Resultant Force on Gear Calculator

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Design of Gears

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Design of Spur Gears

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✖Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..ⓘ Tangential Force on Spur Gear [P_t]			+10% -10%
✖Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.ⓘ Pressure Angle of Spur Gear [Φ]			+10% -10%

✖Resultant Force on Spur Gear is the net force acting onto a spur gear.ⓘ Resultant Force on Gear [P_res]

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Formula

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Resultant Force on Gear

Formula

`"P"_{"res"} = "P"_{"t"}/cos("Φ")`

Example

`"1104.884N"="952N"/cos("30.5°")`

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Download Design of Spur Gears Formulas PDF

Resultant Force on Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
P_res = P_t/cos(Φ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Resultant Force on Spur Gear - (Measured in Newton) - Resultant Force on Spur Gear is the net force acting onto a spur gear.
Tangential Force on Spur Gear - (Measured in Newton) - Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..
Pressure Angle of Spur Gear - (Measured in Radian) - Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

STEP 1: Convert Input(s) to Base Unit

Tangential Force on Spur Gear: 952 Newton --> 952 Newton No Conversion Required
Pressure Angle of Spur Gear: 30.5 Degree --> 0.53232542185817 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_res = P_t/cos(Φ) --> 952/cos(0.53232542185817)

Evaluating ... ...

P_res = 1104.88368280399

STEP 3: Convert Result to Output's Unit

1104.88368280399 Newton --> No Conversion Required

FINAL ANSWER

1104.88368280399 ≈ 1104.884 Newton <-- Resultant Force on Spur Gear

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears

Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Resultant Force on Gear

Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)

Radial Force of Gear given Tangential Force and Pressure Angle

Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Pitch Circle Diameter of holes of Medium Size Gear

Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2

Diameter of Holes in Gear Web of Medium Size Diameter

Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4

Inner Diameter of Rim of Large Size Gear

Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Addendum Circle Diameter of Medium Size Gear Diameter given Addendum

Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)

Tangential Force on Gear given Torque and Pitch Circle Diameter

Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Medium Size Gear given Dedundum

Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Large Size Gear

Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)

Addendum Circle Diameter of Large Size Gear

Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)

Pitch Circle Diameter of Gear given Module and Number of Teeth

Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Maximum Torque of Gear given Service Factor

Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear

Service Factor for Gear given Torque

Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear

Gear Ratio given Number of Teeth

Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion

Gear Ratio given Speed

Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Outer Diameter of Hub of Large Size Gear

Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft

Thickness of Rim of Large Size Gear

Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Resultant Force on Gear Formula

Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
P_res = P_t/cos(Φ)

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Resultant Force on Gear?

Resultant Force on Gear calculator uses Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear) to calculate the Resultant Force on Spur Gear, Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle. Resultant Force on Spur Gear is denoted by P_res symbol.

How to calculate Resultant Force on Gear using this online calculator? To use this online calculator for Resultant Force on Gear, enter Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ) and hit the calculate button. Here is how the Resultant Force on Gear calculation can be explained with given input values -> 1104.884 = 952/cos(0.53232542185817).

FAQ

What is Resultant Force on Gear?

Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle and is represented as P_res = P_t/cos(Φ) or Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear). Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference & Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

How to calculate Resultant Force on Gear?

Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle is calculated using Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear). To calculate Resultant Force on Gear, you need Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ). With our tool, you need to enter the respective value for Tangential Force on Spur Gear & Pressure Angle of Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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