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Engineering Analytics, Inc. <br />—/ N <br />CLIENT: MGC JOB NO: 110617 PAGE: 2 of 2 <br />PROJECT: Spillway Drop Structure DATE: 11/30/2015 DATE CHECKED: 12/23/2015 <br />DETAIL: Water vs. Construction Moment COMPUTED BY: LCB CHECKED BY: LLM <br />Given: Retained Wall Height, H:=15 ft <br />Construction Load Height, Hconst:=2 ft <br />Water Level, w:= 15 ft <br />Unit Weight of Soil, y:=130 lbs/ft3 <br />Unit Weight of Water, yv :=62.4 Ibs/ft3 <br />Stress Ratio, at rest, Ko := 0.5 <br />Compressive Strength of Concrete, f'e:=4500 psi <br />Earth Loading Factor of Safety, FSEarth •=1.6 <br />Live Loading Factor of Safety, FSLL:=1.6 <br />Water Loading Factor of Safety, FSw:=1.1 <br />Find: If Constuction loading or ground water controls design; lower FS for extreme <br />water loads <br />Solution: <br />Calculate bouyant unit weight <br />— 67.6 lbs <br />7'b:='Y—'Yw— 3 <br />ft <br />Calculate the maximum Moment at the Base of the Wall <br />2 2 3 <br />MGA,:=Ka.y.(H 2w) (H—w). 2 j+Ko•-Yb- 6 <br />MGw=1.901.104 ft. lbs <br />\\ J ` J <br />ft <br />Mwater :_ .5 • yw • w2 • w = 3.51.104 ft ,lbs <br />3 ft <br />Mconst:=Ko•�Y•Hconst'H• H =1.463.104 ft. lbs <br />2 ft <br />lbs <br />Msoilatrest :_ • 5 • Ka • y • HZ • 3 = 3.656.104 ft. <br />ft <br />Muconst := FSEarth • Msoilatrest + FSLL • Mco.t = 8.19. 104 ft , lbs <br />ft <br />Muwater := FSEarth • MGW +FSw . Mwater = 6.903.104 f t • f ss <br />t <br />