(Solved): Problem \# 1: This problem illustrates that the factor of safety for a machine element depends on ...

Problem \# 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 factor of safety, based upon the distortion energy theory, for stress elements at $$A$$ and $$B$$ of the member shown in the figure. This bar is made of AISI 1006 cold drawn steel ( $${\mathrm{S}}_{\mathrm{UT}}=300\mathrm{MPa},{\mathrm{S}}_{\mathrm{Y}}=170\mathrm{MPa}$$ ) and is loaded by the force, $$\mathrm{F}=0.55\mathrm{kN},\mathrm{P}=4.0\mathrm{kN}$$, and Naglect transverse Shear at A