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Architecture Engineering QUESTION #2345
Question 1
In the Moment Distribution Method for indeterminate beams, the carry-over factor (COF) for a prismatic member with the far end FIXED is:
  • \(\text{COF} = 0\)
  • \(\text{COF} = +\dfrac{1}{3}\)
  • \(\text{COF} = +\dfrac{1}{2}\)✔️
  • \(\text{COF} = -\dfrac{1}{2}\)
Correct Answer Explanation
For a prismatic member with far end fixed, the carry-over factor is \(+\dfrac{1}{2}\). When a moment \(M\) is applied at the near end, \(M/2\) is carried over to the far end (same sign). If the far end is pinned, COF = 0. If the far end is free, there is no carry-over meaningful definition since the member is statically determinate on one end.