Simple Stress and Strain MCQ with answer and solution

Concept

For an isotropic material, G depends on both E and μ (Poisson's ratio).

Formula

E = 2G(1 + μ), so G = E/(2(1 + μ))

Step-by-step solution

1. For an isotropic material, E = 2G(1 + μ). 2. So G = E/(2(1 + μ)). 3. G changes if E or μ changes. 4. So G is not independent of E and μ. Answer (D).

Explanation

An isotropic material has only two independent elastic constants. Shear modulus G is linked to E and Poisson's ratio by G = E/(2(1 + μ)). So G depends on both of them.

Why the other options are wrong

A: G depends on E. B: G depends on μ. C: G depends on both E and μ, as shown by the formula.

Shortcut

An isotropic material has only 2 independent constants, so G must depend on E and μ.

Common mistake

Thinking G is a separate, independent constant for isotropic materials.