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Two solid bars support a load $P$ as shown. Bar $(1)$ has a cross$-$sectional area of $A_1=4500m{m}^2$ and an allowable normal stress of $120$

MPa. Bar $(2)$ has a cross$-$sectional area of $A_2=2050m{m}^2$ and an allowable normal stress of $130$ MPa $.$ Assume $x_1=2\mathrm{.}1m,x_2=2\mathrm{.}6m,y_1$

$=1\mathrm{.}4m,$ and $y_2=2\mathrm{.}8m.$ 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: $P_{\text{m}\text{a}\text{x}}=$

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