Computer Aided Modelling of

Theory of Structures Assignment-II

using

By Danish Khan

This document includes report of analysis results of classroom assignments. The software package used for this purpose being Sap2000, a popular structural analysis and design software.

Date : 22/09/2013

TABLE OF CONTENTS

Question.1 Continuous beam with fixed end ....................................................................................................................................... 1 (i) Model Geometry ......................................................................................................................................................................... 1 (ii) Joint Reactions .............................................................................................................................................................................. 1 (iii) Shear Force Diagram ............................................................................................................................................................. 2 (iv) Bending Moment Diagram .................................................................................................................................................... 2 (v) Deformed Shape ......................................................................................................................................................................... 2

Question.2 Continuous Beam with Fixed end ....................................................................................................................................... 3 (i) Model Geometry ......................................................................................................................................................................... 3 (ii) Joint Reactions .............................................................................................................................................................................. 3

(iii) Shear Force Diagram ............................................................................................................................................................. 3 (iv) Bending Moment Diagram .................................................................................................................................................... 4 (v) Deformed Shape ......................................................................................................................................................................... 4

Question.3 Continuous Beam with one end fixed and overhang .................................................................................................... 5

(i) Model Geometry ......................................................................................................................................................................... 5 (ii) Joint Reactions .............................................................................................................................................................................. 5 (iii) Shear Force Diagram ............................................................................................................................................................. 5 (iv) Bending Moment Diagram .................................................................................................................................................... 6 (v) Deformed Shape ......................................................................................................................................................................... 6

Question.4 Continuous Beam with both ends fixed and different frame section property ........................................................ 7 (i) Model Geometry ......................................................................................................................................................................... 7

(ii) Joint Reactions .............................................................................................................................................................................. 7

(iii) Shear Force Diagram ............................................................................................................................................................. 8

(iv) Bending Moment Diagram .................................................................................................................................................... 8 (v) Deformed Shape ......................................................................................................................................................................... 8

Question.5 Fixed Beam with supports sinking ................................................................................................................................... 10

(i) Model Geometry ....................................................................................................................................................................... 10 (ii) Joint Reactions ............................................................................................................................................................................ 10

(iii) Shear Force Diagram ........................................................................................................................................................... 10 (iv) Bending Moment Diagram .................................................................................................................................................. 11 (v) Deformed Shape ....................................................................................................................................................................... 11

Question.6 Continuous Beam with one end fixed ............................................................................................................................. 12

(i) Model Geometry ....................................................................................................................................................................... 12 (ii) Joint Reactions ............................................................................................................................................................................ 12 (iii) Shear Force Diagram ........................................................................................................................................................... 13 (iv) Bending Moment Diagram .................................................................................................................................................. 13

(v) Deformed Shape ....................................................................................................................................................................... 13 Annexure I ................................................................................................................................................................................................. 14

Assignment 02.doc

Question.1 Continuous beam with fixed end

Danish Khan P a g e | 1

Question.1 Continuous beam with fixed end

(i) Model Geometry

(ii) Joint Reactions

Assignment 02.doc

Question.1 Continuous beam with fixed end

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(iii) Shear Force Diagram

(iv) Bending Moment Diagram

(v) Deformed Shape

2.2

1

Assignment 02.doc

Question.2 Continuous Beam with Fixed end

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Question.2 Continuous Beam with Fixed end

(i) Model Geometry

(ii) Joint Reactions

(iii) Shear Force Diagram

Assignment 02.doc

Question.2 Continuous Beam with Fixed end

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(iv) Bending Moment Diagram

(v) Deformed Shape

Assignment 02.doc

Question.3 Continuous Beam with one end fixed and overhang

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Question.3 Continuous Beam with one end fixed and overhang

(i) Model Geometry

(ii) Joint Reactions

(iii) Shear Force Diagram

Assignment 02.doc

Question.3 Continuous Beam with one end fixed and overhang

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(iv) Bending Moment Diagram

(v) Deformed Shape

Assignment 02.doc

Question.4 Continuous Beam with both ends fixed and different frame section property

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Question.4 Continuous Beam with both ends fixed and different frame

section property

(i) Model Geometry

(ii) Joint Reactions

Assignment 02.doc

Question.4 Continuous Beam with both ends fixed and different frame section property

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(iii) Shear Force Diagram

(iv) Bending Moment Diagram

(v) Deformed Shape

.94

Assignment 02.doc

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Assignment 02.doc

Question.5 Fixed Beam with supports sinking

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Question.5 Fixed Beam with supports sinking Support B sinks by 2.5 mm E = 200 kN/mm2, I = 3.5 107 mm4

(i) Model Geometry

(ii) Joint Reactions

(iii) Shear Force Diagram

Assignment 02.doc

Question.5 Fixed Beam with supports sinking

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(iv) Bending Moment Diagram

(v) Deformed Shape

Assignment 02.doc

Question.6 Continuous Beam with one end fixed

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Question.6 Continuous Beam with one end fixed

(i) Model Geometry

(ii) Joint Reactions

Assignment 02.doc

Question.6 Continuous Beam with one end fixed

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(iii) Shear Force Diagram

(iv) Bending Moment Diagram

(v) Deformed Shape

Assignment 02.doc

Annexure I

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Annexure I

Question.1 Continuous beam with fixed end(i) Model Geometry(ii) Joint Reactions(iii) Shear Force Diagram(iv) Bending Moment Diagram(v) Deformed Shape

Question.2 Continuous Beam with Fixed end(i) Model Geometry(ii) Joint Reactions(iii) Shear Force Diagram(iv) Bending Moment Diagram(v) Deformed Shape

Question.3 Continuous Beam with one end fixed and overhang(i) Model Geometry(ii) Joint Reactions(iii) Shear Force Diagram(iv) Bending Moment Diagram(v) Deformed Shape

Question.4 Continuous Beam with both ends fixed and different frame section property(i) Model Geometry(ii) Joint Reactions(iii) Shear Force Diagram(iv) Bending Moment Diagram(v) Deformed Shape

Question.5 Fixed Beam with supports sinking(i) Model Geometry(ii) Joint Reactions(iii) Shear Force Diagram(iv) Bending Moment Diagram(v) Deformed Shape

Question.6 Continuous Beam with one end fixed(i) Model Geometry(ii) Joint Reactions(iii) Shear Force Diagram(iv) Bending Moment Diagram(v) Deformed Shape

Annexure I