"Prob. $6\mathrm{.}3-24.$ A cantilever beam is subjected to two con$-$

centrated loads, and its cross section has the dimensions

shown in Fig. P$6\mathrm{.}3-24.($a$)$ Sketch shear and moment dia$-$

grams lor the beam, expressing the shear values in terms of

$P$ and the bending moment values in terms of $PL,$ where

$L=4m.($b$)$ If the allowable flexural stress $($tension or com$-$

pression$)$ is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=180$MPa, determine the maximum value

of load $P($newtons$)$ that can be applied to the beam.

The moment of inertia about the neutral axis $($NA$)$ is $I=$

$122({10}^6)m{m}^4.$