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1 <br /> I <br /> RECU' ED <br /> JAN 0 0 ZU17 Vickery Engineering& Consulting,LLC <br /> � <br /> RpNO 1444 1 Village W00'A"Drive,r,4en Frame,MN 5 5 347-1 509 <br /> C11 '/O�O Pkone: 952-40"5-8272 rax: 952-42r-1971 <br /> ,a rvickeryovicke rye ng.com <br /> Boulder Wall Calculations - 3-foot Total Wall Height <br /> Project VEC 17-003 - January 8, 2017 copyWillow Hill Guest Residence, Orono, MN <br /> 9110110 <br /> Desian Parameters: Page 1 of 2 <br /> Retained Soil Friction Angle, Osr:= 28deg Soil Unit Weight, -Ys:= 125pcf Crest Slope, 0:= Odeg <br /> Foundation Soil Friction Angle, osf:= 28deg lbf <br /> Surcharge Load, qs := 0— <br /> 61 := 3.Osr 81 = 18.667-deg Rock Unit Weight, -yr:= 150pcf ft <br /> Exposed Height, He := 2ft Wall Embedment, Hb := lft Total Height, Hr:= He + Hb <br /> Hr= 3ft <br /> Top of Wall Width, Wt := lft Base of Wall Width, Wba := 2ft <br /> a:= 83deg := 90deg – ot = 7-deg v = tan(osf) u = 0.532 <br /> Calculate Wall Weiaht: <br /> W1 := .5•(Wba – Wt)•He.-yr•lft W1 = 1501bf W2 := Wt.He.-yr•Ift W2 = 3001bf <br /> W3 := Hb•Wba•-ys•1 ft W3 = 2501bf Ww:= WI + W2 + W3 Ww= 7001bf <br /> Active Earth Pressue Coefficient(Ka): <br /> (cos(osr+ *)) <br /> 2 <br /> Ka:= <br /> 2 Ka= 0.274 <br /> (cosO)2 (cos(bl - )) �1 + [(sin(q)sr+ 61)).(sin(osr- (3))] <br /> [(cos(81 — *))-(cos( — a))] J <br /> Total Horizontal Force: Vt <br /> Horizontal Force From Soil, Fah:= .5•-ys•Ka•Hr•Hr•cos(61 – *)•lft Fah= 1511bf <br /> Horizontal Force From Surcharge, Fs:= gs•Ka•Hr•lft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+ Fs Fh= 151 lbf 2 Hr <br /> Frictional Resistance: <br /> Vertical Force From Soil, Fav:= .5•-ys•Ka•Hr•Hr•sin(61 – *)•lft Fav= 31.2 IV 1 <br /> Fu:= v-(Ww+ Fav) Fu= 388.81bf <br /> Factor of Safety, Base Slidina: <br /> 3 Hb <br /> FOS Sliding, FOSs:= Fu FOSs= 2.574 <br /> Fh wb <br /> —E17Sineerin�so1utions)loran unsta61e World <br />