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Spiral bevel gear

Spiral bevel gear 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 Spiral bevel gear rather than just read about it. In short: A spiral bevel gear is a bevel gear with helical teeth. The main application of this is in a vehicle differential, where the direction of drive from the drive shaft must be turned 90 degrees to drive the wheels.

Spiral bevel gear — main illustration
Spiral bevel gear — illustration

Key takeaways

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

Reference excerpt

A spiral bevel gear is a bevel gear with helical teeth. The main application of this is in a vehicle differential, where the direction of drive from the drive shaft must be turned 90 degrees to drive the wheels. The helical design produces less vibration and noise than conventional straight-cut or spur-cut gear with straight teeth. A spiral bevel gear set should always be replaced in pairs i.e. both the left hand and right hand gears should be replaced together since the gears are manufactured and lapped in pairs.

Handedness

A right hand spiral bevel gear is one in which the outer half of a tooth is inclined in the clockwise direction from the axial plane through the midpoint of the tooth as viewed by an observer looking at the face of the gear. A left hand spiral bevel gear is one in which the outer half of a tooth is inclined in the counterclockwise direction from the axial plane through the midpoint of the tooth as viewed by an observer looking at the face of the gear. Note that a spiral bevel gear and pinion are always of opposite hand, including the case when the gear is internal. Also note that the designations right hand and left hand are applied similarly to other types of bevel gear, hypoid gears, and oblique tooth face gears.

Hypoid gears

A hypoid is a type of spiral bevel gear whose axis does not intersect with the axis of the meshing gear. The shape of a hypoid gear is a revolved hyperboloid (that is, the pitch surface of the hypoid gear is a hyperbolic surface), whereas the shape of a spiral bevel gear is normally conical. The hypoid gear places the pinion off-axis to the crown wheel (ring gear) which allows the pinion to be larger in diameter and have more contact area. In hypoid gear design, the pinion and gear are practically always of opposite hand, and the spiral angle of the pinion is usually larger than that of the gear. The hypoid pinion is then larger in diameter than an equivalent bevel pinion. A hypoid gear incorporates some sliding and can be considered halfway between a straight-cut gear and a worm gear. Special gear oils are required for hypoid gears because the sliding action requires effective lubrication under extreme pressure between the teeth. Hypoid gearings are used in power transmission products that are more efficient than conventional worm gearing. They are considerably stronger in that any load is conveyed through multiple teeth simultaneously. By contrast, bevel gears are loaded through one tooth at a time. The multiple contacts of hypoid gearing, with proper lubrication, can be nearly silent, as well.

Hypoid gearboxes Hypoid gearboxes are gearboxes having axes that are non-intersecting and not parallel. The hypoid gearboxes are a subcategory of spiral bevel gearbox with the axes of gears at an offset from one another. In comparison to the conical geometry of a spiral bevel gear, the basic geometry of hypoid gear is hyperbolic. The spiral angle of the pinion is larger than the spiral angle of the gear in a hypoid gearbox, so the pinion diameter can be larger than that of a bevel gear pinion. This helps in attaining an enhanced contact surface and a better tooth strength which allows for higher gear ratios and scope of higher torque transmission. Bearings can also be used on both sides of gears for extra rigidity as the offset between the axes allows the scope for extra support.

Spiral angle

The spiral angle in a spiral bevel gear is the angle between the tooth trace and an element of the pitch cone, and corresponds to the helix angle in helical teeth. Unless otherwise specified, the term spiral angle is understood to be the mean spiral angle.

Mean spiral angle is the specific designation for the spiral angle at the mean cone distance in a bevel gear. Outer spiral angle is the spiral angle of a bevel gear at the outer cone distance. Inner spiral angle is the spiral angle of a bevel gear at the inner cone distance.

Comparison of spiral bevel gears to hypoid gears Hypoid gears are stronger, operate more quietly and can be used for higher reduction ratios, however they also have some sliding action along the teeth, which reduces mechanical efficiency, the energy losses being in the form of heat produced in the gear surfaces and the lubricating fluid. Hypoid gears are typically used in rear-drive automobile drivetrains. A higher hypoid offset allows the gear to transmit higher torque. However increasing the hypoid offset results in reduction of mechanical efficiency and a consequent reduction in fuel economy. For practical purposes, it is often impossible to replace low efficiency hypoid gears with more efficient spiral bevel gears in automotive use because the spiral bevel gear would need a much larger diameter to transmit the same torque. Increasing the size of the drive axle gear would require an increase of the size of the gear housing and a reduction in the ground clearance, interior space, and an increase in weight. The hypoid gear is also commonly used in some railcar transmissions with diesel power units - where the engine and gearbox are similar to those used in traditional trucks and busses (not diesel/electric hybrid type drive). The transmission, to allow the input shaft to always rotate in one specific direction (either clockwise or anti-clockwise) while allowing the output shafts to change their rotational direction; thus allowing a vehicle to drive either direction. Another advantage of hypoid gear is that the ring gear of the differential and the input pinion gear are both hypoid. In most passenger cars this allows the pinion to be offset to the bottom of the crown wheel. This provides for longer tooth contact and allows the shaft that drives the pinion to be lowered, reducing the "hump" intrusion in the passenger compartment floor. However, the greater the displacement of the input shaft axis from the crown wheel axis, the lower the mechanical efficiency.

See also Worm drive List of gear nomenclature Offset (gears)

References

Illustrations

Spiral bevel gear: Spiral bevel gear
Spiral bevel gear
Spiral bevel gear: Spiral bevel handedness
Spiral bevel handedness
Spiral bevel gear: Zerol handedness
Zerol handedness
Spiral bevel gear: Hypoid spiral bevel gears
Hypoid spiral bevel gears
Spiral bevel gear: Spiral angle
Spiral angle

Worked examples

Example 1 — a first encounter with Spiral bevel gear

Start with the simplest possible case. Write down what Spiral bevel gear 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 Spiral bevel gear 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 Spiral bevel gear 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 Spiral bevel gear

In research
Spiral bevel gear 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 Spiral bevel gear 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
Spiral bevel gear is common in secondary-school and first-year university syllabi. It links to neighbouring topics Gears, so understanding it makes those chapters shorter.
In everyday life
Look for Spiral bevel gear 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 Spiral bevel gear in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Spiral bevel gear 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 Spiral bevel gear out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Spiral bevel gear in simple terms?

A spiral bevel gear is a bevel gear with helical teeth. The main application of this is in a vehicle differential, where the direction of drive from the drive shaft must be turned 90 degrees to drive the wheels.

Why does Spiral bevel gear 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 Spiral bevel gear?

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 Spiral bevel gear.

Tags

  • Gears

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