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Unsprung mass

Unsprung mass is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Unsprung mass rather than just read about it. In short: The unsprung mass (colloquially unsprung weight) of a vehicle is the mass of the suspension, wheels or tracks (as applicable), and other components directly connected to them. This contrasts with the sprung mass (or weight) supported by the suspension, which includes the body and other components within or attached to it.

Unsprung mass — main illustration
Unsprung mass — illustration

Key takeaways

  • Unsprung mass belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Unsprung mass to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Unsprung mass from memory before moving on to harder problems.

Reference excerpt

The unsprung mass (colloquially unsprung weight) of a vehicle is the mass of the suspension, wheels or tracks (as applicable), and other components directly connected to them. This contrasts with the sprung mass (or weight) supported by the suspension, which includes the body and other components within or attached to it. Components of the unsprung mass include the wheel axles, wheel bearings, wheel hubs, tires, and a portion of the weight of driveshafts, springs, shock absorbers, and suspension links. Brakes that are mounted inboard (i.e. as on the drive shaft, and not part of the wheel or its hub) are part of a vehicle's sprung mass.

Effects The unsprung mass of a typical wheel/tire combination represents a trade-off between the pair's bump-absorbing/road-tracking ability and vibration isolation. Bumps and surface imperfections in the road cause tire compression, inducing a force on the unsprung mass. The unsprung mass then reacts to this force with movement of its own. The motion amplitude for small duration and amplitude bumps is inversely proportional to the weight. A lighter wheel which readily rebounds from road bumps will have more grip and more constant grip when tracking over an imperfect road. For this reason, lighter wheels are sought especially for high-performance applications. However, the lighter wheel will soak up less vibration. The irregularities of the road surface will transfer to the cabin through the suspension and hence ride quality and road noise are worse. For longer duration bumps that the wheels follow, greater unsprung mass causes more energy to be absorbed by the wheels and makes the ride worse. Pneumatic or elastic tires help by restoring some spring to the (otherwise) unsprung mass, but the damping possible from tire flexibility is limited by considerations of fuel economy and overheating. The shock absorbers, if any, also damp the spring motion and must be less stiff than would optimally damp the wheel bounce. So the wheels still vibrate after each bump before coming to rest. On dirt roads and on some softly paved roads, the induced motion generates small bumps, known as corrugations, washboarding or "corduroy" because they resemble smaller versions of the bumps in roads made of logs. These cause sustained wheel bounce in subsequent axles, enlarging the bumps. High unsprung mass also exacerbates wheel control issues under hard acceleration or braking. If the vehicle does not have adequate wheel location in the vertical plane (such as a rear-wheel drive car with Hotchkiss drive, a live axle supported by simple leaf springs), vertical forces exerted by acceleration or hard braking combined with high unsprung mass can lead to severe wheel hop, compromising traction and steering control. A beneficial effect of unsprung mass is that high frequency road irregularities, such as the gravel in an asphalt or concrete road surface, are isolated from the body more completely because the tires and springs act as separate filter stages, with the unsprung mass tending to uncouple them. Likewise, sound and vibration isolation is improved (at the expense of handling), in production automobiles, by the use of rubber bushings between the frame and suspension, by any flexibility in the frame or body work, and by the flexibility of the seats.

Unsprung mass and vehicle design Unsprung mass is a consideration in the design of a vehicle's suspension and the materials chosen for its components. Beam axle suspensions, in which wheels on opposite sides are connected as a rigid unit, generally have greater unsprung mass than independent suspension systems, in which the wheels are suspended and allowed to move separately. Heavy components such as the differential can be made part of the sprung mass by connecting them directly to the body (as in a de Dion tube rear suspension). Lightweight materials, such as aluminium, plastic, carbon fiber, and/or hollow components can provide further weight reductions at the expense of greater cost and/or fragility. The term "unsprung mass" was coined by the mathematician Albert Healey of the Dunlop tyre company. He presented one of the first lectures taking a rigid analytical approach to suspension design, "The Tyre as a part of the Suspension System", to the Institution of Automobile Engineers in November 1924. This lecture was published as a 100-page paper. Inboard brakes can significantly reduce unsprung mass, but put more load on half axles and (constant velocity) universal joints, and require space that may not be easily accommodated. If located next to a differential or transaxle, waste heat from the brakes may overheat the differential or vice versa, particularly in hard use, such as racing. They also make anti-dive suspension characteristics harder to achieve because the moment created by braking does not act on the suspension arms. The Chapman strut used the driveshafts as suspension arms, thus requiring only the weight of one component rather than two. Jaguar independent rear suspension (IRS) similarly reduced unsprung mass by replacing the upper wishbone arms of the suspension with the drive shafts, as well as mounting the brakes inboard in some versions. Scooter-type motorcycles use an integrated engine-gearbox-final drive system that pivots as part of the rear suspension and hence is partly unsprung. This arrangement is linked to the use of quite small wheels, further affecting their poor reputation for road-holding.

See also Sprung mass

Notes

External links

Illustrations

Unsprung mass: In this simplified diagram the wheels, tires, and suspension are all part of the vehicle's unsprung weight, with only its one-piece chassis/body constituting its sprung weight
In this simplified diagram the wheels, tires, and suspension are all part of the vehicle's unsprung weight, with only its one-piece chassis/body constituting its sprung weight

Worked examples

Example 1 — a first encounter with Unsprung mass

Start with the simplest possible case. Write down what Unsprung mass claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Unsprung mass before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Unsprung mass ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Unsprung mass

In research
Unsprung mass appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Unsprung mass in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Unsprung mass is common in secondary-school and first-year university syllabi. It links to neighbouring topics Mass, so understanding it makes those chapters shorter.
In everyday life
Look for Unsprung mass outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Unsprung mass in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Unsprung mass means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Unsprung mass out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Unsprung mass in simple terms?

The unsprung mass (colloquially unsprung weight) of a vehicle is the mass of the suspension, wheels or tracks (as applicable), and other components directly connected to them. This contrasts with the sprung mass (or weight) supported by the suspension, which includes the body and other components w…

Why does Unsprung mass matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Unsprung mass?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Unsprung mass.

Tags

  • Mass

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