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Boulder Wall Calculations - 4-Foot Total Wall Height, No Crest Slope <br />Project VEC 24-055 - April 15, 2024 <br /> 4745 North Shore Drive, Orono, Minnesota <br />Page 1 of 3 Design Parameters: <br />Retained Soil Friction Angle,ϕsr 30degSoil Unit Weight,γs 125pcfCrest Slope,β 26.6deg <br />Foundation Soil Friction Angle,ϕsf 30degSurcharge Load qs 0 <br />lbf <br />ft2 <br />δ1 2 <br />3 ϕsrδ1 20 degRock Unit Weight,γr 145pcf <br />Exposed Height,He 3ftWall Embedment,Hb 1ftTotal Height,Hr He Hb <br />Hr 4ft <br />Top of Wall Width,Wt 1.5ftBase of Wall Width,Wba 2.5ft <br />α 83degψ 90deg αψ 7 degυ tan ϕsf()υ 0.577 <br />Stone reduction friction factor μb.8Leveling Pad depth:LPd 1ft <br /> Calculate Wall Weight: <br />W1 .5 Wba Wt()Heγr1ftW1 217.5 lbfW2 Wt Heγr1ftW2 652.5 lbf <br />W3 Hb Wbaγs1ftW3 312.5 lbfWw W1 W2W3Ww 1182.5lbf <br /> Active Earth Pressue Coefficient (Ka): <br />Ka cos ϕsr ψ()()2 <br />cos ψ()()2 cos δ1 ψ()()1 sin ϕsr δ1()( ) sin ϕsr β()()[] <br />cos δ1 ψ()( ) cos ψβ()()[] <br /> <br />2 <br /> <br />Ka 0.435 <br /> Total Horizontal Force: <br />Horizontal Force From Soil,Fah .5 γsKaHrHrcos δ1 ψ()1ftFah 423.4 lbf <br />Horizontal Force From Surcharge,Fs qs KaHr1ftFs 0 <br />Total Horizontal Force,Fh Fah FsFh 423.4 lbf <br /> Frictional Resistance: <br />Vertical Force From Soil,Fav .5 γsKaHrHrsin δ1 ψ()1ftFav 97.7lbf <br />Fu υ Ww Fav()Fu 739.2 lbf <br /> Factor of Safety, Base Sliding: <br />FOS Sliding,FOSs Fu <br />FhFOSs 1.746 <br />47