Constant force
springs

Flat strips of pre-stressed 301 stainless steel wound into a coil. As the strip extends, the material's tension resists continuously and exerts a nearly constant force over the entire travel, independent of deflection.

They are the solution for counterbalances, retraction and any mechanism that needs a uniform return force over long travels. Surisa builds them custom, with engineering support.

FIG · constant force spring
Constant force spring: coiled stainless steel strip with the free end extended and a mounting hole
Type
Coiled flat strip
Force
Uniform over the entire travel
Material
Pre-stressed 301 stainless
01

What a constant force spring is and how it works

Constant force springs are flat strips of pre-stressed steel wound into coils of constant radius. Unlike a helical spring, they don't store energy by stretching: the force comes from the material's resistance to uncoiling and returning to its natural radius of curvature.

Their defining characteristic is that they exert a nearly constant force over the entire travel, regardless of how far the strip has been extended. This makes them ideal for counterbalances, retraction and any application requiring a uniform return force over long travels.

Surisa builds them custom, tuning force, strip width and number of turns, with engineering support for each application.

— General specifications
— Type

Flat strip of pre-stressed steel, wound into a coil on itself or on a drum.

— Behaviour

Nearly constant force over the entire travel, independent of deflection.

— Principle

The force comes from the material's resistance to uncoiling and returning to its natural radius.

— Output force

F = (E · b · t³) / (26 · Rn²) — approximate.

— Initial ramp

Full load is reached when the strip extends ≈ 1.25 × its diameter; after that, a flat curve.

— Reference material

Pre-stressed type 301 stainless steel.

— Fatigue life

Typically from 2,500 to over 1,000,000 cycles depending on sizing.

— Manufacturing

Custom: adjustable force, strip width and number of turns.

02

Why the force is constant

The force is constant because the change in radius of curvature is constant as the strip uncoils. As long as the radius of the wound coils doesn't change significantly, the opposing force stays flat.

After a brief initial ramp —the strip reaches full load once extended around 1.25 times its diameter—, the force-displacement curve is essentially horizontal.

vs. extension spring · Hooke's law

A helical extension spring follows F = k·x: the force increases in proportion to the stretch. If you need the force to grow with travel, the choice is an extension spring; if you need it to stay flat, a constant force spring.

FIG · force vs. displacement
Force-displacement curve: linear extension vs. constant forceGraph comparing force against displacement for an extension spring (rising straight line per Hooke's law F = k·x) with that of a constant force spring (flat horizontal line after a brief initial ramp to full load at around 1.25 times the diameter).F · fuerzax · desplazamiento0tracción · F = k·xfuerza constantecarga plena≈ 1,25 × Ø

The constant force spring curve (terracotta) stays flat after the initial ramp; the extension spring curve (dashed) grows linearly with displacement.

03

Calculation and design parameters

The output force depends on the strip geometry and the material. These four parameters, combined, define the force the spring exerts.

Fatigue life: depending on sizing, a constant force spring typically offers between 2,500 and over 1,000,000 cycles. It is one of the most predictable parameters of the component, which makes it easy to select for a target life.

Design parameters of a constant force spring: strip thickness, strip width, natural radius of curvature and modulus of elasticity, with their symbol and influence on force.
Parameter Symbol Influence on force
Strip thickness t The most influential factor: the force varies with the cube of the thickness (t³).
Strip width b Linear influence: doubling the width doubles the force.
Natural radius of curvature Rn Inverse square: the smaller the radius, the greater the force.
Modulus of elasticity E Material property (stainless steel, Inconel, Elgiloy…).
Output force

F = (E · b · t³) / (26 · Rn²)

Where E is the modulus of elasticity, b the width, t the thickness and Rn the natural radius. Since the force depends on , the strip thickness is the most influential parameter.

The internal stress follows σ = E·t/(2·Rn): keeping it below ~60% of the material's yield strength is what ensures lives over a million cycles.

FIG · strip dimensions
Dimensions of a constant force springTechnical diagram of a constant force spring with the dimensions marked: strip width b, strip thickness t, natural radius of curvature Rn of the wound coils and the strip extended towards the load point F.FRnradio naturaltespesorbanda pre-estresada enrolladasección de bandab · anchurat

The dimensions that define the force: strip width (b), thickness (t) and natural radius of curvature (Rn) of the wound coils.

Shall we talk about your project?

Tell us the required force, the travel, the available space and the service environment — our engineering team will calculate strip width, number of turns and material for the optimal constant force spring. Manufacturer since 1974.

04

Mounting rules

Correct behaviour depends on proper mounting. The strip is wound onto a drum and the free end is fixed to the load point, following four basic rules.

  • Drum diameter

    Should be 10%–20% larger than the spring's natural internal diameter, so as not to force the curvature.

  • Residual turns

    At least 1.5 turns must remain wound on the drum at maximum extension, to guarantee integrity and continuity of the force.

  • Strip guiding

    The strip becomes unstable at long extensions; it should be guided to prevent it from twisting or kinking as it retracts.

  • Idler pulleys

    If used, their diameter must be larger than the natural one and they must never flex the strip against its curvature (back-bending).

⚙ Working direction

The force differs depending on the direction of movement (strip extension or return), so the working direction must be specified when sizing the spring.

FIG · mounting on a drum
Mounting a constant force spring on a drumDiagram of mounting a constant force spring on its drum: the drum diameter is 10-20% larger than the spring's internal diameter, at least 1.5 residual turns must stay wound, and the strip exits towards the load point.tamborcargaØ tambor+10–20 % vs. Ø interior≥ 1,5vueltasresiduales

The spring is wound onto the drum (Ø 10-20% larger than the inner one) and leaves at least 1.5 residual turns; the strip exits towards the load.

05

Materials

Pre-stressed 301 stainless steel is the reference material for the vast majority of applications. For high-temperature or highly corrosive environments, Inconel or Elgiloy is used.

Materials by environment
Common materials for constant force springs, their designation and the characteristic that defines them: pre-stressed type 301 stainless steel, high carbon steel, Inconel and Elgiloy.
MaterialDesignationCharacteristic
Type 301 stainless steelpre-stressedThe most common: consistent quality and life, good stress retention, corrosion resistance and optimal cost (magnetic in the hardened state).
High carbon steelhigh carbonBetter strength-to-cost ratio in dry environments.
InconelNi-Cr alloyHigh temperature and hostile environments.
ElgiloyCo-Cr-NiMaximum fatigue and corrosion resistance.
06

Industrial applications

Constant force springs are chosen whenever a return force or a uniform counterbalance over long travels is needed. To calculate the force, strip width and number of turns for your application, Surisa's engineering team — a specialist manufacturer since 1974 — offers engineering support at no cost.

01

Counterbalances and balancing

Uniform balancing of doors, lids, articulated arms and window sashes, holding any position with no effort from the user.

02

Retraction systems

Automatic, constant reel-in of cables, hoses, belts and straps, with a uniform return force over the entire travel.

03

Extension mechanisms

Drawers, linear guides, screens and blinds where a constant, predictable return force is required over long strokes.

04

Medical and diagnostic equipment

Smooth, constant return mechanisms, where repeatability and reliability are critical.

05

Motor springs · constant torque

Wound between two spools, they drive timers, retractors and constant-torque mechanisms, storing and returning energy in a controlled way.

06

Custom load and travel

When the force–travel–space combination isn't covered by any standard, a specific strip is sized by tuning force, width and number of turns.

07

Frequently asked questions

01 What is a constant force spring and how does it differ from an extension spring?

It is a flat strip of pre-stressed steel, wound into a coil, that exerts a nearly constant force over its entire travel, regardless of how far it extends. Its fundamental difference from a helical extension spring is that the latter follows Hooke's law (the force grows linearly with the stretch), whereas the constant force spring keeps the force flat. If you need increasing force, use an extension spring; if you need it uniform, a constant force spring.

02 Why does the force stay constant?

Because the force comes from the material's resistance to uncoiling and recovering its natural radius of curvature, and that change in radius is constant as the strip uncoils. As long as the radius doesn't change significantly, the force stays flat. There is only a brief initial ramp: full load is reached when the strip extends around 1.25 times its diameter, and from there on the force-displacement curve is horizontal.

03 What determines the force it exerts?

The strip geometry and the material: the width has a linear influence (doubling the width doubles the force), the thickness a cubic one (it's the most influential factor) and the natural radius of curvature an inverse-square one (the smaller the radius, the greater the force). The approximate relationship is F = (E·b·t³)/(26·Rn²). For a long life, the internal stress must stay below approximately 60% of the material's yield strength.

04 How is a constant force spring mounted correctly?

It is wound onto a drum whose diameter should be 10-20% larger than the spring's natural internal diameter, and the free end is fixed to the load point. At maximum extension, at least 1.5 turns must remain wound on the drum to guarantee integrity and continuity of the force. The strip must be guided over long travels so it doesn't twist, and any pulley must be larger than the natural diameter without flexing the strip against its curvature.

05 Which materials are they made of and how many cycles do they last?

The reference material is pre-stressed type 301 stainless steel, for its consistent quality, life and stress retention. For high-temperature or highly corrosive environments, Inconel or Elgiloy is used, and high carbon steel for dry environments with a better cost-to-strength ratio. Typical fatigue life ranges from 2,500 to over 1,000,000 cycles depending on sizing, making it one of the most predictable parameters of the component.

Do you need a constant force spring?

Tell us the required force, the travel, the available space and the environment — we calculate strip width, number of turns and material, and specify the working direction. Free engineering support, manufacturer since 1974. Always custom.