Problem $3$ Problem $3$

For element $A$

DE theory: $n=2\mathrm{.}77$

MSS theory: $n=2\mathrm{.}72$

$1$

This problem illustrates that the factor of safety for a machine element depends on the particular

point selected for analysis. Here you are to compute factors of safety, based upon the maximum

shear stress $($MSS$)$ and distortion$-$energy $($DE$)$ theories for stress elements A of the member shown

in the figure. This bar is made of AISI $1006$ cold$-$drawn steel $(S_y=280$MPa$)$ and is loaded by the

forces $F=0\mathrm{.}55kN,P=8\mathrm{.}0kN,$ and $T=30N*m.$ SECOND IMAGE IS THE ANSWER KEY.