Answered: Determine the reactions at the supports…

Determine the reactions at the supports and draw the bending moment diagram for the following structure. (Ans :θB =0.0354/EI, θC =-1.018/EI, Ay=12.483kN, MAB=- 10.388kNm, By=22.885kN, Cy=12.632kN)

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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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Determine the reactions at the supports and draw the bending moment diagram for the following structure. (Ans :θ_B =0.0354/EI, θC =-1.018/EI, A_y=12.483kN, M_AB=- 10.388kNm, B_y=22.885kN, C_y=12.632kN)

5kN/m
D
A
21
|
5m
20kN
2m
7/10
2m
3kN
I
3m
D

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Step 1: Given

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Step 2: Fixed end moment

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Step 3: Slope deflection equations

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Step 4: Equilibrium conditions

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Step 5: Final moments

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Step 6: Support reactions

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Step 7: Bending moment diagram

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