a$.$ Using the column cross$-$section for Problem $4$ and the appropriate interaction diagram $($see attached$),$ what is

the maximum moment the column can carry if there is an axial load, $P_u=335$kips, applied to the column?

b$.$ Why does the ACl code require beams to be designed as tension$-$controlled? $($Hint: how do tension$-$controlled

beams fail, and why is this type of failure desirable?$)$

c$.$ We design one$-$way slabs in $1$ foot wide strips that we treat as shallow beams. List two similarities between

beam and one$-$way slab design and list two differences.

Similarities

$1$

$2$

Differences

$1$

$2$

d$.$ A simply supported beam constructed with all lightweight concrete $(f_c^{\text{'}}=4000)$ is loaded as shown below. If

Grade $60$ No$.11$ epoxy coated bars are used to provide the flexural reinforcement, can these bars be adequately

developed? Assume this beam is reinforced with at least code minimum stirrups, there is clear spacing between

the bars of at least $d_b$ but not more than $3d_b$ and the clear cover is at least $d_b$ but not more than $2d_b.$