Part A $-$ Stress$-$concentration factor due to a circular cutout

Determine the stress$-$concentration factor $K$ due to the $0\mathrm{.}5-$in$.-$diameter circular cutout in the member.

Express the stress$-$concentration factor to three significant figures.

Part B $-$ Stress$-$concentration factor due to the shoulder fillets

Determine the stress$-$concentration factor $K$ due to the $1\mathrm{.}25-$in$-$radius shoulder fillets in the membe.

Express the stress$-$concentration factor to three significant figures.

Part C $-$ Maximum applicable axial force $P$

Using the information obtained about the stress$-$concentration factors in the member, determine the maximum applicable axial force $P$ that can be applied to the member. Express the maximum applicable axial force in kips to three significant figures.

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Part D $-$ Maximum applicable axial force $P$ without the circular cutout

Using the information obtained about the stress$-$concentration factors in the member, determine the maximum applicable axial force $P$ that can be applied to the member if the circular cutout is not present.

Express the maximum applicable axial force in kips to three significant figures.

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$P=$

$$

$$ kip

Learn$$ng Goal:

To determine the effects of certain geometric shapes, namely fillets and circular cutouts, on the stress distributions inside a rigid body and to determine the maximum applicable axial force in the same rigid body while considering these stress concentrations.

The member shown below is made of steel