Multiple choice

At the limit state of collapse, an R.C. 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 flexural moment (Mel) for designing the longitudinal tension steel is

  1. 187 kN-m

  2. 200 kN-m

  3. 29 kN-m

  4. 213 kN-m

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equivalent moment Me = M + T(1 + D/b) / 1.7. Plugging in values: 200 + 9 * (1 + 425/300) / 1.7 = 200 + 9 * (2.416) / 1.7 = 200 + 12.79 = 212.79 kN-m, rounded to 213 kN-m.