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COLUMN ANALYSIS: Bay 1 - 120" (Option 1) ( Level 1 ) <br />Analyzed per RMI, AISI 2012 (LRFD) and the CBC2022. <br />Lateral-torsional buckling strength [Resistance] (Section C3.1.2) <br />Pao = Pnofc = 48526 lbs <br />Where: <br />Pno = AeFy = 1.038 . 55 = 57090 lbs <br />Mc = Mn = ScFc = SminFc (Eq C3.1.2.1-1) <br />Fe =CbroA(seyst)1/2 / Sf = 9215.153 ksi <br />Fe = CsAsex(j + Cs(j2 + ro <br />2(se / sex))1/2) / (CTFSf) = 4845.764 ksi (Eq 3.1.2.1-4) <br />Fe = (CbP2EdIyc) / (Sf(KyLy)2 = 21801.925 ksi (Eq 3.1.2.1-10) <br />Fe.min = 4845.764 ksi <br />Since: Fe ≥ 2.78Fy <br />Fc = (Se / Sc) <br />i.e. Fe = Fy = 55 ksi (Eq C3.1.1-3) <br />Reduced Fc,eff = 1 - ((1 - Q) / 2) . (Fc / Fy)Q . Fc = 55 ksi <br /> Mnx = 78837 in-lbs Mny = 46607 in-lbs Mc = Mn,min <br />Mnxfb = 70953 in-lbs Mnyfb = 41946 in-lbs <br />PEx = P2 EIx / (KxLx)2 = 3492429 lbs (Eq C5.2.2-6) <br />PEy = P2 EIy / (KyLy)2 = 12596425 lbs (Eq C5.2.2-7) <br />a x = (1 - (fcP / Pex)) = 0.996 (Eq C5.2.2-4) <br />a y = (1 - (fcP / Pey)) = 0.999 (Eq C5.2.2-5) <br />Ptrans = 45,770 lbs Plong = 15,163 lbs <br />Mu = Mx = 6440 in-lbs (Eq C5.2.2-2) <br />Pu_st = (1.2 . D) + (1.4 . P) = 21360 lbs <br />Pu_st / Pa = 21360 / 47964 = 0.48 Static Stress = 48% <br />Since:Pl / Pa ≥ 0.15 <br />Stress1 = Pl / Pa + Mx / (fbMnx) + My / (fbMny)(Eq C5.2.2-2) <br />= ((15,163 / 47964) + (6440 / 70953) + (1 / 41946)) = 40% <br />Stress2 = Pl / Pao + CmxMx / (fbMnxax) + CmyMy / (fbMnyay)(Eq C5.2.2-1) <br />= (15,163 / 48526) + (0.85 . 6440 / 70953 . 0.996)) + (0.85 . 1 / 41946 . 0.999))) = 38% <br />Stress3 Pt / Pao = 45,770 / 48526 =94% <br />Column Stress = Max(Stress1, Stress2, Stress3, Static) = 94% <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 />12 <br />kelvira <br />4/11/2024 <br /> TEL:(909)869-0989 <br /> 1130 E. CYPRESS ST, COVINA, CA 91724 <br />PN:20240411_15