The long bolt passes through the $30-$mm

$-$thick plate as shown in $($Figure $1).$ The force in the bolt shank is P

$=5\mathrm{.}0$ kN

$.$

Figure$1$ of $1$

A horizontal bolt passes through a vertical plate with a thickness of $30$ millimeters. The head of the bolt is on the left side of the plate. The diameter of the shank of the bolt is $7$ millimeters, and the height of the head is $8$ millimeters. A vertical washer with a diameter of $18$ millimeters is placed on the bolt between the head and the plate. Two horizontal section lines each labeled $\text{'}$a$\text{'}$ extend through the plate from the top and the bottom of the washer. Two section lines b extend through the head of the bolt parallel to the top and bottom of the shank. Force P pulls the shank of the bolt horizontally rightward.

Part A

Determine the average normal stress in the shank.

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

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$\backslash$sigma s

$=$

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Part B

Determine the the average shear stress along the cylindrical area of the plate defined by the section lines a$$a

$.$

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

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$(\backslash$tau avg$)$a

$=$

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Part C

Determine the average shear stress in the bolt head along the cylindrical area defined by the section lines b$$b

$.$

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