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�/ic�Cerc� �n�ineerin�� �onsult��g,LLC <br /> �,_ � ,1.,,-�4� �.-;� < i <�;�,�'�-.,��,r�_tiif'� -���� ,�;, <br /> � -�<,.<_ _-, �_.�� _ _n� o.-��,,�i <br /> � <br /> �.,.- �.r.�JL:.���ic�eryrn�com <br /> Boulder Wall Calculations - 9.5-Foot Total Wall Height (North Wall) <br /> Project VEC 14-003 - January 5, 2014 <br /> 1161 Elmwood Avenue, Orono, MN �� <br /> Desian Parameters: Page 1 Of 2 <br /> Retained Soil Friction Angle, �sr:= 28deg Soil Unit Weight, -ys:= 130pcf,�" Crest Slope, p:= Odeg <br /> �'r„ <br /> Foundation Soil Friction Angle, �sf:= 28deg � <br /> Sl :_ ���sr SI = 18.667•deg Rock Unit Weight,��r— 135pcf Surcharge Load, qs := Opsf <br /> Exposed Height, Hc:= 9ft Wall Embedm� Hb:_ .5ft Total Height, Hr:= He + Hb <br /> �"� Hr = 9.5 ft <br /> Top of Wall Width, Wt:= 2.Sfi Base of��Width, Wba:= 4ft <br /> � <br /> a:= 83deg �:= 90deg— a �= 7�d�� v= tan(�sf) v = 0.532 <br /> ��,. <br /> Calculate Wall Weiaht: � <br /> W I :_ .5�(Wba— Wt)�He�^�r I ft W 1 91 1.25 lbf W2 := Wt•He•�yr•1 ft W2 = 3.038 x 1031bf <br /> W3 := Hb•Wba•rys•1 ft 3 = 2601bf Ww:= W 1 + W2+ W3 Ww= 4208.8 Ibf <br /> a� <br /> Active Earth Pressue Coeffici�t(Ka): <br /> C <br /> � <br /> 2 <br /> (COS(�Sl'+ 'l�J�� <br /> Ka :_ <br /> 2 Ka= 0.274 <br /> (cos(�))��(cos(Sl ��))��1 + «sin(�sr+ Sl))�(sin(�sr— �3))l� <br /> [(cos(S1 — �))•(cos(—�— �3))] <br /> Total Horizontal F ce: Wt <br /> Horizontal ForCe m Soil, Fah:_ .5•�ys•Ka•Hr�Hrcos(fil — �)�I ft Fah= 1575.1 lbf <br /> Horizontal Forc From Surcharge, Fs:= qs�Ka�Hr•1 ft Fs= 0 <br /> Total Horizon I Force, Fh:= Fah+ Fs Fh= 1575.I lbf <br /> 2 Hr <br /> Frictional sistance: <br /> Vertical F e From Soil, Fav:= .5�^�s�Ka�Hr�Hr•sin(SI — �)•Ift Fav= 325.21bf 1 <br /> Fu:= v•(Ww+ Fav) Fu= 2410.8 Ibf <br /> Factor of Safetv. Base Slidinq: <br /> 3 He <br /> FOS Sliding, FOSs:= Fu FOSs= 1.531 <br /> � wb <br /> �rr�vinecrin�`�`�o�utivns foran�.�nstvf��c �'c�r�c� <br />