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Torque Transmitting Capacity of Splines given Diameter of Splines Formula

GoTorque Transmitting Capacity of Splines Formula

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Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it. Check FAQs

M t = \frac{p m \cdot l h \cdot n \cdot (D^{2} - d^{2})}{8}

M_t - Transmitted Torque by Keyed Shaft?p_m - Permissible Pressure on Splines?l_h - Length of Hub on Keyed Shaft?n - Number of Splines?D - Major Diameter of Spline Key Shaft?d - Minor Diameter of Spline Key Shaft?

Torque Transmitting Capacity of Splines given Diameter of Splines Example

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Here is how the Torque Transmitting Capacity of Splines given Diameter of Splines equation looks like with Values.

Here is how the Torque Transmitting Capacity of Splines given Diameter of Splines equation looks like with Units.

Here is how the Torque Transmitting Capacity of Splines given Diameter of Splines equation looks like.

283920 = \frac{6.5 \cdot 65 \cdot 6 \cdot (60^{2} - 52^{2})}{8}

283920N*mm = \frac{6.5N/mm² \cdot 65mm \cdot 6 \cdot ({60mm}^{2} - {52mm}^{2})}{8}

283920 = \frac{6.5 \cdot 65 \cdot 6 \cdot (60^{2} - 52^{2})}{8}

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Torque Transmitting Capacity of Splines given Diameter of Splines Solution

Follow our step by step solution on how to calculate Torque Transmitting Capacity of Splines given Diameter of Splines?

FIRST Step Consider the formula

M t = \frac{p m \cdot l h \cdot n \cdot (D^{2} - d^{2})}{8}

Next Step Substitute values of Variables

∴

M t = \frac{6.5N/mm² \cdot 65mm \cdot 6 \cdot ({60mm}^{2} - {52mm}^{2})}{8}

Next Step Convert Units

∴

M t = \frac{6.5E+6Pa \cdot 0.065m \cdot 6 \cdot ({0.06m}^{2} - {0.052m}^{2})}{8}

Next Step Prepare to Evaluate

∴

M t = \frac{6.5E+6 \cdot 0.065 \cdot 6 \cdot ({0.06}^{2} - {0.052}^{2})}{8}

Next Step Evaluate

∴

M t = 283.92N*m

LAST Step Convert to Output's Unit

∴

M t = 283920N*mm

Torque Transmitting Capacity of Splines given Diameter of Splines Formula Elements

Variables

Transmitted Torque by Keyed Shaft

Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Keyed Shaft

Permissible Pressure on Splines

Permissible Pressure on Splines measures the greatest amount of pressure that the splines can bear without failure.

Symbol: p_m

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Permissible Pressure on Splines

Length of Hub on Keyed Shaft

Length of Hub on Keyed Shaft is equal to the length of a hub measured along its central axis.

Symbol: l_h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Hub on Keyed Shaft

Number of Splines

Number of Splines is the total number of splines on a shaft or any machine element.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Splines

Major Diameter of Spline Key Shaft

The Major Diameter of Spline Key Shaft is the outside diameter of the external surface of a spline.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Major Diameter of Spline Key Shaft

Minor Diameter of Spline Key Shaft

Minor Diameter of Spline Key Shaft is the innermost surface of the spline. It is the tip diameter of the internal spline or the root diameter of the external spline.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minor Diameter of Spline Key Shaft

Other Formulas to find Transmitted Torque by Keyed Shaft

Go Torque Transmitting Capacity of Splines

M t = p m \cdot A \cdot R m

Other formulas in Design of Splines category

Go Permissible Pressure on Splines given Torque Transmitting Capacity

p m = \frac{M t}{A \cdot R m}

Go Total Area of Splines given Torque Transmitting Capacity

A = \frac{M t}{p m \cdot R m}

Go Total Area of Splines

A = 0.5 \cdot (l h \cdot n) \cdot (D - d)

Go Mean Radius of Splines given Torque Transmitting Capacity

R m = \frac{M t}{p m \cdot A}

How to Evaluate Torque Transmitting Capacity of Splines given Diameter of Splines?

Torque Transmitting Capacity of Splines given Diameter of Splines evaluator uses Transmitted Torque by Keyed Shaft = (Permissible Pressure on Splines*Length of Hub on Keyed Shaft*Number of Splines*(Major Diameter of Spline Key Shaft^2-Minor Diameter of Spline Key Shaft^2))/8 to evaluate the Transmitted Torque by Keyed Shaft, Torque Transmitting Capacity of Splines given Diameter of Splines formula is defined as the maximum torque that can be transmitted by a spline without failing, which is a critical parameter in the design of splines, as it directly affects the performance and reliability of the mechanical system. Transmitted Torque by Keyed Shaft is denoted by M_t symbol.

How to evaluate Torque Transmitting Capacity of Splines given Diameter of Splines using this online evaluator? To use this online evaluator for Torque Transmitting Capacity of Splines given Diameter of Splines, enter Permissible Pressure on Splines (p_m), Length of Hub on Keyed Shaft (l_h), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaft (d) and hit the calculate button.

FAQs on Torque Transmitting Capacity of Splines given Diameter of Splines

What is the formula to find Torque Transmitting Capacity of Splines given Diameter of Splines?

The formula of Torque Transmitting Capacity of Splines given Diameter of Splines is expressed as Transmitted Torque by Keyed Shaft = (Permissible Pressure on Splines*Length of Hub on Keyed Shaft*Number of Splines*(Major Diameter of Spline Key Shaft^2-Minor Diameter of Spline Key Shaft^2))/8. Here is an example- 2.8E+8 = (5139652*0.065*6*(0.06^2-0.052^2))/8.

How to calculate Torque Transmitting Capacity of Splines given Diameter of Splines?

With Permissible Pressure on Splines (p_m), Length of Hub on Keyed Shaft (l_h), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaft (d) we can find Torque Transmitting Capacity of Splines given Diameter of Splines using the formula - Transmitted Torque by Keyed Shaft = (Permissible Pressure on Splines*Length of Hub on Keyed Shaft*Number of Splines*(Major Diameter of Spline Key Shaft^2-Minor Diameter of Spline Key Shaft^2))/8.

What are the other ways to Calculate Transmitted Torque by Keyed Shaft?

Here are the different ways to Calculate Transmitted Torque by Keyed Shaft-

Transmitted Torque by Keyed Shaft=Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft

Can the Torque Transmitting Capacity of Splines given Diameter of Splines be negative?

No, the Torque Transmitting Capacity of Splines given Diameter of Splines, measured in Torque cannot be negative.

Which unit is used to measure Torque Transmitting Capacity of Splines given Diameter of Splines?

Torque Transmitting Capacity of Splines given Diameter of Splines is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Transmitting Capacity of Splines given Diameter of Splines can be measured.

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Torque Transmitting Capacity of Splines given Diameter of Splines Formula

​GoTorque Transmitting Capacity of Splines Formula

Torque Transmitting Capacity of Splines given Diameter of Splines Example

Torque Transmitting Capacity of Splines given Diameter of Splines Solution

Torque Transmitting Capacity of Splines given Diameter of Splines Formula Elements

Other Formulas to find Transmitted Torque by Keyed Shaft

Other formulas in Design of Splines category

How to Evaluate Torque Transmitting Capacity of Splines given Diameter of Splines?

FAQs on Torque Transmitting Capacity of Splines given Diameter of Splines

Variable Name

GoTorque Transmitting Capacity of Splines Formula