Use the Slope-Deflection equations to determine values of unknown displacements (in terms of E/). Determine moments at A, B, C, D and H and draw the BMD for the frame. Assume that flexural rigidity, El, of member BC is three times of that of members AB and CD.

Use the Slope-Deflection equations to determine values of unknown displacements (in terms of E/). Determine moments at A, B, C, D and H and draw the BMD for the frame. Assume that flexural rigidity, El, of member BC is three times of that of members AB and CD.

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

22
Q2
Use the Slope-Deflection equations to determine values of unknown displacements (in terms of E/).
Determine moments at A, B, C, D and H and draw the BMD for the frame.
Assume that flexural rigidity, El, of member BC is three times of that of members AB and CD.
30 kN
4 m
3 kN/m
B
E
3EI
ΕΙ
2 m
4 m
A
ΕΙ
D
6 m

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Step 1: Introduce the problem statement

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Step 2: Determine kinematic indeterminacy

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Step 3: Determine fixed end moment

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Step 4: Formulate slope deflection equations

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Step 5: State equilibrium equations

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Step 6: Determine joint displacements

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Step 7: Determine support moments

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Step 8: Plot bending moment diagram

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