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.: -. ! <br /> <br /> .11 <br /> ,: 1'.. <br /> <br /> ,. <br /> 1 <br /> <br />;~~ ~'~i•r.:i•~r`i,r'i~`i~ [~r~tii~ul['~.1:•~•u`.1.:~. I .. _ ~ /.. ~ _ .:. ~ . <br />r 111..I//ii~ ___ q <br />Ufa. x.., - 1 - .. _. ,, <br />- 'ti`=` - ~ calculations made with logarithmic spiral and circular arc as (ailuit sari . <br />" ~ ~ I- .- <br />_ -_ _ _ _ _-_ __ ~ give_very close results. Extensive studies by Swedish rnginern n(slope fa i' <br />- _ - •_~ _ ~'_.'~~y in cla Burin ~ the rrrl - <br />-'- y ~ g y part of this ceniury' also rcveakd the[ [he fa <br />'~ - --D/It = u , ,~- • ~'. surface closely approaches the circular. arc: Th_r analysis of shpt ira~ <br />~~ ---n'/r ^ 1 '.' ~~ `using a''circtllar slip surface was ilevrloped b_y' Fellenitls (1y36) and ct. <br />`= I \` _.__ - - •, - • ` - _'~'and is often referred to :isahe S~rcrAisll cirrlr idethoJ.,Fi;ure J.'_2 sho~ii <br />.._ ~~'~. ._ 1 displacemeui of the soil mass produced by :i slope failure. , <br />. • ". <br />"'' <br />~~ ~,1 r, . <br />a~~° I I t. <br />' n/ <br />p <br />.. .11' T.., X11° .° -_-WI ~.-. <br />. _ u .' - - <br />. ,e1 <br />n <br />~ ", <br />.hl _ .. <br />Fib. 5:!II.Oauing capa:it) numhrn (or Liwula• <br />' liana with inclined loads,. rAfler Atcyerhotf(I`liJ).~ <br /> <br />_ /. - - <br />II r <br />_ ~ r ``` <br />III. ... ~ \ ., <br />t <br />' ~ r. • <br />r f'. r <br />~ ,Ih. <br />1 , <br />_ r ~ F• <br />,f <br />Ir~:~. S:!1. Circular arc mcihod ul' ~lopc an,llysis. <br />Cvru/ur arc nlefhod. Ficurc S'1(u) shows a soil m;lsi bounded hv'` <br />slip sur(acr aGcd. Since the circular arc is an :ustiiiled ,lip sur(nct, its pusiti. <br />is nut dttenninate. Thr err ubrd is therefore an arbnranlp asiume.! arc. T. .' <br />Fumes acting uli ihr soil Ill:IiS fr/Yl/:Ifr tltr w'CICI71 Jf the SOII Illai) tl' aml ' <br />force on the failure surlau. The force im :iny elrntent he rf the slip sur.. <br />' .is rumpuxd of a normal component dF, and shear or ran_•rntial componc <br />r/F, parallel to it.:~.t failure, dF, must br prjual to dte shear strr~eth of t'- <br />soil :u cxprtssal by Ey. (7._')• which in~this case can be written as <br />r/F, = c dl -!- r/F, tan q <br />