Question

A reinforced concrete beam of rectangular cross section of breadth 250 mm and effective depth of 450 mm is subjected to a factored shear force of 150 kN. The grade of concrete, main steel and stirrup steel are M20, Fe415 and Fe250 respectively. Design shear strength of concrete is $0.48N/m{m}^2$. The spacing of 2-legged 8 mm stirrups to be provided is ____ mm. [Give answer in multiple of 5]

• A. 100
• B. 195
• C. 36
• D. 62

Answer 1

The correct option is A 100

$\because V_u=150kN$

Stirrups will be designed for $V_{us}$
Where,

$V_{us}=V_u-{\tau }_c\times Bd=(150-0.48\times 450\times 250\times {10}^{-3})kN=96kNSpacing,S=\frac{0.87f_y{A}_{sv}\times d}{V_{us}}=\frac{0.87\times 250\times 2\times \frac{\pi }{4}\times 8^2\times 450}{96\times 1000}=102.49mm\simeq 100mmc/c\left(say\right)$