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BEAM ANALYSIS 1 <br />Check Allowable Tension Stress for Bottom Flange <br />Lflange-bot = B - (2 . r) - (2 . t) = 2.75 - (2 . 0.09) - (2 . 0.059) = 2.45 <br />Cbottom = 2 . Lc / (Lflange-bot + 2 . Lc) = 2 . 0.188 / (2.45 + 2 . 0.188) = 0.133 <br />Fy-bottom = Cbottom <br /> . Fyc + (1 - Cbottom) . Fy = 0.133 . 73 + (1 - 0.133) . 55 = 57.44 <br />Fya = Fya-top = 58.78 ksi <br />Determine Allowable Capacity For Beam Pair (Per Section 5.2 of the RMI, PT II) <br />Check Bending Capacity <br />MCenter = f . Mn = W . L . W . Rm / 8 <br />W = LRFD Load Factor = (1.2 . DL + 1.4 . PL + 1.4 . 0.125 . PL) / PL <br />For DL = 2% of PL: <br />W = 1.2 . 0.02 + 1.4 + 1.4 . 0.125 = 1.6 <br />Rm = 1 - ((2 . F . L) / (6 . E . Ix + 3 . F . L)) <br /> = 1 - ((2 . 360 . 96) / (6 . 29500 . 1.55 + 3 . 360 . 96)) = 0.82 <br />f . Mn = f . Fya <br /> . Sx = 43.5 in-kip <br />W = f . Mn <br /> . 8 . (# of Beams) / (L . Rm <br /> . W) = (43.5 . 8 . 2) / (96 . 0.82 . 1.6) <br /> = 5548 lbs/pair <br />Check Deflection Capacity <br />Dmax = Dss <br /> . Rd <br />Dmax = L / 180 <br />Rd = 1 - (4 . F . L) / (5 . F . L + 10 . E . Ix) <br /> = 1 - (4 . 360 . 96) / (5 . 360 . 96 + 10 . 29500 . 1.55) = 0.78 <br />Dss = (5 . W . L3) / (384 . E . Ix) <br />L / 180 = (5 . W . L3 . Rd) / (384 . E . Ix <br /> . (# of Beams)) <br />W = (384 . E . Ix <br /> . 2) / (180 . 5 . L2 . Rd) <br /> = (384 . 29500 . 1.55 . 2) / (180 . 5 . 962 . 0.78) . 1000 = 5430 lbs/pair <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 />16 <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