6" oF l{ C C>MPo|.,glJ-f DES\GNJ -1t lAcJ(,^rGUufS .l tl , }J o??Lt.= ClEvl: /.,- FL/.\{''L a)G BfLALlcer f?.oD', 'Nf .-.-- PtN c's1ian-e,r. ';:;l\ru-Tn:-| FFF -1 -' -i[ ooo I li OD tt'J" o4174 ao'46' P* re?'"5 6sy+a 'l-| ll/o * r'/"1'\rF-ci bt.fitef> }t)LF- L E r!1)Y/cL to oo-o, l-ff- gcP 6 ROO ( r,r c.or,r iif2.i::55\>tJ) t"b * 3 ++o/v) ':\:t- c>dE EUD FrxF-o orllrrc*E-)rDPlu'JEo lG'3 L--1"3 Iharru A? 2o -B 3 (a"+'/t) F*'- 8o tcsl' = {2,oorDrrt cF T't+i): = i,3a3" f= +1 'Ll '- L Er-s€cave-.= 11/ru+t/* - r" 1 7r' tr- t,KK..r_ I _r I - r c^'z-t( f a t; a_ _"_*..r,. = V3pI + ZE 7 .?_l Fnar'r Alsc- (a- Fy:c;o Fc=44.G-?KSf. Fc= 4+.c"1 x 8o = Z).ll (SlL ,,ncx 9o tz.3 ..- = = 72.btlsL<7)i7l ts'r- Tc- A rt t,eas\ - (roug.E-:ues) \4zo B8 Fr-- lDoKsL F3=.4 F1 = {o t(sT. lzaoo w' P -_ ,tD ,sL =+ ftsg,= '44" iuse 7z-4 er*l/ FA6a ? or- \4 FLA''.Jga LUG A"4) -1.vV@5/s F1 = ?o r(SI- a{eAn- ot'f A. Prd AouF- A f lTVoo I --= a ArfAg z{ t,zixt F"=.4 Ft: tz KsI rtI ooo , lz?oo +rr- - = ,{ llt 2.5Kr2ooo $FAru'u< Ar Fo=1,35F1= -trD5a: esr. n F 12Vd) I _"_.= -,. = 492oc> ? 40Eit,c 'g fa) <\ A eo'l t.: a..t..rj 'ls l?4oo nV @ tf -u_- = 41b60 1m5as ,tnZSA ,S 't44, eLev rs DeTAtr- -l | tl" _r-tt- i I rc" A2+orr€ , ll--i--l f,v tn" lftx aSocHAnf Ptuueratt- }rb '.tt,-= ForL !/g'c*mrru g'"-t * '/"'d r*o Vo49-l'o4I 14 P/+c.a I oF lilename:FULt.ClR,tVR 1 rULLCIRCULaR,TRUNNION FItLET I'JELD BettJeenparl Qro> andpan a' trVtn ; Fa 'oAD IilPUT( LBS.,rNCH.l_BS. ) Fl F2 F3 Ir41 lvl? M3 0.00 12300.00 0,00 0.00 0.00 GE0t"leTRlCDI./€NSIONS iFOR FLAT PLATE$, lt'IPUT D=100'd) dr Op 0.838 r000.000 SECTIOIiPROPERTIES A St4 Jt! rr../ELDSTRESS (PSl) 2.633 0.552 1.103 18000 EFFECTI\ETHROAT CORRECTION FACTOR lvlf r .00 ivlrJ(il.Mvi\j,JELDLOAD {fi -#INCH 16?? REOUIREDFILIET T/'/ELD SIZE (INCHES) W 0.387 U5E 73 F --e-' ';'rF:'-D vo49-t-043 fAc.a c7 c;: t{ filename:FULLRECT.V,/Fl ALLAROUND RECTANGULAF OR SQUAREFILLET I.\'ELD 8ellreenparl FLANGL LLJC'\and parr FuasraE. ._'.f_ 'i ,'' r t-l ?i FL- vt4, I I .i ,.4._. LCAD|NPUT ( LBS, |NCH-L8S) F1 F2 F3 r.41 M3 0.00 r2300.00 0.00 1e451.00 0.00 0.00 GEOhTETRtCD h,1E|*St0NS a b \^/EtDSTRESS (PSl) SKEITEDAl,lGLE{90">s<1 20'} 3.000 0.025 18000 s0.000 9ECTIONPROPERTIES A Sl*l 3t",3 c1 cx 7.250 4.875 2.00s 7.939 1.500 0.313 EFFECTIVETHROAT CORRECTIO N FACTOR MI 1.00 tvlA,\h4,t'iltruELD LOAD (0 -I#INCH I 5+81 REAUnEDFTLTET y/ELD SIZE (TNCHESI t,l 0.431 UsE I Fr.uer \4sLD \o4q -l - o43 FAc.e lJ oF l+ filcnatne: CHNL_\r'lLD.l./R 1 cftJAtiHEL-SIIAPEDFiLLET WELDS NOTE:FOE Att" AROUND trdE[D USE {nr2 TO SIZE V,/ELD LEG eetttccnparr flAM N)??r-E andpart NO?A-LE- ERAct-.li;f t F-r hL 4.---t ll -t- . _Fr ( .h rn I.OADINPUT { LBS, INC:H,LBS.I Fl 12 til1 l',42 tt3 12300.00 0 00 0.00 000 0.00 4.1513.00 GEOIyIETRlC D FvENSIO NS a b bJELDSTftESS SKEwEDAl.lG LE(90'> B< 1 35' I 6.000 4.000 1e000 e0.000 SECTIONPROPERTIES A Sru t3 J cl c3 14.000 30.000 24.381 I r4.381 3.000 1.143 Cp 2.85't EFFECTMETHROAT CORRECTIOH FACTOR tvlf I .00 h4Axt'/Ll'i,lTJELD IOAD (0 -#INCH f lu1 EOUTREDFILLET WELD StzE (IHCHES) W .Lo u=e FTLLET Auu Aaoo*,o t, '2-' f" 0.388 r.l) 1/16 svvr-r odis'oF- go6e5 (3 sr"es) \io4g -l-oAs PA6e ll oe \{ col.tPRESs4.20 YIar. 27, L996 NO??uA EAEL'- >TfLESS DU|LTTJG Fr.tUuVAc_uur"^ TEST bracket wRC bulletin l-07 design ASUE qode Addenda used - A90 Internal design pressure P =-1.5 psi Design tenperature is =TOdegF corrosion allohrance C : 0 in. Shell inner diameter, new Di = 60.5 in. shel-l thickness, nerrt t = .5 in. Mat'l is exenpt from irnpact testing per UHA-51-( a ) Allowable tensiLe stress s = 18800 psi for sA 240 304 HrGHA88^ Lug length, circ direction ZCl : 6 in. Lug lenqth, Iong direction zcz = 4 !n. Lu(I interface radius = .5 in. Applied Loads RadiaI load Pr= 0 rbf Circunf erential monent Mc= 0lb-in LongitudinaL moment ML= 4 r.513 lb-in CircunferentiaL shear 0 lbf Lonqitudinal shear VL= r.2300 lbf Stresses at the J-ug interface per WRcbulletin 107 Geometric factor gamma = 61 stress concentration factor Kn (tension) : 1 stress concentration factor Kb (bending) = 1 Betal = 9.8360668-02, Beta2 = 9.836066E-02 Circurnferential (hoop) stress psi Fron Val,ue beta Fig. read Au Bu 81 Cu c1 Du D1 pressure sEress* -908 -908 -908 -908 -908 -908 -908 -908 4C* LO. 2)-6 .098 0000 3C* 8.586 .098 0 o 00 2C-L .075 .098 0000 1C .109 .098 o 0 o 3A* 2 .14A .098 o 0 0 1A .09 .109 o o 0 3B* 6.858 .098 -5559 -5559 5559 5559 1B . o42 .098 -14000 l-4000 14000 -l_4000 Tota] hoop stress -20467 7533 18651 -9349 -908 -908 -908 -908 Prinary nembrane -6467 -6467 465L 465). -908 -908 -908 -908 circ. stress* Maxinum prirnary menbrane circ. stress =-6467 psi Allowable primary nembrane circ. stress = *-1 .5*S = +- 28200 psi V o+9-t - 04,'B -2- PA6F:lz+F l+ ylar col'tPRESS4.20 han . 27 , 1996 The naxinun prinary nenbrane circ. stress is within alloltable lirnits Longitudinat (axial) stress Psi From value Fig. read Au Bu Bl Cu Cl Du Dl -454 pressure sEress* -454 -454 -454 -454 -454 -454 -454 4C* 10. 216 .098 0000 3C* 8.586 .098 0000 r.c-L . 111 .098 0000 2C .074 .098 0 o 0 o 4A* 3.234 .098 0 0 o 0 2A .o47 .1L1 0 0 0 0 4B* 2.O74 .098 -L797 -1797 L797 L797 2B . 062 ,1,05 -19288 L9288 19288 -19 288 -454 Total AxiaL stress -21539 17037 2063r -17945 - 454 -454 -454 -454 Prinary nenbrane -225L -225L L343 L343 - 454 - 454 -454 Iong. stress* Maxinum prinary nenbrane long. stress =-2251 psi altowabli prirniry membrane15n9. stress = +-L.5*S = +- 28200 psi The naximum prinary mernbrane long. stress is within alLowable limits Shear stress PSi Loading DI torsion motnent Mt 00 circ. load vc Long. Ioad Vc -2050 -2050 2050 2050 TotaL shear stress 0 -2050 -2050 2050 2050 Vo49-l-648 -3- flire /3 orzl{ CoMPRESS4.20 harfl Mar. 27 , !996 cornbined stress intensity, psi At point --> Au Bf cl D1 Conbined stress -21539 L7037 2063r -r?945 4125 4L25 4L25 4L25 Maxinun conbined stress =-21539 psi Allowab1e combined stress = +-3*S = +- 56400 psi The rnaxirnum cornbined stress is within allovtable Iinits. @Hyspan vo49-l-o48 PACiE 14 cF- 14 tlyspar Fecidlr Podrts. lrc t€E5&ardywrs Arerr.e Cilaa TELECOPI ER TRANSM TTTAL Yst, Cdituria 9t9t 1,U.SA. Ttplorc (6'tg)d?1.trss IeleocFer (6tg)421.1?e rllman|._ r"r*oolono. ZZ fotat numberot pagc6inctuOing this gageJ_. QD-ggt-l