Consider a cantilever beam made out of steel and length $($I$)1\mathrm{.}5m,$ height $($h$)$ and breadth or width $($b$)$ and

density of $8000k\frac{g}{m^3}.$ Weight $=W=$ density $lbh$

Assume the material is homogeneous throughout the beam.

Note: all three cases have the same solid cross$-$section area $=100c{m}^2$

Determine location of highest normal stress and highest shear stress along the length of the beam.

a$.($hint consider your shear and moment diagrams$)$

At this location, at which point on the cross$-$section $($along the "height", h$,$ of the beam$)$ is

a$.$ the normal stress the highest

b$.$ the shear stress the highest

Draw Mohr's circles for each of these locations and report the values of principal stresses and maxi$-$

mum shear stress at these locations.

Note: Only solve sub$-$questions $3$ and $4$ for cross$-$sectional areas as shown in $1$a and $1$b$.$