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P1.23 <br />Retrofit Design <br />We will be retrofitting (E)W18x35 and (E)W18x40 <br />Moment: <br />Mu=φ x Fy x Z <br />163.104 k-ft = 0.9 x 36ksi x Z <br />Z=5.03in3 <br />Deflection: <br />Ms = WL2/8 <br />117.545k-ft = W x 28'2/8 <br />W =1.2k/ft <br />We need to find I: <br />Deflection= 5WL4/384EI = L/360 <br />5 x 1.2k/ft x1000/12 x (28x12)4 / (384 x 29,000 ksi x1000 x I) = 28' x12 /360 <br />I=613.14in4 <br />The retrofit will have a higher value of Z and I calculated, use (N)WT8x25. <br />(See next page for new combined shape properties) <br />00 <br />23-12434Saint Andrew <br />2-16-2024 <br />LR <br />P1.23 <br />1700 E St Andrew Pl - 101118387, <br />20182190, 30146952 & 40138878 <br />6/5/2024