Magnetic Force Calculator

Effortlessly calculate magnetic forces and optimise your magnetic solutions for enhanced performance and efficiency.

Please select shape

The force calculator can be used for both the computation of the holding/pull force between two identical magnets, and for the computation of the holding/pull force between a magnet and a magnetically non-saturated (hence, sufficiently thick) steel plate. Also, we have only considered the situation of zero distance between magnet and magnet or, equivalently, between magnet and steel plate. Non-zero air gaps are not considered. Note that for zero distance, the force between a magnet and a steel plate is the same as the force between two identical magnets (NOT for non-zero distance, in which case the force between a magnet and a steel plate is smaller than the force between two identical magnets)”.

Material*

Br (T)*

W (mm)*

L (mm)*

H (mm)*

D (mm)*

D0 (mm)*

Di (mm)*

*Required field.

Calculating Magnetic Force

Accurately determining the magnetic force between two magnets, or between a magnet and a steel plate, typically requires advanced simulation software, specialist expertise, and measured pull-force data. To simplify this, Goudsmit UK has developed an online calculator that provides a quick approximation of magnetic holding force under ideal conditions.

Important Considerations

Magnetisation in direction of height H.
The equations are based on fits on both FEM and otherwise obtained force data, and take uncertainties on both these data into account.
The largest uncertainty is in the measured data fits. Measured data here means pull/holding force data as found within published online literature.
The force is an estimate / approximation. No liability for deviations with measured forces.

Understanding Your Results

The values you see above represent estimated pull forces in Newtons (N) under ideal test conditions. Real-world results will vary depending on factors such as:

Magnet coatings and tolerances
Surface flatness and roughness
Presence of an air gap
Operating temperature and environment

Use the calculator as a guide for design decisions, but consult our engineers for precise performance data.

How the Calculator Works

Estimates holding force between two identical magnets or between a magnet and a thick, non-saturated steel plate.
Based on fits of FEM simulation data and measured pull-force literature.
Assumes magnetisation in the height (H) direction.
At zero distance: force between a magnet and a steel plate = force between two identical magnets.
At non-zero distance: magnet-to-steel force is lower.

Tips for Best Use

Accuracy is Key: Double-check your inputs for accuracy. Even small errors in dimensions or selecting the wrong magnet grade can lead to significant discrepancies in the calculated force.
Experiment with Variables: Use the calculator to simulate how changes in magnet shape, size, or grade affect the magnetic force. This can be incredibly useful for optimising your design for specific requirements.
Understand the Limits: While the Goudsmit UK Magnetic Force Calculator is a powerful tool, it's essential to recognise its limitations. The calculator assumes ideal conditions and may not account for all external factors affecting magnetic force in real-world applications.