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BEAM ANALYSIS Typical <br />Determine allowable bending moment per AISI <br />Check compression flange for local buckling (B2.1) <br />Effective width w = C - 2t - 2r = 1.5 - (2 . 0.059) - (2 . 0.125) = 1.13 in. <br />w/t = 1.132 / 0.059 = 19.19 <br />l = (1.052 / k1/2) . (w/t) . (Fy / E)1/2 = (1.052 / 2) . 19.186 . (55 / 29500)1/2 = 0.44 <br />l <= 0.673: Flange is fully effective. <br />Check web for local buckling (B2.3) <br />f1(comp) = Fy <br /> . (y3 / y2) = 55 * 2.92 / 3.11 = 51.74 ksi <br />f2(tension) = Fy <br /> . (y1 / y2) = 55 * 2.71 / 3.11 = 47.95 ksi <br />Y = - (f2 / f1) = -(47.95 / 51.74) = -0.93 <br />Buckling coefficient k = 4 + 2 . (1 - Y)3 + 2 . (1 - Y) <br />= 4 + 2(1 - -0.93)3 + 2(1 - -0.93) = 22.16 <br />Flat Depth w = y1 + y3 = 2.71 + 2.92 = 5.632 <br />w/t = 5.632/0.059 = 95.46 w/t < 200: OK <br />l = (1.052 / k1/2) . (w/t) . (f1 / E)1/2 = (1.052 / 2) . 95.458 . (51.74 / 29500)1/2 = <br />0.89 <br />b1 = w . (3 - Y) = 6 . (3 - -0.93) = 22.12 <br />b2 = w/2 = 2.82 <br />b1 + b2 = 22.12 + 2.82 = 24.93 Web is fully effective <br />Determine effect of cold working on steel yield point (FYA) per section A7.2 <br />Corner cross-sectional area Lc = (P / 2) . (r + t / 2) <br /> = (P / 2) . (0.125 + 0.059 / 2) = 0.243 <br />Lf = effective width = 1.132 <br />C = 2 . Lc / Lf + 2 . Lc = 2 . 0.243 / 1.132 + 2 . Lc = 0.3001 <br />m = 0.192 . (Fu / Fy) - 0.068 = 0.192 . (70 / 55) - 0.068 = 0.1764 <br />Bc = 3.69 . (Fu / Fy) - 0.819 . (Fu / Fy)2 - 1.79 <br /> = 3.69 . (70 / 55) - 0.819 . (70 / 55)2 - 1.79 = 1.58 <br />Fu/Fy = 70 / 55 = 1 >= 1.2 = OK <br />r/t = 0.125 / 0.059 = 2.119 <= 7 = OK <br />Fyc = Bc <br /> . Fy / (r / t)m = 1.58 . 55 / (2.119)m = 76 <br />Fya-top = C . Fyc + (1 - C) . Fy = 0.3 . 76 + (1 - 0.3) . 55 = 61 <br />Fya-bottom = Fya-top <br /> . Ycg / (A - Ycg) = 61 . 2.89 / (6.0 - 2.89) = 57 <br />6 x 2.5 - .0590 (16Ga) <br />Top flange width C =1.5 in. <br />Bottom width B =2.5 in. <br />Web depth A =6.0 in. <br />Beam thickness t =0.059 in. <br />Radius r =0.125 in. <br />Fy =55 <br />Fu =70 <br />Y1 =2.71 <br />Y2 =3.11 <br />Y3 =2.92 <br />Ycg =2.89 <br />Ix =4.03 <br />Sx =1.3 <br />E =29500 <br />FBeam F =400 <br />Beam Length L =96 <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 />22 <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