The bracket is held to the wall using three A$-36$ steel bolts at $\backslash ($ B$,$ C $\backslash ),$ and $\backslash ($ D $\backslash ).$ Each bolt has a diameter of $0\mathrm{.}4$ in $.$ and an unstretched length of $2$ in$.$

If a force of $\backslash ($ P$=550\backslash$mathrm$\{$lb$\}\backslash )$ is placed on the bracket as shown, determine the force developed in bolt $\backslash ($ B $\backslash ).$ For the calculation, assume that the bolts carry no shear; rather, the vertical force of $550$ lb is supported by the toe at $\backslash ($ A $\backslash ).$ Also, assume that the wall and bracket are rigid. A greatly exaggerated deformation of the bolts is shown in the figure below $($Figure $1).$

Express your answer to three significant figures and include appropriate units.

Part B

Determine the force developed in bolt $\backslash ($ C $\backslash ).$

Express your answer to three significant figures and include appropriate units.

Part C

Determine the force developed in bolt $\backslash ($ D $\backslash ).$

Express your answer to three significant figures and include appropriate units.

Figure

$\backslash [$

F$\_\{$D$\}=$

$\backslash ]$