To Given Them Knowledge on Structural, Mechanical Properties of Beams, Columns

LESSON PLAN LP- ch2202 LP Rev. No: 00

Sub Code &Name : CH2202 MECHANICS OF SOLIDS Date:01/06/2012 Unit: 1 Branch: Chemical Engineering Semester : III Page 1 of 6

AIM To given them knowledge on structural, Mechanical properties of Beams, columns. OBJECTIVES The students will be able to design the support column, beams, pipelines, storage tanks and reaction columns and tanks after undergoing this course. This is precursor for the study on process equipment design and drawing.

UNIT I STRESS, STRAIN AND DEFORMATION OF SOLIDS 9

Rigid bodies and deformable solids – forces on solids and supports – equilibrium and stability – strength and stiffness – tension, compression and shear stresses – Hooke’s law and simple problems – compound bars – thermal stresses – elastic constants and poission’s ratio – welded joints – design.

Session Teachin No Topics to be covered Time Ref g Aids Rigid bodies and deformable solids 30 min 1,4,5 Black 1 20 min Board forces on solids and supports – equilibrium and 30 min 2,4,5 Black 2 stability 20 min Board strength and stiffness – tension, compression and shear 20 min 2,4,5 Black 3 stresses 30 min Board Hooke’s law and simple problems 20 min 2,4,5 Black 4 30 min Board compound bars 50 min 2,4,5 Black 5 Board thermal stresses 50 min 2,4,5 Black 6 Board elastic constants and poission’s ratio 50 min 2,4,5 Black 7 Board welded joints – design 50 min 2,4,5 Black 8 Board Problems 50 min 2,4,5 Black 9 Board LESSON PLAN LP- CH2202 LP Rev. No: 00

Sub Code &Name : CH2202 MECHANICS OF SOLIDS Date:01/06/2012 Page 2 of 6 Unit: 2 Branch: Chemical Engineering Semester : III

UNIT II TRANSVERSE LOADING ON BEAMS 9 Beams – support conditions – types of Beams – transverse loading on beams – shear force and bending moment in beams – analysis of cantilevers, simply – supported beams and over hanging beams – relationships between loading, S.F. and B.M. In beams and their applications – S.F.& B.M. diagrams.

Session Teaching No Topics to be covered Time Ref Aids 50min 2,4,5 Black 10 Beams – support conditions– types of Beams Board loading on beams – shear force and bending 20 min 2,4,5 Black 11 moment in beams 30 min Board 50min 2,4,5 Black 12 analysis of cantilevers Board 50min 2,4,5 Black 13 analysis of simply – supported beams Board 50 min 2,4,5 Black 14 analysis over hanging beams Board relationships between loading, S.F. and B.M. in beams 50 min 2,4,5 Black 15 and their applications Board 50 min 2,4,5 Black 16 S.F.& B.M. diagrams Board 50 min 2,4,5 Black 17 Tutorials related to cantilever beam Board 50 min 2,4,5 Black 18 Tutorials related to simply supported beam Board 50min 1,4 Black 19 Tutorials related to over hanging beam Board 50 min 1,4 Black 20 Tutorials 2 Board 50 min 1 Black 21 Tutorial problems Board 22,23 Cat-1 LESSON PLAN LP- CH2202 LP Rev. No: 00

UNIT III DEFLECTIONS OF BEAMS 9

Double integration method – Macaulay’s method – Area – moment theorems for computation of slopes and deflections in beams – conjugate beam method

Session Teaching No Topics to be covered Time Ref Aids 20 min 2,4,5 Black 27 Double integration method 30 min Board 50 min 2,4,5 Black 28 Macaulay’s method Board 50 min 2,4,5 Black 29 Area – moment theorems for computation of slopes Board Area – moment theorems for computation of slopes 50 min 2,4,5 Black 30 and deflections in beams Board 15 min 4,5,6 Black 31 conjugate beam method 35 min Board 20 min 2,4,5 Black 32 Tutorial problems in Double integration method 30 min Board 20 min 2,4,5 Black 33 Tutorial problems in Macaulay’s method 30 min Board 20 min 2,4,5 Black 34 Tutorial problems in Area – moment theorems 30 min Board 20 min 2,4,5 Black 35 Anna university problems 30 min Board Summarizing the topics 50 min Black 36 Board

LESSON PLAN LP- CH2202 LP Rev. No: 00 Sub Code &Name : CH2202 MECHANICS OF SOLIDS Date:01/06/2012

Unit: 4 Branch: Chemical Engineering Semester : III Page 4 of 6

UNIT IV STRESSES IN BEAMS 9

Theory of simple bending – assumptions and derivation of bending equation (M/I = F/Y = E/R) – analysis of stresses in beams – loads carrying capacity of beams proportioning beam sections – leaf springs – flitched beams – shear stress distribution in beams – determination of shear stress in flanged beams

Session Teaching Aids No Topics to be covered Time Ref 50 min 2,4 Black Board 37 Theory of simple bending assumptions and derivation of bending 20 min 2,4 Black Board 38 equation (M/I = F/Y = E/R) 30 min 20 min 2,4 Black Board 39 analysis of stresses in beams 30 min 40 loads carrying capacity of beams 50 min 2,4 Black Board 20 min 2,4 Black Board 41 proportioning beam sections 30 min leaf springs 20 min 2,4 Black Board 42 30 min

43 flitched beams 50 min 2,3,5 Black Board shear stress distribution in beams 20 min 2,3,5 Black Board 44 30 min determination of shear stress in flanged 15 min 2,3,5 Black Board 45 beams 35 min

46 Summarizing the topic 50 min Black Board 47,48 Tutorial problems LESSON PLAN LP- CH2202 LP Rev. No: 00

UNIT V TORSION 9 Torsion of circular shafts – derivation of torsion equation (T/J = C/R = G0/L) – stress and deformation in circular and hollow shafts – stresses and deformation in circular and hollow shafts – stepped shafts – shafts fixed at both ends – stresses in helical springs – deflection of springs – spring constant

COLUMNS Axially loaded short columns – columns of unsymmetrical sections – Euler’s theory of long columns – critical loads for prismatic columns with different end conditions – effect of eccentricity.

Session Teaching No Topics to be covered Time Ref Aids Torsion of circular shafts – derivation of torsion 50min 2,3,5 Black 49 equation (T/J = C/R = G0/L) Board stress and deformation in circular and hollow shafts 50min 2,3,5 Black 50 Board OHP stresses and deformation in circular and hollow 20min 2,3,5 Black 51 shafts 30min Board 50 min 2,3,5 Black 52 stepped shafts Board shafts fixed at both ends 50min 2,3,5 Black 53 Board OHP stresses in helical springs – deflection of springs – 50min 2,3,5 Black 54 spring constant Board COLUMNS m - Axially loaded short columns of 50min 2,3,5 Black 55 unsymmetrical sections Board OHP Euler’s theory of long columns 50min 2,3,5 Black 56 Board

critical loads for prismatic columns with different end 15min 2,3,5 Black 57 conditions – effect of eccentricity. 35min Board

Summarizing the topics 50min 2,3,5 Black 58 Board 59,60 Cat –3 LESSON PLAN LP- CH2202 LP Rev. No: 00

Sub Code &Name : CH2202 MECHANICS OF SOLIDS Date:01/06/2012 Page 6 of 6 Branch: Chemical Engineering Semester : III

Course Delivery Plan:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Week I II I II I II I II I II I II I II I II I II I II I II I II I II I II I II

References:

1. William A.Nash, Theory and Problems of Strength of Materials, Schaum’s Outline Series. McGraw Hill International Editions, Third Edition, 1994. 2. R.K.Bansal, A Text Book Strength of Materials (5th Edition) Laxmi Publications (P) Ltd., New Delhi, 1995. 3. Ramamurutham . A Text Book Strength of Materials (IV edition), Dhanpat Rai & Son 4 Modi .P.N. & Seth .S.M Strength of Materials,Standard Book House 5. Rajput.R.K. A Text Book Strength of Materials, S.Chand & Company

Prepared by Approved by Signature

Name S. SEENIVASAN Prof. H.R. PREMNATH Designation Assistant Professor / Marine HOD/Marine Engineering Engineering Department Department Date 01/06/2012 01/06/2012 TOTAL : 45 TEXT BOOKS 1. Junarkar, S.B., Mechanics of Structure Vol. 1, 21st Edition, Character Publishing House, Anand, Indian, (1995) 2. William A.Nash, Theory and Problems of Strength of Materials, Schaum’s Outline Series. McGraw Hill International Editions, Third Edition, 1994.

REFERENCES 1. Elangovan, A., Thinma Visai Iyal (Mechanics of Solids in Tamil), Anna University, Madras, 1995.