13.9 through 13.12 Determine the reactions and draw the shear and bending moment diagrams for the beams shown in Figs. P13.9–P13.12 using the method of consistent de- formations. Select the reaction at the interior support to be the redundant.

13.9 through 13.12 Determine the reactions and draw the shear and bending moment diagrams for the beams shown in Figs. P13.9–P13.12 using the method of consistent de- formations. Select the reaction at the interior support to be the redundant.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

13.9 through 13.12 Determine the reactions and draw the
shear and bending moment diagrams for the beams shown
in Figs. P13.9-Pi3.12 using the method of consistent de-
formations. Select the reaction at the interior support to be
the redundant.
250 kN
250 kN
B
D
4 m
-4 m
4 m
-4 m
E = 200 GPa
I 600(109) mm
FIG. P13.9, P13.30, P13.50

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Step 1: Introduction

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Step 2: Free body diagram of the beam

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Step 3: Deformation at C due to the actual load

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Step 4: Deformation at C due to the redundant

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Step 5: Method of Consistent Deformations

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Step 6: Support reactions at A and E

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Step 7: Shear equations and diagram

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Step 8: Bending moment equations and diagram

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