Question

Question 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?​

Answer 1

HEY...

HERE'S YOUR...

HIGH RATED GABRU---HARSH ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️Edge of the aluminium cube, L = 10 cm = 0.1 m

The mass attached to the cube, m = 100 kg

Shear modulus (η) of aluminium = 25 GPa = 25 × 109 Pa

Shear modulus, η

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

ΔL = 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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#kameena

Answer 2

Answer:

★ Shear 's modulus (η) of aluminium = 25 GPa

= 25 x 10⁹ Pa

★ Shear's Modulus , η = shear stress / shear strain

⇒ (F/A) /(L/ΔL)

⇒ ΔL = FL/Aη

⇒ 9.8 x 0.1 / 10⁻² x (25 x 10⁹)

⇒ 3.92 x 10⁻⁷ m