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Torque transmitted by shaft Formula

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The Torque Transmitted by Shaft is the rotational force transferred through a shaft in a flanged coupling, essential for efficient power transmission in mechanical systems. Check FAQs

T shaft = \frac{π \cdot 𝜏 \cdot {d s}^{3}}{16}

T_shaft - Torque Transmitted by Shaft?𝜏 - Shear Stress in Shaft?d_s - Diameter of Shaft?π - Archimedes' constant?

Torque transmitted by shaft Example

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Here is how the Torque transmitted by shaft equation looks like with Values.

Here is how the Torque transmitted by shaft equation looks like with Units.

Here is how the Torque transmitted by shaft equation looks like.

49.9763 = \frac{3.1416 \cdot 2 \cdot {50.3}^{3}}{16}

49.9763N*m = \frac{3.1416 \cdot 2MPa \cdot {50.3mm}^{3}}{16}

49.9763 = \frac{3.1416 \cdot 2 \cdot {50.3}^{3}}{16}

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Torque transmitted by shaft Solution

Follow our step by step solution on how to calculate Torque transmitted by shaft?

FIRST Step Consider the formula

T shaft = \frac{π \cdot 𝜏 \cdot {d s}^{3}}{16}

Next Step Substitute values of Variables

∴

T shaft = \frac{π \cdot 2MPa \cdot {50.3mm}^{3}}{16}

Next Step Substitute values of Constants

∴

T shaft = \frac{3.1416 \cdot 2MPa \cdot {50.3mm}^{3}}{16}

Next Step Convert Units

∴

T shaft = \frac{3.1416 \cdot 2E+6Pa \cdot {0.0503m}^{3}}{16}

Next Step Prepare to Evaluate

∴

T shaft = \frac{3.1416 \cdot 2E+6 \cdot {0.0503}^{3}}{16}

Next Step Evaluate

∴

T shaft = 49.9762701866408N*m

LAST Step Rounding Answer

∴

T shaft = 49.9763N*m

Torque transmitted by shaft Formula Elements

Variables

Constants

Torque Transmitted by Shaft

The Torque Transmitted by Shaft is the rotational force transferred through a shaft in a flanged coupling, essential for efficient power transmission in mechanical systems.

Symbol: T_shaft

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Shaft

Shear Stress in Shaft

The Shear Stress in Shaft is the internal force per unit area acting parallel to the shaft's cross-section, crucial for assessing the strength and stability of flanged couplings.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in Shaft

Diameter of Shaft

The Diameter of Shaft is the measurement across the widest part of the shaft, crucial for ensuring proper fit and function in flanged coupling applications.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Flanged Coupling category

Go Maximum amount of load that can be resisted by one bolt

W = \frac{f s \cdot π \cdot {d bolt}^{2}}{4}

Go Shear Stress in Bolt using Maximum Load that can be Resisted by One Bolt

f s = \frac{4 \cdot W}{π \cdot ({d bolt}^{2})}

Go Diameter of bolt given maximum load that can be resisted by one bolt

d bolt = \sqrt{\frac{4 \cdot W}{π \cdot f s}}

Go Torque Resisted by One Bolt using Load Resisted by One Bolt

T bolt = W \cdot \frac{d pitch}{2}

How to Evaluate Torque transmitted by shaft?

Torque transmitted by shaft evaluator uses Torque Transmitted by Shaft = (pi*Shear Stress in Shaft*Diameter of Shaft^3)/16 to evaluate the Torque Transmitted by Shaft, Torque transmitted by shaft is the measure of the force that can cause an object to rotate about an axis. Torque Transmitted by Shaft is denoted by T_shaft symbol.

How to evaluate Torque transmitted by shaft using this online evaluator? To use this online evaluator for Torque transmitted by shaft, enter Shear Stress in Shaft (𝜏) & Diameter of Shaft (d_s) and hit the calculate button.

FAQs on Torque transmitted by shaft

What is the formula to find Torque transmitted by shaft?

The formula of Torque transmitted by shaft is expressed as Torque Transmitted by Shaft = (pi*Shear Stress in Shaft*Diameter of Shaft^3)/16. Here is an example- 678584 = (pi*2000000*0.0503^3)/16.

How to calculate Torque transmitted by shaft?

With Shear Stress in Shaft (𝜏) & Diameter of Shaft (d_s) we can find Torque transmitted by shaft using the formula - Torque Transmitted by Shaft = (pi*Shear Stress in Shaft*Diameter of Shaft^3)/16. This formula also uses Archimedes' constant .

Can the Torque transmitted by shaft be negative?

No, the Torque transmitted by shaft, measured in Torque cannot be negative.

Which unit is used to measure Torque transmitted by shaft?

Torque transmitted by shaft is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Torque transmitted by shaft can be measured.

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Torque transmitted by shaft Formula

Torque transmitted by shaft Example

Torque transmitted by shaft Solution

Torque transmitted by shaft Formula Elements

Other formulas in Flanged Coupling category

How to Evaluate Torque transmitted by shaft?

FAQs on Torque transmitted by shaft

Variable Name