elasticity derivations

Question

derivation of the formula:-

1. shearing strain = 2*longitudinal strain

Answer 1

Let l be the side of square plate and this square plate is undergoing shera stress

If we assume Δl be the change in dimension for both side, change in area  ΔA is given by

Comments

If you know the answer then why did you asked.

Answer 2

We have to prove shearing strain = 2 x longitudinal strain.