ARCH $2211-2024$

Ex $2\mathrm{.}4$a Beam Design Sizing Exercise $($group$)$

Given the floor framing isometric and the material performance specs, design and size both beams B$-1$A and B$-1$C$.$

Outputs for each beam shall include : its LVM diagram, solution to find $d_v$ and $d_B$ of each beam, and its foreseen sag

Information:

Total Load $=100$ #$/$ sqft

Beam B$-1$A$-$supported at the ends

Beam B$-1$C $-$ supported at one end $+$ overhang

Glulam Beam Maximum Allowables :

$f_s=1600$ psi $,f_v=200$ psi

$=\frac{L}{240},E=1\mathrm{.}8M$ psi

$b=3$ inch $,d=?$

Task for this exercise :

Design both glue$-$laminated beams B$-1$A and B$-1$C$,$ sizing them optimally based on the max. stress & sag limits

Outputs :

Define the tributary area to generate the beam's loading diagram.

Develop complete LVM diagrams for each beam $($complete labels and units$).$

Use $f_3$ and $f_v$ tests to size each beam. Then round up $"$d$"$ to next upper inch. Then use the round$-$up size to verify sag is within the standard of $\frac{L}{240}.$

State clearly the final size for each beam.

Draw graphic outputs well. Box final answers. Remember units.