MATLAB package Levelm

MATLAB package "Level2.m" is intended for determining the reliability index using FORM method.

9. MATHCAD sheet "FORM2.mcd"

MATHCAD sheet "FORM2.mcd" is intended for calculation of the reliability index P and failure probability assuming function g(X)= R - E = 0 assuming general three parameter lognormal distribution LN(^,a,a) of E and R.

10. MATDCAD sheet "FORM7.mcd"

MATHCAD package "FORM7.mcd" is intended for calculation of the reliability index P and failure probability assuming a non-linear limit state function g(X) and general three parameter lognormal distribution LN(^,a,a) for basic variables.

11. EXCEL sheet "FORM7.xls"

MATHCAD package "FORM7.mcd" is intended for calculation of the reliability index P and failure probability assuming a non-linear limit state function g(X) and general three parameter lognormal distribution LN(^,a,a) of basic variables

12. MATLAB function "FORM7.m"

MATLAB package "FORM7.m" is intended for determining the probability of failure pf, assuming a pre-defined limit state function of seven basic variables.

13. MATLAB function "Lnden (x, mu, sigma,sk)"

MATLAB function "Lndens" is intended for calculation of the probability density function of three-parameter lognormal distribution. The function is called by the function FORM7 using command "Lndens(ske,me,se)", and returns the value of probability density function.

15. MATLAB function " Lndist (x, mu, sigma,sk)"

MATLAB function "Lndist" is intended for calculation of the distribution function of three-parameter lognormal distribution. The function is called by the function FORM7 using command "Lndist(skr,mr,sr)," and returns the value of the distribution function.

15. MATLAB function "Ndens (x, mu, sigma)"

MATLAB function "Ndens" evaluates the one-dimensional normal density function. The function is called by the function FORM7 using command "Ndens(x)" (or "Ndens(x,mu, sigma)" or Ndens(x,mu)"), and returns the value of the inverse distribution function.

16. MATLAB function "Ndinv (p, mu, sigma)"

MATLAB function "Ndinv" calculates the inverse distribution function of the normal distribution (determining the reliability index beta). The function is called by the function FORM7 using command "Ndinv(p)" (or "Ndinv(p,mu,sigma)" or Ndinv(p,mu)"), and returns the value of the inverse distribution function.

17. MATLAB function "Ndist (x, mu, sigma)"

MATLAB function "Ndist" evaluates the one-dimensional normal distribution function. The function is called by the function FORM7 using command "Ndist(x)" (or "Ndist(x,mu,sigma)" or Ndist(x,mu)"), and returns the value of the inverse distribution function.

Attachment 1 - MATHCAD sheet GammaRGQ.mcd