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result= class=AnalyticalResult standardSpaceDesignPoint=class=Point name=Unnamed dimension=4 values=[1,1,1,1] physicalSpaceDesignPoint=class=Point name=Physical Space Design Point dimension=4 values=[51,2,11,6] limitStateVariable=class=RandomVector implementation=class=ThresholdEventImplementation antecedent=class=CompositeRandomVector function=class=Function name=Unnamed implementation=class=FunctionImplementation name=Unnamed description=[E,F,L,I,y0] evaluationImplementation=class=SymbolicEvaluation name=Unnamed inputVariablesNames=[E,F,L,I] outputVariablesNames=[y0] formulas=[-F*L^3/(3*E*I)] gradientImplementation=class=SymbolicGradient name=Unnamed evaluation=class=SymbolicEvaluation name=Unnamed inputVariablesNames=[E,F,L,I] outputVariablesNames=[y0] formulas=[-F*L^3/(3*E*I)] hessianImplementation=class=SymbolicHessian name=Unnamed evaluation=class=SymbolicEvaluation name=Unnamed inputVariablesNames=[E,F,L,I] outputVariablesNames=[y0] formulas=[-F*L^3/(3*E*I)] antecedent=class=UsualRandomVector distribution=class=Normal name=Normal dimension=4 mean=class=Point name=Unnamed dimension=4 values=[50,1,10,5] sigma=class=Point name=Unnamed dimension=4 values=[1,1,1,1] correlationMatrix=class=CorrelationMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1] operator=class=Less name=Unnamed threshold=-3 isStandardPointOriginInFailureSpace=false hasoferReliabilityIndex=2 importanceFactors=class=PointWithDescription name=Unnamed dimension=0 description=[] values=[] classicalImportanceFactors=class=PointWithDescription name=Unnamed dimension=0 description=[] values=[] hasoferReliabilityIndexSensitivity=[]
standard space design point= [1.000000,1.000000,1.000000,1.000000]
physical space design point= [51.000000,2.000000,11.000000,6.000000]
is standard point origin in failure space? False
importance factors= [0.250000,0.250000,0.250000,0.250000]
importance factors(classical)= [0.250000,0.250000,0.250000,0.250000]
importance factors(physical) = [0.001091,0.709134,0.210983,0.078793]
Hasofer reliability index=2.00000
graph importance factors= class=Graph name=Unnamed implementation=class=GraphImplementation name=Unnamed title=Importance Factors from Design Point - Unnamed xTitle= yTitle= axes=OFF grid=OFF legendposition= legendFontSize=10 drawables=[class=Drawable name=Unnamed implementation=class=Pie name=Unnamed labels=[X0 : 25.0%,X1 : 25.0%,X2 : 25.0%,X3 : 25.0%] radius=1 center=class=Point name=Unnamed dimension=2 values=[0,0] color palette=[#1f77b4,#ff7f0e,#2ca02c,#d62728] derived from class=DrawableImplementation name=Unnamed legend= data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=4 dimension=1 data=[[0.25],[0.25],[0.25],[0.25]] color=blue isColorExplicitlySet=true fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1]
graph sensitivity= [class=Graph name=Sensitivity implementation=class=GraphImplementation name=Sensitivity title=Hasofer Reliability Index Sensitivities - Marginal parameters - Unnamed xTitle=parameters yTitle=sensitivities axes=ON grid=ON legendposition=topright legendFontSize=10 drawables=[class=Drawable name=X0 [mu_0,sigma_0] implementation=class=BarPlot name=X0 [mu_0,sigma_0] origin=0 derived from class=DrawableImplementation name=X0 [mu_0,sigma_0] legend=X0 [mu_0,sigma_0] data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=2 dimension=2 data=[[1,0.0330236],[1,0.0330236]] color=#1f77b4 isColorExplicitlySet=false fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1,class=Drawable name=X1 [mu_1,sigma_1] implementation=class=BarPlot name=X1 [mu_1,sigma_1] origin=3 derived from class=DrawableImplementation name=X1 [mu_1,sigma_1] legend=X1 [mu_1,sigma_1] data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=2 dimension=2 data=[[1,-0.842101],[1,-0.842101]] color=#ff7f0e isColorExplicitlySet=false fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1,class=Drawable name=X2 [mu_2,sigma_2] implementation=class=BarPlot name=X2 [mu_2,sigma_2] origin=6 derived from class=DrawableImplementation name=X2 [mu_2,sigma_2] legend=X2 [mu_2,sigma_2] data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=2 dimension=2 data=[[1,-0.459328],[1,-0.459328]] color=#2ca02c isColorExplicitlySet=false fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1,class=Drawable name=X3 [mu_3,sigma_3] implementation=class=BarPlot name=X3 [mu_3,sigma_3] origin=9 derived from class=DrawableImplementation name=X3 [mu_3,sigma_3] legend=X3 [mu_3,sigma_3] data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=2 dimension=2 data=[[1,0.2807],[1,0.2807]] color=#d62728 isColorExplicitlySet=false fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1],class=Graph name=Sensitivity implementation=class=GraphImplementation name=Sensitivity title=Hasofer Reliability Index Sensitivities - Other parameters - Unnamed xTitle=parameters yTitle=sensitivities axes=ON grid=ON legendposition=topright legendFontSize=10 drawables=[class=Drawable name=dependence [R_1_0,R_2_0,R_2_1,R_3_0,R_3_1,R_3_2] implementation=class=BarPlot name=dependence [R_1_0,R_2_0,R_2_1,R_3_0,R_3_1,R_3_2] origin=0 derived from class=DrawableImplementation name=dependence [R_1_0,R_2_0,R_2_1,R_3_0,R_3_1,R_3_2] legend=dependence [R_1_0,R_2_0,R_2_1,R_3_0,R_3_1,R_3_2] data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=6 dimension=2 data=[[1,0],[1,0],[1,0],[1,0],[1,0],[1,0]] color=#1f77b4 isColorExplicitlySet=false fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1]]
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