Problem $1-$ Present, and calculate if requested, the ACI $318-14/19$ provision$($s$)$ for the scenario$($s$)$ listed below. If needed, assume normal$-$weight concrete with $f_c^{\text{'}}=4$ksi and $Gr-60$ steel.

$($a$)(2$ points$)$ What are the reinforcement limits $($i$.$e$.,$ limits of $A_s)$ of flexural design of rectangular or nonrectangular shaped beam sections. Let $b$ or $b_w={10}^{\text{'}\text{'}},h={20}^{\text{'}\text{'}},$ and $d={17}^{\text{'}\text{'}}.$

$($b$)(2$ points$)$ What are the reinforcement limits $($i$.$e$.,$ limits of $A_s)$ of flexural design of one$-$way slabs. A representative of one$-$way slabs has a width of $b={12}^{\text{'}\text{'}}.$ Let $h=5^{\text{'}\text{'}}$ and $d=4".$

$($c$)(2$ points$)$ What are the reinforcement limits $($i$.$e$.,$ limits of $A_{st})$ for the design of a column section under axial force, or combined axial$-$force and bending. Let $b={20}^{\text{'}\text{'}},h={20}^{\text{'}\text{'}},$ and $d={17}^{\text{'}\text{'}}.$

$($d$)(2$ points$)$ What are the reinforcement limits $($i$.$e$.,$ limits of $A_v)$ of shear design for beams. Assume vertical shear reinforcement No$.3$ U$-$stirrup at $8^{\text{'}\text{'}}$ spacing. Let $b={10}^{\text{'}\text{'}},h={20}^{\text{'}\text{'}},$ and $d={17}^{\text{'}\text{'}}.$

$($e$)(2$ points$)$ What would be the 'minimum' depth of a cantilevered beam of $6-$ft in length for serviceability.