Question

The upper face of a 4cm cube is displaced by 0.1 cm due to a tangential force of 0.8 dyne. What would be the shear modulus of the cube?

(a) 2 dyne/cm^2

(b) 1.3 dyne/cm^2

(c) 2.5 dyne/cm^2

(d) 5 dyne/cm^2

I had been asked this question during an online exam.

This interesting question is from Strength of Materials in division Strength of Materials and Construction Materials of Farm Machinery

Answer 1

Right choice is (a) 2 dyne/cm^2

The explanation is: Area of the face over which the force was applied = A = L^2 = 16cm^2

η = \(\frac{F.L}{A.x}=\frac{0.8*4}{16*0.1}\) = 2 dyne/cm^2