b$)$ A rectangular beam has a width of $12$ in$.$ and an effective depth to the cet the tensile reinforcentent of $18$ in$.$ the tensile reinforcement consists of four $No\mathrm{.}10$ bars. Compressive reinforcement is provided by three No$,8$ bars, the centroid of which is $2\mathrm{.}5$ in$.$ from the compression face of the beam. If $60,000$ psi yield steel is used at a working stress $f_s=24,000$ psi and $f_c=1800$ psi and modular ratio $8,$ compute the allowable working moment that$-$the beam can resist? Use WSD method.

A simply supported beam has a $20-$ft span and carries a self$-$weight of $200l\frac{b}{f}t,$ uniform dead load $($DL$)$ of $800l\frac{b}{f}t,$ and a concentrated Jive load $($LL$)$ at mid$-$span of $9$ kips. Sketch the flexural reinforcements after designing the beam for flexure if$,f_{e^{\text{'}}}=4$ksi, and $fy=60$ksi. Use USD method. Assume minimum beant width as per BNBC $2020.$

A cantilever beam with $10ft$ span carries a uniform dead load of $2\mathrm{.}5\frac{K}{f}t($including self$-$weight$)$ and a concentrated live load of $18$kips at the free end of the beam. Sketch the shear reinforcements after designing the beam for shear. Given: $f^{2}3$ ksi,$fy=60$ksi,$b=12in,$ and $h=18$ in$.$ Use USD method.

A reinforced concrete slab consists of two spans having the supports shown in Fig. $3($a$).$ The slab has to carry floor finish of $20$ psf$,$ partition wall of $25$ psf$,$ and a service live load is $40$ psf$.4000$ psi concrete is specified for use with steel having a yield stress of $60,000$ psi. Use Fig. $3($b$)$ and Table $1,$ when necessary. Sketch flexural and shrinkage reinforcements with appropriate bar cutoff points as suggested in Fig. $3($c$).$ Use USD method for flexural design.