Consider the rod shown in $($Figure $1).$ The rod is made of aPart A

The grains of wood in the board make an angle of $20$

with the horizontal as shown. Using Mohr's circle,

determine the normal and shear stresses that act

perpendicular and parallel to the grains if the board is

subjected to an axial load of $P=270N.($Figure $1)$

Determine the normal stress.

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

${}_{x^{\text{'}}}=$

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Part B

Determine the shear stress.

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

${}_{x^{\text{'}}{y}^{\text{'}}}=$

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material having an allowable normal stress of

${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=158$MPa and an allowable shear stress of

${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=50$MPa.

Figure

Determine the minimum diameter $d$ of the rod to safely support the load.

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

$d=$

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