A $14-$ft long $212$ is used as a replacement for the primary

load carrying member in this $6-$ft wide deck. The No$.2$ SPF

$212$ joist is supported by engineered joist hangers on

each end, so you can conservatively use the full board

length as the length in your calculations. This support

condition, i$.$e$.$ properly installed joist hangers, provides

end restraint against lateral$-$torsional buckling. The

decking in nailed to restrained the compression face of

the joist. Use engineering judgement in determining the

adjustment factors and the superimposed dead load due

to No$.2$ SPF $26$ decking. $($Want to see the failed beam

before this replacement beam was installed? Log into our

first Canvas Discussion $-$ thanks to Joel S$.$ for sharing!$)$

a$.$ Determine the maximum snow load, $w_{\text{s}\text{n}\text{o}\text{w}}($in psf$),$ based on bending capacity for this $212$

member. $($Hint: start with drawing a plan view to determine the tributary load area and draw

the idealized beam, let $M=M^{\text{'}},$ then solve for the snow load in psf$,$ not plf$.$ Be careful with units.$)$

b$.$ Determine the maximum snow load, $w_{\text{s}\text{n}\text{o}\text{w}}($in $psf),$ based on shear capacity for this $212$

member.

c$.$ Specify the governing snow load, $w_{\text{s}\text{n}\text{o}\text{w}}($in $psf),$ based on flexure and shear.