a steel plate of face area 4cm2 and thickness 0.5cm is fixed rigidly at lower surface . a tangential force of 10N is applied on upper surface . find the lateral displacement of the upper surface wrt lower surface . rigidity modulus=8.4*10to the power 10N per metre square.

Dear Somy

rigidity modulus (G) = shear stress/shear strain= s/e

shear stress, s=10/4x10^-4 = 2.5 x 10⁴ N/m²

shear strain, e = s/G = 2.5 x 10⁴/8.4 x 10¹⁰

e= 0.297 x 10^-6 radians

fro small angle e=tane= relative displacement/thickness= d/0.005

d=0.005e= 0.005 x 0.297 x 10^-6 m = 1.485 x 10^-6 mm

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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