A $5-$m$-$long simply supported timber beam

carries two concentrated loads as shown in the

figure at top right. The cross$-$sectional

dimensions of the beam are shown in the

figure below, at right. $($Note: for each part

below, draw the stress element in the

appropriate plane. Include coordinate axes

and label the stresses, showing proper direction and magnitude. Label

the location on the diagrams at top$-$right $($or on your own sketches$).)$

b$.$ At section a$-$a$,$ determine the magnitude of the shear stress in the beam

at point H$.$ If the magnitude of the bending stress at point H is $1\mathrm{.}3$ MPa,

draw a stress element, showing both of these stresses on the same stress

element.

c$.$ At section a$-$a$,$ determine the magnitude of the shear stress in the beam

at point K$.$ If the magnitude of the bending stress at point K is $2\mathrm{.}2$ MPa, draw a stress element,

showing both of these stresses on the same stress element.

d$.$ Determine the location of the maximum shear stress that occurs in the beam at any location

within the $5-$m span length. Compute all stresses that occur at that point and draw them on a

single stress element.

e$.$ Determine the location of the maximum compression bending stress that occurs in the beam at

any location within the $5-$m span length. Compute all stresses that occur at that point and draw

them on a single stress element. Problem $5$: