Question

The block of material shown below has a shear modulus of 65 GPa. Determine the shear stress and the shear strain induced by the 6 kN shearing force

Answer 1

Answer on Question #64487, Physics / Mechanics | Relativity

The block of material shown below has a shear modulus of 65 GPa. Determine the shear stress and the shear strain induced by the 6 kN shearing force.

Solution:

Let the block has the following dimensions 150mm x 50mm x 75mm.

$$\tau = \frac{F}{A} = \frac{6 \text{ kN}}{50 \text{ mm} \times 75 \text{ mm}} = 1.60 \text{ MPa}$$ $$Y = \frac{\tau}{G} = \frac{1.60 \text{ MPa}}{65 \text{ GPa}} = 2.46 \cdot 10^{-5}$$

Answer: $1.60 \text{ MPa}$ and $2.46 \cdot 10^{-5}$

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