$4\mathrm{.}13!$

For Problems $4\mathrm{.}10$ to $4\mathrm{.}22,$ design rectangular sections for the

beams, loads, and $$ values shown. Beam weights are not included

in the loads shown. Show sketches of cross sections, including

bar sizes, arrangement, and spacing. Assume concrete weighs

$150l\frac{b}{f}{t}^3,f_y=60,000,$ and $f_c^{\text{'}}=4000,$ unless given

otherwise.

Problem $4\mathrm{.}10$

Problem $4\mathrm{.}12$

$P_L=24k,P_L=24k$

Use $=\frac{0\mathrm{.}18f_c^{\text{'}}}{f_y}$

Problem $4\mathrm{.}13$ Repeat Problem $4\mathrm{.}12$ if $w_D=1\mathrm{.}5\frac{k}{f}t$ and

$P_L=30k.($One ans. $16in.34in.$ with $4$#$11$ bars$)$

Problem $4\mathrm{.}11$ Repeat Problem $4\mathrm{.}10$ if $w_D=2\frac{k}{f}t$ and if

$P_L=10k.($One ans. $12in.21in.$ with $4$#$8$ bars$)$