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COLUMN ANALYSIS: Bay 1 - 120" (Option 1) ( Level 1 ) <br />Analyzed per RMI, AISI 2012 (LRFD) and the CBC2022. <br />Section subject to torsional or flexural-torsion buckling (Section C4.1.2) <br />Kx <br /> . Lx / Rx = 1.7 . 10 / 1.644 = 10.34 <br />Ky <br /> . Ly / Ry = 1 . 6 / 1.102 = 5.45 <br />KL/Rmax = 10.34 <br />ro =(rx <br />2 + ry <br />2 + Xo <br />2)1/2 (Eq. C3.1.2.1- <br />7) <br />= (1.6442 + 1.1022 + -2.6092)1/2 = 3.275 in. <br />b = 1 - (Xo/ro)2 (Eq C4.1.2-3) <br />= 1 - (-2.609/3.275)2 = 0.365 <br />Fe1 = P2E / (KL/r)max <br />2 (Eq C4.1.1-1) <br />= 3.142 . 29500 / 10.342 = 2721.88 ksi <br />Fe2 =(1 / 2b)((sex + st) - (sex + st)2 - (4bsexst))1/2)(Eq C4.1.2-1) <br />= (1 / (2 . 0.365)((2721.88 + 5308.835) - (2721.88 + 5308.835)2 <br />- (4 . 0.365 . 2721.88 . 5308.835))1/2)= 1977.062 ksi <br />where: <br />sex =P2E / (KxLx / Rx)2 (Eq C3.1.2-11) <br />= 3.142 . 29500 / 10.342 = 2721.88 ksi <br />st =1 / Aro <br />2(GJ + (P2ECw) / (KtLt)2)(Eq C3.1.2-9) <br />= 1 / 1.283 . 3.2752(11300 . 0.006 <br />+ (3.142 . 29500 . 5.775) / (0.8 . 6)2) = 5308.835 ksi <br />Fe = Min(Fe1, Fe2) =1977.062 ksi <br />Pn = Aeff <br /> . Fn (Eq C4.1-1) <br />lc = (Fy / Fe)1/2 = (55 / 1977.062)1/2 = 0.167 (Eq C4.1-4) <br />Since lc < 1.5: <br />Fn = (0.658^(lc <br />2)) . Fy = 54.363 (Eq C4.1-2) <br />Thus: <br />Pn = 56429 lbs <br />Pa = 47964 lbs <br />4 x 3 -0.120 <br />SECTION PROPERTIES <br />Depth 3 in. <br />Width 4 in. <br />t 0.12 in. <br />Radius 0.125 in. <br />Area 1.283 in.2 <br />AreaNet 1.038 in.2 <br />Ix 3.467 in.4 <br />Sx 1.733 in.3 <br />Sx Net 1.433 in.3 <br />Rx 1.644 in. <br />Iy 1.558 in.4 <br />Sy 0.847 in.3 <br />Ry 1.102 in. <br />J 0.006 in.4 <br />Cw 5.775 in.6 <br />Jx 3.146 in. <br />Xo -2.609 in. <br />Kx 1.7 <br />Lx 10 in. <br />Ky 1 <br />Ly 6 in. <br />Kt 0.8 <br />Fy 55 ksi <br />Fu 65 ksi <br />Q 1 <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 />Behr Process Corp <br />Interlake-Mecalux_Gabr <br />1995 S Standard Av <br />Santa Ana, CA <br />11 <br />kelvira <br />4/11/2024 <br /> TEL:(909)869-0989 <br /> 1130 E. CYPRESS ST, COVINA, CA 91724 <br />PN:20240411_15