A fixed-end beam is subjected to a concentrated load ($P$) as shown in the figure. The beam has two different segments having different plastic moment capacities ($M_P, 2M_P$) as shown.
The minimum value of load ($P$) at which the beam would collapse (ultimate load) is
- $7.5 \: M_P/L$
- $5.0 \: M_P/L$
- $4.5 \: M_P/L$
- $2.5 \: M_P/L$