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Diameter of shaft given torque transmitted by shaft Formula

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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. Check FAQs

d s = {(\frac{16 \cdot T shaft}{π \cdot 𝜏})}^{\frac{1}{3}}

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

Diameter of shaft given torque transmitted by shaft Example

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Here is how the Diameter of shaft given torque transmitted by shaft equation looks like with Values.

Here is how the Diameter of shaft given torque transmitted by shaft equation looks like with Units.

Here is how the Diameter of shaft given torque transmitted by shaft equation looks like.

50.308 = {(\frac{16 \cdot 50}{3.1416 \cdot 2})}^{\frac{1}{3}}

50.308mm = {(\frac{16 \cdot 50N*m}{3.1416 \cdot 2MPa})}^{\frac{1}{3}}

50.308 = {(\frac{16 \cdot 50}{3.1416 \cdot 2})}^{\frac{1}{3}}

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Diameter of shaft given torque transmitted by shaft Solution

Follow our step by step solution on how to calculate Diameter of shaft given torque transmitted by shaft?

FIRST Step Consider the formula

d s = {(\frac{16 \cdot T shaft}{π \cdot 𝜏})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d s = {(\frac{16 \cdot 50N*m}{π \cdot 2MPa})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d s = {(\frac{16 \cdot 50N*m}{3.1416 \cdot 2MPa})}^{\frac{1}{3}}

Next Step Convert Units

∴

d s = {(\frac{16 \cdot 50N*m}{3.1416 \cdot 2E+6Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d s = {(\frac{16 \cdot 50}{3.1416 \cdot 2E+6})}^{\frac{1}{3}}

Next Step Evaluate

∴

d s = 0.0503079599160436m

Next Step Convert to Output's Unit

∴

d s = 50.3079599160436mm

LAST Step Rounding Answer

∴

d s = 50.308mm

Diameter of shaft given torque transmitted by shaft Formula Elements

Variables

Constants

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

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

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 Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft evaluator uses Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3) to evaluate the Diameter of Shaft, Diameter of shaft given torque transmitted by shaft formula is defined as the diameter of a shaft in a flanged coupling system, which is a critical parameter in mechanical engineering that affects the shaft's ability to transmit torque efficiently and withstand stress. Diameter of Shaft is denoted by d_s symbol.

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

FAQs on Diameter of shaft given torque transmitted by shaft

What is the formula to find Diameter of shaft given torque transmitted by shaft?

The formula of Diameter of shaft given torque transmitted by shaft is expressed as Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3). Here is an example- 50307.96 = ((16*50)/(pi*2000000))^(1/3).

How to calculate Diameter of shaft given torque transmitted by shaft?

With Torque Transmitted by Shaft (T_shaft) & Shear Stress in Shaft (𝜏) we can find Diameter of shaft given torque transmitted by shaft using the formula - Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3). This formula also uses Archimedes' constant .

Can the Diameter of shaft given torque transmitted by shaft be negative?

No, the Diameter of shaft given torque transmitted by shaft, measured in Length cannot be negative.

Which unit is used to measure Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of shaft given torque transmitted by shaft can be measured.

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Diameter of shaft given torque transmitted by shaft Formula

Diameter of shaft given torque transmitted by shaft Example

Diameter of shaft given torque transmitted by shaft Solution

Diameter of shaft given torque transmitted by shaft Formula Elements

Other formulas in Flanged Coupling category

How to Evaluate Diameter of shaft given torque transmitted by shaft?

FAQs on Diameter of shaft given torque transmitted by shaft

Variable Name