Young’s Modulus, Modulus of Rigidity and Volume Modulus of Elasticity

Young’s Modulus or Modulus of Elasticity

It is the ratio between tensile stress and tensile strain or compressive stress and compressive strain. It is denoted by E.

E=σ/e

Where,

E – Young’s Modulus

σ – Stress

e – Strain

Modulus of Rigidity

It is defined as the ratio of shear stress (τ) to shear strain and is denoted by C, N or G. It is also called shear modulus of elasticity.

C,N or G=τ/es

Where,

C, N or G – Modulus of Rigidity

τ – Shear Stress

es – Shear Strain

Bulk or Volume Modulus of Elasticity

It may be defined as the ratio of normal stress (on each face of a solid cube) to volumetric strain and is denoted by the letter K.

K=σn/ev

Where,

K – Bulk or Volume Modulus of Elasticity

σn – Normal Stress

ev – Volumetric Strain

 

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