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Total Area of Splines given Torque Transmitting Capacity Formula

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Total Area of Splines is defined as the total area of ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it. Check FAQs

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

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

Total Area of Splines given Torque Transmitting Capacity Example

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

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

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

1233.5165 = \frac{224500}{6.5 \cdot 28}

1233.5165mm² = \frac{224500N*mm}{6.5N/mm² \cdot 28mm}

1233.5165 = \frac{224500}{6.5 \cdot 28}

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Total Area of Splines given Torque Transmitting Capacity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{224500N*mm}{6.5N/mm² \cdot 28mm}

Next Step Convert Units

∴

A = \frac{224.5N*m}{6.5E+6Pa \cdot 0.028m}

Next Step Prepare to Evaluate

∴

A = \frac{224.5}{6.5E+6 \cdot 0.028}

Next Step Evaluate

∴

A = 0.00123351648351648m²

Next Step Convert to Output's Unit

∴

A = 1233.51648351648mm²

LAST Step Rounding Answer

∴

A = 1233.5165mm²

Total Area of Splines given Torque Transmitting Capacity Formula Elements

Variables

Total Area of Splines

Total Area of Splines is defined as the total area of ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Total Area of Splines

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

Mean Radius of Spline of Shaft

Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.

Symbol: R_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius of Spline of Shaft

Other Formulas to find Total Area of Splines

Go Total Area of Splines

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

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 Mean Radius of Splines given Torque Transmitting Capacity

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

Go Mean Radius of Splines

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

How to Evaluate Total Area of Splines given Torque Transmitting Capacity?

Total Area of Splines given Torque Transmitting Capacity evaluator uses Total Area of Splines = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft) to evaluate the Total Area of Splines, Total Area of Splines given Torque Transmitting Capacity formula is defined as a measure of the surface area of splines that can transmit a certain amount of torque, which is critical in design applications where rotational motion is involved, such as in gear systems and power transmission mechanisms. Total Area of Splines is denoted by A symbol.

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

FAQs on Total Area of Splines given Torque Transmitting Capacity

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

The formula of Total Area of Splines given Torque Transmitting Capacity is expressed as Total Area of Splines = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft). Here is an example- 1.2E+9 = 224.5/(5139652*0.028).

How to calculate Total Area of Splines given Torque Transmitting Capacity?

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

What are the other ways to Calculate Total Area of Splines?

Here are the different ways to Calculate Total Area of Splines-

Total Area of Splines=0.5*(Length of Hub on Keyed Shaft*Number of Splines)*(Major Diameter of Spline Key Shaft-Minor Diameter of Spline Key Shaft)

Can the Total Area of Splines given Torque Transmitting Capacity be negative?

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

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

Total Area of Splines given Torque Transmitting Capacity is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Total Area of Splines given Torque Transmitting Capacity can be measured.

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Total Area of Splines given Torque Transmitting Capacity Formula

​GoTotal Area of Splines Formula

Total Area of Splines given Torque Transmitting Capacity Example

Total Area of Splines given Torque Transmitting Capacity Solution

Total Area of Splines given Torque Transmitting Capacity Formula Elements

Other Formulas to find Total Area of Splines

Other formulas in Design of Splines category

How to Evaluate Total Area of Splines given Torque Transmitting Capacity?

FAQs on Total Area of Splines given Torque Transmitting Capacity

Variable Name

GoTotal Area of Splines Formula