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9.6 The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

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Vishal Baghel | Contributor-Level 10

5 months ago

Edge of the aluminium cube, L = 10 cm = 0.1 m, Area A = 0.01 $m^{2}$

Mass attached, m = 100 kg = 100 $\times$ 9.8 = 980 N = Applied force F

Shear modulus $η$ = 25 GPa = 25 $\times 10^{9} P a$

Shear modulus $η$ = Shear stress / Shear strain = $\frac{\frac{F}{A}}{\frac{? L}{L}}$ , $? L = \frac{F \times L}{η \times A}$ = $\frac{980 \times 0.1}{25 \times 10^{9} \times 0.01}$ = 3.92 $\times 10^{- 7} m$

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9.6 The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

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