Problem No$.1[15$ marks$]$

A second$-$floor office space is shown in Figure $1$ and the floor structure consists of the following

components: $$

Floor system: $3$ mm thick vinyl tile installed over a $17$ mm thick oriented strand board $($OSB$)$

subfloor. The flooring is supported by a series of joists $(38235mm).$

Ceiling system: $12$ mm thick acoustic ceiling tiles are suspended below the joists.

Mechanical components: A sprinkler system $(75\frac{N}{m^2})$ is added into the ceiling.

Electrical components: Ceiling light and other electrical components $($combined load is $50\frac{N}{m^2})$

are also added to the ceiling.

You are tasked with analyzing the load distribution within the structural system, consisting of joists,

beams, and columns.

Tributary Widths and Areas:

Determine the tributary widths $($in meters$)$ for the joists and beams, and tributary areas $($in

square meters$)$ for the columns in the floor system.

Clearly label and show how the tributary areas for the different structural members are

calculated.

Load on Joist J$1$:

Calculate the total uniform load acting on the interior Joist J$1$ in $k\frac{N}{m}.$

$($Hint: Include the dead load and live load in your calculations.$)$

Load on Beams B$1$ and B$2$:

Calculate the total uniform load acting on Beams B $1$ and B $2,$ in $k\frac{N}{m}.$

$($Hint: Consider the load contributions from the joists to the beams.$)$

Axial Loads on Columns C$1,$ C$2,$ C$3$:

Determine the total axial load acting on Columns $C1,C2,$ and $C3,$ in kC $,$

$($Hint: Combine the load contributions from the tributary areas of the beams and joists above

each column.$)$

Additional Information:

The loads are uniformly distributed across the floor.

Use BCBC $2024$ to calculate the applicable live load.

Apply appropriate BCBC $2024$ load combinations $($i$.$e$.,$ combinations of dead load, and live load$)$

to determine the total loads acting on the structural members.

Legend:

J$1-$ Floor Joists @ $500$ mm spacing $($Figure $1$ displays fewer joists than are actually$\_$present$)$

C $1-$ Interior Column

C $2-$ Perimeter Columns $($along the length of the floor$)$

C$3-$Corner Columns

C$4-$ Perimeter Columns $($along the width of the floor$)$

B$1-$ Perimeter Beams

B$2-$Interior Beams

please provide me a detailed hand calculated solution with diagrams.