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Engineering Analytics, Inc. <br />CLIENT: MGC JOB NO. 110617 PAGE: 1 of 1 <br />PROJECT: Spillway Drop Structure DATE: 11/30/2015 DATE CHECKED: 12/23/2015 <br />DETAIL: Seismic vs. Construction Shear COMPUTED BY: LCB CHECKED BY: LLM <br />Given: Retained Wall Height, H:=15 ft <br />Construction Load Height, Hest`=2 ft <br />Unit Weight of Soil, 'y:=130 lbs/ft3 <br />Stress Ratio, at rest, K,:=0.5 <br />Stress Ratio, Active KA := 0.27 <br />Stress Ratio, Earthquake, KAE:=0.75 <br />Strength Reduction Factor, 0:=0.75 <br />Compressive Strength of Concrete, f'c:=4500 psi <br />Earth Loading Factor of Safety, FSEarth:=1.6 <br />Live Loading Factor of Safety, FSLL:=1.6 <br />Earthquake Loading Factor of Safety FSEQ :=1.0 <br />Find: A concrete thickness that will not require stirrups <br />Solution: <br />Calculate the maximum Shear Load on the Base of the Wall <br />Vsoilatrest := 0.5 Ko • 7 • HZ = 7.313.10 3 lbs <br />ft <br />Vsoilaetive°=0.5 KA•'y•HZ =3.949.103 lbs <br />ft <br />V K • H H=1.95.103 lbs <br />const := o 'y • const ' ft <br />VEQ:=0.5 KA•KAE•y•H2 =2.962.103 lbs <br />ft <br />V..t:= := FSEarth ' V soilatrest + FSLL ' V const =1.482 .10 4 lbs <br />ft <br />V.EQ := FSEarth ' Vsoilactive + FSEQ • VEQ = 9.28 .10 3 lbs <br />ft <br />Since VuEQ < Vuconst use Vuconst for Shear <br />d:= 15 inches <br />ov":=2.0-12•d•Vf—c=1.811.104 lbs <br />ft <br />