In the Kani method of analyzing multi-storey frames, rotation contributions are calculated at each joint using the rotation factor (mu). For a joint with n members meeting, the rotation factor for member ij is:
Choose the correct answer
mu_ij = -K_ij / (sum of K at joint j) = -1/2 x relative stiffness factor
mu_ij = -0.5 x K_ij / sum(K) = -0.5 x distribution factor
mu_ij = K_ij / (2 x sum K)
mu_ij = EI/(2L) for each member
Correct Answer
B. mu_ij = -0.5 x K_ij / sum(K) = -0.5 x distribution factor
Why is this the answer?
Kani method: rotation factor mu_ij = -0.5 x (K_ij / sum K_j), where K_ij = relative stiffness of member ij. Rotation contribution M_ij = 2 mu_ij x sum(rotation contributions) + fixed end moments contribution. Iteration converges faster than moment distribution for frames with sway. Sway is handled by storey sway factors.
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