Load location

Machine Load Center of Gravity Calculator

Find the two-dimensional center of gravity, total mass, and radial offset for up to three component masses on an actuator carriage. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.

Use calculator All tools

Load location

Run the calculation

Engineering visual

Center of Gravity Calculator calculation path

Each mass contributes a weighted distance from the datum. The combined center of gravity is the balance point of those moments.

01Mass 1
02Calculate and compare
03Total mass

Total mass

Center of gravity X

Center of gravity Y

Radial offset from origin

Calculation reference

What this tool checks.

Use the displayed relationship to understand how the entered conditions affect the result. Treat the output as a preliminary selection, then verify actual operating conditions, catalog limits, and safety margin.

Inputs

Mass 1
Mass 1 X position
Mass 1 Y position
Mass 2
Mass 2 X position
Mass 2 Y position
Mass 3
Mass 3 X position
Mass 3 Y position

Outputs

Total mass
Center of gravity X
Center of gravity Y
Radial offset from origin

Engineering guide

Use the result with the right context.

Calculate center of gravity calculator for a pneumatic application and compare the result with supplier data.

Calculation workflow

Enter Mass 1, Mass 1 X position, Mass 1 Y position and replace every default with application data.
Run the calculation while keeping pressure, temperature, geometry, and reference states consistent.
Interpret Total mass, Center of gravity X, Center of gravity Y against the supplier datasheet, machine risk, and an appropriate design margin.

Assumptions and limits

The relationship is a first-pass rigid-body or elastic-member estimate; guides, joints, seals, and structural compliance can change the installed result.
Use pressure available at the actuator and verify mounting, cushioning, duty, speed, and catalog load limits.

How to use the Center of Gravity Calculator

Start with measured or supplier-confirmed values for Mass 1, Mass 1 X position, Mass 1 Y position, Mass 2. The calculator updates all outputs together, making it easier to see which assumption controls the preliminary selection.

What the result means

Total mass, Center of gravity X, Center of gravity Y, Radial offset from origin answer different parts of the same engineering question. Use the primary result for selection, the secondary values to audit units and margins, and the visible formula to reproduce the calculation in an RFQ worksheet.

Engineering limits

The relationship is a first-pass rigid-body or elastic-member estimate; guides, joints, seals, and structural compliance can change the installed result. Use pressure available at the actuator and verify mounting, cushioning, duty, speed, and catalog load limits. Final approval requires the current manufacturer datasheet and validation under installed conditions.

FAQ

Common review questions.

01Tool noteWhat does the Center of Gravity Calculator calculate?

Find the two-dimensional center of gravity, total mass, and radial offset for up to three component masses on an actuator carriage. It returns Total mass, Center of gravity X, Center of gravity Y, Radial offset from origin so the primary answer and its supporting checks stay together.

02Tool noteCan I use the result as a final component selection?

Use it for preliminary engineering and RFQ comparison. Final selection must include supplier ratings, installation losses, transient conditions, applicable standards, machine risk, and validation testing.

03Tool noteWhy can a supplier calculation differ?

Supplier tools may use proprietary test curves, correction factors, rounding, leakage allowances, or reference conditions. Match those conditions and replace the defaults before comparing results.

04Tool noteWhat should I verify after using the Center of Gravity Calculator?

Check the entered units and reference conditions, then compare the calculated outputs with manufacturer ratings, application safety margins, transient loads, installation losses, and measured machine performance.