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# Shear Modulus or Modulus of Rigidity

It has been found experimentally that within the elastic limit, the shear stress is directly proportional to shear strain. Mathematically,

τ ∝ φ            or           τ = C . φ            or               τ / φ = C

where,   τ = Shear stress,
φ = Shear strain, and
C = Constant of proportionality, known as shear modulus or modulus of rigidity. It is also denoted by N or G.

The following table shows the values of modulus of rigidity (C) for the materials in every day use:

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