Question

A rectangular beam of width 200 mm and depth 300 mm is subjected to a shear force of 200 kN. The maximum shear stress produced in the beam is

• A. 10.0MPa
• B. 7.5 MPa
• C. 5.0 MPa
• D. 3.33 MPa

Answer 1

The correct option is C 5.0 MPa

Average shear stress,

${\tau }_{av}=\frac{V}{bd}=\frac{200\times {10}^3}{200\times 300}=\frac{10}{3}MPa$

Maximum shear stress,

${\tau }_{max}=1.5{\tau }_{av}=5MPa$