Two solid bars support a load $P$ as shown. Bar $(1)$ has a cross$-$sectional area of $A_1=2550m{m}^2$ and an allowable normal stress of $135$

MPa. Bar $(2)$ has a cross$-$sectional area of $A_2=3100m{m}^2$ and an allowable normal stress of $145$MPa. Assume $x_1=1\mathrm{.}5m,x_2=3\mathrm{.}9m,y_1$

$=1\mathrm{.}5m,$ and $y_2=3\mathrm{.}6m.$ Determine the maximum load $P_{\text{m}\text{a}\text{x}}$ that can be supported by the structure without exceeding either allowable

normal stress.

Answer: $P_{\text{m}\text{a}\text{x}}=$

kN