3.4 STRAIN ENERGY DUE TO SHEAR FORCE

A rectangular block of length l, height h and breadth b is being fixed at the bottom face DC and subjected to a shear force Pf(Figure 3.5).

 

Rectangular block under shear force

 

Fig. 3.5 Rectangular block under shear force.

 

The face AB moves through a distance δl relative to the face DC as the shear force increased gradually from zero to its final value Pf Let q be the shear stress produced and ϕ be the shear strain.

 

   Shear stress,       image
   Shear strain,       
   ∴ BB1 = δl = ϕ BC = hθ
   Then,            Shear force,

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