A concrete floor deck $(12$ ft x $40$ ft $)$ will be supported by four $(4)12-$foot$-$long cantilever beams,

spaced at $10-$foot center to center $($shown below$).$ The floor carries a live load of $601l\frac{b}{f}{t}^2$ and

the slab depth is $8$ inches $($Assumed $150l\frac{b}{f}{t}^3$ for unit weight$).$ At the end of each beam is

subjected to a Point load $(P)$ comprised of $2-$kip dead load and a $5-$kip live load $($shown below$).$

Calculate the maximum moment and maximum shear utilizing the load factors associated with the:

A$)$ Allow Stress Design Methodology

B$)$ Ultimate Strength Design Methodology