Simple Stress and Strain MCQ with answer and solution

Concept

Equating bulk modulus and shear modulus

Formula

K = E / 3(1 − 2ν); G = E / 2(1 + ν)

Step-by-step solution

1. K = G ⇒ 3(1 − 2ν) = 2(1 + ν). 2. 3 − 6ν = 2 + 2ν ⇒ 8ν = 1. 3. ν = 0.125.

Explanation

Using the relations of K and G with E and ν and equating them gives ν = 1/8 = 0.125.

Shortcut

K = G → ν = 1/8.

Common mistake

Mistakenly equating E and K.