QUESTION $3$

$[$TOTAL MARKS: $25]$

Q $3($a$)$

$[15$ Marks$]$

The solid beam shown in Figure $3$ has a diameter of $36$ mm $,$ and a load of $P=900N$ is applied at Point $D($the free end$)$

Find the normal and shear stresses on an element located at point H $($element has sides parallel to the $x$ and $y$ axis$)$

Figure $3-$ combined loading

Q $3($b$)$

Find the principal stresses for point $H$

$[5$ Marks$]$

Q $3($c$)$

$[5$ Marks$]$

Find the factor of safety as predicted by the Distortion Energy Theory Failure Theory for the location H $,$ if the material has a yield strength of $Sy=250$MPa

$[$End of Question $3]$