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Department of Civil Engineering SHIVAJI UNIVERSITY, KOLHAPUR BE (Civil) Syllabus Structure SEMESTER-VIII (Part II) Sr. Subject Teaching scheme per week Examination scheme No. L P T D Total Theory TW POE OE Total paper 1 Theory of Structures 3 2 --- --- 5 100 25 --- --- 125 2 Geotechnical 3 2 --- --- 5 100 50 --- --- 150 Engineering-II 3 Engineering 4 --- --- --- 4 100 --- --- --- 100 Management 4 Engineering Geology 3 2 --- --- 5 100 *50 --- --- 150 5 Environment 3 2 --- --- 5 100 25 --- 25 150 Engineering-II 6 SDD-I --- --- --- 4 4 --- 50 --- 25 75 7 Seminar --- 2 --- --- 2 --- 50 --- --- 50 8 **Field Training --- --- --- --- --- --- --- --- --- --- Total 16 10 --- 4 30 500 250 --- 50 800 ‘*’ Includes 25 Marks for Oral based on Term Work. ‘**’ Field Training shall be done in the summer vacation for a period of three weeks which will be assessed at the end of VIIth Semester. 1 Department of Civil Engineering Department of Civil Engineering T. E. Civil Academic Year: 2017-17, Semester II Sr Subject Subject Page No. No. code CE307 Theory of Structures 02 CE308 Geotechnical Engineering-II 30 CE309 Engineering Management 49 CE310 Environment Engineering -II 62 CE311 Engineering Geology 71 CE312 Structural Design and Drawing I 82 CE314 Seminar 87 2 Department of Civil Engineering Course Plan for Theory of structure Course code CE 307 Course Theory of structure Prepared by Prof.V S Patil/ R.M.Desai Semester AY 2017-18, Sem VI Prerequisites Concept of SFD and BMD for determinate Structures. Basic equilibrium static conditions and its applications to beams and frames in flexure Course Outcomes At the end of the course the students should be able to: CO1 Explain2 the concept of determinacy and indeterminacy. CO2 Apply4 appropriate solution techniques to the problem. CO3 Analyze3 indeterminate structures by using different methods. CO4 Interpret the output of different methods CO5 Describe3 the limitations of the methods of solution and their outcomes CO6 Explain5 matrix method for the analysis. Mapping of COs with POs a b c d E F G h i j K l POs COs CO1 3 2 CO2 3 2 CO3 3 2 CO4 3 2 CO5 3 2 CO6 3 2 1 Mild correlation 2 Moderate correlation 3 Strong correlation Course Contents Unit No. Title No. of Hours Section I 1. A) Concept of determinacy and indeterminacy, Degrees of freedom 08 and structural redundancy, Methods of analysis. (No numerical). B) Consistent deformation method: propped cantilever with uniform section, fixed beam, portal frame. 2. Force Method: Energy Theorems- Betti’s Law, Maxwell’s 08 reciprocal theorem, Castiglione’s theorem and unit load method. Statically indeterminate beam, truss (lack of fit and temperature variation effect), two hinged parabolic arch with supports at same level (Degree of S.I. ≤ 2). 3 Department of Civil Engineering 3. Force method: Clapeyron’s theorem of three moments continuous 04 beam, sinking of support, beam with different M.I. Section II 4. Displacement Method: 08 Slope deflection equation method, Modified slope deflection equation application to beams, sinking of supports, portal frames without sway. ( Degree of K.I. ≤2) 5. Displacement Method: 06 Moment distribution method: application to beam, sinking of supports, portal frames without and with sway. (Degree of S.I. ≤2). 6 Matrix Methods: 08 Flexibility coefficients, development of flexibility matrix, analysis of beams and portals, Stiffness coefficients, development of stiffness matrix, analysis of beams and portals (Degree of S.I. < 2) Reference Books: Sr. No. Title of Book Author Publisher/Edition Topics Matrix analysis of structures Gere & Weaver Tata McGraw- 01 07,08 Hill pub Indeterminate structural C.K. Wang Tata McGraw- 02 02 analysis Hill pub Theory of Structures S.P. - Timoshenko Tata McGraw- 03 01 & Young Hill pub Theory of structures Ramamurtham and DhanpatRai 04 03,05,06 Narayan Publications Evaluation scheme Examination Theory Term Work POE Total Scheme Max. Marks 100 25 --- 125 Contact Hours/ 3 2 -- 5 week Scheme of Marks Section Unit No. Title Marks 01 Concept of Indeterminate structures 16 Consistent Deformation Method I 02 Energy Theorem 16 03 Clapeyron’s theorem of three moments 17 04 Slope Deflection Method 17 II 05 Moment distribution Method 16 06 Flexibility Method, Stiffness Method 16 4 Department of Civil Engineering Course Unitization Section Unit Course Outcomes No. of Questions in No. Title CAT-I CAT-II CAT-III 01 Concept of Indeterminate structures, Consistent Deformation CO1,CO3,CO4,CO5 Method 02 I 02 Energy Theorem CO2,CO3 03 Clapeyron’s theorem of three CO2,CO3 moments 02 04 Slope Deflection Method CO2,CO3 05 Moment distribution Method CO2,CO3 II 06 Flexibility Method, Stiffness 02 CO3,CO6 Method Unit wise Lesson Plan Section I Unit 01A) Unit Title Concept of Indeterminate structures Planned 06 No Hrs. Unit Outcomes At the end of this unit the students should be able to: UO1 Learn the concept of indeterminacy for different indeterminate structure like CO1,CO3, Beam, truss and frames and also Methods of analysis CO5 Lesson schedule Class No. Details to be covered 01 Introduction of syllabus, reference books, Question paper nature. 02 Types of supports, static conditions of equilibrium, static indeterminacy. 03 Internal indeterminacy of frames, beams, trusses. Degree of kinematic indeterminacy (DOF), various methods of analysis Review Questions Q1 Write note on DOF. Q2 “Beams are determinate internally”, explain How you select a particular method for the analysis. Which method is Q3 CO1,CO3, used for computer applications CO5 Q4 What are the different methods of analysis of indeterminate structures?. Q5 Find static and kinematic indeterminacy of following structures. 5 Department of Civil Engineering Unit 1B) Unit Title Consistent Deformation Method Planned 06 No Hrs. Unit Outcomes At the end of this unit the students should be able to: UO1 Explain the compatibility equations for the analysis of propped cantilever, CO2,CO3, fixed beams CO4 Lesson schedule Class Details to be covered No. 4 Propped cantilever, compatibility equation, angular and linear flexibility 5 Propped cantilever- examples on analysis of propped cantilever and to construct SFD and BMD. 6 Propped cantilever- examples on analysis of propped cantilever and to construct SFD and BMD. 7 Fixed beam, compatibility equation, , Maxwell’s reciprocal theorem, yielding of support, sinking of support 8 Examples Review Questions Q1 State Maxwell theorem of reciprocal displacement. Q2 Explain the principal behind consistent deformation method. CO2,CO3,CO4 Q3 A propped cantilever 10 mts span is subjected to clockwise couple of 20 KN-m at pin end. Draw SFD and BMD. Take EI=210 KN-m Q4 A propped cantilever AB, 10 mts span, is subjected to UDL 20 KN/m over entire span. There is a vertical gap of 10mm between the support B and the end of the beam. Draw SFD and BMD. Take EI=210 KN-m Q5 A Fixed beam AB, 10 mts span, the end A is rotated by 0.002 radians. CO2,CO3,CO4 6 Department of Civil Engineering Draw SFD and BMD. Take EI=210 KN-m Unit 2 Unit Title Energy Theorems Planned 08 No Hrs. Unit Outcomes At the end of this unit the students should be able to: UO1 Analyze indeterminate trusses by energy principle CO2,CO3,CO4 Lesson schedule Class Details to be covered No. 9 Concept of energy method, Castigliano’s theorem 10 Examples on analysis of continuous beams using Castigliano’s theorem ,and to construct SFD and BMD 11 Examples on analysis of propped cantilever, fixed beams using Castigliano’s theorem, and to construct SFD and BMD 12 Examples on analysis of portal frames using Castigliano’s theorem, and to construct BMD 13 Unit load method- application to trusses 14 Examples on analysis of indeterminate trusses by unit load method 15 Examples on analysis of Two hinge arches using Castigliano’s theorem. 16 Examples on analysis of Two hinge arches using Castigliano’s theorem. Review Questions Q1 A two hinge parabolic arch of span 36 m and central rise 8m,is subjected to UDL of intensity 40 KN/m over left hand of the span of the arch. Determine the position and magnitude of maximum bending moment. Also find radial CO2,CO3,C shear and normal thrust at quarter span point of the arch Draw BMD O4 Q2 Find the forces in the member of the truss shown in fig. The value of AE is Constant Unit 03 Unit Title Clapeyron’s theorem of three Planned 08 No moments Hrs. Unit Outcomes At the end of this unit the students should be able to: UO1 Acquire knowledge of Analyze the statically indeterminate structure by CO2,CO3,CO4 using three moment theorem. Lesson schedule 7 Department of Civil Engineering Class Details to be covered No. Clapeyron’s theorem of three moment –derivation and its application for the analysis of 17 continuous beams for prismatic and non prismatic sections Examples on analysis of continuous beams with prismatic sections and to construct SFD 18 and BMD beam. Examples on analysis of continuous beams with Non prismatic sections and to construct 19 SFD and BMD beam Examples on analysis of continuous beams with sinking of supports and to construct SFD 20 and BMD beam Review Questions A continuous beam ABC is fixed at A and simply supported at B and C, such that AB=8m, BC=4m.It carries UDL of 3 KN/m over AB and point Q1 load 8KN at mid span of BC. During loading support B sinks by 10mm.Analyse the beam and draw BMD.IAB=2I,IBC=I,I=1600cm4,E=200KN/mm2 Q2 Derive Clapeyron’s theorem of three moments. Analysis continuous beam shown in fig below. Support B sinks by 12 mm. I=1600cm4,E=200KN/mm2 CO2,CO3,CO4 Q3 Section II Unit 04 Unit Title Slope Deflection Method Planned 08 No Hrs.