Question
Sat February 09, 2013 By: Arathi M
 

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?

Expert Reply
Sat February 09, 2013

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, ? 

Where,

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 × 10–7 m

The vertical deflection of this face of the cube is 3.92 ×10–7 m.

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