HW$6$

Problem $1$:

Determine whether a W$1490$ is compact, noncompact, or slender for $Fy=60$ksi.Determine whether a W$615$ is compact, noncompact, or slender for $Fy=60$ksi.

Problem $2$

The beam shown in the figure below is a W$1461$ of A$992$ steel and has continuous lateral support. The load $P$ is a service live load. What is the maximum permissible value of $P?$

Problem $3$

The beam in the figure below 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.

Problem $4$

A simply supported beam in the figure below is subjected to a uniform service dead load of $1\mathrm{.}0$kip$\frac{s}{f}t($including the weight of the beam$),$ a uniform service live load of $2\mathrm{.}5$kip$\frac{s}{f}t,$ and a concentrated service dead load of $45$ kips. The beam is $40$ feet long, and the concentrated load is located $15$ feet from the left end. The beam has continuous lateral support, and A$572$ Grade $50$ steel is used. Is a W $30116$ adequate?

Problem $5$

The beam shown in the figure below is a two$-$span beam with a pin $($hinge$)$ in the center of the left span, making the beam statically determinate. There is continuous lateral support. The concentrated loads are service live loads. Determine whether a W$1279$ of A$992$ steel is adequate.

Problem $6$

A W$1626$ of A$992$ steel has an unbraced length of $8$ feet. Using $Cb=1\mathrm{.}0,$

A$)$ Compute Lp and Lr$.$ Use the equations in Chapter F of the AISC Specification. Do not use any of the design aids in the Manual.

B$)$ Compute the