Define Hooke’s law. Define three types of elastic modulus (Young’s Modulus, Bulk Modulus & Rigidity Modulus) with formulae?

states that the force F needed to extend or compress a spring by some distance is proportional to that distance. That is: where is a

· Young's Modulus of elasticity

Iti It is defined as the ratio of normal stress to the longitudinal strain within elastic limit.

· Bulk Modulus of elasticity (K)

Thus,

· Consider a spherical solid body of volume V and surface area a, when a force F is applied normally, the volume decreases by

Modulus of Rigidity

· It is defined as the ratio of tangential stress to the shearing strain within the elastic limit.

· Considering a solid metal cube whose lower face is fixed and its upper face is subjected to a tangential force F. The body suffers a change in its shape but not in its volume. If q is angle through which upper layer is sheared then,

(Modulus of Rigidity)

Thanks & regard

Aarti Gupta

askiitians Faculty

fcon