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r <br /> Vickercy engineering& Consulting, ,LLC <br /> 14441 villare Woods(give,E Glen I'r:ainq MN 55 5-17-1 5o9 <br /> rkone: 952-465-8272 [ nx: ),52-4 Zb-1971 <br /> rvickeryCwickerycng.co�r <br /> Boulder Wall Calculations - 7-foot Total Wall Height <br /> Project VEC 17-003 - January 8, 2017 <br /> Willow Hill Guest Residence, Orono, MN <br /> Design Parameters: Page 1 of 2 <br /> Retained Soil Friction Angle, 4)sr:= 28deg Soil Unit Weight, 7s:= 125pcf Crest Slope, 0:= Odeg <br /> Foundation Soil Friction Angle, osf:= 28deg lbf <br /> Surcharge Load, qs := 0— <br /> 61 := 2.Osr 61 = 18.667-deg Rock Unit Weight, 7r:= 150pcf ft <br /> Exposed Height, He:= 6ft Wall Embedment, Hb := lft Total Height, Hr:= He + Hb <br /> Hr= 7ft <br /> Top of Wall Width, Wt := 2ft Base of Wall Width, Wba := 3ft <br /> a:= 83deg := 90deg — ot = 7-deg v := tan(4sf) v = 0.532 <br /> Calculate Wall Weight: <br /> WI :_ .5•(Wba— Wt)•He•7r•Ift W1 = 4501bf W2 := Wt•He.-yr•Ift W2 = 1.8 x 1031bf <br /> W3 := Hb•Wba••ys•1 ft W3 = 3751bf Ww:= WI + W2 + W3 Ww= 26251bf <br /> Active Earth Pressue Coefficient(Ka): <br /> Ka:= (cos(osr+ *))2 <br /> 2 Ka= 0.274 <br /> (cos(*))2•(cos(81 - *)).�1 + [(sin(osr+ 61))•(sin(osr- p))] <br /> 1(cos(81 — 0-(Cos(--*— (3))] <br /> Total Horizontal Force: Vt <br /> Horizontal Force From Soil, Fah:= .5.7s•Ka•Hr•Hr•cos(81 — *)•]ft Fah= 822.31bf <br /> Horizontal Force From Surcharge, Fs= gs•Ka.Hr.lft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+ Fs Fh= 822.31bf <br /> 2 H. <br /> Frictional Resistance: <br /> Vertical Force From Soil, Fav:= .5•'ys•Ka•Hr•Hr•sin(51 — *)•lft Fav= 169.81bf 1 <br /> Fu:= v•(Ww+ Fav) Fu= 14861bf <br /> Factor of Safety, Base Sliding: <br /> 3 Hb <br /> FOS Sliding, FOSS:= Fu FOSs= 1.807 <br /> Fh Wb <br /> ,Cngineering,So/utions for an ansta6/e world- <br />