Question $\backslash$# $1$

A continuous beam with three $24$ ft clear spans between supports and the columns is $14$ in $.$ The beam carries a uniform dead load of $\backslash (2\mathrm{.}3\backslash$mathrm$\{$~K$\}/\backslash$mathrm$\{$ft$\}\backslash )($including its weight$)$ and a uniform live load of $\backslash (3\backslash$mathrm$\{$~K$\}/\backslash$mathrm$\{$ft$\}\backslash ).$

Design the smallest singly reinforced rectangular section to be used for the entire beam.

Select steel for positive and negative moments. Use $\backslash (\backslash$mathrm$\{$f$\}^\{\backslash$prime$\}\backslash$mathrm$\{$c$\}=4\backslash$mathrm$\{$ksi$\},\backslash$mathrm$\{$fy$\}=60\backslash$mathrm$\{$ksi$\}\backslash$mathrm$\{$b$\}=12\backslash$mathrm$\{$in$\}\backslash ).$

Draw the bending and shear diagrams using the ACI Code attached for the bending moment.

Detail the longitudinal sections showing the design bars in each of the above sections.