Consider the structure below made of a $25-$mm$-$diameter round rod with static,

mutually perpendicular loads of $1000N$ and $500N$ applied at its end $($Cross$-$

section A$).$ The other end $($Cross$-$Section B$)$ is fixed. Address the following

questions:

a$)$ At end B$,$ compute the stresses at the critical location within the cross$-$section.

Ignore transverse shear and any stress concentrations.

b$)$ Show stresses on a properly oriented element and draw the Mohr's circle.

c$)$ Apply Tresca theory for yielding and pick up one material suitable for this

design using the table given below.

d$)$ Draw Tresca yield locus and locate the point of operation on it$.$ Comment on

safety factor.

Hints:

${}_e=\sqrt[\phantom{2}]{{}_{}^2+{}_{yy}^2-{}_{}{}_{yy}+3{}_{xy}^2}=\frac{{}_{\text{y}\text{i}\text{e}\text{l}\text{d}}}{sF.}$

${}_{\text{m}\text{a}\text{x}}=\frac{\frac{{}_{\text{y}\text{i}\text{e}\text{l}\text{d}}}{2}}{S.F.}$