Problem H$05-05.$ Double reinforced$-$concrete beam design $[$Points: $1/5].$

Design a double$-$reinforced concrete beam to resist the moment due to a service dead load $D=150,000lbf**ft($including self$-$weight$)$ and the moment due to a service live load $L=160,000lbf**ft.$ Apply Load Combination $2$ only. The beam width is limited to $11in,$ and the effective depth $d$ is limited to $20in.$ The compression steel cover is $3$ in from the top $($measured to centerline of compressive rebars$).$ Use $f{?}_c=3,000lb\frac{f}{i}{n}^2,f_y=60,000lb\frac{f}{i}{n}^2.$ Exploit the instructor spreadsheet calculator posted in D$2$L to speed up the numerical calculations.

Hint$*$: Review the algorithm of Slides $14-24$ of the $\text{'}$L$9-$ Concrete Flexion III' handout.