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Required information

A short cantilevered round peg made from AISI $1,050$ cold$-$drawn steel is $40$ mm in diameter and extends $10$ mm from the wall. It is loaded, as shown, with a force $F=50kN$ applied at the tip in the negative $z$ direction and a torque $T=800N-m.$ The cross section at the wall is also shown, with points of interest $A,B,$ and $C.$

Evaluate the state of stress at points $A,B,$ and $C,$ determine the critical case, and evaluate the minimum factor of safety based on the maximum$-$shear$-$stress theory. $($Round the final answer to three decimal places.$)$

The minimum factor of safety is $.$

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