Question

At the limit state of collapse, an RC beam is subjected to flexural moment 200 kN-m, shear force 20 kN and torque 9 kN-m. The beam is 300 mm wide and has a gross depth of 425 mm, with an effective cover of 25 mm. The equivalent nominal shear stress (${\tau }_{ve}$) as calculated by using the design code turns out to be lesser than the design shear strength (${\tau }_c$) of the concrete.

The equivalent shear force ($V_e$) is

• A. 20 kN
• B. 54 kN
• C. 56 kN
• D. 68 kN

Answer 1

The correct option is D 68 kN

Flexural moment,
M = 200 kN-m
Shear Force, V = 20 kN
Torque, T = 9 kNm
Width, B = 0.3 m
Depth, D = 0.425 m
Equivalent shear force

$V_e=V+\frac{1.6T}{B}=20+\frac{1.6\times 9}{0.3}=68kN$