Magnet Pull Force Calculator

Engineering Calculator

Magnet Pull Force Calculator

Estimate the straight pull force of a permanent magnet against a flat steel plate. The calculation is based on magnetic pressure, magnet geometry, material Br, pole-face area, air gap and practical correction factors for steel and contact condition.

Important The physically correct force relation is F = B²A / (2μ0), but B must be the effective flux density in the contact gap. Actual pull force must be verified by testing because steel grade, steel thickness, air gap, surface flatness and test setup can change the result significantly.
Input

Magnet, Steel Plate & Contact Condition

Result
--
Enter dimensions and click calculate.
Ideal Thick-Steel Force--
Estimated Gap B--
Pole Area--
Total Correction--
Formula

Correct Pull Force Relationship

For a magnetic field crossing an air gap normally into a steel surface, the magnetic pressure is B² / (2μ0). Pull force is this pressure multiplied by effective pole area. The difficult part is estimating B in the real contact gap.

Step Formula / Method Engineering Notes
Open Field Bopen is estimated from Br, shape, thickness and air gap This is the magnet centerline field in air and is not enough by itself for pull force.
Steel Return Path Bgap = Bopen × Ksteel, limited by Br and steel saturation Thick low-carbon steel increases effective gap flux compared with a free magnet in air.
Ideal Force Fideal = Bgap² × A / (2 × μ0) A is pole face area in m². μ0 = 4π × 10⁻⁷ H/m.
Practical Force F = Fideal × Kcontact Kcontact accounts for coating, roughness, paint, tilt, imperfect steel and non-ideal testing.
Unit Conversion 1 kgf = 9.80665 N, 1 lbf = 4.44822 N Catalog pull force is normally straight pull against thick flat low-carbon steel.
Why Results Differ

Why Pull Force Calculators Give Different Results

There is no universal formula that can replace physical testing for every magnet and steel condition. Many commercial calculators are calibrated by measured catalog data. This page uses a transparent engineering estimate so users can see the assumptions.

Air GapPaint, coating, plastic film, dust and uneven surfaces can sharply reduce pull force.
Steel ThicknessThin steel saturates and cannot carry the full magnetic flux path.
Steel MaterialLow-carbon steel gives much higher pull than stainless steel, hardened steel or unknown alloys.
Contact FlatnessA burr, tilt or curved surface reduces effective area and lowers measured force.
Pull DirectionThis calculator estimates straight pull. Shear force depends mostly on friction and is much lower.
Magnet BatchBr tolerance, magnetization quality, temperature and coating thickness all change the final value.
Reference

Typical Br Values for NdFeB, SmCo and Ferrite Grades

Values below are approximate reference values for quick calculation only. Use datasheet values or measured magnetic data for final engineering decisions.

Material Grade Approx. Br (T) Approx. Br (G) Common Use
NdFeB N35 1.17 11700 General-purpose high-strength magnets
NdFeB N42 1.29 12900 Higher strength standard grade
NdFeB N45 1.33 13300 High-performance general use
NdFeB N52 1.45 14500 Maximum energy grade selection
SmCo SmCo 1:5 0.85 8500 High-temperature and corrosion-resistant applications
SmCo SmCo 2:17 1.00 10000 High-temperature motor and sensor applications
SmCo SmCo 2:17 Premium 1.10 11000 Premium SmCo magnetic performance
Ferrite Y25 / C5 0.35 3500 Cost-sensitive permanent magnet applications
Ferrite Y30 / C8 0.38 3800 Common ceramic/ferrite magnet grade
Ferrite Y35 0.40 4000 Higher Br ferrite magnet selection
Set A Consultation Today
Name can't be empty
Email error!
Send Your Message
*We respect your confidentiality and all information are protected.
Contact Us Now
Name can't be empty
Email error!
Message can't be empty
Send Message