Problem $5\mathrm{.}22$ Select the tensile reinforcement needed for the T beams if the reinforced concrete is assumed to weigh $150l\frac{b}{f}{t}^3$ and Problem $5\mathrm{.}22$ Select the tensile reinforcement needed for the T beams if the reinforced concrete is assumed to weigh $150l\frac{b}{f}{t}^3$ and

a live floor load of $140l\frac{b}{f}{t}^2$ is to be supported. Assume $40-ft$ simple spans, $f_y=60,000,$ and $f_c^{\text{'}}=3000.$ Problem $2)$ Problem $5-22($McCormac and Brown, ${10}^{th}$ Ed$.,$ page $145)$

$($a$)$ Calculate the maximum factored moment $($note: remember to include the self$-$weight of slab and

beams$)$

$($b$)$ Determine the effective flange width

$($c$)$ Check if a $$#$10({}_t)()M_n{M}_u$

$(d)$ Determine the minimum steel area required using trial$-$and$-$error approach. Assume moment arm

for initial trial equal $to0\mathrm{.}9d.$ Limit the selection $of$ reinforcing steel $to$#$10$ bar and determine the

number $of$ bars required $to$ carry the factored moment.

$(e)$ Check strain $in$ tensile steel $({}_t)$ and determine reduction factor $().$

$(f)$ Select minimum bar size $tobe$ used $as$ stirrup. Provide minimum side cover $if$ the concrete $is$ not

exposed $to$ weather $or$ ground contact and check the spacing $of$ bars. Check the bottom cover $of$

the beam against minimum cover requirement. Sketch and label your final design.

$(g)$ Calculate the actual design moment capacity, $M_n,$ and verify that $itis$ greater than $M_u.$