please solve for part A and B 5116 Select a Wshape for the f

please solve for part A and B

5.11-6 Select a W-shape for the following conditions: Beam spacing = 10 ft Span length 20 ft Slab and deck weight 51 psf Partition load 20 psf Miscellaneous dead load = 10 psf Live load 80 psf Fy = 50 ksi The maximum live load deflection cannot exceed L/360 a. Use LRFD b. Use ASD

Solution

beam spacing=10 ft

span length=20 ft

slab and deck weight=51 psf

partition load=20psf

miscellaneous dead load=10 psf

live load=80 psf

total dead load on beam = 51+10=61 psf

total live load=80+20=100 psf

Total uniform service load on beam=(100+61)*10=1610 lb/ft=1.61 kip/ft

factored load on beam=(1.2*61)+(1.6*100)=233.2 psf

factored line load on beam=233.2*10=2332 plf=2.332 kip/ft

maximum LRFD moment in beam=2.332*20²/8=116.6 kip-ft

maximum ASD moment in beam = 1.61*20²/8=80.5 kip-ft

Lightest beam that satisfies LRFD strength=W14x22

Lightest beam that satisifies ASD strength=W14x22