The edge of an aluminium cube is 10 cm long. One phase of cube is firmly fixed to a vertical wall. A mass of 100 kg is the attached to the opposite phase of the cube. The Shear modulus of aluminium is 25 G Pa. What is the vertical deflection of this phase?
Edge of the aluminium cube, L = 10 cm = 0.1 m
The mass attached to the cube, m = 100 kg
Shear modulus (?) of aluminium = 25 GPa = 25 × 109 Pa
Shear modulus, ?
F = Applied force = mg = 100 × 9.8 = 980 N
A = Area of one of the faces of the cube = 0.1 × 0.1 = 0.01 m2
?L = Vertical deflection of the cube
= 3.92 × 107 m
The vertical deflection of this face of the cube is 3.92 ×107 m.