# What is the formula for Shearing (or) Rigidity modulus ‘n’?

Posted in Elasticity | Email This Post |The ratio of tangential force per unit area to angular deformation occurred in body is known as Shearing (or) Rigidity modulus ‘n’ . It can also be defined as the ratio of shearing stress to shearing strain within elastic limit is Modulus of Rigidity ‘n’.

**Rigidity modulus = T / θ ** —- where T = the tangential force/unit area and θ is the angle of shear measured in radian,

**Rigidity modulus = Force /Area θ**

It can also be **Rigidity modulus = Shear Stress / Shear Strain**

**Shear Stress** = Force (F) /Area (A)

**Shear Strain** = **Δ **x / h —— where **Δ **x is displacement and h is the separation between the top and bottom surfaces.

using the above formula we get,

**Rigidity modulus = F h /A Δx**

The unit for rigidity modulus is ‘newton metre-2 radian-1’ with symbol N m-2 rad-1.

The other unit which is widely used for rigidity modulus is pascal radian-1(Pa rad-1).