Multiple choice

A propped cantilever of span L is carrying a vertical concentrated load acting at midspan. The plastic moment of the section is Mp. The magnitude of the collapse load is

  1. $\frac{8M_P}{L}$
  2. $\frac{6M_P}{L}$
  3. $\frac{4M_P}{L}$
  4. $\frac{2M_P}{L}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a propped cantilever with a concentrated load at midspan, the collapse mechanism involves plastic hinges at the support and under the load. Equating internal work to external work gives the collapse load.