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ACI318-14 Beam design

Mu = 360
;Mu is in kips-ft
φ = 0.9
β1=0.85
H=24
B=16
fy = 50000
fyt= 50000
fc=4000
d = H-1.5-0.375-0.5
bw=B
;Assume a
a = 4.6
c=a/β1
As = Mu/(φ*fy*(d-a/2))*12000
;check a
a = As*fy/(0.85*fc*B)
ρb=(0.85*β1*fc/fy)*(87000/(87000+fy))
ρmax=0.75*ρb
ρ=As/(B*d)
Asmin=min(3*sqrt(fc)/fy, 200/fy)*B*d
ρ<ρmax
As>Asmin
;Shear Design
Vu=33.6*1000
h=H
d=h-2.5
φ=0.75
φVc=φ*2*sqrt(fc)*bw*d
Vumax=8*sqrt(fc)*bw*d/1000
Avreq=(Vu-φVc)/(φ*fyt*d)
Avmin = max(0.75*sqrt(fc)*bw, 50*bw)/fyt
Avreq=max(Avreq, Avmin)
Av=0.44
sreq=Av/Avreq
;Maximum spacing ACI 318-14 (9.7.6.2.2)
smax=min(d/2, 24)
s=min(sreq, smax)
φVn=φ*Av*fyt*d+φVc
φVn>Vu
;Detailing
Cc=1.5
db=1.00
ds=3/8
agsize=3/4
nbar=ceil(As/(π*db^2)*4)
fs=2/3*fy
spcmax=min(15*(40000/fs)-2.5*Cc, 12*(40000/fs))
spcmin=db+max(1,db,1.333*agsize)
spc=(bw-2*ds-2*Cc)/(nbar-1)
spcmax>spc
spc>spcmin
;Summary
B
H
As
Av
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