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CALCULATION SHEET <br />SUBJECT:DATE:JOB NO: <br />BY:SHEET: <br />C:\Users\sfigueria\Documents\Blank Calc Sht1 <br />3900 E. Cover Street, Long Beach, CA 90808 562.985.3200 P 562.985.1011 F www.mhpse.com <br />Illumination Foundation 23-0221-00 <br />Trash Enclosure - Footing <br />Feb-2025 <br />EG <br />Footing Design <br />Use: 3'-0" wide x 14" deep footing w/ #4 @ 16" OC T&B reinforcing <br />L = 16" <br />W = 3'-0" <br />H = 14" <br />d = H - 3" = 11" <br />h = 7' <br />W_wall = 125pcf(8"/12)(16")(7') = 778 lb <br />W_footing = 150pcf(3'-0")(16")(14"/12) = 700 lb <br />Pu = W_wall + W_footing = 1478 lb <br />qallow = 1500 psf <br />f'c = 3 ksi <br />fy = 60 ksi <br />As = 0.20 in2 <br />Lateral Load Design (ASD) - 0.9D+0.7E <br />Moverturning = Vu*(h/2) = (329lb)(7')/2 = 1152 lb-ft <br />e = 0.7Moverturning/0.9Pu = 0.7(1152lb-ft)/(0.9*1478lb) = 0.61 ft <br />L/6 = (3'-0")/6 = 0.50ft <br />e > L/6 <br />qmax = 2P / [3L(W/2-e)] = 2(0.9*1441lb) / [3(16"/12")(3'-0"/2 - 0.61ft)] = 744psf < 1500 psf OK <br />Mresisting = 0.9Pu(W/2) = 0.9(1478lb)(3'-0")/2 = 1995 lb-ft <br />FS = 1995lb-ft / (0.7*1152b-ft) = 2.5 > 1.1 OK <br />Soil Bearing Design (LRFD) - 1.2D+1.0E <br />e < L/6 <br />e = Moverturning/1.2Pu = (1152lb-ft)/(1.2*1441lb) = 0.65 ft <br />x = 3(W/2-e) = 3(3'-0"/2 - 0.65ft) = 2.55ft <br />qmax = 2P / Lx = 2(1.2*1441lb) / [(16"/12")(2.55ft)] = 1043 psf < 1500 psf OK <br />Slope = qmax/x = 1042psf/2.55ft = 409 pcf <br />Lcant = (L-twall)/2 = (3'-0" - 8")/2 = 1.17ft <br />qcant = qmax - slope*Lcant = 1043psf - (409pcf)(1.17ft) = 566 psf <br />Presultant = (qmax+qcant)(Lcant)/2 = (1043psf+566psf)(1.17ft)/2 = 938 plf <br />Moment arm = [(Lcant)(qcant)(Lcant/2) + (1/2)(Lcant)(qmax-qcant)(Lcant/3)] / [(Lcant)(qcant) + (1/2)(Lcant)(qmax-qcant)] = 0.53ft <br />Mu_soil = Presultant*moment arm = 938plf(16")(0.53ft) = 658 lb-ft = 0.658 k-ft <br />ΦMn = ΦAsfy(d-Asfy/2*0.85f'cb) = (0.9)(0.2in2)(60ksi)[11"-(0.2in2)(60ksi)/(2*0.85*3ksi*16in)] = 9.8 k-ft <br />DCR = 0.658/9.8 = 0.07 < 1 OK <br />Vu <br />twall <br />d <br />Lcant <br />dto <br />p <br />5.1.3 <br />W <br />H16" section <br />into page <br />x <br />h <br />qmax <br />qcant <br />Presultant <br />moment arm <br />Pu <br />914-918 N Bewley <br />St5/8/2025