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`f ic�Cer�c�. �n�ineerin���,ansu�ting,�1_e <br /> -;��r ti ii.,.,���� . ,��;� � ;��n �-:�,�,�.r��tv s��, _�;��. <br /> r,<:�e: ��,� ;.,> ,��;__•, ��-��;� <br /> i.,,,.'.:e.rz�k:a�ic�.rr�,ene•.r.o;,, <br /> Boulder Wall Calculations - 7-Foot Total Wall Height (North Wall) <br /> Project VEC 14-003 - January 5, 2014 <br /> 1161 Elmwood Avenue, Orono, MN <br /> Page 1 of 2 <br /> Desiqn Parameters: <br /> Retained Soil Friction Angle, �sr:= 28deg Soil U nit Weight, -ys:= 130pcf Crest Slope, �:= Odeg <br /> Foundation Soil Friction Angle, �sf:= 28deg <br /> SI :_ ���sr S1 = 18.667•deg Rock Unit Weight, �yr:= 135pcf Surcharge Load, qs := Opsf <br /> 3 <br /> Exposed Height, He:= 6.Sft Wall Embedm ent, Hb=.5ft Total Height, Hr:= He+ Hb <br /> Hr= 7ft <br /> Top of Wall Width, Wt := 1.5ft Base of Wall Width, Wba:= 3.Sfv ' <br /> a:= 83dcg �:= 90deg — a �= 7�deg v = ta��s� v = 0.532 <br /> .". <br /> Calculate Wall Weiqht: <br /> W 1 :_ .5•(Wba— Wt)�He�yr•1 R W l = 877.5 lbf W2 :�"�Wt�He��yr�I ft W2 = 1316 x 1031bf <br /> �. <br /> W3 := Hb•Wba��ys�I ft W3 = 227.5 lbf �w:= W I + W2 + W3 Ww= 2421.31bf <br /> Active Earth Pressue Coefficient Ka : � <br /> ,� <br /> 2 �' <br /> (cos(�sr+ �)) ��"' <br /> Ka:_ <br /> 2 Ka= 0.274 <br /> (cos(�))��(cos(SI —�))��1 + «sin(�s + S1))�(sin(�sr— (�))]� <br /> [(cos 1 — '�))�(cos(—�— (3))] <br /> Total Horizontal Force: W` <br /> Horizontal Force From Soil, Fah:= •�ys•Ka•Hr•Hr•cos(bl — �)•Ift Fah= 855.21bf <br /> Horizontal Force From Surchar , Fs:= qs�Ka�Hr�Ift Fs= 0 <br /> Total Horizontal Force, Fh� Fah+ Fs Fh= 855.2 lbf <br /> 2 H. <br /> Frictional Resistance: <br /> VertiCal FOt'Ce From S Fav:= .5•�ys•Ka•HrHrsin(S1 — �)•lft Fav= 176.61bf 1 <br /> Fu:= v�(Ww+ Fav) Fu= 138131bf <br /> Factor of Safe ase Slidin : <br /> 3 Hb <br /> FOS Sliding, FOSs:= Fu FOSs= 1.615 <br /> Fh We <br /> �n�inecrin��`7n�i�tions�o�.3n j,�nsta�e �n.r�c� <br />