Question

Two parallel and opposite forces earth 5000 N are applied tangentially to the upper and lower faces of a cubical metal block 30 cm on a side. Find the angle of shear and the displacement of upper surface relative to the lower surface. The shear modulus for the metal is 8 x 10¹¹ N/m².

Answer 1

F = 5000 N, L = 30 cm = 0.30 m, G = 8 x 10¹⁰ N/m²

= 6.94 x 10^-7 rad

∴ ∆L = Lθ = 0.30 x 6.94 x 10^-7

= 2.1 x 10^-7 m