PROBLEM $2.$ Total points $50.$ Problem P$6\mathrm{.}8-3$ of textbook, $[$Craig and Taleff, $2020].$ A

simply supported beam $AC$ of length $4m$ supports a concentrated load $W=1\mathrm{.}0kN$ that

hangs from the beam at $B,$ as shown in the figure below. The cross section of the beam is

$40mm60mm.$

$(5$ points$)$ Determine the support reactions

$(5$ points$)$ Following the graphical method as explained in the examples of $5\mathrm{.}5$ of your

textbook, draw the shear force $V(x)$ diagram. Hint: refer to Table $5\mathrm{.}1$ of textbook.

$(5$ points$)$ Following the graphical method as explained in the examples of $5\mathrm{.}5$ of

your textbook, draw the bending moment $M(x)$ diagram. Hint: refer to Table $5\mathrm{.}1$ of

textbook.

$(5$ points$)$ Determine the second moment of inertia of the cross$-$section, around the

neutral axis.

$(15$ points$)$ Determine the flexural stress $(x,y)$ at three levels $y_1=0mm,y_2=10mm,$

$y_3=20mm(5$ points each$),$ on the cross section just to the left of the load point B$.$

$(15$ points$)$ Determine the shear stress $(x,y)$ at three levels $y_1=0mm,y_2=10mm,$

$y_3=20mm(5$ points each$),$ on the cross section just to the left of the load point B$.$