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Vickery Vngineering& Consulting,LLC <br /> I q q 11 village Woods Drive,F den Prairie,MIN 555`1'7-150.9 <br /> Phone: 952-+65-8272 [-ax: 952-426-1971 <br /> Iva rvickerycavicke rye ng.com <br /> Boulder Wall Calculations - 4-foot Exposed Wall Height <br /> Project VEC 12-052 - July 13, 2012 <br /> Middleton Residence, 720 Tonkawa Road, Orono, MN <br /> Design Parameters: Page 1 of 2 <br /> Retained Soil Friction Angle, �)sr:= 28deg Soil Unit Weight, -ys:= 125pcf Crest Slope, 0:= Odeg <br /> Foundation Soil Friction Angle, �)sf:= 28deg <br /> 61 := 3•�sr 61 = 18.667-deg Rock Unit Weight, 7r:= 150pcf Surcharge Load, qs:= Opsf <br /> Exposed Height, He:= 4ft Wall Embedment, Hb:= .5ft Total Height, Hr:= He+ Hb <br /> Hr= 4.5 ft <br /> Top of Wall Width, Wt:= 1.5ft Base of Wall Width, Wba:= 2ft <br /> a:= 83deg := 90deg — a V= 7-deg u := tan((�sf) v =0.532 <br /> Calculate Wall Weiaht: <br /> WI := .5•(Wba— Wt)-He-7r-Ift W1 = 1501bf W2:= Wt.He--yr-Ift W2= 9001bf <br /> W3 := Hb•Wba•rys•1 ft W3 = 1251bf Ww:= WI + W2 + W3 Ww= 11751bf <br /> Active Earth Pressue Coefficient(Ka): <br /> (cos(�)sr+ *)) <br /> 2 <br /> Ka:_ <br /> 2 Ka= 0.274 <br /> (cos(*))2.(cos(S1 - *)).�1 + [(sin(q)sr+ 61))-(sin(q)sr- 0))] <br /> [(cos(51 — *))•(cos(-�— 0))] <br /> Total Horizontal Force: wt <br /> Horizontal Force From Soil, Fah:= .5•-ys•Ka•Hr•Hr•cos(81 —*)•lft Fah= 339.8lbf <br /> Horizontal Force From Surcharge, Fs:= gs.Ka.Hr.1 ft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+Fs Fh= 339.81bf <br /> 2 H. <br /> Frictional Resistance: <br /> Vertical Force From Soil, Fav:= .5-Is•Ka•Hr•Hr•sin(81 — *)•lft Fav= 70.2 IV 1 <br /> Fu:= v•(Ww+ Fav) Fu= 662.1 lbf <br /> Factor of Safety. Base Slidina: <br /> 3 Hb <br /> FOS Sliding, FOSs:= Fu FOSs= 1.948 <br /> Fh wb <br /> -'E".-iineeiinSsolutions Foran unstable world <br />