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Location: <br />Project #:Engineer:LMC/PVB <br />Project:Villa del Sur Apts - Voluntary seismic retrofit Date:10/12/2024 <br />NEW - Two Cantilevered Columns with Grade Beam <br />Building H <br />241285 <br />2701 Mc FADEN AVE, SANTA ANA, CA 92704 <br />ρ_prov =0.0033 OK ρ_min = 0.0033 or provide 4/3 As_analysis <br />Ig = 34560 in4 <br />Icr = 12096 in4 (0.35 Ig) ACI318 -Table 6.6.3.1.1(a) <br />fr = 411 psi <br />Ec = 3122019 psi 3122 ksi <br />Es=29000000 psi <br />ytop (N.A.)= 12 in (Before cracking - rectangular grade beam only!) <br />Mcr =1183 kip-in <br />n=Es/Ec 9.29 <br />ytop (N.A.)= 4.40 (After cracking - rectangular grade beam only!) <br />Icr= 7989 in4 Using Transformed Area Method <br />Icr=Ie used =12096 in4 Ie must to be less than Ig <br />Grade Beam Rotation <br />Θ =0.000801 radian <br />0.04588 degrees <br />Drift at Top of Cant. Column from Grade Beam Rotation <br />Δ =0.0865 inches (delta at top of cant. column due to rotation of GR BM <br />CdΔGB =0.2162 inches <br />Grade Beam Flexure and Shear Capacity <br />a =1.57 in (compression block depth) <br />ΦMn =2075.3 kip-in OK Mmax=Mu for comparison <br />Vu =25.2 kips <br />Vc = 65.7 kips <br />d/4 = 5 in <br />Av = 0.22 in2 (#3 stirrups typical) <br />Vs =52.80 kips <br />ΦVn =71.1 kips OK (Φ = 0.6, ACI 318-19 section 21.2.4) <br />(Θ = Mu L/(6 E Ie): rotation of grade beam due <br />to moment) <br />(Cd times delta at top of cant. COL. due to rotation of GR BM <br />Page 12 <br />2701 W McFadden Ave <br />#F-I2/6/2025