Spring Rate Explained

Definition of Spring Rate Explained

Spring rate is the force needed to compress a suspension spring by a unit of distance, usually given in N/mm, in kgf/mm in some markets and in lb/in (pounds per inch) in the United States. A coil spring rated at 50 N/mm needs 500 N to compress it by 10 mm. For a helical coil spring the rate rises with the fourth power of the wire diameter and falls with the cube of the mean coil diameter and with the number of active coils.

The spring carries the vehicle's weight and stores energy as the wheel moves, so its rate determines how far the body settles under load and how much the wheel moves over a bump. The same idea applies to leaf springs, torsion bars and anti-roll bars.

Why It Matters for Automotive Suspension Parts Manufacturing

In most suspensions the tire sees a lower rate than the spring itself. This is because the spring usually sits part way along a control arm, so the wheel rate equals the spring rate multiplied by the square of the motion ratio. A spring mounted at 0.7 of the arm's length gives a wheel rate of only about half its own rate. Moving the mounting point, or swapping a coil for a torsion bar on a different lever, alters the wheel rate too.

In practice, engineers often choose the rate from a target ride frequency. Most passenger cars run between about 1.0 and 1.5 Hz, and sports cars somewhat higher. A rate that is too soft brings excessive roll, nose dive under braking and bottoming when the car is loaded, while one that is too stiff makes the ride harsh and lets the tires lose grip on broken surfaces. The dampers must also match the springs, because a shock valved for one rate will underdamp or overdamp another. The choice between a constant rate and one that rises with travel is covered under progressive and linear springs.

FAQ

How do you choose a new spring rate when a vehicle is lowered or carries a permanent extra load?

The usual approach is to start from the corner mass and a target ride frequency, then work back to the spring rate through the motion ratio. The wheel rate you need is roughly 4π² times the sprung corner mass times the frequency squared. Divide that by the square of the motion ratio to get the spring rate. You should weigh the vehicle at each corner in its working condition, with the extra load fitted, since an estimated corner mass is a common source of error. A lowered car also has less travel before the bump stop, so it usually needs a higher rate to avoid bottoming, and the dampers should be revalved or replaced to suit.

How is the rate of a coil spring measured and checked against its drawing?

You measure it on a spring load tester, recording the load at two heights within the working range and dividing the change in load by the change in height. It is best to avoid the first and last parts of travel, since the end coils are still seating at low load and coils start to touch near solid height. EN 13906-1 (a European standard) covers the calculation and design of helical compression springs, and the drawing should state the test heights and the permitted tolerance.

Does a coil spring lose its rate as it ages?

Its rate hardly changes. What does fall, as the steel relaxes, is its free length and the load it carries at a given height, which is why a tired spring shows up as lost ride height rather than a softer feel. It is worth checking ride height against the specification and replacing springs in axle pairs. Corrosion pits on the wire are a more serious concern, because fatigue cracks tend to start there.