Using the DE$-$Goodman criteria and a design factor of $1\mathrm{.}5,$ calculate the diameter based on the shaft's loadings and your guess for the shaft's diameter at the critical location, what is the shaft diameter and what is the factor of safety against yielding? Assume the notch radius to be $0\mathrm{.}50$ mm $.$

The shaft diameter is mm$.$

The factor of safety against yielding is

$.($Round the final answer to three decimal places.$)$