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Structural <br />Engineering & Design Inc. <br />CITY OF SANTA ANA <br />Planning and Building Agency <br />Approved <br />FOR PERMIT ISSUANCE <br />By: Bob S Project: Airborne Systems Master ject #: 25-0221-14 <br />BEAM I vdLe. <br />Configuration; Type A Selective RacK <br />Section <br />Beam= HMH 41160/4,125" Face x 0.057" thk <br />Ix=lb= 1.617 in^4 2.75 in <br />Sx= 0.740 inA3 <br />t= 0.057 in E= 29500 ksi 1.75 in <br />Fy=Fyv= 55 ksi F= 300.0 <br />Fu=Fuv= 65 ksi L= 96 in <br />Fya= 58.5 ksi Beam Level= 1 <br />P=Product Load= 4,000 lb/pair <br />D=Dead Load= 40 lb/pair <br />1. Check Bending Stress Allowable Loads <br />Mcenter=F*Mn= W*L*W*Rm/8 <br />W=LRFD Load Factor= 1.2*D + 1.4*P+1.4*(0.125)*P RAMZ2, item 8 <br />FOR DL=2% of PL, <br />W= 1.599 <br />Rm= 1 - [(2*F*L)/(6*E*Ib + 3*F*L)] <br />1 - (2*300*96 in)/[(6*29500 ksi*1.617 in^3)+(3*300*96 in)] <br />= 0.845 <br />if F= 0.95 <br />Then F*Mn=F*Fya*Sx= 41.14 in-k <br />Thus, allowable load <br />per beam pair=W= F*Mn*8*(# of beams)/(L*Rm*W) <br />= 41.14 in-k * 8 * 2/(96in * 0.845 * 1.599) <br />= 5,075 lb/pair allowable load based on bending stress <br />Mend= W*L*(i-Rm)/8 <br />= (5075 lb/2) * 96 in * (1-0.845)/8 <br />= 4,720 in -lb @ 5075 lb max allowable load <br />= 3,720 in -lb @ 4000 lb imposed product load <br />2. Check Deflection Stress Allowable Loads <br />4.125 In <br />0.057 in <br />1111111111111111111111111111 11 I111IIIIl II III <br />----------------- <br />P.eduek <br />. . . . . . .... <br />Beam <br />-� <br />Dmax= Dss*Rd <br />Rd= 1 - (4*F*L)/(5*F*L + 10*E*Ib) Allowable Deflection= L/180 <br />= 1 - (4*300*96 In)/[(5*300*96 in)+(10*29500 ksi*1.617 inA4)] = 0.533 in <br />= 0.814 in Deflection at imposed Load= 0.420 in <br />If Dmax= L/180 Based on L1180 Deflection Criteria <br />and Dss= 5*W*LA3/(384*E*Ib) <br />L/180= 5*W*L^3*Rd/(384*E*Ib*# of beams) <br />solving for W yields, <br />W= 384*E*I*2/(180*5*L^2*Rd) <br />= 384*1.617 in^4*2/[180*5*(96 in)^2*0.814) <br />= 5,426 Ib/pair allowable load based on deflection limits <br />Thus, based on the least capacity of item 1 and 2 above: Allowable load= 5,075 Ib/pair <br />Imposed Product Load= 4,000 lb/pair <br />Beam Stress= 0.79 Beam atLevel 1 <br />