engineering

Press Fit Calculator

Calculate interface pressure, hub hoop stress, and assembly force for press-fit shaft-hub connections using Lame's equations

Press Fit Calculator

Calculate interface pressure, hub hoop stress, and assembly force for press-fit connections using Lame's equations.

Formulas (Lame's Equations)

p = (δ/d) / (C_hub/E_hub + C_shaft/E_shaft)
C_hub = (D_o²+d²)/(D_o²−d²) + ν_hub
C_shaft = (d²+D_i²)/(d²−D_i²) − ν_shaft [solid: 1−ν]
F_assy = μ·p·π·d·L   T_cap = μ·p·π·d²·L/2

Total dia. difference (not radial)

0 for solid shaft

Steel: 0.10–0.15

Results

Interface Pressure p

75.000 MPa

Hub Hoop Stress σ_θ (inner)

125.000 MPa

tensile (hub wants to expand)

Shaft Hoop Stress σ_θ (outer)

-75.000 MPa

compressive (negative)

Assembly/Press Force

70686 N

= 70.69 kN

Torque Capacity

1767.15 N·m

Elastic Moduli Reference

Steel: 200 GPaAluminum: 69 GPaCast iron: 120 GPaBrass: 100 GPa

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Press Fit Calculator. Most fields include unit selectors so you can work in your preferred unit system.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors.

3

Read the results

The Press Fit Calculator instantly computes the output and displays results with units. All calculations happen in your browser — no loading time and no data sent to a server.

Formula Reference

Press Fit Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above.

When to Use This Calculator

  • Use the Press Fit Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • Use it to generate reference data for a technical report or presentation without manual computation.

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