Solve the following indeterminate beam by the moment distribution method. Determine the reactions and draw the bending moment diagram. (Ans : Ay=4.156, By=10.839, Cy=34.937, Dy=30.068, MAB=-0.677, MBA=17.396, MBC=-17.396, MCB=16.929, MCD=-16.929, MDC=10.285 )

Solve the following indeterminate beam by the moment distribution method. Determine the reactions and draw the bending moment diagram. (Ans : Ay=4.156, By=10.839, Cy=34.937, Dy=30.068, MAB=-0.677, MBA=17.396, MBC=-17.396, MCB=16.929, MCD=-16.929, MDC=10.285 )

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

Solve the following indeterminate beam by the moment distribution method. Determine the reactions and draw the bending moment diagram. (Ans : A_y=4.156, B_y=10.839, C_y=34.937, D_y=30.068, M_AB=-0.677, M_BA=17.396, M_BC=-17.396, M_CB=16.929, M_CD=-16.929, M_DC=10.285 )

3kN/m
21
5m
B
40kN
31
²2 mak
2m
с
25kN
VE
& D
3m → ²m><2m ✈

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Step 1: Given data:

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Step 2: Calculate fixed end moments:

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Step 3: Calculate Distribution factors:

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Step 4: Calculation of moments:

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Step 5: Calculation of support reactions:

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