

************************************************************************************************
***************************************** FORM  COBYLA *****************************************
************************************************************************************************
event probability = 1.76092e-03
generalized reliability index = 2.91809
************************************************************************************************
standard space design point = -2.2586
standard space design point = 1.6477
standard space design point = 0.5835
standard space design point = 0.3545
standard space design point = 0.2546
standard space design point = 0.1986
standard space design point = 0.1628
standard space design point = 0.1380
standard space design point = 0.1197
standard space design point = 0.1057
standard space design point = 0.0946
standard space design point = 0.0856
standard space design point = 0.0782
standard space design point = 0.0720
standard space design point = 0.0667
standard space design point = 0.0621
standard space design point = 0.0581
standard space design point = 0.0546
standard space design point = 0.0515
standard space design point = 0.0487
standard space design point = 0.0462
standard space design point = 0.0440
standard space design point = 0.0419
standard space design point = 0.0401
standard space design point = 0.0384
standard space design point = 0.0368
************************************************************************************************
physical space design point = 0.27414
physical space design point = 0.36477
physical space design point = 0.25835
physical space design point = 0.23545
physical space design point = 0.22546
physical space design point = 0.21986
physical space design point = 0.21628
physical space design point = 0.21380
physical space design point = 0.21197
physical space design point = 0.21057
physical space design point = 0.20946
physical space design point = 0.20856
physical space design point = 0.20782
physical space design point = 0.20720
physical space design point = 0.20667
physical space design point = 0.20621
physical space design point = 0.20581
physical space design point = 0.20546
physical space design point = 0.20515
physical space design point = 0.20487
physical space design point = 0.20462
physical space design point = 0.20440
physical space design point = 0.20419
physical space design point = 0.20401
physical space design point = 0.20384
physical space design point = 0.20368
************************************************************************************************
is standard point origin in failure space?  false
************************************************************************************************
importance factors = 0.59906
importance factors = 0.31885
importance factors = 0.03998
importance factors = 0.01476
importance factors = 0.00761
importance factors = 0.00463
importance factors = 0.00311
importance factors = 0.00224
importance factors = 0.00168
importance factors = 0.00131
importance factors = 0.00105
importance factors = 0.00086
importance factors = 0.00072
importance factors = 0.00061
importance factors = 0.00052
importance factors = 0.00045
importance factors = 0.00040
importance factors = 0.00035
importance factors = 0.00031
importance factors = 0.00028
importance factors = 0.00025
importance factors = 0.00023
importance factors = 0.00021
importance factors = 0.00019
importance factors = 0.00017
importance factors = 0.00016
************************************************************************************************
Hasofer reliability index = 2.91809
************************************************************************************************
Pf sensitivity = -0.04371
Pf sensitivity = 0.09872
Pf sensitivity = 0.03189
Pf sensitivity = 0.05254
Pf sensitivity = 0.01129
Pf sensitivity = 0.00659
Pf sensitivity = 0.00686
Pf sensitivity = 0.00243
Pf sensitivity = 0.00493
Pf sensitivity = 0.00125
Pf sensitivity = 0.00384
Pf sensitivity = 0.00076
Pf sensitivity = 0.00315
Pf sensitivity = 0.00051
Pf sensitivity = 0.00267
Pf sensitivity = 0.00037
Pf sensitivity = 0.00232
Pf sensitivity = 0.00028
Pf sensitivity = 0.00205
Pf sensitivity = 0.00022
Pf sensitivity = 0.00183
Pf sensitivity = 0.00017
Pf sensitivity = 0.00166
Pf sensitivity = 0.00014
Pf sensitivity = 0.00151
Pf sensitivity = 0.00012
Pf sensitivity = 0.00139
Pf sensitivity = 0.00010
Pf sensitivity = 0.00129
Pf sensitivity = 0.00009
Pf sensitivity = 0.00120
Pf sensitivity = 0.00007
Pf sensitivity = 0.00112
Pf sensitivity = 0.00007
Pf sensitivity = 0.00106
Pf sensitivity = 0.00006
Pf sensitivity = 0.00100
Pf sensitivity = 0.00005
Pf sensitivity = 0.00094
Pf sensitivity = 0.00005
Pf sensitivity = 0.00089
Pf sensitivity = 0.00004
Pf sensitivity = 0.00085
Pf sensitivity = 0.00004
Pf sensitivity = 0.00081
Pf sensitivity = 0.00003
Pf sensitivity = 0.00078
Pf sensitivity = 0.00003
Pf sensitivity = 0.00074
Pf sensitivity = 0.00003
Pf sensitivity = 0.00071
Pf sensitivity = 0.00003
Pf sensitivity = -0.00000
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Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
************************************************************************************************

************************************************************************************************
************************************** FORM ABDO RACKWITZ **************************************
************************************************************************************************
event probability = 1.76092e-03
generalized reliability index = 2.91809
************************************************************************************************
standard space design point = -2.2586
standard space design point = 1.6477
standard space design point = 0.5835
standard space design point = 0.3545
standard space design point = 0.2546
standard space design point = 0.1986
standard space design point = 0.1628
standard space design point = 0.1380
standard space design point = 0.1197
standard space design point = 0.1057
standard space design point = 0.0946
standard space design point = 0.0856
standard space design point = 0.0782
standard space design point = 0.0720
standard space design point = 0.0667
standard space design point = 0.0621
standard space design point = 0.0581
standard space design point = 0.0546
standard space design point = 0.0515
standard space design point = 0.0487
standard space design point = 0.0462
standard space design point = 0.0440
standard space design point = 0.0419
standard space design point = 0.0401
standard space design point = 0.0384
standard space design point = 0.0368
************************************************************************************************
physical space design point = 0.27414
physical space design point = 0.36477
physical space design point = 0.25835
physical space design point = 0.23545
physical space design point = 0.22546
physical space design point = 0.21986
physical space design point = 0.21628
physical space design point = 0.21380
physical space design point = 0.21197
physical space design point = 0.21057
physical space design point = 0.20946
physical space design point = 0.20856
physical space design point = 0.20782
physical space design point = 0.20720
physical space design point = 0.20667
physical space design point = 0.20621
physical space design point = 0.20581
physical space design point = 0.20546
physical space design point = 0.20515
physical space design point = 0.20487
physical space design point = 0.20462
physical space design point = 0.20440
physical space design point = 0.20419
physical space design point = 0.20401
physical space design point = 0.20384
physical space design point = 0.20368
************************************************************************************************
is standard point origin in failure space?  false
************************************************************************************************
importance factors = 0.59907
importance factors = 0.31884
importance factors = 0.03999
importance factors = 0.01476
importance factors = 0.00761
importance factors = 0.00463
importance factors = 0.00311
importance factors = 0.00224
importance factors = 0.00168
importance factors = 0.00131
importance factors = 0.00105
importance factors = 0.00086
importance factors = 0.00072
importance factors = 0.00061
importance factors = 0.00052
importance factors = 0.00045
importance factors = 0.00040
importance factors = 0.00035
importance factors = 0.00031
importance factors = 0.00028
importance factors = 0.00025
importance factors = 0.00023
importance factors = 0.00021
importance factors = 0.00019
importance factors = 0.00017
importance factors = 0.00016
************************************************************************************************
Hasofer reliability index = 2.91809
************************************************************************************************
Pf sensitivity = -0.04371
Pf sensitivity = 0.09872
Pf sensitivity = 0.03189
Pf sensitivity = 0.05254
Pf sensitivity = 0.01129
Pf sensitivity = 0.00659
Pf sensitivity = 0.00686
Pf sensitivity = 0.00243
Pf sensitivity = 0.00493
Pf sensitivity = 0.00125
Pf sensitivity = 0.00384
Pf sensitivity = 0.00076
Pf sensitivity = 0.00315
Pf sensitivity = 0.00051
Pf sensitivity = 0.00267
Pf sensitivity = 0.00037
Pf sensitivity = 0.00232
Pf sensitivity = 0.00028
Pf sensitivity = 0.00205
Pf sensitivity = 0.00022
Pf sensitivity = 0.00183
Pf sensitivity = 0.00017
Pf sensitivity = 0.00166
Pf sensitivity = 0.00014
Pf sensitivity = 0.00151
Pf sensitivity = 0.00012
Pf sensitivity = 0.00139
Pf sensitivity = 0.00010
Pf sensitivity = 0.00129
Pf sensitivity = 0.00009
Pf sensitivity = 0.00120
Pf sensitivity = 0.00007
Pf sensitivity = 0.00112
Pf sensitivity = 0.00007
Pf sensitivity = 0.00106
Pf sensitivity = 0.00006
Pf sensitivity = 0.00100
Pf sensitivity = 0.00005
Pf sensitivity = 0.00094
Pf sensitivity = 0.00005
Pf sensitivity = 0.00089
Pf sensitivity = 0.00004
Pf sensitivity = 0.00085
Pf sensitivity = 0.00004
Pf sensitivity = 0.00081
Pf sensitivity = 0.00003
Pf sensitivity = 0.00078
Pf sensitivity = 0.00003
Pf sensitivity = 0.00074
Pf sensitivity = 0.00003
Pf sensitivity = 0.00071
Pf sensitivity = 0.00003
Pf sensitivity = -0.00000
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Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
Pf sensitivity = -0.00000
************************************************************************************************

************************************************************************************************
***************************************** SORM  COBYLA *****************************************
************************************************************************************************
Breitung event probability = 4.11118e-03
Breitung generalized reliability index = 2.64280
HohenBichler event probability = 4.51026e-03
HohenBichler generalized reliability index = 2.61128
Tvedt event probability = 4.29501e-03
Tvedt generalized reliability index = 2.62795
************************************************************************************************
sorted curvatures = -0.11054
sorted curvatures = -0.07081
sorted curvatures = -0.04994
sorted curvatures = -0.03808
sorted curvatures = -0.03067
sorted curvatures = -0.02564
sorted curvatures = -0.02202
sorted curvatures = -0.01929
sorted curvatures = -0.01716
sorted curvatures = -0.01545
sorted curvatures = -0.01405
sorted curvatures = -0.01288
sorted curvatures = -0.01189
sorted curvatures = -0.01105
sorted curvatures = -0.01031
sorted curvatures = -0.00967
sorted curvatures = -0.00910
sorted curvatures = -0.00860
sorted curvatures = -0.00814
sorted curvatures = -0.00774
sorted curvatures = -0.00737
sorted curvatures = -0.00703
sorted curvatures = -0.00673
sorted curvatures = -0.00645
sorted curvatures = -0.00619
sorted curvatures = 0.00000
************************************************************************************************
standard space design point = -2.2586
standard space design point = 1.6477
standard space design point = 0.5835
standard space design point = 0.3545
standard space design point = 0.2546
standard space design point = 0.1986
standard space design point = 0.1628
standard space design point = 0.1380
standard space design point = 0.1197
standard space design point = 0.1057
standard space design point = 0.0946
standard space design point = 0.0856
standard space design point = 0.0782
standard space design point = 0.0720
standard space design point = 0.0667
standard space design point = 0.0621
standard space design point = 0.0581
standard space design point = 0.0546
standard space design point = 0.0515
standard space design point = 0.0487
standard space design point = 0.0462
standard space design point = 0.0440
standard space design point = 0.0419
standard space design point = 0.0401
standard space design point = 0.0384
standard space design point = 0.0368
************************************************************************************************
physical space design point = 0.27414
physical space design point = 0.36477
physical space design point = 0.25835
physical space design point = 0.23545
physical space design point = 0.22546
physical space design point = 0.21986
physical space design point = 0.21628
physical space design point = 0.21380
physical space design point = 0.21197
physical space design point = 0.21057
physical space design point = 0.20946
physical space design point = 0.20856
physical space design point = 0.20782
physical space design point = 0.20720
physical space design point = 0.20667
physical space design point = 0.20621
physical space design point = 0.20581
physical space design point = 0.20546
physical space design point = 0.20515
physical space design point = 0.20487
physical space design point = 0.20462
physical space design point = 0.20440
physical space design point = 0.20419
physical space design point = 0.20401
physical space design point = 0.20384
physical space design point = 0.20368
************************************************************************************************
************************************************************************************************
is standard point origin in failure space?  false
************************************************************************************************
importance factors = 0.59906
importance factors = 0.31885
importance factors = 0.03998
importance factors = 0.01476
importance factors = 0.00761
importance factors = 0.00463
importance factors = 0.00311
importance factors = 0.00224
importance factors = 0.00168
importance factors = 0.00131
importance factors = 0.00105
importance factors = 0.00086
importance factors = 0.00072
importance factors = 0.00061
importance factors = 0.00052
importance factors = 0.00045
importance factors = 0.00040
importance factors = 0.00035
importance factors = 0.00031
importance factors = 0.00028
importance factors = 0.00025
importance factors = 0.00023
importance factors = 0.00021
importance factors = 0.00019
importance factors = 0.00017
importance factors = 0.00016
************************************************************************************************
Hasofer reliability index = 2.91809
************************************************************************************************

************************************************************************************************
************************************** SORM ABDO RACKWITZ **************************************
************************************************************************************************
Breitung event probability = 4.11119e-03
Breitung generalized reliability index = 2.64280
HohenBichler event probability = 4.51027e-03
HohenBichler generalized reliability index = 2.61127
Tvedt event probability = 4.29502e-03
Tvedt generalized reliability index = 2.62795
************************************************************************************************
sorted curvatures = -0.11054
sorted curvatures = -0.07081
sorted curvatures = -0.04994
sorted curvatures = -0.03808
sorted curvatures = -0.03067
sorted curvatures = -0.02564
sorted curvatures = -0.02202
sorted curvatures = -0.01929
sorted curvatures = -0.01716
sorted curvatures = -0.01545
sorted curvatures = -0.01405
sorted curvatures = -0.01288
sorted curvatures = -0.01189
sorted curvatures = -0.01105
sorted curvatures = -0.01031
sorted curvatures = -0.00967
sorted curvatures = -0.00910
sorted curvatures = -0.00860
sorted curvatures = -0.00814
sorted curvatures = -0.00774
sorted curvatures = -0.00737
sorted curvatures = -0.00703
sorted curvatures = -0.00673
sorted curvatures = -0.00645
sorted curvatures = -0.00619
sorted curvatures = 0.00000
************************************************************************************************
standard space design point = -2.2586
standard space design point = 1.6477
standard space design point = 0.5835
standard space design point = 0.3545
standard space design point = 0.2546
standard space design point = 0.1986
standard space design point = 0.1628
standard space design point = 0.1380
standard space design point = 0.1197
standard space design point = 0.1057
standard space design point = 0.0946
standard space design point = 0.0856
standard space design point = 0.0782
standard space design point = 0.0720
standard space design point = 0.0667
standard space design point = 0.0621
standard space design point = 0.0581
standard space design point = 0.0546
standard space design point = 0.0515
standard space design point = 0.0487
standard space design point = 0.0462
standard space design point = 0.0440
standard space design point = 0.0419
standard space design point = 0.0401
standard space design point = 0.0384
standard space design point = 0.0368
************************************************************************************************
physical space design point = 0.27414
physical space design point = 0.36477
physical space design point = 0.25835
physical space design point = 0.23545
physical space design point = 0.22546
physical space design point = 0.21986
physical space design point = 0.21628
physical space design point = 0.21380
physical space design point = 0.21197
physical space design point = 0.21057
physical space design point = 0.20946
physical space design point = 0.20856
physical space design point = 0.20782
physical space design point = 0.20720
physical space design point = 0.20667
physical space design point = 0.20621
physical space design point = 0.20581
physical space design point = 0.20546
physical space design point = 0.20515
physical space design point = 0.20487
physical space design point = 0.20462
physical space design point = 0.20440
physical space design point = 0.20419
physical space design point = 0.20401
physical space design point = 0.20384
physical space design point = 0.20368
************************************************************************************************
************************************************************************************************
is standard point origin in failure space?  false
************************************************************************************************
importance factors = 0.59907
importance factors = 0.31884
importance factors = 0.03999
importance factors = 0.01476
importance factors = 0.00761
importance factors = 0.00463
importance factors = 0.00311
importance factors = 0.00224
importance factors = 0.00168
importance factors = 0.00131
importance factors = 0.00105
importance factors = 0.00086
importance factors = 0.00072
importance factors = 0.00061
importance factors = 0.00052
importance factors = 0.00045
importance factors = 0.00040
importance factors = 0.00035
importance factors = 0.00031
importance factors = 0.00028
importance factors = 0.00025
importance factors = 0.00023
importance factors = 0.00021
importance factors = 0.00019
importance factors = 0.00017
importance factors = 0.00016
************************************************************************************************
Hasofer reliability index = 2.91809
************************************************************************************************

************************************************************************************************
**************************************** MONTE CARLO *******************************************
************************************************************************************************
Pf estimation = 3.37553e-03
Pf Variance estimation = 2.83893e-06
CoV = 0.49916
90% Confidence Interval = 5.54287e-03
CI at 90% =[ 6.04093e-04 ; 6.14696e-03 ]
************************************************************************************************

************************************************************************************************
******************************************* L H S **********************************************
************************************************************************************************
Pf estimation = 4.62500e-03
Pf Variance estimation = 5.75451e-07
CoV = 0.16402
90% Confidence Interval = 2.49552e-03
CI at 90% =[ 3.37724e-03 ; 5.87276e-03 ]
************************************************************************************************

