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Vickery Engineering& Consultin&LLC <br /> 4441 vilka'e WoocA'Drive, 'len f mine,MN 55347-1509 <br /> Fhone: 952-4'05-82,72 rax: 95Z-426-19?1 <br /> rvickeryLavickeryene�.com <br /> Boulder Wall Calculations - 5-foot Total Wall Height <br /> Project VEC 17-003 - January 8, 2017 <br /> Willow Hill Guest Residence, Orono, MN <br /> Design Parameters: <br /> Page 1 of 2 <br /> Retained Soil Friction Angle, �)sr:= 28deg Soil Unit Weight, 7s:= 125pcf Crest Slope, P:= Odeg <br /> Foundation Soil Friction Angle, (�sf:= 28deg lbf <br /> Surcharge Load, qs:= 0— <br /> 61 := 3•�sr 61 = 18.667-deg Rock Unit Weight, syr:= 150pcf 112 <br /> Exposed Height, He:= 4ft Wall Embedment, Hb := lft Total Height, Hr:= He+ Hb <br /> Hr= 5ft <br /> Top of Wall Width, Wt := lft Base of Wall Width, Wba := 2.511 <br /> a:= 83deg := 90deg — a = 7-deg u := tan(�)sf) v = 0.532 <br /> Calculate Wall Weight: <br /> W1 := .5•(Wba— Wt)•He.yr•lft W1 = 4501bf W2 := Wt-He.-yr•Ift W2 = 600 lbf <br /> W3 := Hb•Wba•-ys•1 ft W3 = 312.5 lbf Ww:= WI + W2 + W3 Ww= 1362.5 lbf <br /> Active Earth Pressue Coefficient(Ka): <br /> Ka :_ (cos((�sr+ *))2 <br /> 2 Ka = 0.274 <br /> (cos(*))2.(cos(S1 — *))-I J I + [(sin((�sr+ 61))-(sin((�sr— (3))] <br /> [(cos(81 — *)).(cos( — (3))] <br /> Total Horizontal Force: Wi <br /> Horizontal Force From Soil, Fah:= .5.7s•Ka•Hr•Hr•cos(S1 —*)•lft Fah= 419.5 lbf <br /> Horizontal Force From Surcharge, Fs:= gs.Ka-Hr-lft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+ Fs Fh= 419.51bf <br /> 2 H. <br /> Frictional Resistance: <br /> Vertical Force From Soil, Fav:= .5•-ys•Ka•Hr•Hr•sin(81 — *)•lft Fav= 86.61bf 1 <br /> Fu:= u.(Ww+ Fav) Fu= 770.51bf <br /> Factor of Safety, Base Sliding: <br /> 3 Hb <br /> FOS Sliding, FOSS:= Fu FOSS= 1.837 <br /> Fh wb <br /> �n�gineerin,gso/utions for an(-Instab/e World <br />