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BRACE ANALYSIS 1 (Panel 5) <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 = 0 . 69 / 0.736 = 93.74 <br />Ky <br /> . Ly / Ry = 1 . 69 / 1.003 = 153.95 <br />KL/Rmax = 153.95 <br />ro =(rx <br />2 + ry <br />2 + Xo <br />2)1/2 (Eq. C3.1.2.1- <br />7) <br />= (0.7362 + 1.0032 + -0.9952)1/2 = 1.317 in. <br />b = 1 - (Xo/ro)2 (Eq C4.1.2-3) <br />= 1 - (-0.995/1.317)2 = 0.428 <br />Fe1 = P2E / (KL/r)max <br />2 (Eq C4.1.1-1) <br />= 3.142 . 29500 / 153.952 = 12.285 ksi <br />Fe2 =(1 / 2b)((sex + st) - (sex + st)2 - (4bsexst))1/2)(Eq C4.1.2-1) <br />= (1 / (2 . 0.428)((33.136 + 11.1) - (33.136 + 11.1)2 <br />- (4 . 0.428 . 33.136 . 11.1))1/2)= 9.121 ksi <br />where: <br />sex =P2E / (KxLx / Rx)2 (Eq C3.1.2-11) <br />= 3.142 . 29500 / 93.742 = 33.136 ksi <br />st =1 / Aro <br />2(GJ + (P2ECw) / (KtLt)2)(Eq C3.1.2-9) <br />= 1 / 0.513 . 1.3172(11300 . 0.001 <br />+ (3.142 . 29500 . 0.051) / (0.8 . 69)2) = 11.1 ksi <br />Fe = Min(Fe1, Fe2) =9.121 ksi <br />Pn = Aeff <br /> . Fn (Eq C4.1-1) <br />lc = (Fy / Fe)1/2 = (50 / 9.121)1/2 = 2.341 (Eq C4.1-4) <br />Since lc ≥ 1.5: <br />Fn = (0.877 / lc <br />2) . Fy = 7.999 (Eq C4.1-3) <br />Thus: <br />Pn = 2052 lbs <br />Pa = 1744 lbs <br />1.7953 x 1.378 - .0625 (dbl) <br />SECTION PROPERTIES <br />Depth 3.591 in. <br />Width 1.378 in. <br />t 0.06 in. <br />Radius 0.118 in. <br />Area 0.513 in.2 <br />AreaNet 0.513 in.2 <br />Ix 0.278 in.4 <br />Sx 0.312 in.3 <br />Sx Net 0.312 in.3 <br />Rx 0.736 in. <br />Iy 0.517 in.4 <br />Sy 0.284 in.3 <br />Ry 1.003 in. <br />J 0.001 in.4 <br />Cw 0.051 in.6 <br />Jx 0.733 in. <br />Xo -0.995 in. <br />Kx 0 <br />Lx 69 in. <br />Ky 1 <br />Ly 69 in. <br />Kt 0.8 <br />Fy 50 ksi <br />Fu 60 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 />Pace Supply <br />The Beacon Group_Kevin <br />3421 W. Segerstro <br />Santa Ana, CA <br />19 <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