# Bevel and Miter Gears Information

Bevel gears are gears designed to transmit motion between intersecting axes. Perpendicular arrangements are most common, but bevel gears can be manufactured for nearly any angle. The teeth bearing surface of the gear, or surface pitch, is conically shaped or tapered.

Miter gears are bevel gears manufactured in a 1:1 ratio, with the same number of teeth on mating gears and with perpendicular axes.

The axes of the gears intersect at point 0. Image credit: Wikimedia

How Bevel Gears Work Video credit: drizzo95 via Youtube

## Types of Bevel Gears

Teeth alignment of bevel gears include straight, spiral, hypoid and crown configurations.

 Straight bevel gears are similar to spur gears, yet have teeth narrowing towards the apex. Straight bevel gears can be noisy due to the abrupt contact between meshing gear teeth Straight bevel gear Image credit: How Stuff Works Spiral bevel gears are similar to helical gears with angled teeth allowing incremental interlock between gears, resulting in quieter operation. Spiral bevel gears with teeth angled are 0° are known as zerol bevel gears. Spiral bevel gear Image credit: Wikimedia Hypoid bevel gears are analogous to spiral bevel gears but the mating gears do not have intersecting axes. This allows for a larger pinion and smoother engagement. Hypoid bevel gear Image credit: Shute-Upton Crown bevel gears have pitch angles of 90°, parallel with the axis. The teeth resemble points on a crown. Crown bevel gear Image credit: Slot Pro Speedway

## Selecting Bevel Gears

### Dimension Specifications of Bevel Gears

Gears mate via teeth with very specific geometry. Pitch is a measure of tooth spacing and is expressed in several ways.

• Diametral pitch (DP) is the ratio of the number of teeth to the pitch diameter of a gear; a higher DP therefore indicates finer tooth spacing. It is easily calculated by the formula DP= (N+2) ÷ OD, where N is the number of teeth, and OD represents the circumferential measurement.
• Circular pitch (CP) is a direct measurement of the distance from one tooth center to the adjacent tooth center. It can be measured by the formula CP= Π ÷ DP.
• Module (M) is a typical gear discipline and is a measurement of the size and teeth number of the gear. Gears measured in inches earn 'English module' distinction to prevent confusion. M = OD ÷ N
• Pressure angle is the angle of tooth drive action, or the angle between the line of force between meshing teeth and the tangent to the pitch circle at the point of mesh. Typical pressure angles are 14.5° or 20°.
• Helix angle is the angle at which the gear teeth are aligned compared to the axis.

Selection tip: Gears must have the same pitch and pressure angle in order to mesh. In addition, spiral bevel and hypoid bevel gears must be of opposite-hand teeth orientation to mesh.

Gear vernacular identified Image credit: QTC Gears

Helix vernacular identified Image credit: Wikimedia

### Mounting Specifications

Consider the gear center, bore diameter and shaft diameter. The gear center can be bored or an integral shaft. The bore diameter is the diameter of the center hole. The shaft diameter is the diameter of the shaft for gears with an integral shaft. Bevel gears can be mounted on a hub or shaft. A hub is a cylindrical projection on one side of a bevel gear, often for the provision of a screw or other shaft attachment mechanism. Hubless gears are typically attached via press fit, adhesive or internal keyway.

Shaft mounting choices include the following:

 Keyway: One or more square cutouts exist in the gear bore for exact mounting on the shaft. Image credit: Gaes Set Screw: The gear is attached to the shaft by screws through the hub. Image credit: RP Machtronics Hub Clamping Screws: The gear is attached with a screw that squeezes the inner diameter of the hub to a tight fit around the shaft. Image credit: RP Machtronics Split: The hub is split into several pieces that are tightened down by a separate clamp to grip the shaft. Image credit: SDP/SI Simple Bore: A straight bore designed for adhesive attachment. Image credit: QTC

### Applications

Application requirements should be considered with the workload and environment of the gear set in mind.

• Power, velocity and torque consistency and output peaks of the gear drive so the gear meets mechanical requirements.
• Inertia of the gear through acceleration and deceleration. Heavier gears can be harder to stop or reverse.
• Precision requirement of gear, including gear pitch, shaft diameter, pressure angle and tooth layout.
• Handedness (left or right teeth angles) for spiral and hypoid bevel gears.
• Gear lubrication requirements. Some gears require lubrication for smooth, temperate operation.
• Mounting requirements. Application may limit the gear's shaft positioning.
• Noise limitation. Commercial applications may value a smooth, quietly meshing gear.
• Corrosive environments. Gears exposed to weather or chemicals should be especially hardened or protected.
• Temperature exposure. Some gears may warp or become brittle in the face of extreme temperatures.
• Vibration and shock resistance. Heavy machine loads or backlash, the deliberate surplus space in the circular pitch, may jostle gearing.

• Operation disruption resistance. It may be necessary for some gear sets to function despite missing teeth or misalignment.

### Bevel Gear Materials

Gear composition is determined by application, including the gear's service, rotation speed, accuracy and more.

• Cast iron provides durability and ease of manufacture.
• Alloy steel provides superior durability and corrosion resistance. Minerals may be added to the alloy to further harden the gear.
• Cast steel provides easier fabrication, strong working loads and vibration resistance.
• Carbon steels are inexpensive and strong, but are susceptible to corrosion.
• Aluminum is used when low gear inertia with some resiliency is required.
• Brass is inexpensive, easy to mold and corrosion resistant.
• Copper is easily shaped, conductive and corrosion resistant. The gear's strength would increase if bronzed.
• Plastic is inexpensive, corrosion resistant, quiet operationally and can overcome missing teeth or misalignment. Plastic is less robust than metal and is vulnerable to temperature changes and chemicals. Acetal, delrin, nylon, and polycarbonate plastics are common.
• Other material types like wood may be suitable for individual applications.

## Resources

Stahl Gear - Bevel

Wikipedia - Bevel gear

How Stuff Works - Gears

Roy Mech - Bevel Gears

Miter gears Image credit: Beam-wiki | Straight bevel gears Image credit: Wikimedia

## Related Products & Services

• Gears

Gears are rotating mechanical devices employing 'teeth' in order to transmit torque between separate axes. Two or more cooperating gears are called a transmission and can produce a mechanical advantage by changing speed, torque or rotation direction.

• Helical Gears

Helical gears are cylindrilical gears whose teeth are not parallel to the axis of rotation. The teeth are angled and appear as a segment of a helix. Helical gears can transmit power between parallel or right angle axes.

• Hypoid Gears

A hypoid gear is a style of spiral bevel gear whose main variance is that the mating gears' axes do not intersect. The hypoid gear is offset from the gear center, allowing unique configurations and a large diameter shaft. The teeth on a hypoid gear are helical, and the pitch surface is best described as a hyperboloid. A hypoid gear can be considered a cross between a bevel gear and a worm drive.

• Metric Gears

Metric gears are defined by module, which designates the center-to-center distance between successive teeth. This criteria of gear selection is used in countries which have adopted the metric system and is intended to standardize gear selection.

• Rack and Pinion Gears

Rack and pinion gears are used to convert rotation into linear motion.

• Spur Gears

Spur gears are the simplest type of gear. Transmitting power between parallel axes, the teeth project radially on the disc.

• Worms and Worm Gears

Worms and worm gears are gear sets that offer high gear reduction and torque multiplication with a small footprint. A worm drive is a cylindrical gear with a shallow spiral thread that engages the worm gear in a non-intersecting, perpendicular axes configuration.