In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always 

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  1. zero
  2. 1
  3. less than 1
  4. greater than 1

Answer (Detailed Solution Below)

Option 2 : 1
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Concept:

Distribution factor (DF):

\(DF={Stiffness\, of\, a\, member\over Sum\, of\, stiffness\, of \, all\, members\, at\, that \, joint}\)

Or

\(DF={Relative\, stiffness\, of\, a\, member\over sum\, of\, relative\, stiffness\, of \, all\, members\, at\, that \, joint}\)

 

F1 Engineering Mrunal 20.02.2023 D14 F1 Engineering Mrunal 20.02.2023 D15

Where M1, M2, M3, and M4 are moment induced in member OA, OB, OC, and OD respectively.

The summation of DF for all members at a joint is one.

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