Solve this problem based on the screenshots. Show your work by using AISC steel book.

Consider a W$24$X$68$ beam of A$36$ steel in an existing building. Determine if this is compact, noncompact,

or slender$-$element section.

Consider a W$24$X$76$ beam of A$992$ steel. Note that this is a compact section. Calculate the following in their

ordinary units. You may check your results with values given in the AISC Manual.

a$\backslash$phi $\_($b$)$M$\_($p$)$

b$\backslash$phi $\_($b$)$M$\_($r$)$

c$\backslash$phi $\_($b$)$BF

dL$\_($p$)$

eL$\_($r$)$

Consider a W$21$X$68$ beam of A$992$ steel. Note that this is a compact section. Calculate $\backslash$phi $\_($b$)$M$\_($n$)$ for each of the

following cases using equations in the AISC Specification $($do not look up results from AISC Manual though

you can check your results$).$

aL$\_($b$)=5$ft

bL$\_($b$)=15$ft

cL$\_($b$)=22$ft

dL$\_($b$)=26$ft