Question

A rectangular beam 10 cm wide, is subjected to a maximum shear force of 50000 N, the corresponding maximum shear stress being 3 N/mm2 The depth of beam is (a) 25 cm (c) 16.67 cm (b) 22 cm (d) 30 cm

Answer 1

Option B is the correct answer.

Step-by-step explanation:

Shear stress is the ratio of shear force to area.

We have

Shear stress = 3 N/mm² = 3 x 10⁶ N/m²

Area = Area of rectangle = 10 x 10⁻² x d = 0.1d

Shear force = 50000 N

Substituting

`\texttt{Shear stress}=\frac{\texttt{Shear force}}{\texttt{Area}}\\\\3* 10^6=(50000)/(0.1d)\\\\d=0.1667m=16.67cm`

Width of beam = 16.67 cm

Option B is the correct answer.