Choosing Coils - Tech - Off-Road Magazine

Tech - Choosing Coils

Take a steel rod, wrap it into a spiral shape, throw some engineered heat-treating in the mix, and you've got yourself a coil spring. That spring can be used as part of your suspension to support the weight of the vehicle. How you use these simple devices and choose their size can have a huge impact on the performance of your suspension.

When an OEM manufacturer designs a suspension, they often choose a spring rate that focuses heavily on ride comfort, while offering proper stability control to keep the vehicle behavior safe under a variety of terrain conditions.

We often have other needs to satisfy, be that wanting to tackle sandy whoops at high speed or maintaining traction control on a nasty dirt obstacle. Choosing spring rates on a vehicle can be somewhat tricky, and that's why proper suspension setup is no trivial task if you want high levels of off-road performance.

We're not going to talk about how to choose your initial vehicle coil spring rates but more about the effects of the various spring rate choices. We'll explore some of the physics involved with how effective spring rates vary based on suspension design and coil or coilover placement.

Coil Dimensions
First, it's helpful to briefly understand what determines the spring rate of a coil spring, expressed in pounds per inch (lb/in) of spring travel. Rate depends on three main physical dimensions: coil wire diameter, coil spring mean diameter, and number of active coils. The spring rate increases as wire diameter increases, but the coil rate decreases as the mean diameter increases. The spring rate decreases as the number of active coils increases, and fewer active coils yield a stiffer spring rate.

For example, we can calculate the spring rate for a coil spring with a coil diameter of 0.600 inches, a mean diameter of 4.5 inches, and 8 active coils. Using the equation below gives us a spring rate of about 250 lb/in. This means that 250 pounds of force is needed to compress the coil one inch in height.

Multiple-Rate Spring
When one or more stacked coils is used, such as in a coilover shock, it's possible to have more than one spring rate as the shock moves through its range of travel. For example, a dual-rate coilover is one that has two springs stacked one atop the other. Both springs compress during the initial portion of the compressive shock travel. The effective spring rate is a combination of the two springs and is less than the rated value of either coil, based on this formula:

The lighter rated coil will compress more as the suspension compresses, and a coilover has an adjustable stop ring that can be set to stop the compression movement of the upper (lighter rate) spring. Once the upper coil is stopped, the spring rate of the shock is simply the spring rate of the lower (higher rated) coil. When using a 200-lb/in upper coil and a 300-lb/in lower coil, the initial spring rate would be 120 lb/in. Once the upper coil is stopped, the final spring rate would jump to 300 lb/in for the remaining distance of shock travel.

PhotosView Slideshow spring rate equation dual spring rate formula

Choosing Spring Rates
When dealing with an engineered lift kit, coil springs are usually provided by the manufacturer and have been chosen to suit the intended use of the kit. However, some suppliers may offer several coil spring rates to further tweak the setup for various off-road applications. A rockcrawler may want a fairly soft rate for slow-speed articulation, whereas a high-speed rig may lean toward a stiffer rate for better resistance to bottoming in big whoops or landing from jumps.

Rates can also be dependent on shock length, target ride height, comfort, and roll resistance. If relatively short shocks are used, spring rates may need to be stiffer to better utilize the short shock travel. Ride height comes into play when setting the coil rates and where a coilover sits in its range of travel at rest. Softer rates may offer more comfort but increase body roll beyond what is desired.

It's possible to have a coilover shock whose travel closely matches the travel distance of the axle or wheel. Or, a shock may travel far less than the distance the wheel travels. A perfect example of this is a shock mounted on an independent suspension. The shock is mounted inboard on the lower control arm, while the wheel is placed further out on this lever arm. The vertical wheel travel will exceed the travel distance of the shock. Additionally, in a scenario like this, the coil spring rate must be increased over the rate of a system where this lever action is not present, such as on a live front axle.

Another physical factor to consider when talking spring rates (and shock travel) is the angle of the coils or shocks with respect to the direction of wheel travel. When wheel travel is vertical but a coilover is positioned at an angle from vertical, its effective coil rate is reduced. The effective (reduced) rate can be calculated as the spring coil rate multiplied by the cosine of the angle the shock deviates from vertical.

Suspension Frequency
An additional property of vehicle design is that of suspension frequency. Imagine having coil springs at all four corners and no shock action or damping in place. If you were to rock the vehicle and observe the resulting spring oscillation, you would observe the suspension frequency. Soft spring rates typically result in a slow frequency, while stiffer springs offer a higher, or more rapid, frequency. Coil rates can be chosen to affect the suspension frequency based on the speed and terrain you want to tackle. For high-speed rigs, it's also common to choose different suspension frequencies front to rear to help dampen the tendency of the vehicle to buck in rough terrain.

You can imagine a soft low-frequency spring rate might work fine for slow crawling but would react too slowly to effectively track rapidly changing terrain at high speed. A stiffer higher-frequency spring may tackle the fast whoops under control but be too stiff to offer anything but a harsh ride in the rocks.

Selecting Coil Spring Rates
The selection of spring rates, even preliminary spring rates, can be tricky. Rates can be chosen with an eye toward achieving a certain ride height or, more importantly, with an emphasis placed on a desired suspension frequency. We need to choose springs that physically fit in our allotted locations, have sufficient length for our desired travel, get us to a desired ride height at static compression, and offer the proper stiffness for the intended use.

Some spring-rate calculators exist online and from coilover manufacturers. To calculate starting coil rates, you typically need to specify sprung vehicle weight, suspension ride height or frequency, and shock angle geometry. This is where a knowledgeable shock or coil spring supplier can help you get started with initial coil rates.

PhotosView Slideshow One way to construct a progressive-rate coil spring is to wind the coil in a cone shape so the mean diameter varies over the coil length. This is often used on OEM coil spring applications where a live axle is used. Other progressive springs use varying spacing between the active coils. Some coils start to bottom as the spring is compressed, and the reduced number of active coils causes the spring rate to rise. Note that small changes in coil wire diameter can significantly affect the spring rate. A caliper or dial indicator should be used to measure coil wire diameter. Precise dimensions are necessary for accurate spring rate prediction. Two coils that appear very similar may have significantly different spring rates with only small dimension differences. Conversely, it’s possible to have two springs with the same rate have markedly different dimensions. When choosing a set of coilover springs, it’s important to ensure the coil spring lengths offer sufficient travel on your shock to prevent them from bottoming completely, causing coil bind. Springs are specified as to their uncompressed free length and their fully compressed block height. The difference between these two dimensions is the travel of the coil. When installing lift coils, the mean diameter of the coil must often remain the same as the stock coil. More active coils added for increased height and/or travel will reduce the coil spring rate. So, manufacturers often increase the coil wire diameter to restore the stock coil rate or make it a bit stiffer. If we have rear coil springs with a rate of 250 lb/in, the two springs have a combined rate of 500 lb/in. If the sprung weight at the rear of the vehicle is 1,500 pounds, that means the spring will be compressed 3 inches when the vehicle is sitting on the coil suspension. It’s important to know your sprung weight when picking coils to closely hit your targeted ride height. Spring rate calculations are straightforward on a live axle. In cases such as this, where the coilover shock is near vertical, the vertical wheel or axle travel very closely follows the shock travel. No additional math is needed to deal with angles or leverage ratios. When coilovers are mounted at an angle, the effective spring rate is reduced by the angle correction factor (ACF) based on the angle from vertical. The effective rate then becomes the spring rate times the cosine of that angle. In all cases, we’re speaking simply of near static suspension behavior. As an axle articulates, effective spring rate may change significantly upward (rising rate) or downward (falling rate). The shock is positioned a good ways in from the wheel on this desert truck, so wheel travel will be far greater than actual shock travel. In this case, the effective (reduced) spring rate at the wheel is D1/D2 multiplied by the spring rate of the coil spring. Where you may see a front live axle coil rated at about 300 lb/in, an IFS shock such as this may have a coil spring with a rating about double, or 600 lb/in. PhotosView Slideshow The bottom mount of the coilover is placed nearer to the wheel on this IFS setup, so the leverage ratio is not as drastic as on the desert truck in the lower left-hand photo. However, the shock angle diminishes its effective rate, so it must be accounted for, as mentioned above. The rear coilover shock is mounted near the rear axle on this short-course truck, so the actual shock travel used is very close to the vertical travel distance of the rear axle. Spring rate would be near a 1:1 ratio for that corner of the truck. This desert truck
has the rear coilover
mounted somewhere
between
the pivot point of
the rear trailing
arm and the rear
axle. As such, the
axle places more
leverage force on
the coilover. Shock
travel distance may
only be about half of
the rear axle travel
distance, but the
coilover spring rate will be nearly double compared to a setup where the
shock is mounted over the rear axle. Such a setup is needed to yield the huge
rear wheel travel numbers with maybe an 18-inch shock. A short-course
truck may have
its suspension
tuned at a diferent
frequency
than that of a
desert truck.
Short-course
racers operate
on a somewhat
groomed track
that’s typically
void of sharpedged
obstacles.
Whereas, a
desert racer has to contend with more adverse and rough track conditions.
This would play into the coil spring rates chosen for each truck, as it would
for the purposes of your own rig.