Question

A rectangular beam of width 100 mm is subjected to maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is $4N/m{m}^2$. The depth of the beam should be

• A. 150 mm
• B. 225 mm
• C. 200 mm
• D. 100 mm

Answer 1

The correct option is B 225 mm

Maximum shear stress, ${\tau }_{max}=1.5{\tau }_{av}$

$\therefore Averageshearstress,{\tau }_{av}=\frac{4}{1.5}N/m{m}^2$

$Thedepthofbeam=\frac{V}{b{\tau }_{av}}=\frac{60\times {10}^3\times 1.5}{100\times 4}$

= 225 mm