Categories

Mechanical springs

Compression, extension, and Belleville spring calculations.

16available
Workflow

Select the spring type, establish the load characteristic, and assess stress and installation limits.

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Calculators in this category

01Generic Goodman-diagram model on the EN 13906-1 stress core

Compression Spring Fatigue Utilization (Generic Goodman Model)

Calculate a compression spring's mean stress, stress amplitude and fatigue utilization at two working points, reusing the validated EN 13906-1 stress core plus a user-supplied permissible stress amplitude. No DIN EN 13906-1 fatigue diagram is embedded.

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02DIN EN 10270-1:2024-06

Spring Wire Strength (EN 10270-1)

Look up the tensile-strength range of cold-drawn spring steel wire from EN 10270-1 Table 3 for a chosen diameter and wire grade.

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03EN 13906-1

Compression Spring

Calculate forces, rate, stress, and installation limits.

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04EN 13906-2:2013

Extension Spring

Calculate rate, initial tension, forces, and stress.

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05Classical hook stress equations (Shigley) on the EN 13906-2 stress core

Extension Spring Hook Stress and Fatigue Utilization

Calculate bending and torsional stress at an extension spring's hook (points A and B), reusing the validated EN 13906-2 spring-body core plus classical Shigley hook stress equations and a user-supplied permissible stress amplitude. No DIN EN 13906-2 hook/fatigue diagram is embedded.

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06EN 13906-3:2014

Torsion Spring

Calculate moment rate, moments, and bending stress.

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07Generic cantilever bending model on the EN 13906-3 stress core

Torsion Spring Leg Deflection and Stress

Calculate leg bending stress, additional leg rotation and total angle of a torsion spring, reusing the validated EN 13906-3 spring-body core plus a generic straight-leg cantilever bending model. No DIN EN 13906-3 leg data is embedded.

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08EN 16983 / EN 16984

Belleville Spring

Calculate nonlinear disc-spring characteristics.

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09Numerical coupling of the EN 16983/EN 16984 single-group core

Progressive Belleville Spring Stack

Calculate the force-displacement curve, active groups, transition points, strain energy and maximum stress of a progressive multi-group Belleville spring stack, numerically coupling the validated EN 16983/EN 16984 single-group core. No dedicated EN 16983/16984 progressive-stack method is embedded.

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10Generic Goodman-diagram model on the EN 16983/EN 16984 stress core

Belleville Spring Fatigue Utilization (Generic Goodman Model)

Calculate stresses at the five characteristic locations of a Belleville spring, their stress amplitude and fatigue utilization at two working deflections, reusing the validated EN 16983/EN 16984 stress core plus a user-supplied permissible stress amplitude. No EN 16983 fatigue diagram is embedded.

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11Roloff/Matek Gl. (10.2)

Springs in Parallel Calculator

Calculate the combined spring rate of two linear springs connected in parallel.

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12Roloff/Matek Gl. (10.2)

Springs in Series Calculator

Calculate the combined spring rate of two linear springs connected in series.

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13Sauer 2023, Gl. 5.40–5.43

Ring Spring Calculator: Unloading Force

Calculate the return force of a ring spring on unloading from loading force, half cone angle and friction coefficient (valid for α > arctan μ).

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14Sauer 2023, Gl. 5.59–5.66

Air Spring Force Calculator (Polytropic)

Calculate the net force of an air spring from initial pressure, external pressure, volumes, effective area and polytropic exponent.

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15Sauer 2023, Gl. 5.128

Elastomer Spring Shear Force Calculator

Calculate the force of an elastomer spring in parallel shear from shear modulus, shear area, elastomer thickness and shear displacement.

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16Sauer 2023, Gl. 5.113–5.116

Compression Spring Lateral Rate Calculator

Calculate the lateral rate of a helical compression spring from axial rate, free length, mean coil diameter, deflection and modulus ratio G/E.

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