The beam's cross$-$section remains the same along x direction, which is a solid rectangle with a width $\backslash (\backslash$mathrm$\{$b$\}=0\mathrm{.}2\backslash$mathrm$\{$~m$\}\backslash )$ and height $\backslash (\backslash$mathrm$\{$h$\}=0\mathrm{.}4\backslash$mathrm$\{$~m$\}\backslash ).$ Find out

$1)$ the maximum magnitude $($absolute value$)$ of shear stress and

$2)$ the location $($in terms of $\backslash ($ x$,$ y$,$ z $\backslash ))$ of maximum magnitude of shear stress $\backslash (\backslash$tau$\_\{$x y$\}\backslash )$ in this beam.

Final answers: $1)$ max shear stress is $1\mathrm{.}12$ kPa $.2)$ You need to find the $\backslash (\backslash$mathrm$\{$x$\},\backslash$mathrm$\{$y$\}\backslash )$ coordinates by yourself.

$2)$ The load is same as problem $1$

Find the shear stresses at points A$,$ B$,$ B$\text{'},$ C$,$ D$,$ and E on the cross$-$section, all of which points are located on a cross$-$section that is $1\mathrm{.}5$ meters away from the left end of the beam $(\backslash ($ x$=1\mathrm{.}5\backslash )\backslash (\backslash$mathrm$\{$m$\})\backslash ).$

Where are the points: A and E are on top and bottom surfaces, respectively. B and B$\text{'}$ are two points on both sides of the surface, which is $4$ cm below the top surface. C is the centroid of the whole cross$-$section. D is $4$ cm above the bottom surface.