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BEAM ANALYSIS 1 <br />Determine allowable bending moment per AISI <br />Check compression flange for local buckling (B2.1) <br />Effective width w = C - 2t - 2r = 1.75 - (2 . 0.059) - (2 . 0.09) = 1.45 in. <br />w/t = 1.452 / 0.059 = 24.61 <br />l = (1.052 / k1/2) . (w/t) . (Fy / E)1/2 = (1.052 / 2) . 24.61 . (55 / 29500)1/2 = 0.56 <br />l <= 0.673: Flange is fully effective. <br />Check web for local buckling (B2.3) <br />f1(comp) = Fy <br /> . (y3 / y2) = 55 * 1.98 / 2.13 = 51.15 ksi <br />f2(tension) = Fy <br /> . (y1 / y2) = 55 * 1.72 / 2.13 = 44.52 ksi <br />Y = - (f2 / f1) = -(44.52 / 51.15) = -0.87 <br />Buckling coefficient k = 4 + 2 . (1 - Y)3 + 2 . (1 - Y) <br />= 4 + 2(1 - -0.87)3 + 2(1 - -0.87) = 20.83 <br />Flat Depth w = y1 + y3 = 1.72 + 1.98 = 3.702 <br />w/t = 3.702/0.059 = 62.75 w/t < 200: OK <br />l = (1.052 / k1/2) . (w/t) . (f1 / E)1/2 = (1.052 / 2) . 62.746 . (51.15 / 29500)1/2 = 0.6 <br />b1 = w . (3 - Y) = 4 . (3 - -0.87) = 14.33 <br />b2 = w/2 = 1.85 <br />b1 + b2 = 14.33 + 14.33 = 16.18 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) . (0.09 + 0.059 / 2) = 0.188 <br />Lf = effective width = 1.452 <br />C = 2 . Lc / Lf + 2 . Lc = 2 . 0.188 / 1.452 + 2 . Lc = 0.2054 <br />m = 0.192 . (Fu / Fy) - 0.068 = 0.192 . (65 / 55) - 0.068 = 0.1589 <br />Bc = 3.69 . (Fu / Fy) - 0.819 . (Fu / Fy)2 - 1.79 <br /> = 3.69 . (65 / 55) - 0.819 . (65 / 55)2 - 1.79 = 1.43 <br />Fu/Fy = 65 / 55 = 1 < 1.2 <br />r/t = 0.09 / 0.059 = 1.525 <= 7 = OK <br />Fyc = Bc <br /> . Fy / (r / t)m = 1.43 . 55 / (1.525)m = 73 <br />Fya-top = C . Fyc + (1 - C) . Fy = 0.205 . 73 + (1 - 0.205) . 55 = 59 <br />Fya-bottom = Fya-top <br /> . Ycg / (A - Ycg) = 59 . 1.87 / (4.0 - 1.87) = 52 <br />4.00 x 2.75 -0.059 <br />Top flange width C =1.75 in. <br />Bottom width B =2.75 in. <br />Web depth A =4.0 in. <br />Beam thickness t =0.059 in. <br />Radius r =0.09 in. <br />Fy =55 <br />Fu =65 <br />Y1 =1.72 <br />Y2 =2.13 <br />Y3 =1.98 <br />Ycg =1.87 <br />Ix =1.55 <br />Sx =0.78 <br />E =29500 <br />FBeam F =360 <br />Beam Length L =96 <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 />15 <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