Question

A block of material 150mm x 50mm x 75mm has a shear modulus of 50 Gpa. Determine the shear stress and the shear strain induced by the 2kN shearing force.

Answer 1

Answer on Question #57200-Engineering-Mechanical Engineering

A block of material 150mm x 50mm x 75mm has a shear modulus of 50 GPa. Determine the shear stress and the shear strain induced by the 2kN shearing force.

Solution

The shear stress is

$$\tau = \frac {P}{A} = \frac {2 \mathrm {k N}}{5 0 \mathrm {m m} \cdot 7 5 \mathrm {m m}} = 0. 5 3 3 \mathrm {M P a}.$$

The shear strain is

$$\gamma = \frac {\tau}{G} = \frac {0 . 5 3 3 \mathrm {M P a}}{5 0 \mathrm {G P a}} = 1. 0 6 6 \cdot 1 0 ^ {- 5}.$$

https://www.AssignmentExpert.com