QUESTION $2$

a$)$

A $10-$ft$.-(3-m-$span cantilever beam has an effective cross section $((bd)$ of $1224in.(300600mm)$ and is reinforced with five no$.8(525mm)$ bars. If the uniform load due to its own weight and the dead load are equal to $685l\frac{b}{f}t(10k\frac{N}{m}),$ determine the allowable uniform live load on the beam using the ACl load factors. Given: $f_c^{\text{'}}=3$ksi$(20$MPa$)$ and $f_y=60$ksi$(400$MPa$).$

$(12$ marks$)$

b$)$

A rectangular concrete section has a width of $b=12in..(300mm),$ an effective depth of $d=18in.(450mm),$ and $d^{\text{'}}=2\mathrm{.}5in.(60$ mm $).$ If compression steel consisting of two no$.7$ bars $(220mm)$ is used, calculate the allowable moment strength that can be applied on the section if the tensile steel, $A_s,$ is as follows:

a$.$ Four no$.7(420mm)$ bars

b$.$ Eight no$.7(820mm)$ bars

Given: $f_c^{\text{'}}=3$ksi$(20$MPa$)$ and $f_y=40$ksi$(300$MPa$).$