The bracket is held to the wall using three $A-36$ steel bolts at $B,C,$ and $D.$ Each bolt has a diameter of $0\mathrm{.}8$ in and an unstretched length of $2$ in$.$

Part A

If a force of $P=500lb$ is placed on the bracket as shown, determine how far, s$,$ the top bracket at bolt $D$ moves avay from the wall. For the calculation, assume that the bolts carry no shear; rather, the vertical force of $500$ lb is supported by the toe at $A.$ Also, assume that the wall and bracket are rigid. A greatly exaggerated deformation of the bolts is shown in the figure.

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

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