Consider the building floor plan shown below.

Beam dimensions are: width, $b_w$ of $12in$ and overall depth, $h,$ of $24$ in$.$ The $24$ in$.$ depth includes

the $6in.$ slab, so the beams hang $18in.$ below the slab. Story heights are $12ft,$ center$-$to$-$center.

The concrete is normalweight concrete.

The space is an upper floor retail space. Assume a superimposed dead load $($SDL$)$ of $20$ psf$.$ Live

load reductions should be used, as permitted. Shear and moment demands should be determined

per ACI $318-19$ Section $6\mathrm{.}5($see handout if you do not have your code yet$).$NOTE $1$: For problems $1$ and $2,$ it is appropriate to use the average $"l"$ for adjacent spans when

calculating moment demands at supports where the beam is continuous. For example, to calculate

the negative moment in the $E-W$ beam at $Al,l_n$ is $30ft$ minus the column dimensions. To

calculate the negative moment in the E$-$W at $Bl,l_n$ is $27\mathrm{.}5ft$ minus the column dimensions.

NOTE $2$: For problem $1,$ assume the slab edge is parallel to the outside edge of the columns.

For the beam spanning between columns $A1$ and D$1,$ use the ACI shear and moment

coefficients to:

a$.$ Determine the beam shear demand $(V_L)$ at critical sections $($there are six critical

sections for shear$),$

b$.$ Determine the beam moment demand $(M_u)$ at critical sections $($there are nine critical

sections for moment$),$ and

c$.$ Draw an approximate distribution of shear and moment for these spans.

For beam $m-n-o-p,$ use the ACI shear and moment coefficients to:

a$.$ Determine the beam shear demand $(V_S)$ at critical sections $($there are six critical

sections for shear$),$

b$.$ Determine the beam moment demand $(M_u)$ at critical sections $($there are nine critical

sections for moment$),$ and

c$.$ Draw an approximate distribution of shear and moment for these spans.

Extra Credit $(+5$ pts$)$:

Model the beam spanning along column line B using SAP$2000$ or RISA or Revit. Although

you will model all four spans, it is symmetric. Please report for the beam spanning between

columns B$1$ and B$3$:

a$.$ The beam shear demand $(V_{})$ at critical sections $($there are four critical sections for

shear$),$

b$.$ The beam moment demand $(M_u)$ at critical sections $($there are six critical sections

for moment$),$ and

c$.$ Submit a plot of the shear and moment distributions for these two spans.MYTo calculate negative moments, $l_n$ shall be the average of the adjacent clear span

lengths.