Problem $1$

The beam's maximum shear demand is $V=25$kips and moment of inertia is $I_x=286\mathrm{.}7i{n}^4$ based on diagrams below.

Loading diagram of beam

a & b$)$ Calculate shear stress $f_v$ at the neutral axis and just below the interface between flange and web $($use web width$).$

c$)$ Determine which location leads to the maximum shear stress $f_{v,\text{m}\text{a}\text{x}}$ and check it against the allowable stress $F_v.$