Cone-joint pressing force

What does this quantity describe?

Roloff/Matek derives the required axial pressing force from circumferential friction and force resolution on the cone. Using the same static coefficient against slip and release simplifies equation 12.29 to the implemented form.

Formula and variables

Fe = 2·SH·T/DmF · [cos(α/2)+sin(α/2)/μ]

• Fe = 2 SH T / DmF · [cos(α/2) + sin(α/2)/μ]

Choose the inputs correctly

T is torque to be transmitted safely, DmF mean interface diameter, μ static friction, SH friction safety and α full cone angle. The force resolution uses half-angle α/2.

How to use the calculator

Select the target, enter all remaining quantities for the actual component, and verify the units. Then compare the result with the stated model limits and with the required strength, safety and operating checks.

Worked example

500 N·m, 100 mm, μ=0.1, SH=1.3 and α=5.72° give about 19.48 kN.

Understand the result and units

Fe is required axial assembly or preload force, not interface normal force. The page therefore links to the separate friction-torque and cone-geometry calculators.

The calculator converts internally to coherent SI units. Length, force, torque, stress and angle may therefore use the offered units; dimensionless factors are entered as decimals.

What is taken from Roloff/Matek

Only the closed-form relationship from Kapitel 12.3.2, Gleichung (12.29) is used. Tabulated data, material limits and detailed design checks are not silently added; they remain explicit inputs or are expressly outside the model.

Typical applications

Cone-joint pressing force supports option comparison, plausibility checks and early sizing within its machine-element cluster. Releasing a design requires the additional checks described in the cited chapter.

Assumptions, limits and common mistakes

Ideal tolerance-free cone joint using the same static coefficient against slip and release; separately check push-on distance, contact pressure, component elasticity, speed and assembly losses.

Common mistake: Typical errors are misreading the effective length or force, entering percentages instead of decimals, and treating a preliminary result as a complete verification. In particular: Ideal tolerance-free cone joint using the same static coefficient against slip and release; separately check push-on distance, contact pressure, component elasticity, speed and assembly losses.