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Permissible Pressure on Splines given Torque Transmitting Capacity Formula

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

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

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

Permissible Pressure on Splines given Torque Transmitting Capacity Example

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Here is how the Permissible Pressure on Splines given Torque Transmitting Capacity equation looks like with Values.

Here is how the Permissible Pressure on Splines given Torque Transmitting Capacity equation looks like with Units.

Here is how the Permissible Pressure on Splines given Torque Transmitting Capacity equation looks like.

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

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

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

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Permissible Pressure on Splines given Torque Transmitting Capacity Solution

Follow our step by step solution on how to calculate Permissible Pressure on Splines given Torque Transmitting Capacity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p m = \frac{224500N*mm}{1560mm² \cdot 28mm}

Next Step Convert Units

∴

p m = \frac{224.5N*m}{0.0016m² \cdot 0.028m}

Next Step Prepare to Evaluate

∴

p m = \frac{224.5}{0.0016 \cdot 0.028}

Next Step Evaluate

∴

p m = 5139652.01465201Pa

Next Step Convert to Output's Unit

∴

p m = 5.13965201465201N/mm²

LAST Step Rounding Answer

∴

p m = 5.1397N/mm²

Permissible Pressure on Splines given Torque Transmitting Capacity Formula Elements

Variables

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

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

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

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

Other formulas in Design of Splines category

Go Torque Transmitting Capacity of Splines

M t = p m \cdot 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 Permissible Pressure on Splines given Torque Transmitting Capacity?

Permissible Pressure on Splines given Torque Transmitting Capacity evaluator uses Permissible Pressure on Splines = Transmitted Torque by Keyed Shaft/(Total Area of Splines*Mean Radius of Spline of Shaft) to evaluate the Permissible Pressure on Splines, Permissible Pressure on Splines given Torque Transmitting Capacity formula is defined as the maximum pressure that can be applied to a spline without causing damage, taking into account the torque transmitting capacity, spline area, and mean radius, ensuring safe and efficient power transmission in mechanical systems. Permissible Pressure on Splines is denoted by p_m symbol.

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

FAQs on Permissible Pressure on Splines given Torque Transmitting Capacity

What is the formula to find Permissible Pressure on Splines given Torque Transmitting Capacity?

The formula of Permissible Pressure on Splines given Torque Transmitting Capacity is expressed as Permissible Pressure on Splines = Transmitted Torque by Keyed Shaft/(Total Area of Splines*Mean Radius of Spline of Shaft). Here is an example- 5.1E-6 = 224.5/(0.00156*0.028).

How to calculate Permissible Pressure on Splines given Torque Transmitting Capacity?

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

Can the Permissible Pressure on Splines given Torque Transmitting Capacity be negative?

No, the Permissible Pressure on Splines given Torque Transmitting Capacity, measured in Pressure cannot be negative.

Which unit is used to measure Permissible Pressure on Splines given Torque Transmitting Capacity?

Permissible Pressure on Splines given Torque Transmitting Capacity is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Permissible Pressure on Splines given Torque Transmitting Capacity can be measured.

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Permissible Pressure on Splines given Torque Transmitting Capacity Formula

Permissible Pressure on Splines given Torque Transmitting Capacity Example

Permissible Pressure on Splines given Torque Transmitting Capacity Solution

Permissible Pressure on Splines given Torque Transmitting Capacity Formula Elements

Other formulas in Design of Splines category

How to Evaluate Permissible Pressure on Splines given Torque Transmitting Capacity?

FAQs on Permissible Pressure on Splines given Torque Transmitting Capacity

Variable Name