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A load $P$ is supported by a structure consisting of rigid bar ABC, two identical solid bronze $[E=$

$15,000$ksi rods, and a solid steel $E=30,000$ksi rod, as shown in the figure. The bronze rods $(1)$

each have a diameter of $0\mathrm{.}625$ in $.$ and they are symmetrically positioned relative to the center rod

$(2)$ and the applied load $P.$ Steel rod $(2)$ has a diameter of $0\mathrm{.}375$ in$.$ If all bars are unstressed before

the load $P$ is applied, determine the normal stresses in the bronze and steel rods after a load of $P$

$=14$kips is applied. $(35$ points$)$