Civil Engineering MCQAE Level Civil Engineering

At a joint in moment distribution method with members having rotational stiffnesses k₁, k₂, and k₃, the distribution factor for member 1 is:

Structural AnalysisDistribution FactorMEDIUM

Choose the correct answer

A

k₁ × (k₂ + k₃)

B

k₁/(k₁ × k₂ × k₃)

C

k₁/(k₁ + k₂ + k₃)

D

(k₁ + k₂ + k₃)/k₁

Correct Answer

C. k₁/(k₁ + k₂ + k₃)

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Distribution factor (DF) = stiffness of the member / sum of stiffnesses of all members at the joint = k₁/(k₁ + k₂ + k₃). Sum of all DFs at a joint = 1.

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