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Define Hooke’s law. Define three types of elastic modulus (Young’s Modulus, Bulk Modulus & Rigidity Modulus) with formulae? Define Hooke’s law. Define three types of elastic modulus (Young’s Modulus, Bulk Modulus & Rigidity Modulus) with formulae?
Hooke's law 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 constant factor characteristic of the spring, its stiffness. · Young's Modulus of elasticity Iti It is defined as the ratio of normal stress to the longitudinal strain within elastic limit. F is the normal force applied at the end of its wire, A is area of cross section (= pr2), Dl is the extension produced due to normal force, L is the original length of the wire. · Bulk Modulus of elasticity (K) It is defined as the ratio of normal stress to the volumetric strain within the elastic limit. 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
· 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
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