${?}^{D\text{P}\text{r}\text{o}\text{b}\text{.}6\mathrm{.}3-24.\text{A}\text{c}\text{a}\text{n}\text{t}\text{i}\text{l}\text{e}\text{v}\text{e}\text{r}\text{b}\text{e}\text{a}\text{m}is\text{s}\text{u}\text{b}\text{j}\text{e}\text{c}\text{t}\text{e}\text{d}to\text{t}\text{w}\text{o}\text{c}\text{o}\text{n}-}$ centrated loads, and its cross section has the dimensions shown in Fig. P$6\mathrm{.}3-24.($a$)$ Sketch shear and moment diagrams for 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 compression$)$ 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 $I=122({10}^6)m{m}^4.$

P$6\mathrm{.}3-24$