Pr$\mathrm{.}1$: The beam in Figure has continuous lateral support. If the live load is twice the dead load, what is the maximum total service load, in kips.ft$,$ that can be supported? A$992$ steel is used.

Pr$\mathrm{.}2-$ Design the beam shown to carry the service loads as indicated. Lateral supports to the beam at A$,$ B and C$.$ Fy $=50$ksi.

Pr$\mathrm{.}3-$ Redesign the beam in Problem $3$ if the deflection is limited to L$/360.$