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COLUMN ANALYSIS: 4ft Wide Bay ( Level 1 ) <br />Analyzed per RMI, AISI 2012 (LRFD) and the 2022 CBC. <br />Lateral-torsional buckling strength [Resistance] (Section C3.1.2) <br />Pao = Pnofc = 30409 lbs <br />Where: <br />Pno = AeFy = 0.65 . 55 = 35775 lbs <br />Mc = Mn = ScFc = SminFc (Eq C3.1.2.1-1) <br />Fe =CbroA(seyst)1/2 / Sf = 273.91 ksi <br />Fe = CsAsex(j + Cs(j2 + ro <br />2(se / sex))1/2) / (CTFSf) = 153.479 ksi (Eq 3.1.2.1-4) <br />Fe = (CbP2EdIyc) / (Sf(KyLy)2 = 435.543 ksi (Eq 3.1.2.1-10) <br />Fe.min = 153.479 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 = 52.2 ksi <br /> Mnx = 44662 in-lbs Mny = 25849 in-lbs Mc = Mn,min <br />Mnxfb = 40196 in-lbs Mnyfb = 23264 in-lbs <br />PEx = P2 EIx / (KxLx)2 = 58108 lbs (Eq C5.2.2-6) <br />PEy = P2 EIy / (KyLy)2 = 140854 lbs (Eq C5.2.2-7) <br />a x = (1 - (fcP / Pex)) = 0.892 (Eq C5.2.2-4) <br />a y = (1 - (fcP / Pey)) = 0.955 (Eq C5.2.2-5) <br />Ptrans = 15,136 lbs Plong = 6,883 lbs <br />Mu = Mx = 11330 in-lbs (Eq C5.2.2-2) <br />Pu_st = (1.2 . D) + (1.4 . P) = 9630 lbs <br />Pu_st / Pa = 9630 / 18978 = 0.51 Static Stress = 50% <br />Since:Pl / Pa ≥ 0.15 <br />Stress1 = Pl / Pa + Mx / (fbMnx) + My / (fbMny)(Eq C5.2.2-2) <br />= ((6,883 / 18978) + (11330 / 40196) + (1 / 23264)) = 64% <br />Stress2 = Pl / Pao + CmxMx / (fbMnxax) + CmyMy / (fbMnyay)(Eq C5.2.2-1) <br />= (6,883 / 30409) + (0.85 . 11330 / 40196 . 0.892)) + (0.85 . 1 / 23264 . 0.955))) = 49% <br />Stress3 Pt / Pao = 15,136 / 30409 =49% <br />Column Stress = Max(Stress1, Stress2, Stress3, Static) = 64% <br />4 x 3 - .0787 (14Ga) <br />SECTION PROPERTIES <br />Depth 3 in. <br />Width 4 in. <br />t 0.079 in. <br />Radius 0.13 in. <br />Area 0.875 in. 2 <br />AreaNet 0.696 in. 2 <br />Ix 1.94 in. 4 <br />Sx 0.97 in. 3 <br />Sx Net 0.856 in. 3 <br />Rx 1.489 in. <br />Iy 0.937 in. 4 <br />Sy 0.495 in. 3 <br />Ry 1.034 in. <br />J 0.002 in. 4 <br />Cw 5.085 in. 6 <br />Jx 2.8 in. <br />Xo -2.579 in. <br />Kx 1.7 <br />Lx 58 in. <br />Ky 1 <br />Ly 44 in. <br />Kt 0.8 <br />Fy 55 ksi <br />Fu 70 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 />Power Distribution Inc <br />Aztec_steve peterson <br />4011 W. CARRAIGE D <br />SANTA ANA, CA <br />16 <br />kelvira <br />6/19/2024 <br /> TEL:(909)869-0989 <br /> 1130 E. CYPRESS ST, COVINA, CA 91724 <br />PN:20240103_2 <br />4011 W Carriage Dr <br />9/11/2024