Question

The intensity of u.d.I. which its acts over the entire span of m of a cantilever beam of rectangular cross-section of width 100 mm and depth 200 mm, would produce a maximum shear stress of $1.5N/m{m}^2$, is

• A. 20 kN/m
• B. 30 kN/m
• C. 26.6 kN/m
• D. 36.6 kN/m

Answer 1

The correct option is A 20 kN/m

$\because {\tau }_{max}=1.5{\tau }_{avg}$

$\therefore 1.5=1.5{\tau }_{avg}$

$\Rightarrow {\tau }_{avg}=1MPa$

$\because {\tau }_{avg}=\frac{V}{bh}$

$\Rightarrow \frac{V}{100\times 200}=1$

$\Rightarrow V=20kN$

$\because w\times 1=20$

$\Rightarrow w=20kN/m$