GE $213$ Assignment $5$

The rigid bar BDH is supported by three steel wires BC$,$ DG and HK $,$ all three of which have Young's modulus $30{10}^6$ psi. Each of wires BC and DG has a length of $12$ in $.$ and a diameter of $0\mathrm{.}0625$ in $.$ Wire HK has a length of $6$ in $.$ and a diameter of $0\mathrm{.}05$ in $.$ A vertical force $P=185lb$ is applied as shown.

Neglecting the weight of the bar, determine the tension in each wire. Assume that all the given values are exact. In addition to your fbd and equilibrium equations, clearly provide a compatibility sketch and the corresponding compatibility equation.

$($Partial Final Answer: $F_{BC}=33\mathrm{.}9lb)$