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Vic�Cery �n�ineerin€� � �,onsultin�,LL� <br /> . ..-. ����; -c SS} `,c(�7 "�e.�__.<{e.� <`�irie��.`�!V ,SR i�.�_��J� <br /> � ac'^a . _ , �_n�_, . i' * . ._'-4� . ,;i <br /> rv i r_�,:e ra�C:��i�':;r r y e n�.r.o;v <br /> Boulder Wall Calculations - 4.5-Foot Total Wall Height (South 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 Unit Weight, �ys:= 130pcf Crest Slope, �i:= Odcg <br /> Foundation Soil Friction Angle, �sf:= 28deg <br /> Sl := 3•�sr S1 = 18.667•deg Rock Unit Weight, -yr:= 135pcf Surcharge Load, ys:= Opsf <br /> Exposed Height, He:= 4ft Wall Embedm ent, Hb:_ .Sfr Total Height, Hr:= Hc + Hb <br /> Hr= 4.5 ft <br /> Top of Wall Width, Wt:= lfr Base of Wall Width, Wba:= 2.Sft <br /> a:= 83deg �:= 90deg— a �= 7�deg v := tan(�sf) v = 0.532 <br /> Calculate Wall Weiaht: <br /> W 1 :_ .5�(Wba — Wt)•Hc•�yr�I ft W I = 4051bf W2 := Wt•He•�yr�1 ft W2 = 5401bf <br /> W3 := Hb�Wba•�ys�1 ft W3 = I 62.5 lbf Ww:= W I + W2 + W3 Ww= 1 107.5 lbf <br /> Active Earth Pressue Coefficient(Ka): <br /> � <br /> Ka= (cos(�sr+ ��))` <br /> 2 Ka= 0.274 <br /> (cos(�))�•(cos(SI — �)).�� + [(sin(�sr+ SI))•(sin(�sr— �3))�� <br /> [(cos(dl — �))•(cos(—'�— (�))] <br /> Total Horizontal Force: wt <br /> Horizontal ForCe From Soil, Fah:_ .5•^�s�Ka•Hr•Hrcos(S1 —�)�lfr Fah= 353.41bf <br /> Horizontal Force From Surcharge, Fs:= qs•Ka•Hr�1 ft Fs= 0 <br /> Total Horizontal Force, Fh:= Fah+ Fs Fh= 353.41bf <br /> 2 Hr <br /> Frictional Resistance: <br /> Vertical Force From Soil, Fav:= .5•�ys•Ka�Hr•Hr•sin(S1 — �)•1ft Fav= 731bf 1 <br /> Fu:= v�(Ww+ Fav) Fu= 627.71bf <br /> Factor of Safetv. Base Slidin4: <br /> 3 Hb <br /> FOS Sliding, FOSs:= FU FOSs= I.776 <br /> � wb <br /> �17p�7JTCCJTRf�t�,/c:)/UL7G:7l75 TUr�3/7��f75L"JLTIC �+Ol7G7-"'. <br />