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�/ic�Ccrc,j �ngineerin�Fy Consultin�, LLC <br /> 19-49�I Ui��.�t-e��'�uoc�>�7r�ve.�_�i�n�'r:anie.MI V 55i9;'-I Sp4 <br /> , e�nc�nc • ,�-•}.�,s_d?'L j��nx: }'SL4Zc-I}�,'I <br /> rvic�rri�e v�c�.:eryenK.com <br /> Boulder Wall Calculations - 4.5-Foot Total Wall Height(South Wall) <br /> Project VEC 14-003A - August 5, 2014 <br /> 1161 Elmwood Avenue, Orono, MN <br /> Page 1 of 2 <br /> Desiqn Parameters: <br /> Retained Soil Friction Angle, �sr:= 28deg Soil Unit Weight, �ys:= 130pcf Crest Slope, p:= 18.4deg <br /> Foundation Soil FrictionAngle, �sf:= 28deg <br /> S1 :_ �•�sr SI = 18.667•deg Rock Unit Weight, �yr:= 135pcf Surcharge Load, qs := Opsf <br /> 3 <br /> Exposed Height, He:= 4ft Wall Embedm ent, Hb:= lft Total Height, Hr:= He+ Hb <br /> Hr = Sft <br /> Top of Wall Width, Wt:= I.Sft Base of Wall Width, Wba := 3ft <br /> a:= 83deg �:= 90deg— a �= 7•deg v = tan(�sf) v = 0.532 <br /> Calculate Wall Weiqht: <br /> W1 :_ .5•(Wba— Wt)•He•�yr•lft W1 = 4051bf W2 := Wt�He•7r•lft W2= 8101bf <br /> W3 := Hb•Wba•^ys•1 ft W3 = 390 lbf Ww:= W 1 + W2 + W3 Ww= 1605 lbf <br /> Active Earth Pressue Coefficient(Ka): <br /> (cos(�sr+ �)) <br /> 2 <br /> Ka:_ <br /> 2 Ka= 0.37 <br /> (cos(�))��(cos(S1 — �))��1 + �(sin(�sr+ SI))�(sin(�sr — �))] <br /> [(cos(S1 — �))•(cos(-�— R))] <br /> Total Horizontal Force: Wt <br /> HOrizontal ForCe From Soil, Fah:= .5�^�s•Ka•Hr•Hr�cos(bl —�)•Ift Fah= 589.S1bf <br /> Horizontal Force From Surcharge, Fs:= qs•Ka•Hr•lft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+ Fs Fh= 589.5 lbf <br /> 2 H. <br /> Frictional Resistance: <br /> Vertical ForCe From Soil, Fav:= .5•^ys•Ka•Hr�Hrsin(S1 —�)•lft Fav= 121.71bf 1 <br /> Fu:= v•(Ww+ Fav) Fu= 9l 8.l lbf <br /> Factor of Safetv. Base Slidinq: <br /> 3 Hb <br /> FOS Sliding, FOSs:= Fu FOSs= 1.558 <br /> Fh Wb <br /> —�n�ineerin��jo�utions�oran unsta6�e wo�/c� <br />