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Theory of Structures - Engineering

Q1:

The normal and tangential components of stress on an inclined plane through θ° to the direction of the force, will be equal if θ is

A 45°

B 30°

C 60°

D 90°

ANS:A - 45°

Tangential = Sin^2θ = Sin^2(45°) = 1/2.
Normal = Sin(θ)Cos(θ) = Sin(45)Cos(45) = 1/2.
So, both are equal when theta = 45.