Explain Shear Modulus.

Explanation

The ratio of shearing tres to be coresponding shearing strain is called the shear modulus of the material and is represented by G. It is also called the modulus of rigidity.
`G = ("Shering stress"(sigma _(s)))/("Shearing strain"(theta))`
`(F//A)/(Delta L) = (FL)/(ADeltax)`
But for shear strain `(Delta x)/(L) = tan theta =theta`
`G = ((F //A))/(theta) = (F)/(A theta)`
The shearing stress `sigma _(s)` can also be expressed as
`sigma _(s) = G xx theta`
SI unit of shear modulus is `Nm^(-2) or Pa`
The shear moduli (G) of a few common materials :

The shear moduli of a few common materials are given in table. It can be seen that shear modulus (or modulus of rigidity) is generally less than Young.s modulus.
For most materials `G ~~ (Y)/(3).`