SHIVAJI UNIVERSITY, KOLHAPUR TE (Civil) Syllabus Structure .

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Department ofCivil EngineeringSHIVAJI UNIVERSITY, KOLHAPURTE (Civil) Syllabus StructureSEMESTER-VI (Part II)Sr.No.12345678SubjectTheory of agementEngineering d TrainingTotalTeaching scheme per 4Examination --250---------25----507550--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 atthe end of VIIth Semester.1

Department ofCivil EngineeringDepartment of Civil EngineeringT. E. CivilAcademic Year: 2018-19, Semester IISrSubjectSubjectNo.Page No.codeCE307Theory of Structures03CE308Geotechnical Engineering-II31CE309Engineering Management50CE310Environment Engineering -II63CE311Engineering Geology72CE312Structural Design and Drawing I83CE314Seminar882

Department ofCivil EngineeringCourse Plan for Theory of structureCourse codePrepared byCE 307Prof.V S Patil/ R.M.DesaiCourseSemesterTheory of structureAY 2018-19, Sem VIPrerequisitesConcept of SFD and BMD for determinate Structures.Basic equilibrium static conditions and its applications to beams and framesin flexureCourse OutcomesAt the end of the course the students should be able to:CO1Explain2 the concept of determinacy and indeterminacy.CO2Apply4 appropriate solution techniques to the problem.CO3Analyze3 indeterminate structures by using different methods.CO4Interpret the output of different methodsCO5Describe3 the limitations of the methods of solution and their outcomesCO6Explain5 matrix method for the analysis.Mapping of COs with POsaPOsCOsCO13CO23CO33CO43CO53CO631 Mild correlationcorrelationbcdEFGhijKl2222222 Moderate correlation3 StrongCourse ContentsUnit No.1.2.TitleSection IA) Concept of determinacy and indeterminacy, Degrees of freedomand structural redundancy, Methods of analysis. (No numerical).B) Consistent deformation method: propped cantilever with uniformsection, fixed beam, portal frame.Force Method: Energy Theorems- Betti’s Law, Maxwell’sreciprocal theorem, Castiglione’s theorem and unit load method.Statically indeterminate beam, truss (lack of fit and temperaturevariation effect), two hinged parabolic arch with supports at samelevel(Degree of S.I. 2).No. ofHours08083

Department ofCivil Engineering3.4.5.6Force method: Clapeyron’s theorem of three moments continuousbeam, sinking of support, beam with different M.I.Section IIDisplacement Method:Slope deflection equation method, Modified slope deflectionequation application to beams, sinking of supports, portal frameswithout sway.( Degree of K.I. 2)Displacement Method:Moment distribution method: application to beam, sinking ofsupports, portal frames without and with sway. (Degree of S.I. 2).Matrix Methods:Flexibility coefficients, development of flexibility matrix, analysis ofbeams and portals, Stiffness coefficients, development of stiffnessmatrix, analysis of beamsand portals (Degree of S.I. 2)04080608Reference Books:Sr. No.01020304Title of BookMatrix analysis of structuresIndeterminate structuralanalysisTheory of StructuresTheory of structuresAuthorGere & WeaverPublisher/Edition TopicsTata McGraw07,08Hill pubC.K. WangTata McGraw02Hill pubS.P. - Timoshenko Tata McGraw01& YoungHill pubRamamurtham and DhanpatRai03,05,06NarayanPublicationsEvaluation schemeExaminationSchemeMax. MarksContact Hours/weekScheme of MarksSectionIIIUnit No.010203040506TheoryTerm WorkPOETotal10025---12532--5TitleConcept of Indeterminate structuresConsistent Deformation MethodEnergy TheoremClapeyron’s theorem of three momentsSlope Deflection MethodMoment distribution MethodFlexibility Method, Stiffness MethodMarks1616171716164

Department ofCivil EngineeringCourse pt of Indeterminatestructures, Consistent DeformationMethodEnergy TheoremClapeyron’s theorem of threemomentsSlope Deflection MethodMoment distribution MethodFlexibility Method, StiffnessMethodCourse OutcomesCAT-INo. of Questions 2,CO3CO2,CO302CO3,CO6Unit wise Lesson PlanSection IConcept of Indeterminate structuresUnitPlanned0601A) Unit TitleNoHrs.Unit OutcomesAt the end of this unit the students should be able to:UO1Learn the concept of indeterminacy for different indeterminate structure like CO1,CO3,CO5Beam, truss and frames and also Methods of analysisLesson scheduleClass No.Details to be covered01Introduction of syllabus, reference books, Question paper nature.02Types of supports, static conditions of equilibrium, static indeterminacy.03Internal indeterminacy of frames, beams, trusses. Degree of kinematic indeterminacy(DOF), various methods of analysisReview QuestionsQ1Write note on DOF.Q2“Beams are determinate internally”, explainHow you select a particular method for the analysis. Which method is CO1,CO3,Q3CO5used for computer applicationsQ4What are the different methods of analysis of indeterminate structures?.Q5Find static and kinematic indeterminacy of following structures.5

Department ofCivil Engineering06UnitPlanned1B)Unit Title Consistent Deformation MethodNoHrs.Unit OutcomesAt the end of this unit the students should be able to:UO1Explain the compatibility equations for the analysis of propped cantilever, CO2,CO3,CO4fixed beamsLesson scheduleClassDetails to be coveredNo.4Propped cantilever, compatibility equation, angular and linear flexibility5Propped cantilever- examples on analysis of propped cantilever and to construct SFD andBMD.6Propped cantilever- examples on analysis of propped cantilever and to construct SFD andBMD.7Fixed beam, compatibility equation, , Maxwell’s reciprocal theorem, yielding of support,sinking of support8ExamplesReview QuestionsQ1State Maxwell theorem of reciprocal displacement.Q2Explain the principal behind consistent deformation method.CO2,CO3,CO4Q3A propped cantilever 10 mts span is subjected to clockwise couple of 20KN-m at pin end. Draw SFD and BMD. Take EI 210 KN-mQ4A propped cantilever AB, 10 mts span, is subjected to UDL 20 KN/m overentire span. There is a vertical gap of 10mm between the support B andthe end of the beam. Draw SFD and BMD. Take EI 210 KN-mQ5A Fixed beam AB, 10 mts span, the end A is rotated by 0.002 radians. CO2,CO3,CO46

Department ofCivil EngineeringDraw SFD and BMD. Take EI 210 KN-m08PlannedUnit2Unit Title Energy TheoremsHrs.NoUnit OutcomesAt the end of this unit the students should be able to:CO2,CO3,CO4UO1Analyze indeterminate trusses by energy principleLesson scheduleClassDetails to be coveredNo.9Concept of energy method, Castigliano’s theorem10Examples on analysis of continuous beams using Castigliano’s theorem ,and to constructSFD and BMD11Examples on analysis of propped cantilever, fixed beams using Castigliano’s theorem,and to construct SFD and BMD12Examples on analysis of portal frames using Castigliano’s theorem, and to construct BMD13Unit load method- application to trusses14Examples on analysis of indeterminate trusses by unit load method15Examples on analysis of Two hinge arches using Castigliano’s theorem.16Examples on analysis of Two hinge arches using Castigliano’s theorem.Review QuestionsQ1A two hinge parabolic arch of span 36 m and central rise 8m,is subjected toUDL of intensity 40 KN/m over left hand of the span of the arch. Determinethe position and magnitude of maximum bending moment. Also find radialshear and normal thrust at quarter span point of the arch Draw BMDQ2Find the forces in the member of the truss shown in fig. The value of AE isConstantCO2,CO3,CO408Unit03Unit Title Clapeyron’s theorem of three PlannedHrs.NomomentsUnit OutcomesAt the end of this unit the students should be able to:UO1Acquire knowledge of Analyze the statically indeterminate structure by CO2,CO3,CO4using three moment theorem.Lesson schedule7

Department ofCivil EngineeringClassNo.Details to be coveredClapeyron’s theorem of three moment –derivation and its application for the analysis ofcontinuous beams for prismatic and non prismatic sectionsExamples on analysis of continuous beams with prismatic sections and to construct SFD18and BMD beam. Examples on analysis of continuous beams with Non prismatic sections and to construct19SFD and BMD beamExamples on analysis of continuous beams with sinking of supports and to construct SFD20and BMD beamReview QuestionsA 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 pointQ1load 8KN at mid span of BC. During loading support B sinks by10mm.AnalysethebeamanddrawBMD.IAB 2I,IBC I,I 1600cm4,E 200KN/mm2Q2Derive Clapeyron’s theorem of three moments.Analysis continuous beam shown in fig below. Support B sinks by 12CO2,CO3,CO4mm. I 1600cm4,E 200KN/mm217Q3Section IISlope Deflection MethodPlannedUnit04Unit Title08Hrs.NoUnit OutcomesAt the end of this unit the students should be able to:UO1Explain the equilibrium equations for the analysis of beams and frames CO2,CO3,CO4for slope deflection methodLesson scheduleClass Details to be coveredNo.21General and modified Slope deflection equations-derivationsExamples on analysis of continuous beams by general and modified slope deflection22equations and to construct SFD and BMDExamples on analysis of continuous beams by general and modified slope deflection23equations and to construct SFD and BMDExamples on analysis of portal frames without sway by general and modified slope24deflection equations and to construct SFD and BMDExamples on analysis of portal frames without sway by general and modified slope25deflection equations and to construct SFD and BMD8

Department ofCivil Engineering262728Examples on analysis of portal frames with sway by general and modified slope deflectionequations and to construct SFD and BMDSway framesSway framesReview QuestionsAnalyze the beam shown in figure and draw BMD .Support B sinks by10mm.Take EI 4000KNm2Q1Analyze the portal frame shown below and draw BMDCO2,CO3,CO4Q2Analyze the beam shown in figure and draw BMD .Support B sinks by10mm.Take EI 4000KNm2Q3Analyze the portal frame shown below and draw BMD9

Department ofCivil EngineeringPlannedUnit5Unit Title Moment Distribution MethodHrs.NoUnit OutcomesAt the end of this unit the students should be able to:UO1Learn a Moment Distribution method for the analysis of beams andframes08CO2,CO3,CO4Lesson scheduleClass Details to be coveredNo.29Basic preposition-propped cantilever, stiffness of members, Carry over theorem30Fixed end moments, Distribution factors, relative stiffness’s31Examples on analysis of continuous beams by MDM and to construct SFD and BMDExamples on analysis of continuous beams with support yielding and sinking by MDM and32to construct SFD and BMD.Examples on analysis of portal frames without sideway by MDM and to construct SFD and33BMD.Examples on analysis of portal frames without sideway by MDM and to construct SFD and34BMD.Review QuestionsQ1Analyze the beam shown in figure and draw BMD. Under the loadsupport B sinks by 10mm.Take E 200 105 KN/m2 ,I 350 10-6m4Q2Analyze the portal frame shown below and draw BMDCO2,CO3,CO4CO2,CO3,CO410

Department ofCivil EngineeringUnit6AUnit Title Flexibility MethodNoUnit OutcomesAt the end of this unit the students should be able to:UO1 impart knowledge on matrix method of analysisPlanned Hrs.05CO2,CO3,CO4,CO6Lesson scheduleClassDetails to be coveredNo.Introduction to Matrix method of analysis-Basic step to solve second order matrix,35inverse of matrix. FlexibilityGeneration of flexible matrix to axial loading, tensional and flexural loading with36different degree of freedomExamples on analysis of continuous beams by flexibility methods and to constructs SFD37and BMDExamples on analysis of Portal frames without side sway by flexibility methods and to38constructs SFD and BMDReview QuestionsAnalyses the fixed beam shown in fig. and draw BMDQ1CO2,CO3,CO4,CO6Q2Analyses the fixed beam shown in fig. and draw BMD11

Department ofCivil EngineeringUnit6BUnit Title Stiffness MethodNoUnit OutcomesAt the end of this unit the students should be able to:UO1impart knowledge on matrix method of analysisPlanned Hrs.06CO2,CO3,CO4,CO6Lesson scheduleClass Details to be coveredNo.Introduction to Matrix method of analysis-stiffness method, generation of displacement and39force matrix, degree of freedomExamples on analysis of continuous beams by stiffness method and to constructs SFD and40BMDExamples on analysis of continuous beams by stiffness method and to constructs SFD and41BMDExamples on analysis of portal frame without side sway by stiffness method and to42constructs SFD and BMDReview QuestionsQ1Write properties of stiffness matrixQ2Prove that stiffness matrix is the inverse of flexibility matrixAnalyze the portal frame shown below and draw BMDCO2,CO3,CO4,CO6Q312

Department ofCivil EngineeringAnalyze the portal frame shown below and draw BMDQ4Model Question PaperTheory of structuresDuration: 3.00 Hrs.Day and Date :Instructions:1. All Questions are Compulsory2. Figure to the right indicates full marks.3. Use of non-programmable calculator is allowedMax. Marks:100Section-I1AFind static and kinematic indeterminacy of the structures shown below06BA propped cantilever beam AB 10 mts span is subjected to UDL of 1510KN/m throughout span and a point load of 10 KN at the centre of thebeam. Draw SFD and BMD. Take EI 210 KN-m.13

Department ofCivil Engineering2Analyze the beam shown in figure and draw BMD. Under the load52-6support B sinks by 10mm.Take E 200 10 KN/m , I 350 10 m164using Three moment theorem.AState Castiglione theorem of three moment03bFind the forces in the member of the truss shown in fig. The value of14AE is constant3Section-II4Analyze the beam shown in figure and draw BMD. Under the loadsupport B sinks by 10mm.Take E 200 105 KN/m2 ,I 350 10-6 m4using modified slope deflection method165Analyze the portal frame shown below and draw BMD using momentdistribution method1714

Department ofCivil Engineering6Analyses the continuous beam ABC using flexibility method and drawBMD. Support A is fixed, with AB BC 3m.It is subjected to 10 KNat midpoint of AB and UDL of 15KN/m over BC.16ORAnalyses the continuous beam ABCD using stiffness method and drawBMD. IAB 2I,IBC ICD I616AssignmentsList of experiments/assignments to meet the requirements of the syllabusAssignment No. 1CO1,CO3,CO5AssignmentTitle1. What are the advantages of indeterminate structures over determinateBatch Istructures?2. Find static and kinematic indeterminacy of following structures.15

Department ofCivil Engineering3. What are the different methods of analysis of indeterminate structures?How you select a particular method for the analysis. Which method is usedfor computer applications?Batch II1. What are the advantages of indeterminate structures over determinatestructures?2. Find static and kinematic indeterminacy of following structures.16

Department ofCivil Engineering3. What are the different methods of analysis of indeterminate structures?How you select a particular method for the analysis. Which method is usedfor computer applications?Batch III1. What are the advantages of indeterminate structures over determinatestructures?2. Find static and kinematic indeterminacy of following structures.17

Department ofCivil Engineering3. What are the different methods of analysis of indeterminate structures?How you select a particular method for the analysis. Which method is usedfor computer applications?Assignment No. 2AssignmentTitleConsistent deformation MethodCO2,CO3,CO41. State Maxwell theorem of reciprocal displacement.2. Explain the principal behind consistent deformation method.3. A propped cantilever 10 mts span is subjected to clockwise couple of 20Batch IKN-m at pin end. Draw SFD and BMD. Take EI 210 KN-m24. A Fixed beam AB, 10 mts span, the end A is rotated by 0.002 radians.Draw SFD and BMD. Take EI 210 KN-m21. State Maxwell theorem of reciprocal displacement.2. Explain the principal behind consistent deformation method.3. A propped cantilever 10 mts span is subjected to clockwise couple of 20Batch IIKN-m at pin end. Draw SFD and BMD.Take EI 210 KN-m24. A Fixed beam AB, 10 mts span, the end A is rotated by 0.002 radians.Draw SFD and BMD. Take EI 210 KN-m21. State Maxwell theorem of reciprocal displacement.2. Explain the principal behind consistent deformation method.Batch III3. A propped cantilever 10 mts span is subjected to clockwise couple of 20KN-m at pin end. Draw SFD and BMD. Take EI 210 KN-m24. A Fixed beam AB, 10 mts span, the end A is rotated by 0.002 radians.18

Department ofCivil EngineeringDraw SFD and BMD. Take EI 210 KN-m2Assignment No.3CO2,CO3,CO4AssignmentClapeyrons three moment theoremTitle1. 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 pointload 8KN at mid span of BC. During loading support B sinks by10mm.Analyse the beam and draw BMD.IAB 2I,IBC I,I 1600cm4,E 200KN/mm22. Derive Clapeyron’s theorem of three moments.Batch I3. Analysis continuous beam shown in fig below. Support B sinks by 12 mm.I 1600 cm4,E 200 KN/mm2Batch II1.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 pointload 8KN at mid span of BC. During loading support B sinks by10mm.AnalysethebeamanddrawBMD.IAB 2I,IBC I,I 1600cm4,E 200KN/mm22. Derive Clapeyron’s theorem of three moments.3. Analysis continuous beam shown in fig below. Support B sinks by 12 mm.I 1600cm4, E 200KN/mm2Batch III1. 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 pointload 8KN at mid span of BC. During loading support B sinks by19

Department ofCivil Engineering10mm.AnalysethebeamanddrawBMD.IAB 2I,IBC I,I 1600cm4,E 200KN/mm22. Derive Clapeyron’s theorem of three moments.3. Analysis continuous beam shown in fig below. Support B sinks by 12 mm.I 1600 cm4,E 200KN/mm2Assignment No. 4CO2,CO3,CO4AssignmentTitleBatch IEnergy MethodsBatch II1.A two hinge parabolic arch of span 36 m and central rise 8m,is subjected to1.A two hinge parabolic arch of span 36 m and central rise 8m,is subjected toUDL of intensity 40 KN/m over left hand of the span of the arch. Determinethe position and magnitude of maximum bending moment. Also find radialshear and normal thrust at quarter span point of the arch Draw BMD2.Find the forces in the member of the truss shown in fig. The value of AE isconstantUDL of intensity 40 KN/m over left hand of the span of the arch. Determinethe position and magnitude of maximum bending moment. Also find radialshear and normal thrust at quarter span point of the arch Draw BMD2.Find the forces in the member of the truss shown in fig. The value of AE isconstant20

Department ofCivil EngineeringBatch-III1. A two hinge parabolic arch of span 36 m and central rise 8m,is subjectedto UDL of intensity 40 KN/m over left hand of the span of the arch.Determine the position and magnitude of maximum bending moment. Alsofind radial shear and normal thrust at quarter span point of the arch DrawBMD2. Find the forces in the member of the truss shown in fig. The value of AEis constantAssignment No. 5CO2,CO3,CO4AssignmentSlope Deflection MethodTitle1. Derive the Slope Deflection equation for indeterminate beam.2.Analyze the beam shown in figure and draw BMD.Under the load supportB sinks by 10mm.Take E 200 105 KN/m2 ,I 350 10-6 m4Batch I3. Analyze the portal frame shown below and draw BMD21

Department ofCivil Engineering4.Analyse fixed beam shown in fig and draw BMD1. Derive the Slope Deflection equation for indeterminate beam.2. Analyze the beam shown in figure and draw BMD. Under the load supportB sinks

Department of Civil Engineering 1 SHIVAJI UNIVERSITY, KOLHAPUR TE (Civil) Syllabus Structure SEMESTER-VI (Part II) Sr. No. L Subject Teaching scheme per week Examination scheme P T D Total Theory paper TW POE OE Total 1 Theory of Structures 3 2 --- --- 5 100 25 --- --- 125 2 Geotechnical Engineering-II

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