{"text_format":"3","workbook":"xlsx","n_sheets":3,"sheets":["CSSM sand","Ka","Kp"],"not_rendered":{"charts":5,"images":1,"macros":1,"defined_names":81},"read":"whole","date_system":"1900"}

{"sheet":"CSSM sand","index":0,"n_rows":209,"n_cols":19,"rows_kept":209,"merged":[[0,0,0,4],[1,1,1,2],[5,1,5,2],[13,1,13,2],[16,1,16,2]]}
["CSSM Plane‒Strain Incremental Numerical Simulation for Granular Cohesionless Soil"]
[null,"Initial State:"]
[null,"σ'3 (kPa)",{"v":30,"d":"30.00"}]
[null,"Ø’cv,ps (°)",39.61]
[null,"n0 from Eqs. (4-13) or (4-14)",{"$f":"IF(C4>45,(8*SIN((C4)*PI()/180)-(4*PI()/3))/(8*SIN((C4)*PI()/180)),(8*SIN((90-C4)*PI()/180)-(4*PI()/3))/(8*SIN((90-C4)*PI()/180)))","v":{"v":0.32035639901597956,"d":"32.04%"}}]
[null,"Final State:"]
[null,"(σ'1/σ'3)f,cs,ps Eq. (7-12)",{"$f":"INDEX(B27:B100000,COUNTA(B27:B100000))","v":{"v":4.689955934388228,"d":"4.69"}}]
[null,"(σ'1/σ'3)f,cv,ps Eq. (7-3)",{"$f":"(TAN((45+C4/2)*PI()/180))^2","v":{"v":4.518131282171822,"d":"4.52"}}]
[null,"Ø’cs,ps (°)",{"v":49.506575124803035,"d":"49.51"}]
[null,"Tan(Ø’cv,ps)",{"$f":"TAN(C4*PI()/180)","v":{"v":0.82756596799996,"d":"0.83"}}]
[null,"Tan(Ø’cv,ps) from Eq. (4-9)",{"$f":"TAN(C9*PI()/180)*((SIN(60*PI()/180)-SIN(C9*PI()/180))/(COS(C9*PI()/180)-COS(60*PI()/180)))","v":{"v":0.8275662173418508,"d":"0.83"}}]
[null,"check equality",{"$f":"C10/C11","v":{"v":0.9999996987046045,"d":"1.00"}}]
[null,"nc from Eqs. (4-11) or (4-12)",{"$f":"IF(C9>45,(8*SIN((C9)*PI()/180)-(4*PI()/3))/(8*SIN((C9)*PI()/180)),(8*SIN((90-C9)*PI()/180)-(4*PI()/3))/(8*SIN((90-C9)*PI()/180)))","v":{"v":0.31148953496400156,"d":"31.15%"}}]
[null,"Porosity:"]
[null,"Max. Porosity",{"v":0.4764012244017012,"d":"47.64%"}]
[null,"Min. Porosity",{"v":0.2595195103069958,"d":"25.95%"}]
[null,"Computation:"]
[null,"No. Rows or Steps, N",{"v":200,"d":"200.00"}]
[null,"Δα (°) Eq. (7-2)",{"$f":"(C9-C4)/(C18-1)","v":{"v":0.04973153329046752,"d":"0.04973"}}]
[null,"Δα (°) (45.0000)",{"$f":"IF(AND(C9>45,C4<45),(45-C4)/(C18/2),\"NA\")","v":{"v":0.0539,"d":"0.05390"}}]
[null,"No. Rows or Steps, N",{"$f":"IF(AND(C9>45,C4<45),ROUNDDOWN(((C9-C4)+C20)/C20,0),\"NA\")","v":{"v":184,"d":"184.00"}}]
[null,"Precision Eq. (7-11)",{"$f":"IF(AND($C$9>45,$C$4<45),1-((C8-INDEX(B27:B100000,(C18/2)))/C8),1-(C8-MAX(B27:B10000))/C8)","v":{"v":0.9921809837223158,"d":"99.22%"}}]
[]
["step # i","(σ'1/σ'3)i,ps","σ'1 (kPa)","αi (˚)","α0,i (˚)","A","u (kPa)","n","e","Dr","K0","ν","Ꜫ̇̇1ֺ","Ꜫ1","Ꜫ̇̇3","Ꜫ3","Ꜫ̇̇v","Ꜫv","Ꜫs"]
[null,"Eq. (7-4)","(σ'1/σ'3)*σ'3","Eq. (7-1)","Eq. (4-9)","Eq. (4-20)","(σ'1-σ'3)*A","Eq. (4-11) to (4-14)",null,"Eq. (4-23) or (4-26)","Eq. (5-4)","k0/(1+k0) Eq. (7-10)","Eq. (7-7) or Eq. (7-8) ","CUSUM Eq. (7-6)","Ꜫ̇̇3= -Ꜫ̇̇1ֺ*ν Eq. (7-9)","CUSUM","-(Ꜫ̇̇1+Ꜫ̇̇3) Eq. (7-5)","CUSUM","(Ꜫ1-Ꜫ3)"]
[1,{"v":0,"d":"0.0000"},{"v":0,"d":"0.00"},{"$f":"IF(AND($C$9>45,$C$4<45),$C$4+(A26-1)*$C$20,$C$4+(A26-1)*$C$19)","v":{"v":39.61,"d":"39.6100"}},{"$f":"ATAN(TAN(D26*PI()/180)*((SIN(60*PI()/180)-SIN(D26*PI()/180))/(COS(D26*PI()/180)-COS(60*PI()/180))))*180/PI()","v":{"v":34.96215709512142,"d":"34.9622"}},{"$f":"-(1/3)-((TAN(D26*PI()/180)-TAN(E26*PI()/180))/(TAN(D26*PI()/180)*TAN(E26*PI()/180)))","v":{"v":-0.5551279610675963,"d":"-0.56"}},{"v":0,"d":"0.00"},{"$f":"IF(D26>45,(8*SIN((D26)*PI()/180)-(4*PI()/3))/(8*SIN((D26)*PI()/180)),(8*SIN((90-D26)*PI()/180)-(4*PI()/3))/(8*SIN((90-D26)*PI()/180)))","v":{"v":0.32035639901597956,"d":"0.32036"}},{"$f":"H26/(1-H26)","v":{"v":0.47135939859089715,"d":"0.47136"}},{"$f":"((($C$15/(1-$C$15))-(H26/(1-H26)))/(($C$15/(1-$C$15))-($C$16/(1-$C$16))))","v":{"v":0.7838966752556789,"d":"78.39%"}},{"$f":"(SQRT(3/4)-SIN(D26*PI()/180))/(2*COS(D26*PI()/180)-1)","v":{"v":0.4224579719801436,"d":"0.42246"}},{"$f":"K26/(1+K26)","v":{"v":0.2969915317723291,"d":"0.29699"}},{"v":0,"d":"0.00000"},{"v":0,"d":"0.00000"},{"v":0,"d":"0.00000"},{"v":0,"d":"0.00000"},{"v":0,"d":"0.00000"},{"v":0,"d":"0.00000"}]
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[null,"Outward translation:"]
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{"sheet":"Kp","index":2,"n_rows":32,"n_cols":8,"rows_kept":32,"merged":[[8,1,8,7],[20,1,20,7]]}
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[null,"H",3,"m"]
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[]
[]
[null,"depth avg.","y (m)","wall δ (mm)","wall δavg.  (mm)","x (m)","ꜪH,wall","CS ?"]
[null,"Inward rotation about the base:"]
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[null,"Inward translation:"]
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