1. Go into Engineering Data and put a check mark in the box next to Young's Modulus. Do the same for Tensile Yield Strength.

I created a beam midsurface model in SpaceClaim and made the width of the beam a Parameter by creating a Group for that in SpaceClaim. Once the beam was brought into Mechanical, I had to assign a thickness to the beam and I made that a Parameter by clicking the P next to the thickness assignment. I added supports and a center load to the beam and made the load a Parameter. Yield Strength only affects Factor of Safety so I added the Minimum Factor of Safety as an output Parameter.

I added a Six Sigma Analysis system to the Workbench Project.

The SSA system created a Design of Experiments and computed a Response Surface.

The SIx Sigma Analysis DOE created a normal distribution about the mean Young's Modulus by using a Standard Deviation.

SSA did the same for the width and thickness of the beam, and the load and yield strength, which were created as the other four input parameters. Then it computed how the Minimum Factor of Safety output varied over those five input parameters with their variation.

The data for the plot above is also in a table. Here are a few rows.

Define failure as maximum equivalent stress > yield strength which is the same as saying Factor of Safety < 1.0

From the table above, you can see that the probability of FOS > 1.0 is 90%, which is the reliability of this design.