Problem $3$

The shown beam, having the shown cross section area. The allowable tensile and compression stresses are $250$ and $300$ MPa respectively. Determine,

a$)$ The maximum applied load $\backslash (\backslash$mathrm$\{$P$\}\_\{1\}\backslash )($when $\backslash (\backslash$mathrm$\{$P$\}\_\{2\}=0\backslash )).$

b$)$ smallest value of $\backslash (\backslash$mathrm$\{$P$\}\_\{2\}\backslash )$ that makes this cross section with no tensile stress.