The internal shear force $V$ at a certain section of a steel beam is $87$ kips. If the beam has the cross section shown $($assume $a=3\mathrm{.}1$ in$.,b_1$

$=3\mathrm{.}1in.,b_2=6\mathrm{.}1in.,t_w=t_f=1\mathrm{.}3$ in$.,d=12\mathrm{.}8$ in$.),$ determine:

$($a$)$ the value of $Q$ associated with point $H,$ which is located $3\mathrm{.}1$ in$.$ below the top surface of the flanged shape.

$($b$)$ the maximum horizontal shear stress ${}_{\text{m}\text{a}\text{x}}$ in the flanged shape.

Answers:

$($a$)Q=$

in$.{?}^3.$

$($b$){}_{\text{m}\text{a}\text{x}}=$

ksi.