PROBLEM $2$

Note: the reinforcement shown in the beam section detail just represents "some area of steel" placed in a single layer.

For the beam section, answer the following:

$($a$)$ Given that the strain in the compression reinforcement is $\text{'}$s $=0\mathrm{.}00193,$ determine if this section is a tension$-$controlled, compression$-$controlled, or a transition section.

$($b$)$ For the beam condition in part $($a$),$ calculate the compression reinforcement area.

$($c$)$ Using the results of parts $($a$)$ and $($b$),$ calculate the design flexural strength, $M_n.$ Justify all assumptions.

$($d$)$ What is the maximum service concentrated live load that the beam can support for the loading condition shown. Use a factored load case of $1\mathrm{.}2$D$+1\mathrm{.}6$L$.$

PROBLEM $2$

Note: the reinforcement shown in the beam section detail just represents "some area of steel" placed in a single layer.

For the beam section, answer the following:

$($a$)$ Given that the strain in the compression reinforcement is $\text{'}$s $=0\mathrm{.}00193,$ determine if this section is a tension$-$controlled, compression$-$controlled, or a transition section.

$($b$)$ For the beam condition in part $($a$),$ calculate the compression reinforcement area.

$($c$)$ Using the results of parts $($a$)$ and $($b$),$ calculate the design flexural strength, $M_n.$ Justify all assumptions.

$($d$)$ What is the maximum service concentrated live load that the beam can support for the loading condition shown. Use a factored load case of $1\mathrm{.}2$D$+1\mathrm{.}6$L$.$