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Civil Engineering · Q58

Structural Analysis

Engineering and GATE · Civil Engineering · question 58

Q58

Principle of superposition is applicable when

A.
Deflections are linear functions of applied forces
Answer
B.
Material obeys Hooke's law
C.
The action of applied forces will be affected by small deformations of the structure
D.
None of the above

Answer: Option A

Solution

Answer: Option A
Solution:
The principle of superposition is applicable when the deflections in a structure are linear functions of the applied forces.

This principle holds when the relationship between force and displacement is directly proportional, meaning that the total displacement caused by multiple forces is the sum of the displacements due to each force acting individually.

For this to be valid, the material must behave elastically and within its linear range, which is often governed by Hooke's law.