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Shear Stress

Shear strain is caused by the shear stress txy · Then

Shear stress / Shear strain = G

 

where G is called shear modulus or modulus of rigidity.

txy / ᵞxy = G

txy  = G . ᵞxy

 

In Fig. 2.15 is shown a rectangular block ABCD fixed at one face AC and subjected to force F. After application of force, it distorts through an angle a. and occupies new :position AB’CD’. The shear strain ‘Yxy is given by

ᵞxy = DD / CD = tan a

= a [ as a is very small]

 

By the previous definition,

ᵞxy = 900 – θ = a ,