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{"sheet":"EXAMPLE, Normal","index":1,"n_rows":106,"n_cols":47,"rows_kept":106,"cut":false,"hidden":false,"merged":[[9,0,13,0],[0,3,1,3],[2,3,3,3],[6,3,7,3],[0,4,1,4],[4,4,5,4],[8,1,8,2],[4,1,4,2],[0,1,0,2],[8,4,9,4],[2,4,3,4],[6,4,7,4],[10,4,11,4]]}
["Notes","Load (Stress)",null,"Coefficient of Variation, δ = σ/μ","Safety Factor,     SF = μc / μL",null,null,null,null,null,null,null,null,null,null,null,null,null,"x","Normal Strength","x","Lognormal Strength","x","Exponential Strength","x","Uniform Strength","x","Gumbel  Strength","y","Normal Stress","y","Lognormal Stress","y","Exponential Stress","y","Uniform Stress","y","Gumbel","y","Constant","y",{"$f":"C6&\" Strength\"","v":"Normal Strength"},"y",{"$f":"C2&\" Stress\"","v":"Normal Stress"},null,"Strength","Stress"]
["Inputs are yellow","Select Distribution:","Normal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"_xlfn.NORM.INV(0.001,$C$7,$C$8)","v":1075.7817322527333},{"$f":"NORMDIST(S2,$C$7,$C$8,0)","v":2.1626887257139161E-5},{"$f":"_xlfn.LOGNORM.INV(0.001,U104,U106)","v":1.0678115005300496E-3},{"$f":"EXP(-1*(LN(U2)-$U$104)^2/(2*$U$106^2))/(SQRT(2*PI())*($U$106*U2))","v":1.0274945023274018},{"$f":"-LN(1-0.001)/C7","v":6.426233756718699E-7},{"$f":"$C$7*EXP(-W2*$C$7)","v":1555.3431},{"$f":"C7","v":1556.9},{"$f":"1/($C$8-$C$7)","v":-7.1366890045032507E-4},{"$f":"$AA$106*LN(-1*LN(1-0.001))+$AA$104","v":1495.3167611918977},{"$f":"EXP((AA2-$AA$104)/$AA$106)*EXP(-EXP((AA2-$AA$104)/$AA$106))/$AA$106","v":1.0273693715588785E-4},{"$f":"_xlfn.NORM.INV(0.001,$C$3,$C$4)","v":536.46515407482798},{"$f":"NORMDIST(AC2,$C$3,$C$4,0)","v":2.2447267180426597E-5},{"$f":"_xlfn.LOGNORM.INV(0.001,AE104,AE106)","v":7.8825874535351287E-4},{"$f":"EXP(-1*(LN(AE2)-$AE$104)^2/(2*$AE$106^2))/(SQRT(2*PI())*($AE$106*AE2))","v":1.4022337013486228},{"$f":"-LN(1-0.001)/C3","v":1.0005003335835344E-6},{"$f":"$C$3*EXP(-AG2*$C$3)","v":999},{"$f":"C3","v":1000},{"$f":"1/($C$4-$C$3)","v":-1.176470588235294E-3},{"$f":"$AK$106*LN(-1*LN(1-0.001))+$AK$104","v":939.55257627091851},{"$f":"EXP((AK2-$AK$104)/$AK$106)*EXP(-EXP((AK2-$AK$104)/$AK$106))/$AK$106","v":1.0466737778007494E-4},{"$f":"$C$3","v":1000},0,{"$f":"OFFSET($R$2,ROW(AO2)-2,2*$AT$7-1)","v":1075.7817322527333},{"$f":"OFFSET($R$2,ROW(AO2)-2,2*$AT$7)","v":2.1626887257139161E-5},{"$f":"OFFSET($AB$2,ROW(AQ2)-2,2*$AU$8-1)","v":536.46515407482798},{"$f":"OFFSET($AB$2,ROW(AQ2)-2,2*$AU$8)","v":2.2447267180426597E-5},null,"Normal","Normal"]
["Results are green",{"$f":"IF(C2=\"Uniform\", \"Enter Min:\",\"Enter Mean:\")","v":"Enter Mean:"},1000,{"$f":"C4/C3","v":0.15},{"$f":"C7/C3","v":1.5569000000000002},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S2","v":1085.4040976076785},2.6128276743199091E-5,{"$f":"($U$101-$U$2)/100+U2","v":1844.2396047458092},1.9924900001870685E-5,{"$f":"($W$101-$W$2)/100+W2","v":4.5004848172695135E-5},1451.5451599314422,{"$f":"($Y$101-$Y$2)/100+Y2","v":1542.8879000000002},-7.1366890045032507E-4,{"$f":"($AA$101-$AA$2)/100+AA2","v":1496.1767710992476},1.1222190894130832E-4,{"$f":"($AC$101-$AC$2)/100+AC2","v":545.73585099333138},2.7119409374324444E-5,{"$f":"($AE$101-$AE$2)/100+AE2","v":1183.6834010134307},3.183198911417319E-5,{"$f":"($AG$101-$AG$2)/100+AG2","v":7.0068048120069053E-5},932.3303744180372,{"$f":"($AI$101-$AI$2)/100+AI2","v":991.5},-1.176470588235294E-3,{"$f":"($AK$101-$AK$2)/100+AK2","v":940.39672452110676},{"$f":"EXP((AK3-$AK$104)/$AK$106)*EXP(-EXP((AK3-$AK$104)/$AK$106))/$AK$106","v":1.1433057343862918E-4},1000,{"$f":"MAX(AP:AP)","v":2.5624142873751218E-3},1085.4040976076785,2.6128276743199091E-5,{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8-1)","v":545.73585099333138},{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8)","v":2.7119409374324444E-5},null,"Lognormal","Lognormal"]
["Replications",{"$f":"IF(C2=\"Lognormal\",\"Enter Error Factor:\",IF(C2=\"Normal\",\"Enter Standard Deviation:\",IF(C2=\"Gumbel\",\"Enter Variance:\",IF(C2=\"Uniform\",\"Enter Max:\",\"\"))))","v":"Enter Standard Deviation:"},150,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S3","v":1095.0264629626238},3.1446230551809581E-5,{"$f":"($U$101-$U$2)/100+U3","v":3688.4781416801179},6.7820377503721773E-6,{"$f":"($W$101-$W$2)/100+W3","v":8.9367072969718402E-5},1354.6743167603315,{"$f":"($Y$101-$Y$2)/100+Y3","v":1528.8758000000003},-7.1366890045032507E-4,{"$f":"($AA$101-$AA$2)/100+AA3","v":1497.0367810065975},1.2258151316921282E-4,555.00654791183479,3.2639090897408277E-5,{"$f":"($AE$101-$AE$2)/100+AE3","v":2367.3660137681163},1.0829436442884877E-5,{"$f":"($AG$101-$AG$2)/100+AG3","v":1.3913559590655457E-4},870.11003709957697,{"$f":"($AI$101-$AI$2)/100+AI3","v":983},-1.176470588235294E-3,{"$f":"($AK$101-$AK$2)/100+AK3","v":941.24087277129502},1.2488483599883024E-4,1000,{"$f":"MAX(AP:AP)","v":2.5624142873751218E-3},1095.0264629626238,3.1446230551809581E-5,555.00654791183479,3.2639090897408277E-5,null,"Exponential","Exponential"]
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["Do not insert or delete any rows or columns. There are formulas on the right that would be corrupted.","Mean Failure Probability",5.0014860034194239E-3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1152.7606550922953,8.820194165079982E-5,14753.909363285968,6.742527888675359E-7,3.5554042175185805E-4,895.07817521576976,1444.8032000000007,-7.1366890045032507E-4,1502.1968404506968,2.0816580364516098E-4,610.63072942285521,9.1547735304087241E-5,9469.461690296228,1.0730822587663293E-6,5.5354088262546766E-4,574.91051141098978,932,-1.176470588235294E-3,946.30576227242454,2.1207726660140165E-4,1000,2.5624142873751218E-3,1152.7606550922953,8.820194165079982E-5,610.63072942285521,9.1547735304087241E-5]
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[null,"Variance",4.2273319408872128E-4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1172.0053858021859,1.2064516879299656E-4,18442.386437154586,4.5621530081994588E-7,4.442648713459046E-4,779.59610034435957,1416.7790000000009,-7.1366890045032507E-4,1503.9168602653965,2.483255145860028E-4,629.17212325986202,1.2522164219587828E-4,11836.826915805597,7.254801755944283E-7,6.916759781984388E-4,500.73614255530828,915,-1.176470588235294E-3,947.99405877280105,2.5299158381727804E-4,1000,2.5624142873751218E-3,1172.0053858021859,1.2064516879299656E-4,629.17212325986202,1.2522164219587828E-4]
[null,"Mean Success Probability",0.99499851399658057,null,{"$f":"_xlfn.NORM.S.DIST(E7,TRUE)","v":0.99500160207866239},null,null,null,null,null,null,null,null,null,null,null,null,null,1181.6277511571311,1.4029346570198535E-4,20286.624974088896,3.8548461431049559E-7,4.8862709614292787E-4,727.56869282172011,1402.766900000001,-7.1366890045032507E-4,1504.7768701727464,2.7121601720670472E-4,638.44282017836542,1.456152645009482E-4,13020.509528560282,6.1277476384709004E-7,7.6074352598492437E-4,467.31883410734162,906.5,-1.176470588235294E-3,948.83820702298931,2.7631220200683272E-4,1000,2.5624142873751218E-3,1181.6277511571311,1.4029346570198535E-4,638.44282017836542,1.456152645009482E-4]
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["Notes","Load (Stress)",null,"Coefficient of Variation, δ = σ/μ","Safety Factor,     SF = μc / μL",null,null,null,null,null,null,null,null,null,null,null,null,null,"x","Normal Strength","x","Lognormal Strength","x","Exponential Strength","x","Uniform Strength","x","Gumbel  Strength","y","Normal Stress","y","Lognormal Stress","y","Exponential Stress","y","Uniform Stress","y","Gumbel","y","Constant","y",{"$f":"C6&\" Strength\"","v":"Exponential Strength"},"y",{"$f":"C2&\" Stress\"","v":"Exponential Stress"},null,"Strength","Stress"]
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["Results are green",{"$f":"IF(C2=\"Uniform\", \"Enter Min:\",\"Enter Mean:\")","v":"Enter Mean:"},50,{"$f":"C3/C3","v":1},{"$f":"C7/C3","v":10},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S2","v":28.473813331078102},2.6126598626516853E-5,{"$f":"($U$101-$U$2)/100+U2","v":592.27989606748838},6.2039429566833486E-5,{"$f":"($W$101-$W$2)/100+W2","v":1.4013609624013811E-4},466.1651872090186,{"$f":"($Y$101-$Y$2)/100+Y2","v":496.55700000000002},-2.904443799012489E-3,{"$f":"($AA$101-$AA$2)/100+AA2","v":439.27482099796066},1.1221830509702711E-4,{"$f":"($AC$101-$AC$2)/100+AC2","v":-404.2641490066685},2.7119409374324515E-5,{"$f":"($AE$101-$AE$2)/100+AE2","v":59.184170050671575},6.3663978228346342E-4,{"$f":"($AG$101-$AG$2)/100+AG2","v":1.401360962401381E-3},46.616518720901858,{"$f":"($AI$101-$AI$2)/100+AI2","v":51},0.01,{"$f":"($AK$101-$AK$2)/100+AK2","v":-9.603275478893206},{"$f":"EXP((AK3-$AK$104)/$AK$106)*EXP(-EXP((AK3-$AK$104)/$AK$106))/$AK$106","v":1.1433057343862918E-4},50,{"$f":"MAX(AP:AP)","v":499.5},1.4013609624013811E-4,466.1651872090186,{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8-1)","v":1.401360962401381E-3},{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8)","v":46.616518720901858},null,"Lognormal","Lognormal"]
["Replications",{"$f":"IF(C2=\"Lognormal\",\"Enter Error Factor:\",IF(C2=\"Normal\",\"Enter Standard Deviation:\",IF(C2=\"Gumbel\",\"Enter Variance:\",IF(C2=\"Uniform\",\"Enter Max:\",\"\"))))","v":""},150,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S3","v":38.09679673248467},3.1444210883823092E-5,{"$f":"($U$101-$U$2)/100+U3","v":1184.5594492887049},2.111700104051255E-5,{"$f":"($W$101-$W$2)/100+W3","v":2.7827119181310914E-4},435.05501854978849,{"$f":"($Y$101-$Y$2)/100+Y3","v":493.11400000000003},-2.904443799012489E-3,{"$f":"($AA$101-$AA$2)/100+AA3","v":440.13485852417159},1.2257757664122548E-4,-394.99345208816504,3.2639090897408365E-5,{"$f":"($AE$101-$AE$2)/100+AE3","v":118.36830068840588},2.165887288576974E-4,{"$f":"($AG$101-$AG$2)/100+AG3","v":2.7827119181310913E-3},43.505501854978853,{"$f":"($AI$101-$AI$2)/100+AI3","v":52},0.01,{"$f":"($AK$101-$AK$2)/100+AK3","v":-8.7591272287050046},1.2488483599882948E-4,50,{"$f":"MAX(AP:AP)","v":499.5},2.7827119181310914E-4,435.05501854978849,2.7827119181310913E-3,43.505501854978853,null,"Exponential","Exponential"]
[100000,"Capacity (Strength)",null,null,"Safety Index,        β = f(SF,δ)",null,null,null,null,null,null,null,null,null,null,null,null,null,47.719780133891234,3.7699848315037831E-5,1776.8390025099216,1.0979402976465098E-5,4.1640628738608018E-4,406.02102936633679,489.67100000000005,-2.904443799012489E-3,440.99489605038252,1.3389189938126396E-4,-385.72275516966158,3.9132442551009304E-5,177.55243132614018,1.1253789717298399E-4,4.1640628738608019E-3,40.602102936633678,53,0.01,-7.9149789785168023,1.3641212654042073E-4,50,499.5,4.1640628738608018E-4,406.02102936633679,4.1640628738608019E-3,40.602102936633678,null,"Uniform","Uniform"]
["Seed Value","Select Distribution:","Exponential",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57.342763535297806,4.5027681050364678E-5,2369.1185557311383,6.8303357385520566E-6,5.5454138295905116E-4,378.92466299370739,486.22800000000007,-2.904443799012489E-3,441.85493357659345,1.4624908053881397E-4,-376.45205825115812,4.6738732930278574E-5,236.73656196387449,6.9966838304677236E-5,5.5454138295905125E-3,37.892466299370739,54,0.01,-7.0708307283286,1.4900190506725021E-4,50,499.5,5.5454138295905116E-4,378.92466299370739,5.5454138295905125E-3,37.892466299370739,null,"Gumbel","Gumbel"]
[37,{"$f":"IF(C6<>\"Uniform\",\"Enter Mean:\",\"Enter Minimum Value\")","v":"Enter Mean:"},500,{"$f":"C7/C7","v":1},{"$f":"(E3-1)/((D7^2)*(E3^2)+(D3^2))^0.5","v":0.89553347118899029},null,null,null,null,null,null,null,null,null,null,null,null,null,66.965746936704377,5.3574809466010374E-5,2961.398108952355,4.6980965483993791E-6,6.926764785320222E-4,353.63660953468644,482.78500000000008,-2.904443799012489E-3,442.71497110280438,1.597449535534328E-4,-367.18136133265466,5.5610652225718812E-5,295.92069260160878,4.8097614346684483E-5,6.9267647853202231E-3,35.363660953468639,55,0.01,-6.2266824781403978,1.6275180887734804E-4,50,499.5,6.926764785320222E-4,353.63660953468644,6.9267647853202231E-3,35.363660953468639,null,{"$f":"MATCH(C6,AT2:AT6,0)","v":3},"Constant"]
[null,{"$f":"IF(C6=\"Lognormal\",\"Enter Error Factor:\",IF(C6=\"Normal\",\"Enter Standard Deviation:\",IF(C6=\"Uniform\",\"Enter Maximum Value\",IF(C6=\"Gumbel\",\"Enter Variance\",\"\"))))","v":""},155.69999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,76.588730338110949,6.3501321742479543E-5,3553.6776621735717,3.4469019132723008E-6,8.3081157410499324E-4,330.03618876416357,479.3420000000001,-2.904443799012489E-3,443.57500862901531,1.744841026769454E-4,-357.9106644141512,6.5914371968693944E-5,355.10482323934309,3.5269713760925795E-5,8.3081157410499328E-3,33.003618876416354,56,0.01,-5.3825342279521955,1.777683907962399E-4,50,499.5,8.3081157410499324E-4,330.03618876416357,8.3081157410499328E-3,33.003618876416354,null,null,{"$f":"MATCH(C2,AU2:AU7,0)","v":3}]
[null,"Results",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,86.211713739517521,7.4980092263119227E-5,4145.9572153947884,2.6455797138429436E-6,9.6894666967796428E-4,308.01077421621085,475.89900000000011,-2.904443799012489E-3,444.43504615522625,1.9058065122072471E-4,-348.63996749564774,7.7829335769118025E-5,414.2889538770774,2.7057192059845961E-5,9.6894666967796434E-3,30.801077421621081,57,0.01,-4.5383859777639932,1.9416792226128793E-4,50,499.5,9.6894666967796428E-4,308.01077421621085,9.6894666967796434E-3,30.801077421621081]
["Do not insert or delete any rows or columns. There are formulas on the right that would be corrupted.","Mean Failure Probability",9.0930139511583852E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,95.834697140924092,8.8196276786211728E-5,4738.2367686160051,2.099410028174998E-6,1.1070817652509353E-3,287.45525570549489,472.45600000000013,-2.904443799012489E-3,445.29508368143718,2.0815911870146757E-4,-339.36927057714428,9.1547735304087999E-5,473.47308451481172,2.1461645175326568E-5,1.1070817652509354E-2,28.745525570549486,58,0.01,-3.6942377275757909,2.1207726660139355E-4,50,499.5,1.1070817652509353E-3,287.45525570549489,1.1070817652509354E-2,28.745525570549486]
[null,"90% Half-Width About Mean, +/-",4.3168865827168879E-4,null,"Closed Form for Exponential Dist.",null,null,null,null,null,null,null,null,null,null,null,null,null,105.45768054233066,1.0334646088187918E-4,5330.5163218372218,1.7093654420967916E-6,1.2452168608239065E-3,268.27153771805467,469.01300000000015,-2.904443799012489E-3,446.15512120764811,2.2735535249382297E-4,-330.09857365864082,1.0727362639539092E-4,532.65721515254597,1.7466965667604628E-5,1.2452168608239065E-2,26.827153771805467,59,0.01,-2.8500894773875887,2.3163482822598274E-4,50,499.5,1.2452168608239065E-3,268.27153771805467,1.2452168608239065E-2,26.827153771805467]
[null,"Variance",6.8877712773487351E-3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,115.08066394373724,1.2063742022724394E-4,5922.7958750584385,1.4205122136821823E-6,1.3833519563968776E-3,250.36807127765414,465.57000000000016,-2.904443799012489E-3,447.01515873385904,2.4831753997127528E-4,-320.82787674013736,1.2522164219587958E-4,591.84134579028023,1.4509603511888533E-5,1.3833519563968775E-2,25.036807127765421,60,0.01,-2.0059412271993864,2.5299158381726574E-4,50,499.5,1.3833519563968776E-3,250.36807127765414,1.3833519563968775E-2,25.036807127765421]
[null,"Mean Success Probability",0.9090698604884162,null,{"$f":"C7/(C3+C7)","v":0.90909090909090906},"≠",{"$f":"_xlfn.NORM.S.DIST(E7,TRUE)","v":0.81474900921198412},"via ",null,null,null,null,null,null,null,null,null,null,124.70364734514381,1.4028445520322669E-4,6515.0754282796552,1.2002796761101619E-6,1.5214870519698487E-3,233.65941705367081,462.12700000000018,-2.904443799012489E-3,447.87519626006997,2.7120730749659181E-4,-311.55717982163389,1.4561526450094977E-4,651.02547642801449,1.2255495276941779E-5,1.5214870519698486E-2,23.365941705367081,61,0.01,-1.1617929770111843,2.7631220200681787E-4,50,499.5,1.5214870519698487E-3,233.65941705367081,1.5214870519698486E-2,23.365941705367081]
[null,"Run Time (Minutes)",1.4778645833333333E-2,null,null,null,"\"NORM.S.DIST(E7,TRUE)\"",null,null,null,null,null,null,null,null,null,null,null,134.32663074655036,1.6250926800215012E-4,7107.3549815008719,1.0283111496567492E-6,1.6596221475428199E-3,218.06583762557477,458.6840000000002,-2.904443799012489E-3,448.7352337862809,2.9620091300534737E-4,-302.28648290313043,1.6868462018623253E-4,710.20960706574874,1.0495894458014385E-5,1.6596221475428195E-2,21.80658376255748,62,0.01,-0.31764472682298228,3.0177625840692364E-4,50,499.5,1.6596221475428199E-3,218.06583762557477,1.6596221475428195E-2,21.80658376255748]
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[]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"LN(C8)/NORMSINV(0.95)","v":3.0689241864004977},null,null,null,null,null,{"$f":"(6*C8)^0.5/PI()","v":9.7290415642380683},null,null,null,{"$f":"LN(C4)/NORMSINV(0.95)","v":3.0462499592640562},null,null,null,null,null,{"$f":"(6*C4)^0.5/PI()","v":9.5492965855137211}]

{"sheet":"INPUT, Case A","index":3,"n_rows":106,"n_cols":47,"rows_kept":106,"cut":false,"hidden":false,"merged":[[0,5,1,5],[2,5,3,5],[6,3,7,3],[6,4,7,4],[8,1,8,2],[8,4,9,4],[9,0,13,0],[10,4,11,4],[0,1,0,2],[0,3,1,3],[0,4,1,4],[2,3,3,3],[2,4,3,4],[4,1,4,2],[4,4,5,4]]}
["Notes","Load (Stress)",null,"Coefficient of Variation, δ = σ/μ","Safety Factor,     SF = μc / μL","Stress Ratio,     1/SF",null,null,null,null,null,null,null,null,null,null,null,null,"x","Normal Strength","x","Lognormal Strength","x","Exponential Strength","x","Uniform Strength","x","Gumbel  Strength","y","Normal Stress","y","Lognormal Stress","y","Exponential Stress","y","Uniform Stress","y","Gumbel","y","Constant","y",{"$f":"C6&\" Strength\"","v":"Normal Strength"},"y",{"$f":"C2&\" Stress\"","v":"Normal Stress"},null,"Strength","Stress"]
["Inputs are yellow","Select Distribution:","Normal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"_xlfn.NORM.INV(0.001,$C$7,$C$8)","v":281.64420588928471},{"$f":"NORMDIST(S2,$C$7,$C$8,0)","v":4.2756699391288836E-5},{"$f":"_xlfn.LOGNORM.INV(0.001,U104,U106)","v":4.2414141058659217E-3},{"$f":"EXP(-1*(LN(U2)-$U$104)^2/(2*$U$106^2))/(SQRT(2*PI())*($U$106*U2))","v":0.29906108455001623},{"$f":"-LN(1-0.001)/C7","v":1.9057149211114939E-6},{"$f":"$C$7*EXP(-W2*$C$7)","v":524.47500000000002},{"$f":"C7","v":525},{"$f":"1/($C$8-$C$7)","v":-2.2408963585434172E-3},{"$f":"$AA$106*LN(-1*LN(1-0.001))+$AA$104","v":481.20168047026652},{"$f":"EXP((AA2-$AA$104)/$AA$106)*EXP(-EXP((AA2-$AA$104)/$AA$106))/$AA$106","v":1.444547051854105E-4},{"$f":"_xlfn.NORM.INV(0.001,$C$3,$C$4)","v":199.7466308833927},{"$f":"NORMDIST(AC2,$C$3,$C$4,0)","v":2.8504466260859151E-4},{"$f":"_xlfn.LOGNORM.INV(0.001,AE104,AE106)","v":0.74030057122121173},{"$f":"EXP(-1*(LN(AE2)-$AE$104)^2/(2*$AE$106^2))/(SQRT(2*PI())*($AE$106*AE2))","v":3.0298768342025008E-3},{"$f":"-LN(1-0.001)/C3","v":4.234922046914431E-6},{"$f":"$C$3*EXP(-AG2*$C$3)","v":236.01374999999999},{"$f":"C3","v":236.25},{"$f":"1/($C$4-$C$3)","v":-4.4555834029518238E-3},{"$f":"$AK$106*LN(-1*LN(1-0.001))+$AK$104","v":219.2869837869471},{"$f":"EXP((AK2-$AK$104)/$AK$106)*EXP(-EXP((AK2-$AK$104)/$AK$106))/$AK$106","v":3.7298044497626566E-4},{"$f":"$C$3","v":236.25},0,{"$f":"OFFSET($R$2,ROW(AO2)-2,2*$AT$7-1)","v":281.64420588928471},{"$f":"OFFSET($R$2,ROW(AO2)-2,2*$AT$7)","v":4.2756699391288836E-5},{"$f":"OFFSET($AB$2,ROW(AQ2)-2,2*$AU$8-1)","v":199.7466308833927},{"$f":"OFFSET($AB$2,ROW(AQ2)-2,2*$AU$8)","v":2.8504466260859151E-4},null,"Normal","Normal"]
["Results are green",{"$f":"IF(C2=\"Uniform\", \"Enter Min:\",\"Enter Mean:\")","v":"Enter Mean:"},236.25,{"$f":"C4/C3","v":0.05},{"$f":"C7/C3","v":2.2222222222222223},{"$f":"1/E3","v":0.44999999999999996},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S2","v":286.51132177149901},5.1656017855856179E-5,{"$f":"($U$101-$U$2)/100+U2","v":565.70674505950183},1.060276647689538E-4,{"$f":"($W$101-$W$2)/100+W2","v":1.3346294880013155E-4},489.47344656946956,{"$f":"($Y$101-$Y$2)/100+Y2","v":520.53750000000002},-2.2408963585434172E-3,{"$f":"($AA$101-$AA$2)/100+AA2","v":481.81332398642223},1.5779118221971979E-4,{"$f":"($AC$101-$AC$2)/100+AC2","v":200.47669826572485},3.4437345237237451E-4,{"$f":"($AE$101-$AE$2)/100+AE2","v":79.92556263233395},3.3237258045822112E-3,{"$f":"($AG$101-$AG$2)/100+AG2","v":2.96584330666959E-4},220.26305095626131,{"$f":"($AI$101-$AI$2)/100+AI2","v":234.00562500000001},-4.4555834029518238E-3,{"$f":"($AK$101-$AK$2)/100+AK2","v":219.52387230213577},{"$f":"EXP((AK3-$AK$104)/$AK$106)*EXP(-EXP((AK3-$AK$104)/$AK$106))/$AK$106","v":4.0741508061023539E-4},236.25,{"$f":"MAX(AP:AP)","v":5.0659337193832725E-3},286.51132177149901,5.1656017855856179E-5,{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8-1)","v":200.47669826572485},{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8)","v":3.4437345237237451E-4},null,"Lognormal","Lognormal"]
["Replications",{"$f":"IF(C2=\"Lognormal\",\"Enter Error Factor:\",IF(C2=\"Normal\",\"Enter Standard Deviation:\",IF(C2=\"Gumbel\",\"Enter Variance:\",IF(C2=\"Uniform\",\"Enter Max:\",\"\"))))","v":"Enter Standard Deviation:"},{"$f":"0.05*C3","v":11.8125},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S3","v":291.37843765371332},6.2169696947444506E-5,{"$f":"($U$101-$U$2)/100+U3","v":1131.4092487048979},3.5965040159558139E-5,{"$f":"($W$101-$W$2)/100+W3","v":2.6502018267915157E-4},456.80776947727793,{"$f":"($Y$101-$Y$2)/100+Y3","v":516.07500000000005},-2.2408963585434172E-3,{"$f":"($AA$101-$AA$2)/100+AA3","v":482.42496750257794},1.7235744841382177E-4,201.206765648057,4.1446464631629662E-4,{"$f":"($AE$101-$AE$2)/100+AE3","v":159.11082469344669},1.4833248442044579E-3,{"$f":"($AG$101-$AG$2)/100+AG3","v":5.8893373928700361E-4},205.56349626477507,{"$f":"($AI$101-$AI$2)/100+AI3","v":231.76125000000002},-4.4555834029518238E-3,{"$f":"($AK$101-$AK$2)/100+AK3","v":219.76076081732444},4.4502501820102027E-4,236.25,{"$f":"MAX(AP:AP)","v":5.0659337193832725E-3},291.37843765371332,6.2169696947444506E-5,201.206765648057,4.1446464631629662E-4,null,"Exponential","Exponential"]
[100000,"Capacity (Strength)",null,null,"Safety Index,        β = f(SF,δ)",null,null,null,null,null,null,null,null,null,null,null,null,null,296.24555353592763,7.4537985811446209E-5,1697.111752350294,1.8513573373392233E-5,3.9657741655817159E-4,426.3220808346536,511.61250000000007,-2.2408963585434172E-3,483.03661101873365,1.8826662080439219E-4,201.93683303038915,4.9691990540964284E-4,238.29608675455944,8.3783875094930419E-4,8.8128314790704822E-4,191.84493637559413,229.51687500000003,-4.4555834029518238E-3,219.99764933251311,4.8610232468143249E-4,236.25,5.0659337193832725E-3,296.24555353592763,7.4537985811446209E-5,201.93683303038915,4.9691990540964284E-4,null,"Uniform","Uniform"]
["Seed Value","Select Distribution:","Normal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,301.11266941814193,8.9026157962435231E-5,2262.81425599569,1.139538201769397E-5,5.2813465043719161E-4,397.87089614339271,507.15000000000009,-2.2408963585434172E-3,483.64825453488936,2.056421659266186E-4,202.6669004127213,5.9350771974957023E-4,317.48134881567216,5.3437923289036419E-4,1.1736325565270928E-3,179.0419032645267,227.27250000000004,-4.4555834029518238E-3,220.23453784770177,5.3096578927453516E-4,236.25,5.0659337193832725E-3,301.11266941814193,8.9026157962435231E-5,202.6669004127213,5.9350771974957023E-4,null,"Gumbel","Gumbel"]
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[null,{"$f":"IF(C6=\"Lognormal\",\"Enter Error Factor:\",IF(C6=\"Normal\",\"Enter Standard Deviation:\",IF(C6=\"Uniform\",\"Enter Maximum Value\",IF(C6=\"Gumbel\",\"Enter Variance\",\"\"))))","v":"Enter Standard Deviation:"},{"$f":"0.15*C7","v":78.75},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,310.84690118257055,1.2555118470227385E-4,3394.2192632864821,5.6365885666439938E-6,7.9124911819523165E-4,346.53799820237174,498.22500000000014,-2.2408963585434172E-3,484.87154156720078,2.453436880563985E-4,204.12703517738561,8.3700789801516415E-4,475.85187293789761,2.6631044977587406E-4,1.758331373767182E-3,155.94209919106726,222.78375000000005,-4.4555834029518238E-3,220.70831487807911,6.3347467862634194E-4,236.25,5.0659337193832725E-3,310.84690118257055,1.2555118470227385E-4,204.12703517738561,8.3700789801516415E-4,null,null,{"$f":"MATCH(C2,AU2:AU7,0)","v":1}]
[null,"Results",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,315.71401706478485,1.4824635384593857E-4,3959.9217669318782,4.2867817431733077E-6,9.2280635207425167E-4,323.41131292702141,493.76250000000016,-2.2408963585434172E-3,485.48318508335649,2.6797719176316153E-4,204.85710255971776,9.8830902563959758E-4,555.03713499901039,2.0047349081637144E-4,2.0506807823872267E-3,145.53509081715961,220.53937500000006,-4.4555834029518238E-3,220.94520339326778,6.9191413390808142E-4,236.25,5.0659337193832725E-3,315.71401706478485,1.4824635384593857E-4,204.85710255971776,9.8830902563959758E-4]
["Do not insert or delete any rows or columns. There are formulas on the right that would be corrupted.","Mean Failure Probability",1.4377834381902797E-4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,320.58113294699916,1.7437663867445291E-4,4525.6242705772738,3.3725990185222786E-6,1.0543635859532718E-3,301.82801849076958,489.30000000000018,-2.2408963585434172E-3,486.0948285995122,2.9269443520218221E-4,205.58716994204991,1.1625109244963623E-3,634.22239706012317,1.5542102039309427E-4,2.3430301910072711E-3,135.82260832084631,218.29500000000007,-4.4555834029518238E-3,221.18209190845644,7.5573378204373009E-4,236.25,5.0659337193832725E-3,320.58113294699916,1.7437663867445291E-4,205.58716994204991,1.1625109244963623E-3]
[null,"90% Half-Width About Mean, +/-",4.6065931038622943E-7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,325.44824882921347,2.0433071694360113E-4,5091.3267742226699,2.7237735589424255E-6,1.1859208198322919E-3,281.6851146039574,484.8375000000002,-2.2408963585434172E-3,486.70647211566791,3.196864346058729E-4,206.31723732438206,1.3622047796240195E-3,713.40765912123595,1.233502170078485E-4,2.6353795996273154E-3,126.75830157178083,216.05062500000008,-4.4555834029518238E-3,221.41898042364511,8.2542682482461289E-4,236.25,5.0659337193832725E-3,325.44824882921347,2.0433071694360113E-4,206.31723732438206,1.3622047796240195E-3]
[null,"Variance",7.8432696466936899E-9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,330.31536471142778,2.385174137064364E-4,5657.0292778680659,2.2461547548343069E-6,1.3174780537113121E-3,262.88647484153688,480.37500000000023,-2.2408963585434172E-3,487.31811563182362,3.4916155759154782E-4,207.04730470671421,1.5901160913762593E-3,792.59292118234873,9.9789452716712089E-5,2.9277290082473598E-3,118.2989136786916,213.80625000000009,-4.4555834029518238E-3,221.65586893883378,9.0153126512522777E-4,236.25,5.0659337193832725E-3,330.31536471142778,2.385174137064364E-4,207.04730470671421,1.5901160913762593E-3]
[null,"Mean Success Probability",0.99985622165618093,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,335.18248059364208,2.7736240857323679E-4,6222.731781513462,1.8841092184718648E-6,1.4490352875903322E-3,245.3423879063543,475.91250000000025,-2.2408963585434172E-3,487.92975914797933,3.8134706846191515E-4,207.77737208904637,1.8490827238215981E-3,871.77818324346151,8.2028167957287436E-5,3.2200784168674042E-3,110.40407455785946,211.5618750000001,-4.4555834029518238E-3,221.89275745402244,9.8463389685195918E-4,236.25,5.0659337193832725E-3,335.18248059364208,2.7736240857323679E-4,207.77737208904637,1.8490827238215981E-3]
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{"sheet":"INPUT, Case B","index":4,"n_rows":106,"n_cols":47,"rows_kept":106,"cut":false,"hidden":false,"merged":[[0,5,1,5],[2,5,3,5],[6,3,7,3],[6,4,7,4],[8,1,8,2],[8,4,9,4],[9,0,13,0],[10,4,11,4],[0,1,0,2],[0,3,1,3],[0,4,1,4],[2,3,3,3],[2,4,3,4],[4,1,4,2],[4,4,5,4]]}
["Notes","Load (Stress)",null,"Coefficient of Variation, δ = σ/μ","Safety Factor,     SF = μc / μL","Stress Ratio,     1/SF",null,null,null,null,null,null,null,null,null,null,null,null,"x","Normal Strength","x","Lognormal Strength","x","Exponential Strength","x","Uniform Strength","x","Gumbel  Strength","y","Normal Stress","y","Lognormal Stress","y","Exponential Stress","y","Uniform Stress","y","Gumbel","y","Constant","y",{"$f":"C6&\" Strength\"","v":"Normal Strength"},"y",{"$f":"C2&\" Stress\"","v":"Normal Stress"},null,"Strength","Stress"]
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["Results are green",{"$f":"IF(C2=\"Uniform\", \"Enter Min:\",\"Enter Mean:\")","v":"Enter Mean:"},175,{"$f":"C4/C3","v":0.05},{"$f":"C7/C3","v":3},{"$f":"1/E3","v":0.33333333333333331},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S2","v":286.51132177149901},5.1656017855856179E-5,{"$f":"($U$101-$U$2)/100+U2","v":565.70674505950183},1.060276647689538E-4,{"$f":"($W$101-$W$2)/100+W2","v":1.3346294880013155E-4},489.47344656946956,{"$f":"($Y$101-$Y$2)/100+Y2","v":520.53750000000002},-2.2408963585434172E-3,{"$f":"($AA$101-$AA$2)/100+AA2","v":481.81332398642223},1.5779118221971979E-4,{"$f":"($AC$101-$AC$2)/100+AC2","v":148.50125797461101},4.6490416070270682E-4,{"$f":"($AE$101-$AE$2)/100+AE2","v":44.406454233950441},6.3366753399640464E-3,{"$f":"($AG$101-$AG$2)/100+AG2","v":4.003888464003946E-4},163.15781552315653,{"$f":"($AI$101-$AI$2)/100+AI2","v":173.33750000000001},-6.0150375939849628E-3,{"$f":"($AK$101-$AK$2)/100+AK2","v":160.60444132880741},{"$f":"EXP((AK3-$AK$104)/$AK$106)*EXP(-EXP((AK3-$AK$104)/$AK$106))/$AK$106","v":4.733735466591591E-4},175,{"$f":"MAX(AP:AP)","v":5.0659337193832725E-3},286.51132177149901,5.1656017855856179E-5,{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8-1)","v":148.50125797461101},{"$f":"OFFSET($AB$2,ROW(AQ3)-2,2*$AU$8)","v":4.6490416070270682E-4},null,"Lognormal","Lognormal"]
["Replications",{"$f":"IF(C2=\"Lognormal\",\"Enter Error Factor:\",IF(C2=\"Normal\",\"Enter Standard Deviation:\",IF(C2=\"Gumbel\",\"Enter Variance:\",IF(C2=\"Uniform\",\"Enter Max:\",\"\"))))","v":"Enter Standard Deviation:"},{"$f":"0.05*C3","v":8.75},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"($S$101-$S$2)/100+S3","v":291.37843765371332},6.2169696947444506E-5,{"$f":"($U$101-$U$2)/100+U3","v":1131.4092487048979},3.5965040159558139E-5,{"$f":"($W$101-$W$2)/100+W3","v":2.6502018267915157E-4},456.80776947727793,{"$f":"($Y$101-$Y$2)/100+Y3","v":516.07500000000005},-2.2408963585434172E-3,{"$f":"($AA$101-$AA$2)/100+AA3","v":482.42496750257794},1.7235744841382177E-4,149.04204862819037,5.5952727252700052E-4,{"$f":"($AE$101-$AE$2)/100+AE3","v":87.566518438073913},3.4238363719308195E-3,{"$f":"($AG$101-$AG$2)/100+AG3","v":7.9506054803745471E-4},152.26925649242597,{"$f":"($AI$101-$AI$2)/100+AI3","v":171.67500000000001},-6.0150375939849628E-3,{"$f":"($AK$101-$AK$2)/100+AK3","v":160.8083225008593},5.1707234524146263E-4,175,{"$f":"MAX(AP:AP)","v":5.0659337193832725E-3},291.37843765371332,6.2169696947444506E-5,149.04204862819037,5.5952727252700052E-4,null,"Exponential","Exponential"]
[100000,"Capacity (Strength)",null,null,"Safety Index,        β = f(SF,δ)",null,null,null,null,null,null,null,null,null,null,null,null,null,296.24555353592763,7.4537985811446209E-5,1697.111752350294,1.8513573373392233E-5,3.9657741655817159E-4,426.3220808346536,511.61250000000007,-2.2408963585434172E-3,483.03661101873365,1.8826662080439219E-4,149.58283928176974,6.7084187230301599E-4,130.7265826421974,2.1023966485827412E-3,1.1897322496745148E-3,142.10736027821787,170.01250000000002,-6.0150375939849628E-3,161.0122036729112,5.647998624131712E-4,175,5.0659337193832725E-3,296.24555353592763,7.4537985811446209E-5,149.58283928176974,6.7084187230301599E-4,null,"Uniform","Uniform"]
["Seed Value","Select Distribution:","Normal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,301.11266941814193,8.9026157962435231E-5,2262.81425599569,1.139538201769397E-5,5.2813465043719161E-4,397.87089614339271,507.15000000000009,-2.2408963585434172E-3,483.64825453488936,2.056421659266186E-4,150.1236299353491,8.0123542166191564E-4,173.88664684632087,1.4043642832388102E-3,1.5844039513115749E-3,132.62363204779757,168.35000000000002,-6.0150375939849628E-3,161.21608484496309,6.1692649777984757E-4,175,5.0659337193832725E-3,301.11266941814193,8.9026157962435231E-5,150.1236299353491,8.0123542166191564E-4,null,"Gumbel","Gumbel"]
[37,{"$f":"IF(C6<>\"Uniform\",\"Enter Mean:\",\"Enter Minimum Value\")","v":"Enter Mean:"},525,{"$f":"C8/C7","v":0.15},{"$f":"(E3-1)/((D7^2)*(E3^2)+(D3^2))^0.5","v":4.4172610429938617},null,null,null,null,null,null,null,null,null,null,null,null,null,305.97978530035624,1.0592505185851195E-4,2828.5167596410861,7.7577698645728573E-6,6.5969188431621163E-4,371.31844001142076,502.68750000000011,-2.2408963585434172E-3,484.25989805104507,2.2461883605385681E-4,150.66442058892846,9.5332546672660494E-4,217.04671105044434,9.9372129452477776E-4,1.9790756529486351E-3,123.77281333714024,166.68750000000003,-6.0150375939849628E-3,161.41996601701499,6.7385650816155908E-4,175,5.0659337193832725E-3,305.97978530035624,1.0592505185851195E-4,150.66442058892846,9.5332546672660494E-4,null,{"$f":"MATCH(C6,AT2:AT6,0)","v":1},"Constant"]
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[null,"Results",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,315.71401706478485,1.4824635384593857E-4,3959.9217669318782,4.2867817431733077E-6,9.2280635207425167E-4,323.41131292702141,493.76250000000016,-2.2408963585434172E-3,485.48318508335649,2.6797719176316153E-4,151.74600189608719,1.3342171846134423E-3,303.36683945869129,5.5864569560834521E-4,2.7684190562227554E-3,107.80377097567379,163.36250000000004,-6.0150375939849628E-3,161.82772836111877,8.039315752894642E-4,175,5.0659337193832725E-3,315.71401706478485,1.4824635384593857E-4,151.74600189608719,1.3342171846134423E-3]
["Do not insert or delete any rows or columns. There are formulas on the right that would be corrupted.","Mean Failure Probability",4.9954802753720529E-6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,320.58113294699916,1.7437663867445291E-4,4525.6242705772738,3.3725990185222786E-6,1.0543635859532718E-3,301.82801849076958,489.30000000000018,-2.2408963585434172E-3,486.0948285995122,2.9269443520218221E-4,152.28679254966656,1.569389748070069E-3,346.52690366281479,4.3651298793676886E-4,3.1630907578598156E-3,100.6093394969232,161.70000000000005,-6.0150375939849628E-3,162.03160953317067,8.7808330560652098E-4,175,5.0659337193832725E-3,320.58113294699916,1.7437663867445291E-4,152.28679254966656,1.569389748070069E-3]
[null,"90% Half-Width About Mean, +/-",1.4057816653367152E-8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,325.44824882921347,2.0433071694360113E-4,5091.3267742226699,2.7237735589424255E-6,1.1859208198322919E-3,281.6851146039574,484.8375000000002,-2.2408963585434172E-3,486.70647211566791,3.196864346058729E-4,152.82758320324592,1.8389764524923996E-3,389.68696786693829,3.4816109802960721E-4,3.5577624594968758E-3,93.895038201319139,160.03750000000005,-6.0150375939849628E-3,162.23549070522256,9.5905930381758649E-4,175,5.0659337193832725E-3,325.44824882921347,2.0433071694360113E-4,152.82758320324592,1.8389764524923996E-3]
[null,"Variance",7.3042089659487804E-12,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,330.31536471142778,2.385174137064364E-4,5657.0292778680659,2.2461547548343069E-6,1.3174780537113121E-3,262.88647484153688,480.37500000000023,-2.2408963585434172E-3,487.31811563182362,3.4916155759154782E-4,153.36837385682529,2.1466567233579151E-3,432.84703207106179,2.8247057513845623E-4,3.9524341611339355E-3,87.62882494717897,158.37500000000006,-6.0150375939849628E-3,162.43937187727445,1.0474846727746045E-3,175,5.0659337193832725E-3,330.31536471142778,2.385174137064364E-4,153.36837385682529,2.1466567233579151E-3]
[null,"Mean Success Probability",0.99999500451972467,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,335.18248059364208,2.7736240857323679E-4,6222.731781513462,1.8841092184718648E-6,1.4490352875903322E-3,245.3423879063543,475.91250000000025,-2.2408963585434172E-3,487.92975914797933,3.8134706846191515E-4,153.90916451040465,2.4962616771591123E-3,476.00709627518529,2.3250354507234192E-4,4.3471058627709957E-3,81.780795968784787,156.71250000000006,-6.0150375939849628E-3,162.64325304932635,1.144041205385698E-3,175,5.0659337193832725E-3,335.18248059364208,2.7736240857323679E-4,153.90916451040465,2.4962616771591123E-3]
[null,"Run Time (Minutes)",2.4934895833333335E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,340.04959647585639,3.2130403844996539E-4,6788.4342851588581,1.6029872792964008E-6,1.5805925214693523E-3,228.96912950685351,471.45000000000027,-2.2408963585434172E-3,488.54140266413503,4.1649080510764618E-4,154.44995516398401,2.8917363460496683E-3,519.16716047930879,1.9375725781684583E-4,4.7417775644080559E-3,76.323043168951173,155.05000000000007,-6.0150375939849628E-3,162.84713422137824,1.2494724153228811E-3,175,5.0659337193832725E-3,340.04959647585639,3.2130403844996539E-4,154.44995516398401,2.8917363460496683E-3]
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{"sheet":"SUMMARY, Case A vs. Case B","index":5,"n_rows":18,"n_cols":9,"rows_kept":18,"cut":false,"hidden":false,"merged":[[16,0,17,2],[0,5,0,8],[0,0,0,4],[2,0,8,0],[9,0,15,0],[8,1,8,4],[15,1,15,4],[1,1,1,4],[16,3,16,4],[17,3,17,4]]}
["IF",null,null,null,null,"THEN1"]
["Case","Assumptions2",null,null,null,"Probability of Failure","Safety Factor","Safety    Index, β","Stress Ratio"]
["A","Stress, Distribution",{"$f":"'INPUT, Case A'!$C$2","v":"Normal"}]
[null,"Stress, Mean",null,{"$f":"'INPUT, Case A'!$C$3","v":236.25}]
[null,"Stress, Variability",null,null,{"$f":"'INPUT, Case A'!$C$4","v":11.8125}]
[null,"Strength, Distribution",{"$f":"'INPUT, Case A'!$C$6","v":"Normal"}]
[null,"Strength, Mean",null,{"$f":"'INPUT, Case A'!$C$7","v":525}]
[null,"Strength, Variability",null,null,{"$f":"'INPUT, Case A'!$C$8","v":78.75}]
[null,"Measures →",null,null,null,{"$f":"'INPUT, Case A'!$C$10","v":1.4377834381902797E-4},{"$f":"'INPUT, Case A'!$E$3","v":2.2222222222222223},{"$f":"'INPUT, Case A'!$E$7","v":3.6260999605170907},{"$f":"'INPUT, Case A'!$F$3","v":0.44999999999999996}]
["B","Stress, Distribution",{"$f":"'INPUT, Case B'!$C$2","v":"Normal"}]
[null,"Stress, Mean",null,{"$f":"'INPUT, Case B'!$C$3","v":175}]
[null,"Stress, Variability",null,null,{"$f":"'INPUT, Case B'!$C$4","v":8.75}]
[null,"Strength, Distribution",{"$f":"'INPUT, Case B'!$C$6","v":"Normal"}]
[null,"Strength, Mean",null,{"$f":"'INPUT, Case B'!$C$7","v":525}]
[null,"Strength, Variability",null,null,{"$f":"'INPUT, Case B'!$C$8","v":78.75}]
[null,"Measures →",null,null,null,{"$f":"'INPUT, Case B'!$C$10","v":4.9954802753720529E-6},{"$f":"'INPUT, Case B'!$E$3","v":3},{"$f":"'INPUT, Case B'!$E$7","v":4.4172610429938617},{"$f":"'INPUT, Case B'!$F$3","v":0.33333333333333331}]
["Comparison Factor (Ratio)",null,null," Case A/Case B",null,{"$f":"F9/F16","v":28.781685822654893},{"$f":"G9/G16","v":0.74074074074074081},0.8208932922966784,1.3499999999999999]
[null,null,null,"Case B/Case A",null,{"$f":"F16/F9","v":3.4744316443509754E-2},{"$f":"G16/G9","v":1.3499999999999999},1.2181851275726965,0.74074074074074081]

{"sheet":"ModelRiskSYS1","index":6,"n_rows":5000,"n_cols":4,"rows_kept":5000,"cut":false,"hidden":true,"merged":[]}
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