A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_{p}$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is $\alpha \frac{M_{p}}{L}$, the value of $\alpha$ is

A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_{p}$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is $\alpha \frac{M_{p}}{L}$, the value of $\alpha$ is

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