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�/ic�Cery �ngineerin�f� �,ansu�tin�,�L� <br /> �.,:;��, t.,�� <� � a�� ��,��,�,r��; �s�.,- t,,:, <br /> �.�,�;-•.� _ , -, �>;. r; _-��� '� <br /> �.r,-�.f�r���<.��,;�;:�•«�i���,:�<,�„ <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, 7s:= 130pcf Crest Slope, (3:= Odeg <br /> Foundation Soil Friction Angle, �sf:= 28deg <br /> Sl := 3��sr S1 = 18.667•deg Rock Unit Weight, �yr:= 135pcf Surcharge Load, qs:= Opsf <br /> Exposed Height, He:= 6.Sft Wall Embedm ent, Hb:_ .Sft Total Height, Hr= He + Hb <br /> Hr = 7ft <br /> Top of Wall Width, Wc:= 1.Sft Base of Wall Width, Wba:= 3.5fr <br /> a:= 83dcg �:= 90deg— a � = 7�deg v = tan sf) v = 0.532 <br /> ,� <br /> Calculate Wall WeiQht: <br /> W 1 :_ .5�(Wba— Wt)�Hc�yr l ft W 1 = 877.5 lbf W2: t•He•�yr•l}t W2 = 1.316 x 1031bf <br /> W3 := Hb�Wba��ys�1 fl W3 = 227.5 Ibf �:= W I + W2 + W3 Ww= 2421.31bf <br /> Active Earth Pressue Coefficient(Ka): o <br /> �� <br /> Ka= (cos(�sr+ �))� <br /> Z Ka= 0.274 <br /> (cos(�))��(cos(SI — �)).�l + [(sin(�s + Sl))�(sin(�sr— p))]� <br /> [(cos � 1 — �))•(cos(�— (3))] <br /> Total Horizontal Force: wt <br /> Horizontal Force From Soil, Fah:= ��ys•Ka•Hr•Hrcos(fil — �)�lft Fah= 855.21bf <br /> Horizontal Force From Surchar , Fs:= qs�Ka�Hr lft Fs = 0 <br /> Total Horizontal Force, Fh• Fah+ Fs Fh= 855.21bf <br /> 2 H. <br /> Frictional Resistance: <br /> VertiCal FOrCe FrOm S Fav:= .5•^ys•Ka•Hr•Hr�sin(Sl — �)•lft Fav= 176.616f 1 <br /> Fu:= v�(Ww+ Fav) Fu= 1381.316f <br /> Factor of Safe ase Slidin : <br /> 3 Hb <br /> FOS Sliding, FOSs:= Fu FOSs= I.615 <br /> � wb <br /> �n�pinee�-tn��'��'e��iations�or�n��nstab�e [1�c�r�c�� <br />