Results Tables Reference

This page explains the columns of the tables in the Results worksheet of the Excel result file. The worked example pages in this section show these tables for specific runs and link here for the column meanings.

For where result files are saved and what each file contains, see Result Files.

FORM

FORM Results

Column	Meaning
beta	Reliability index (β)
pf	Probability of failure
beta_count	Number of calls to the function that calculates β
hbeta_count	Number of calculations of the Hessian of β
lsf_count	Number of limit state function calls
glsf_count	Number of limit state function gradient calculations
hlsf_count	Number of limit state function Hessian calculations
nit	Number of iterations used by SciPy's minimize function
min_tries	Number of attempts to find a solution. When an attempt fails, a new random starting point is tried.
min_method	SciPy minimize method used
lsf_mult	Lagrange multiplier for the limit state function

Stochastic Variable Inputs and FORM Failure Point Outputs

Column	Meaning
var_name	Stochastic variable name
var_type	Distribution type
mean	Mean value
std	Standard deviation
x	Failure point in real space
u	Failure point in standard normal space
alpha	Direction cosines of the failure point (the alpha vector)
importance	Importance factors: the alpha vector transformed to real space and normalized to unit length (the γ vector in Equation 10 of Kim and Song, 2018, →)

User-Defined Correlation Inputs

Column	Meaning
var 1, var 2	The pair of correlated variables
cor_x	The correlation you defined, in real space
cor_z	The equivalent correlation in standard normal space, from the Nataf transformation

SORM

SORM Results

Column	Meaning
beta	Reliability index (β) from SORM
pf	Probability of failure from SORM
minR, Ravg, maxR	Minimum, average, and maximum radius of curvature of the limit state surface at the design point
minabsR	Smallest absolute radius of curvature
Ks	Sum of the curvatures
lsf_class	Shape classification of the limit state surface (for example, Convex ellipsoid)
sor_method	SORM method used (profile option sor_method)
sor_approx	SORM approximation used (profile option sor_approximation)
sor_fit_meth	Fit method used (profile option sor_fit_method)
fit_radius	Distance from the most probable point to the sampled points, in every direction, when fitting the limit state surface by points. Used when sor_fit_method is Kiureghian or ZhaoPF.
lsf_count	Number of limit state function calls during SORM

Monte Carlo

Monte Carlo Results

Column	Meaning
beta	Reliability index (β) corresponding to the estimated probability of failure
pf	Estimated probability of failure
cv	Coefficient of variation of the estimated probability of failure
max_cv	Target coefficient of variation (profile option mc_max_cv)
size	Total number of samples
%_removed	Percentage of samples removed as out of bounds (profile option mc_remove_oob)
cycles	Number of sampling cycles
auto_size	Whether the sample size was chosen automatically (profile option mc_n is null)
mc_with_is	Whether importance sampling was used