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Probabilistic Analysis Overview

In a Probabilistic Analysis, you can define statistical distributions for input parameters (e.g. pillar length, pillar width, pillar height), to account for uncertainty in the values of input parameters. When the analysis is computed, this results in a safety factor distribution from which a probability of failure (PF) is calculated.

The general procedure for carrying out a Probabilistic Analysis with CPillar is as follows.

1. Analysis Type

Set the Analysis Type to Probabilistic in the Project Settings dialog.

2. Sampling Options

In the Project Settings dialog you can choose the Sampling Method and Number of Samples.

3. Defining Random Variables

In order to carry out a Probabilistic Analysis, you must define one or more input parameters (e.g. pillar length, pillar width) as random variables, by assigning statistical distributions to the desired variables and entering the required statistical parameters (e.g. mean, standard deviation). See the Random Variables topic for a summary of the random variables which can be defined in CPillar.

NOTE: Any input parameter which is NOT assigned a Statistical Distribution, is assumed to be exactly known (by the Mean value), and will not be involved in the statistical sampling process.

4. Compute

If the Autocompute option is turned ON, then the Probabilistic Analysis is computed when you change the input data.

5. Analysis Results

After the analysis is computed, the probability of failure will be displayed in the Results section of the Sidebar display. Detailed results are reported in the Info Viewer. Probabilistic input and output data can be plotted on Histogram plots, Scatter plots, etc. Data can also be exported for further analysis and processing.

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