Purpose: To apply techniques learned to analyze and design a rectangular reinforced concrete beam for moment according to ACI specifications.

Analysis of Singly reinforced concrete beam. For the beam shown below, determine the following:

$($a$)$ Determine the maximum ultimate moment, $M_u.$

$($b$)$ Compute the flexural strength, $M_R,$ of the beam using internal couple method.

$($c$)$ Compute the flexural strength, $M_R,$ of the beam using ACI tables method $($Using flowchart and appendix tables$).$

$($d$)$ Is this beam adequate for the design moment according to ACI Code?

$($e$)$ If it is over$-$designed, $M_R>>M_u,$ what would you suggest as Structural Engineer to change in section$/$reinforcing to decrease it$?$ Explain why.

$($f$)$ Does it satisfy other requirements of ACI Code $($minimum required width of the beam to furnish rebars, min. reinforcement ratio$)?$

Other properties of the beam:

Concrete properties: $f_c^{\text{'}}=4000$ psi and density of $150pcf.$

Steel properties: grade $60$ steel rebars.

Beam is an internal member, Cover$=1\mathrm{.}5$in

Assume #$3$ stirrups are used.

Design of reinforcing for singly$-$reinforced concrete beams. Design a rectangular reinforced concrete beam to resist a total design moment, $M_u$ of $140$k$-$ft $($This includes the moment due to self$-$weight of beam$).$ Architectural considerations require that the width $($b$)$ be $12$in$.$ and the overall depth$($h$)$ be $18$in$.$ and clear cover is $1\mathrm{.}5in.$ Use $f^{\text{'}}c=3000$ and $fy=60,000.$ Sketch your design.

Free Beam Design. Design a rectangular beam for a $25-ft$ simple span if a dead load of $1\frac{k}{f}t($not including the beam weight$)$ and a live load of $2\frac{k}{f}t$ are to be supported. Use $f{c}^{\text{'}}=4000$ and $fy=60,000.$ Sketch your design.