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Civil Engineering · Q66

Structural Analysis

Engineering and GATE · Civil Engineering · question 66

Q66

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

A.
0
B.
Less than 1
C.
1
Answer
D.
Greater than 1

Answer: Option C

Solution

Answer: Option C
Solution:
In the moment distribution method, the sum of distribution factors of all the members meeting at any joint is always 1.

Distribution factors are calculated for each member connected to a joint, based on their stiffness relative to the stiffness of all other members connected to the same joint.

The distribution factors determine how the unbalanced moments at the joint will be distributed among the connected members.

Since the total moment at the joint is distributed among the connected members, the sum of all distribution factors must equal 1, ensuring that the entire moment is accounted for.