A semicircular groove with a $3\mathrm{.}6$ mm radius is required in a $31\mathrm{.}2$ mm diameter shaft. If the maximum allowable shear stress in the shaft

must be limited to $45$ MPa $,$ determine the maximum torque that can be transmitted by the shaft.

Part $1$

Use the appropriate figure to determine the stress concentration factor $K.$

Answer:

$K=$

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Part $2$

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Part $3$

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