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Home»Machine Elements»Helical Gears
29 August 2026Updated:14 September 2026

Helical Gears

Information About Helical Gears

This article will cover helical gears in detail. What is a helical gear. How is it made. How does it differ from a spur gear. Advantages of helical gears. Areas of use. We’ll touch on topics such as how a helical gear is manufactured. Here are the topics:

  • Helical Gears
    • Differences Between Helical Gears and Spur Gears
    • Advantages of Helical Gears
    • Where Are Helical Gears Used
    • Areas of Use for Helical Gears
    • Helical Gear Manufacturing Methods
      • Cutting Helical Gear Teeth
    • Helical Gear Formulas
    • Elements of a Helical Gear
      • Calculating Helical Gear Elements
  • Related Questions

Helical Gears

Differences Between Helical Gears and Spur Gears

Spur gears run noisily and with impact. To prevent this impact and noise, gears are made helical instead.

difference between a helical gear and a spur gear

The visual difference between helical gears and spur gears. The teeth are angled instead of being parallel to the shaft axis

While spur gear shafts must always be parallel to each other, helical gears can operate both on parallel shafts and at various other angles.

What is a helical gear? Helical gears are a type of gear and machine element used to transmit motion and force between shafts that are close to each other.

Helical gears outperform spur gears in terms of quiet operation and strength. Helical gears are named right-hand or left-hand helical, based on the direction their teeth are cut.

determining helix direction, right-hand and left-hand helix

Helix direction on gears. When we lay the gear down, if the teeth rise toward the left, it’s called a left-hand helix. If the teeth rise toward the right, it’s called a right-hand helix.

Advantages of Helical Gears

  • They run more quietly and with less impact than spur gears
  • Helical gears are suited to angled motion transmission, which spur gears aren’t capable of.
  • They mesh solidly and transmit motion with smooth engagement
advantage of helical gears, ability to work at an angle

Where Are Helical Gears Used

where helical gears are used, gearbox

Helical gears are generally used in vehicle transmissions. In transmissions, we see that helical gears’ advantages of smooth engagement and lower noise are put to use.

For example, you’ll notice a different sound when you put a car in reverse. This is because the reverse gear in the transmission is a spur gear, not a helical one. (Below)

transmission gear, reverse gear
The reverse gear among the transmission gears.

The reason a vehicle makes more noise in reverse is that the reverse gear in the transmission is a spur gear.

Areas of Use for Helical Gears

where helical gears are used, differential

Example use of helical gears: differential (spiral bevel gears used here)

places where helical gears are used
One of the most common uses of helical gears is in gear reducers.
areas of use for helical gears, gear reducer

Although helical gears are generally used in the gearboxes/transmissions of vehicles or machine tools, the areas where helical gears are used can vary widely depending on the application

where helical gears are used, gear reducer
A gear reducer model prepared with a 3D design program (SolidWorks).
Areas of use for helical gears, example car transmission gear
transmission (gearbox)

A view of the transmission (gearbox) system used in motor vehicles. Here too we see that helical gears are used.

how a manual transmission works

As an example of helical gear applications, you can see how a manual transmission works and its helical gears in the video above.

Helical Gear Manufacturing Methods

The curves of helical gears are formed from cycloidal, involute, hypocycloidal, and epicycloidal curves.

manufacturing a helical gear by hobbing
Manufacturing a helical gear by the hobbing method

Cutting Helical Gear Teeth

  • By casting
  • By machining with module cutters on copy-milling machines
  • By rolling (form rolling)
  • By press forming
  • They are cut by hobbing methods on machines that work by the generating (rolling) method (Maag – Fellows).
manufacturing a helical gear with a module milling cutter
Manufacturing a helical gear with a module milling cutter using a dividing head on a milling machine
manufacturing a helical gear by the hobbing method
Manufacturing a helical gear by hobbing

Helical Gear Formulas

Below is a formula table for helical gears. At the top of the formula table, you can see how the terms in the formulas are represented on a gear drawing (which formula refers to which feature).

formula-table-of-spur-gears
elements of a helical gear

Elements of a Helical Gear

Because helical gears are cut at an angle, as shown in the figure below, when the gear is viewed from the front, the transverse module (Mg) and transverse pitch (ts) are what’s visible. When viewed perpendicular to the teeth, the normal module (Mn) and normal pitch (tn) are what’s seen. The helix angle (β) is generally 20°. When cutting a helical gear, the normal module (Mn) is used.

representation and terminology of a helical gear

The dimensions and terms needed in manufacturing drawings of helical gears. The elements of a helical gear. The helix angle is generally around an average of 20°. The helix direction here is left-handed. When the axis is held perpendicular to the ground, if the angle leans to the left it’s called left-hand helix, if it leans to the right it’s called right-hand helix

Calculating Helical Gear Elements

Sample problem:

A cylindrical helical gear has a turned diameter (Da) of 140.18 mm, a tooth count of 42, and a helix angle of 20°. Find the values of the required elements of the cylindrical helical gear. (Mn, Mg, Da, Do, Df, b)

helical gear problem

In this article, we covered the definition of and information about helical gears. Finding the helix direction on helical gears. The difference between helical gears and spur gears. The advantages of helical gears. Where helical gears are used. The elements and formulas of a helical gear. Calculating helical gear elements. See you in future articles.

Angled Tooth Structure


Helical gears have teeth angled relative to the shaft axis, and run more quietly than spur gears.

Progressive Tooth Contact


Thanks to the helix angle, the teeth engage gradually instead of all at once, reducing impact load.

Generation of Axial Force


The angled structure of helical gears generates an additional axial force on the shaft, which is generally counteracted with special thrust bearings.

Related Questions

In spur gears, a pair of teeth suddenly makes full contact and then suddenly separates, while in helical gears, this contact starts and ends gradually thanks to the angled tooth structure. This smooth transition eliminates the sudden-impact effect seen in spur gears, reducing noise.

The angled tooth structure, unlike spur gears, allows the gears to mesh and work together not only on parallel axes, but also on shafts positioned at specific angles. This flexibility makes helical gears usable in a wider range of mechanical layouts.


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