Complete the following problem. It is recommended that you create a spreadsheet to aid in your design. You may turn in a spreadsheet printout $($pdf$),$ but it must be wellannotated to ease review. Include two cross$-$section details $($one for the positive moment region, one for the negative moment region$)$ showing the key dimensions $($b$,$d$,$h$),$ stirrup and hangers bar size, and tension reinforcement location, bars sizes, number of bars, and center$-$to$-$center spacing. Also, provide an elevation view of the beam showing where the tension steel bars are located along the length of the beam.

Problem $1$

Assuming no deflection limitation$,$ select a rectangular section for the beam shown. Use the same cross$-$section dimensions $\backslash ($ b $\backslash$& h $\backslash )$ for the entire length of the beam. The loads given are in addition to the beam weight. Select reinforcement for both the positive and negative moment regions. $($Note: Live load is always to be applied in the locations and distributions that will cause the most severe effects; spans may be fully loaded, partially loaded, or unloaded, as necessary to obtain maximum effects.$)$

$\backslash [$

$\backslash$begin$\{$array$\}\{$l$\}$

f$\_\{$c$\}^\{\backslash$prime$\}=3,500$ p s i $\backslash \backslash$

f$\_\{$y$\}=60,000$ p s i

$\backslash$end$\{$array$\}$

$\backslash ]$

Regarding the note. Use qualitative influence line diagrams to help you determine where to place your live loads for maximum effects on the beam. Consider the worst$-$case moment in the main span and over the roller support. Below is a video to help jog your memory about how to visualize influence diagrams.