QUESTION $5[12$ marks$]$

The structural system shown consists of a horizontal plate suspended by three rods. A load of $50$ kips is applied to the plate. The plate is perfectly level prior to the application of the load and remains level after the load has been applied.

The steel rods are AISI $1020$ hot$-$rolled steel.

Each is $40$ in long and has a cross$-$sectional area of $1\mathrm{.}0i{n}^2.$

The aluminum rod is $60$ in long and has a cross$-$sectional area of $1\mathrm{.}5i{n}^2.$

Calculate the load each rod will carry.

Refer to Table A$-7$ in the Beam Tables for any necessary mechanical properties.