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Architecture Engineering QUESTION #2352
Question 1
In the Moment Distribution Method, when the far end of a member is pinned, the modified stiffness \(K'\) used at the near end to avoid iterating carry-over to the pinned end is:
  • \(K' = \dfrac{EI}{L}\)
  • \(K' = \dfrac{2EI}{L}\)
  • \(K' = \dfrac{3EI}{L}\)✔️
  • \(K' = \dfrac{4EI}{L}\)
Correct Answer Explanation
Modified stiffness for far-end pinned: \(K' = \dfrac{3EI}{L}\) (versus \(\dfrac{4EI}{L}\) for far-end fixed). Using this modified stiffness means the carry-over factor to the pinned end is zero, so the pin does not need to be balanced in subsequent distribution cycles, simplifying the computation significantly.