Intermediate 10 min read Updated 26/10/2024

How to Graph a Modified Goodman Diagram in Excel

Learn how to create a modified Goodman diagram in Excel for fatigue analysis, including setting up stress calculations, plotting the failure lines, and interpreting the results for mechanical component design.

In this tutorial:

  • Setting up stress data
  • Creating the Goodman line
  • Adding yield strength lines
  • Plotting operating points

You'll need:

  • Excel (2010 or newer)
  • Material properties data
  • Basic knowledge of fatigue analysis

Creating a Modified Goodman Diagram in Excel

Step 1: Setting Up Material Properties

1

Enter Material Properties

A1: Ultimate Tensile Strength (Sut)
A2: Yield Strength (Sy)
A3: Endurance Limit (Se)
A4: Safety Factor (n)
2

Create Stress Table

Mean Stress Alternating Stress
0 Se
Sut 0

Step 2: Creating the Basic Plot

1

Insert Scatter Plot

  • • Select your stress data
  • • Insert > Scatter Plot
  • • Choose "Scatter with Straight Lines"
2

Format Axes

  • • X-axis: Mean Stress (0 to Sut)
  • • Y-axis: Alternating Stress (0 to Se)
  • • Add gridlines for better readability

Step 3: Adding Yield Strength Lines

Yield Line Equations:

For positive yield line:

σa + σm = Sy

For negative yield line:

σa - σm = -Sy
1

Create Additional Data Series

Add columns for yield lines using the equations above.

Step 4: Plotting Operating Points

1

Add Operating Points

Create new columns:
Operating_Mean_Stress | Operating_Alt_Stress

Pro Tips and Best Practices

Formatting Tips:

  • Use different colors for different lines
  • Add a legend for clarity
  • Include grid lines for easy reading

Analysis Tips:

  • Check safety factor at critical points
  • Consider stress concentration factors

Common Issues and Solutions

  • Graph Not Displaying Correctly:

    Check data ranges and axis settings

  • Lines Not Intersecting:

    Verify material property values and calculations