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1 1 <br /> Vickery engineering& Consulting,LLC <br /> 1+491 Villa*,e Wo(A,[rive, clen Fl-airie,MN 5554)-1 509 <br /> Phone: 952-4-c5-82?Z tJax: 95L-42c-19?1 <br /> .vic ke rt#?vi cke rye nvim.c.om <br /> Boulder Wall Calculations - 6-foot Total Wall Height <br /> Project VEC 17-003 - January 8, 2017 <br /> Willow Hill Guest Residence, Orono, MN <br /> Desian Parameters: Page 1 of 2 <br /> Retained Soil Friction Angle, (�sr:= 28deg Soil Unit Weight, -ys:= 125pcf Crest Slope, ( := Odeg <br /> Foundation Soil Friction Angle, qsf:= 28deg Surcharge Load, qs := 0 lbf <br /> 81 := 3•qsr 61 = 18.667-deg Rock Unit Weight, •yr:= 150pcf ft <br /> Exposed Height, He:= 5ft Wall Embedment, Hb := lft Total Height, Hr:= He+ Hb <br /> Hr= 6ft <br /> Top of Wall Width, Wt := 1.5ft Base of Wall Width, Wba := 2.5ft <br /> a:= 83deg := 90deg — ot = 7-deg u := tan((�sf) v = 0.532 <br /> Calculate Wall Weiaht: <br /> W1 :_ .5•(Wba — Wt)•He•ryr•lft W1 = 3751bf W2 := Wt-He.-yr•Ift W2 = 1.125 x 1031bf <br /> W3 := Hb•Wba•-ys•1 ft W3 = 312.5 IV Ww:= WI + W2 + W3 Ww= 1812.5 lbf <br /> Active Earth Pressue Coefficient Ma): <br /> (cos(q)sr+ *)) <br /> 2 <br /> Ka := <br /> 2 Ka= 0.274 <br /> (cos(*))2.(cos(61 - *))-[1 + S1)) (sin(�sr- p))] <br /> [(cos(81 - *))-(cos( - PM <br /> Total Horizontal Force: Wt <br /> Horizontal Force From Soil, Fah:= .5•rys•Ka•Hr•Hr•cos(81 - *)•lft Fah= 604.11bf <br /> Horizontal Force From Surcharge, Fs:= gs•Ka•Hr•lft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+ Fs Fh= 604.1 lbf <br /> 2 H. <br /> Frictional Resistance: <br /> Vertical Force From Soil, Fav:= .5•^ys•Ka•Hr•Hr•sin(61 — *)•lft Fav= 124.71bf 1 <br /> Fu:= u.(Ww+ Fav) Fu= 1030.1 lbf <br /> Factor of Safety. Base Slidina: <br /> 3 Hb <br /> FOS Sliding, FOSS:= Fu FOSS= 1.705 <br /> Fh Wb <br /> ,EnSineerinSso/utions Foran unstable World <br />