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Mean Radius of Splines given Torque Transmitting Capacity Formula

GoMean Radius of Splines Formula

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The Mean Radius of Spline of Shaft is the average distance from the center of the shaft to the spline surface, influencing the fit and performance of mechanical components. Check FAQs

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

R_m - Mean Radius of Spline of Shaft?M_t - Transmitted Torque by Keyed Shaft?p_m - Permissible Pressure on Splines?A - Total Area of Splines?

Mean Radius of Splines given Torque Transmitting Capacity Example

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

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

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

28 = \frac{224500}{5.1397 \cdot 1560}

28mm = \frac{224500N*mm}{5.1397N/mm² \cdot 1560mm²}

28 = \frac{224500}{5.1397 \cdot 1560}

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Mean Radius of Splines given Torque Transmitting Capacity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R m = \frac{224500N*mm}{5.1397N/mm² \cdot 1560mm²}

Next Step Convert Units

∴

R m = \frac{224.5N*m}{5.1E+6Pa \cdot 0.0016m²}

Next Step Prepare to Evaluate

∴

R m = \frac{224.5}{5.1E+6 \cdot 0.0016}

Next Step Evaluate

∴

R m = 0.0280000000798218m

Next Step Convert to Output's Unit

∴

R m = 28.0000000798218mm

LAST Step Rounding Answer

∴

R m = 28mm

Mean Radius of Splines given Torque Transmitting Capacity Formula Elements

Variables

Mean Radius of Spline of Shaft

The Mean Radius of Spline of Shaft is the average distance from the center of the shaft to the spline surface, influencing the fit and performance of mechanical components.

Symbol: R_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius of Spline of Shaft

Transmitted Torque by Keyed Shaft

The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.

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

The Permissible Pressure on Splines is the maximum pressure that can be safely applied to splines in mechanical designs without causing failure or damage.

Symbol: p_m

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Permissible Pressure on Splines

Total Area of Splines

The Total Area of Splines is the combined surface area of all spline features in a mechanical design, crucial for ensuring proper fit and function in key applications.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Total Area of Splines

Other Formulas to find Mean Radius of Spline of Shaft

Go Mean Radius of Splines

R m = \frac{D + d}{4}

Other formulas in Design of Splines category

Go Torque Transmitting Capacity of Splines

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

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)

How to Evaluate Mean Radius of Splines given Torque Transmitting Capacity?

Mean Radius of Splines given Torque Transmitting Capacity evaluator uses Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines) to evaluate the Mean Radius of Spline of Shaft, Mean Radius of Splines given Torque Transmitting Capacity formula is defined as a measure of the radius of a spline in a mechanical system, which is critical in determining the torque transmitting capacity of the spline, and is essential in the design of splines to ensure efficient power transmission and minimize failure. Mean Radius of Spline of Shaft is denoted by R_m symbol.

How to evaluate Mean Radius of Splines given Torque Transmitting Capacity using this online evaluator? To use this online evaluator for Mean Radius of Splines given Torque Transmitting Capacity, enter Transmitted Torque by Keyed Shaft (M_t), Permissible Pressure on Splines (p_m) & Total Area of Splines (A) and hit the calculate button.

FAQs on Mean Radius of Splines given Torque Transmitting Capacity

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

The formula of Mean Radius of Splines given Torque Transmitting Capacity is expressed as Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines). Here is an example- 22140.04 = 224.5/(5139652*0.00156).

How to calculate Mean Radius of Splines given Torque Transmitting Capacity?

With Transmitted Torque by Keyed Shaft (M_t), Permissible Pressure on Splines (p_m) & Total Area of Splines (A) we can find Mean Radius of Splines given Torque Transmitting Capacity using the formula - Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines).

What are the other ways to Calculate Mean Radius of Spline of Shaft?

Here are the different ways to Calculate Mean Radius of Spline of Shaft-

Mean Radius of Spline of Shaft=(Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaft)/4

Can the Mean Radius of Splines given Torque Transmitting Capacity be negative?

No, the Mean Radius of Splines given Torque Transmitting Capacity, measured in Length cannot be negative.

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

Mean Radius of Splines given Torque Transmitting Capacity is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Radius of Splines given Torque Transmitting Capacity can be measured.

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Mean Radius of Splines given Torque Transmitting Capacity Formula

​GoMean Radius of Splines Formula

Mean Radius of Splines given Torque Transmitting Capacity Example

Mean Radius of Splines given Torque Transmitting Capacity Solution

Mean Radius of Splines given Torque Transmitting Capacity Formula Elements

Other Formulas to find Mean Radius of Spline of Shaft

Other formulas in Design of Splines category

How to Evaluate Mean Radius of Splines given Torque Transmitting Capacity?

FAQs on Mean Radius of Splines given Torque Transmitting Capacity

Variable Name

GoMean Radius of Splines Formula