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2�(� asy � CALCULATIONS FOR FREESTANDING SIGNS <br /> earysealsmm <br /> � <br /> Cast-in-Place Concrete Anchor Bolts <br /> ACI 318-11,Appendix"D" <br /> Required Strength: <br /> Wind pressure: W= 24.7 psf Tributary area: A= 2.6 sqft <br /> Dead load: D= 0 lb Load eccentricity: e= 3.2 ft <br /> ASCE 7-10,2.3.2: U = (1.2)D+(1.0)W Mu = 0.34 kip-ft ..._[(1.2)D+(1.0)W]*A*e <br /> Anchor & Concrete Specs: Concrete: f'c= 2500 psi <br /> Anchor bolt size: 3/4" da = 0.75 in nt= 10 threads/in <br /> Anchor material: SAE Grade 2/A307 futa = 74 ksi <br /> Embedment: hef= 10 in Edge distance: ED= 7 in <br /> Qty anchors in group: Q= 2 anchors Anchor group offset: a = 4 in <br /> Anchor Strength: Steel: (0s= 0.75 <br /> Tension: U < 0.75 4 Nn Conc, no suppl reinf: (�c= 0.70 <br /> Steel Strength: <br /> Ase= n/4*(da-0.9743/nt)Z Nsa = Ase*futa <br /> Ase= 0.33 in' Nsa = 24.8 kips 4)s*Nsa= 18.6 kips <br /> Concrete Breakout: <br /> Anc= [ED+s+1.5*hef]*[ED+1.5*heft Anco= 9*hef^2 <br /> Anc= 484 in' Anco= 900 in <br /> Nb= kc*X*Vf'c*hef^1.5 Cracked Concrete: Luc= 1.0 <br /> Nb= 37.9 kips Cast-in anchors: LUcp= 1.0 <br /> Limit,=15*A*Vfc*hefA(5/3) = 37.1 kips LPed =0.7+0.3*ED/(1.5*hef) LPed = 0.84 <br /> kc= 24 ...cast-in anchors No eccentricity between anchors: 4Jec= 1.0 <br /> X= 1.0 ...normal weight concrete <br /> Concrete breakout strength: Ncb= (Anc/Anco)*LPc*LPcp*LPed*LPec*Nb <br /> Ncb= 17.1 kips 4)c*Ncb= 12.0 kips <br /> Concrete Pullout: <br /> Headed Stud/ Bolt: Head diameter: dh = 1 in <br /> Np= 8*Abrg*f'c Abrg= 0.8 in <br /> Np= 15.7 kips Cracked Concrete: LPC,p= 1.0 <br /> Concrete pullout strength: Npn = LPc.p*Np <br /> Npn = 15.7 kips 4)c*Npn= 11.0 kips <br /> _ Concrete Blowout: _ <br /> Headed Stud/ Bolt: Nsb= 160*ED*dAbrg*X*Uf'c <br /> Concrete blowout strength: Nsb= 49.6 kips 40c*Nsb= 34.7 kips <br /> Critical Anchor Strength: <br /> (�Nn = min((Os*Nsa,(�c*Ncb,4)c*Npn,(�c*Nsb) 4Nn= 11.0 kips <br /> 4)Mn = Q*4)Nn*a <br /> Wn= 7.3 kip-ft Mu _< 0.75 4 Mn 0.34 kip-ft < 5.5 kip-ft OK <br /> Page 5 <br />