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Example 12


0. Example 12

1. Steps to prepare this example in BI (before analysis)

2. Prepare for Point Estimation Analysis

3. References


0. Example 12

This example has a linear limit state function in physical space as Eq. (1) [1].

Table 1 shows correlation matrix, the number and statistical moment of random variables for this example.

The probability density function for random variables is in accordance with Eq. (2).

1. Steps to prepare this example in BI (before analysis):

1.1 Generate Random Variable object: Define > Variable > RandomVariable

1.2 Generate Limit State Function object: Define > Limit State Function

2. Prepare for Point Estimation Analysis

2.1 Generate Nataf Transformation object: Analysis > Transformer

2.2 Generate Output object: Analysis > Output

2.3 Generate Point Estimation Analysis object: Analysis > Point Estimation Analysis

2.4 Run this Point Estimation Analysis object.

2.5 Show text result:

3. References

[1] Zhao Y-G, Ono T. New Point Estimates for Probability Moments. J Eng Mech 2000;126:433–6. https://doi.org/10.1061/(asce)0733-9399(2000)126:4(433).