An algorithm for the First Order Reliability Method (FORM)
1. Identify the distributions of your basic random variables X (typically marginal PDFs or CDFs, as well as correlations or joint distributions)
2. Decide which method is appropriate for transforming your basic random variables X into standard normal random variables U (using one of the four cases discussed).
3. Use the Hasofer-Lind Rackwitz-Feissler algorithm to find the design point u*
a. Choose an initial guess for the x associated with u*. This is x(0)
b. Find the u associated with the current value of x, using the transformation chosen in step 2.
c. Compute the gradient of g, evaluated at ( ) k x :
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