For problem $4,$ check whether the provision of minimum beam depth is satisfied as per ACl $318-199\mathrm{.}3\mathrm{.}1\mathrm{.}1.$ Calculate the following. $(20$ points$)($you can use the deflection spreadsheet to solve this problem$)$

a$.$ Calculate the instantaneous deflection due to dead load, ${}_{0,j},$ after the beam is first constructed. The $l_{\text{a}\text{f}\text{f}}$ will be due to the moment caused only by the dead load.

b$.$ Calculate the additional deflection caused after the live load is applied. Remember you need to calculate this as ${}_{0-1,i}-{}_{D,i}$ where ${}_{D,i}$ is from step $($a$).$ For ${}_{D+L,},$ the $I_{ef}$ is due to the moment caused by $D+L.$

c$.$ Calculate the long$-$term deflection of the beam

For problem $4,$ check whether the provision of minimum beam depth is satisfied as per ACl $318-199\mathrm{.}3\mathrm{.}1\mathrm{.}1.$ Calculate the following. $(20$ points$)($you can use the deflection spreadsheet to solve this problem$)$

a$.$ Calculate the instantaneous deflection due to dead load, ${}_{0,,},$ after the beam is first constructed. The $l_{\text{a}\text{f}\text{f}}$ will be due to the moment caused only by the dead load.

b$.$ Calculate the additional deflection caused after the live load is applied. Remember you need to calculate this as ${}_{0-1,i}-{}_{D,i}$ where ${}_{D,i}$ is from step $($a$).$ For ${}_{D+L,},$ the $I_{ef}$ is due to the moment caused by $D+L.$

c$.$ Calculate the long$-$term deflection of the beam$-{}_{D+5,1,i}$ after $48$ months.

Please remember that you use unfactored loads for deflection calculations$|($serviceability check$).$

For problem $4,$ check whether the provision of minimum beam depth is satisfied as per ACl $318-199\mathrm{.}3\mathrm{.}1\mathrm{.}1.$ Calculate the following. $(20$ points$)($you can use the deflection spreadsheet to solve this problem$)$

a$.$ Calculate the instantaneous deflection due to dead load, ${}_{I_{{?}_{?}}},$ after the beam is first constructed. The $l_{\text{e}\text{f}\text{f}}$ will be due to the moment caused only by the dead load.

b$.$ Calculate the additional deflection caused after the live load is applied. Remember you need to calculate this as ${}_{D+1}-{}_{D,1}$ where ${}_{D,1}$ is from step $($a$).$ For $,$ the $I_{er}$ is due to the moment caused by $D+L.$

c$.$ Calculate the long$-$term deflection of the beam after $48$ months.

Please remember that you use unfactored loads for deflection calculations I $($serviceability check$).$

$4.$ A rectangular, tension$-$reinforced beam is to be designed for dead load of $500l\frac{b}{f}t$ plus selfweight and service live load of $1200l\frac{b}{f}t,$ with a $22$ ft simple span. Material strengths will be $f_1=60$ksi and $f_{c^{\text{'}}}==3$ksi for steel and concrete, respectively. The total beam depth must not exceed $16$ in $.$ Calculate the required beam width and tensile steel reinforcement, using a reinforcement ratio of $0\mathrm{.}60{}_{0\mathrm{.}055}.$ Use ACl load factors and strength reduction factors. The effective depth may be assumed to be $2\mathrm{.}5$ in less than the total depth. $4.$

A rectangular, tension$-$reinforced beam is to be designed for dead load of $500l\frac{b}{f}t$ plus self$-$weight and service live load of $1200l\frac{b}{f}t,$ with a $22$ ft simple span. Material strengths will be $f_y=60$ksi and $f_c^{\text{'}}=3$ksi for steel and concrete, respectively. The total beam depth must not exceed $16$ in$.$ Calculate the required beam width and tensile steel reinforcement, using a reinforcement ratio of $0\mathrm{.}60{}_{0\mathrm{.}005}.$ Use ACl load factors and strength reduction factors. The effective depth may be assumed to be $2\mathrm{.}5$ in less than the total depth. Use the following steps. $(30$ points$)$ Do #$5$ only