Shear stress and strain: The base of an aluminum block, which is fixed in place, measures 90 cm by 90 cm, and the height of the block is 60 cm. A force, applied to the upper face and parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10¹⁰ Pa. What is the sheer stress on the block?

Question

Quizplus · Accepted Answer

Shear stress ($\tau$) can be calculated using the formula $\tau = G \gamma$, where $G$ is the shear modulus and $\gamma$ is the shear strain. Given $G = 3.0 \times 10^7 \, \text{Pa}$ and $\gamma = 0.0060$, $\tau = 3.0 \times 10^7 \times 0.0060 = 180 \times 10^5 \, \text{N/m}^2$ or $180 \times 10^5 \, \text{Pa}$.

Shear Stress and Strain: the Base of an Aluminum Block