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How to interpret the load – deflection curve of a conical compression spring?

If you’ve ever ordered a custom conical compression spring from our team, you might have looked at its load-deflection curve and thought, “What exactly is this telling me?” As someone who’s worked with these springs for over a decade, I’ve seen plenty of engineers and maintenance teams skip over this simple chart—until they run into a spring that compresses weirdly, binds too early, or doesn’t hold the force it’s supposed to. Conical springs aren’t like cylindrical ones, and their curves tell a story that’s key to getting the right part for your application. Today, I want to break down that curve like I would for a customer who just got their first test sample from our warehouse. Conical Compression Spring

First, let’s start with basics: what is a load-deflection curve, anyway? It’s just a graph where the x-axis is deflection—that’s how far you’ve squished the spring from its free length—and the y-axis is load, or how much force the spring is exerting at that squish. For a cylindrical compression spring, this line is almost straight (we call that linear). Double the deflection, double the force—simple. But conical springs? Their curves are anything but straight, and that’s the whole point of using them. A conical spring is shaped like a cone, with one end wider than the other. The wider coils have more metal, right? So they’re stiffer, and they resist compression differently than the narrow, flexible coils at the top. That difference is what makes the curve do what it does.

Let’s walk through a real curve I pulled from a test we did last week on a custom conical spring for a farm tractor seat suspension. This is the kind of curve you’ll see on every conical spring we ship, and it’s the one I explain to every customer when they get their first sample. The first part of the curve—when the spring is just starting to compress, like from free length down to 20% of its total solid length—is gentle, almost linear. The narrow, top coils are the only ones touching the load plate here, so they do all the work. They squish easily, so force goes up slowly. You can see on this curve, at 10mm of deflection, the load is only 50N. That makes sense—those thin, small coils are flexing without too much resistance. This is the area where the spring feels soft, which is exactly what we wanted for that tractor seat: it absorbs small bumps without jostling the driver.

Now, here’s the part that trips people up: the middle of the curve. That’s where the line starts to bend upward, steeper and steeper, as we move from 20% deflection to 70%. Why does that happen? Remember, the wide coils at the bottom are only touching the load plate once the top narrow coils squish close enough. As you compress further, more coils start to make contact and contribute to the force. Each time a new set of wide coils kicks in, the total stiffness of the spring goes up—so every extra mm of deflection adds more newtons of force. On our tractor spring, at 20mm of deflection, the load jumps to 200N, and by 35mm it’s 600N. That’s the transition zone, and it’s one of the biggest advantages of a conical spring over a cylindrical one. A cylindrical spring would have hit 600N at just 15mm, binding way too early. Conical springs let you build that stiffness incrementally, so you get soft cushioning for small loads and stiff support for big ones, all in one part.

Wait, but what if the curve goes the other way? What if it bends downward instead of upward? I’ve seen that too, usually from a spring that was made with the wrong taper. Last year, a customer from a medical device company sent us a conical spring they’d gotten from another supplier, and their curve showed load only hitting 300N at 50mm of deflection—way lower than their spec. Turns out the supplier made the taper too small, so the coils didn’t engage properly as they compressed. The spring was just sliding through itself instead of each coil carrying load. That’s why testing the curve is non-negotiable. For our team, we test every conical spring we ship with a calibrated load tester before it leaves the warehouse, so we can be sure the curve matches the spec. If it doesn’t, we rewind the coils, adjust the taper, and test again—no exceptions.

The most critical point on the curve is the solid length. That’s when the spring is fully compressed, all coils touching each other, no more squishing. On our tractor spring, solid length is 40mm. The curve shoots straight up here—look at that, at 39mm deflection, load is 850N, and at 40mm it’s over 1,200N. That steep spike is normal, and it’s why we never design a spring to hit solid length in service. If you let a conical spring bind, the curve will go vertical, and that’s when you get metal fatigue, broken coils, or even the spring exploding (we’ve seen it, and it’s not pretty). Instead, we design our curves so that the maximum service deflection—how much the spring will actually move in use—hits around 70% to 80% of solid length. For our tractor spring, that’s 32mm deflection, which lands at about 500N of load. Perfect—enough force to hold the seat up under a 200lb driver, soft enough to soak up potholes.

Another thing to watch for: hysteresis. That’s the difference between the curve when you compress the spring and when you release it back to free length. On a good conical spring, the two lines will almost overlap. If there’s a big gap, that means the spring is “taking a set” permanently. We had a customer last year who used our conical springs in a door closer, and they came back saying the door wouldn’t stay closed. We tested their used springs, and the hysteresis gap was 15%—way more than our standard 2% max. Turns out they were compressing the spring all the way to solid length every time the door closed, which caused the coils to deform. We revised the spec so the maximum deflection was 80% of solid length, and the new springs worked perfectly. That’s why reading both the compression and release curves is important—you want your spring to hold its force over thousands of cycles, not wear out in a few months.

Let’s circle back to why this curve matters for you, the customer. Whether you’re using conical springs in medical devices, construction equipment, automotive suspensions, or even office chairs, the load-deflection curve is your guarantee that the spring will do what you need it to. A linear curve (like a cylindrical spring) means you can only get one stiffness, which is fine for simple applications, but conical springs give you that variable stiffness that solves so many problems. But only if the curve is designed right. If the taper is off, if the wire diameter is wrong, or if the coil count is miscalculated, the curve won’t match what you need.

When you work with our team, here’s what we do for you: first, you send us your requirements—how much force you need at a certain deflection, the maximum size the spring can be, the number of cycles it has to last. Then we design a conical spring and run a virtual load-deflection curve to make sure it hits your specs. Next, we build a prototype, test it on our calibrated equipment, and send you the actual curve so you can see for yourself. No guesswork, no surprises. We’ll even walk you through the curve, point out the transition zone, the solid length, and confirm that it aligns with your application. If you say you need the spring to be soft for the first 10mm and stiff after that, we can adjust the taper to make the curve do exactly that.

Torsion Spring I’ve been in this business long enough to know that engineers and maintenance teams don’t have time to second-guess their springs. They need to know that when they install a conical spring, it will perform exactly as planned, every time. That’s why we make the load-deflection curve front and center in every order. If you’ve ever stared at a conical spring curve and felt confused, or if you’re dealing with a spring that’s not holding force or binding too early, reach out. We’re here to help you interpret that curve, refine your design, and supply conical springs that meet your needs. Don’t waste time testing parts that don’t fit—let’s connect and get your spring working right.

References

  1. Shigley, J. E., & Mischke, C. R. (2001). Standard Handbook of Machine Design (3rd ed.). McGraw-Hill.
  2. Spring Manufacturers Institute. (2019). Compression Spring Design and Performance Guidelines. SMI International.
  3. Wahl, A. M. (1963). Mechanical Springs (2nd ed.). McGraw-Hill.

Shengzhou Deyuxiang Hardware Accessories Co., Ltd.
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