Civil Engineering MCQAE Level Civil Engineering
In the slope-deflection method, if the far end B of member AB is a simple support (pinned), the modified slope-deflection equation for end A becomes:
Structural AnalysisSlope Deflection Pinned Far EndMEDIUM
Choose the correct answer
A
3EI/L (θ_A - ψ) + FEM'_AB
B
4EI/L (2θ_A - 3ψ) + FEM_AB
C
2EI/L (θ_A - ψ)
D
EI/L (θ_A + ψ)
Correct Answer
A. 3EI/L (θ_A - ψ) + FEM'_AB
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Substituting M_BA = 0 into the slope-deflection equations and eliminating θ_B: M_AB = (3EI/L)(θ_A - ψ) + FEM'_AB, where FEM'_AB = FEM_AB - FEM_BA/2 is the modified FEM.
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