Strength of Materials

Q1: Two closely coiled helical springs 'A' and 'B' are equal in all respects but the number of turns of spring 'A' is half that of spring 'B' The ratio of deflections in spring 'A' to spring 'B' is

A 1/2

B 1/4

C 1/8

D 2

ANS:C - 1/2

Deflection in spring, X= (8w (D^3) n)/G (d^4).

Where w=axial load, D=mean coil diameter, n=no of active coils, G=modulus of rigidity, d=dia of spring wire,

Put the value of n for A and B and then divide deflection due to A by deflection due to B, and get 1/2.

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