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

Question

Question

This question was previously asked in

HPCL Engineer (Civil) 04 Nov 2022 Official Paper

Answer 1

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

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.