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Calculation of a railway suspension coil spring

Rate, deflections, corrected stress, solid length and natural frequency of a helical compression spring, empty and loaded.

RailwaySuspensionCoil springsEN 13906-1Paid
Professional calculator. For a real project the numbers must be checked on the specific case: if you need help, request a consultation.
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Spring
mm
mm
mm
MPa
Loads
N
N
MPa

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Indicative results, provided for preliminary estimation. They do not replace the design and verification of the real case by a qualified professional.

How to use it

Enter the geometry of the spring, the material and the empty and fully loaded loads acting on the group of springs. You get the rate, the deflections, the solid length with the remaining reserve, the corrected shear stress and the natural frequency of the suspension in both load states.

Formulas used

Rate R = G · d⁴ / (8 · D³ · n) Shear stress τ = 8 · F · D / (π · d³) Correction k = (w + 0.5) / (w − 0.75) with w = D / d Solid length Lc = (n + 2) · d Natural frequency f = (1 / 2π) · √(R / m)

Limits

This is the static sizing of a cylindrical round-wire spring with closed and ground ends. What remains is the fatigue check between the minimum and the maximum dynamic load, lateral stability, transverse stiffness and, for nested springs, the distribution between inner and outer. The related service is verification of railway suspension springs.

FAQ

What natural frequency should the suspension have?

For comfort and to reduce dynamic loads, low frequencies are sought, generally between 1 and 2.5 Hz for the secondary suspension and higher for the primary. The value is checked empty and loaded.

How much reserve is needed before solid?

The spring must not go solid even under dynamic overload: a reserve is kept that covers the dynamic increase of the load and the manufacturing tolerances.

Technical consulting

From rough calculation to verified design

An online tool answers one question at a time. A project brings a hundred together: real loads, materials, standards, costs and production. If you need help, write to us or call us for a consultation.