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COLUMN ANALYSIS: 1 ( Level 1 ) <br />Analyzed per RMI, AISI 2012 (LRFD) and the 2022 CBC. <br />Section subject to torsional or flexural-torsion buckling (Section C4.1.2) <br />Kx <br /> . Lx / Rx = 1.7 . 46 / 1.103 = 70.92 <br />Ky <br /> . Ly / Ry = 1 . 24 / 0.945 = 25.4 <br />KL/Rmax = 70.92 <br />ro =(rx <br />2 + ry <br />2 + Xo <br />2)1/2 (Eq. C3.1.2.1- <br />7) <br />= (1.1032 + 0.9452 + -2.3482)1/2 = 2.76 in. <br />b = 1 - (Xo/ro)2 (Eq C4.1.2-3) <br />= 1 - (-2.348/2.76)2 = 0.277 <br />Fe1 = P2E / (KL/r)max <br />2 (Eq C4.1.1-1) <br />= 3.142 . 29500 / 70.922 = 57.893 ksi <br />Fe2 =(1 / 2b)((sex + st) - (sex + st)2 - (4bsexst))1/2)(Eq C4.1.2-1) <br />= (1 / (2 . 0.277)((57.893 + 202.536) - (57.893 + 202.536)2 <br />- (4 . 0.277 . 57.893 . 202.536))1/2)= 47.412 ksi <br />where: <br />sex =P2E / (KxLx / Rx)2 (Eq C3.1.2-11) <br />= 3.142 . 29500 / 70.922 = 57.893 ksi <br />st =1 / Aro <br />2(GJ + (P2ECw) / (KtLt)2)(Eq C3.1.2-9) <br />= 1 / 0.682 . 2.762(11300 . 0.001 <br />+ (3.142 . 29500 . 1.314) / (0.8 . 24)2) = 202.536 ksi <br />Fe = Min(Fe1, Fe2) =47.412 ksi <br />Pn = Aeff <br /> . Fn (Eq C4.1-1) <br />lc = (Fy / Fe)1/2 = (55 / 47.412)1/2 = 1.077 (Eq C4.1-4) <br />Since lc < 1.5: <br />Fn = (0.658^(lc <br />2)) . Fy = 33.845 (Eq C4.1-2) <br />Thus: <br />Pn = 18194 lbs <br />Pa = 15465 lbs <br />3.0 x 2.72 - .075 <br />SECTION PROPERTIES <br />Depth 2.717 in. <br />Width 3 in. <br />t 0.075 in. <br />Radius 0.14 in. <br />Area 0.682 in.2 <br />AreaNet 0.575 in.2 <br />Ix 0.829 in.4 <br />Sx 0.553 in.3 <br />Sx Net 0.504 in.3 <br />Rx 1.103 in. <br />Iy 0.609 in.4 <br />Sy 0.364 in.3 <br />Ry 0.945 in. <br />J 0.001 in.4 <br />Cw 1.314 in.6 <br />Jx 2.547 in. <br />Xo -2.348 in. <br />Kx 1.7 <br />Lx 46 in. <br />Ky 1 <br />Ly 24 in. <br />Kt 0.8 <br />Fy 55 ksi <br />Fu 65 ksi <br />Q 0.9 <br />G 11300 ksi <br />E 29500 ksi <br />Cmx 0.85 <br />Cs -1 <br />Cb 1 <br />Ctf 1 <br />Phib 0.9 <br />Phic 0.85 <br />PROJECT: <br />FOR: <br />ADDRESS: <br />SHEET#: <br />CALCULATED BY: <br />DATE: <br />Pace Supply <br />The Beacon Group_Kevin <br />3421 W. Segerstro <br />Santa Ana, CA <br />13 <br />tchang <br />6/20/2023 <br /> TEL:(909)869-0989 <br /> 1130 E. CYPRESS ST, COVINA, CA 91724 <br />PN:20230619_19 <br />3421 W Segerstrom Ave - <br />10111647610/31/2023