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Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Formula

GoDiameter of Shaft given Tensile Stress in Shaft Formula

GoDiameter of Shaft given Bending Stress Pure Bending Formula

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Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design. Check FAQs

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

d - Diameter of Shaft on Strength Basis?Mt_shaft - Torsional Moment in Shaft?𝜏 - Torsional Shear Stress in Shaft?π - Archimedes' constant?

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Example

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Here is how the Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion equation looks like with Values.

Here is how the Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion equation looks like with Units.

Here is how the Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion equation looks like.

46.9 = {(16 \cdot \frac{329966.2}{3.1416 \cdot 16.29})}^{\frac{1}{3}}

46.9mm = {(16 \cdot \frac{329966.2N*mm}{3.1416 \cdot 16.29N/mm²})}^{\frac{1}{3}}

46.9 = {(16 \cdot \frac{329966.2}{3.1416 \cdot 16.29})}^{\frac{1}{3}}

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Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Solution

Follow our step by step solution on how to calculate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(16 \cdot \frac{329966.2N*mm}{π \cdot 16.29N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(16 \cdot \frac{329966.2N*mm}{3.1416 \cdot 16.29N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(16 \cdot \frac{329.9662N*m}{3.1416 \cdot 1.6E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(16 \cdot \frac{329.9662}{3.1416 \cdot 1.6E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.0468999983018174m

Next Step Convert to Output's Unit

∴

d = 46.8999983018174mm

LAST Step Rounding Answer

∴

d = 46.9mm

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Formula Elements

Variables

Constants

Diameter of Shaft on Strength Basis

Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft on Strength Basis

Torsional Moment in Shaft

Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design.

Symbol: Mt_shaft

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Shaft

Torsional Shear Stress in Shaft

Torsional Shear Stress in Shaft is the stress developed in a shaft due to twisting or rotational force, affecting its strength and structural integrity.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional 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 to find Diameter of Shaft on Strength Basis

Go Diameter of Shaft given Tensile Stress in Shaft

d = \sqrt{4 \cdot \frac{P ax}{π \cdot σ t}}

Go Diameter of Shaft given Bending Stress Pure Bending

d = {(\frac{32 \cdot M b}{π \cdot σ b})}^{\frac{1}{3}}

Other formulas in Shaft Design on Strength Basis category

Go Tensile Stress in Shaft when it is Subjected to Axial Tensile Force

σ t = 4 \cdot \frac{P ax}{π \cdot d^{2}}

Go Axial Force given Tensile Stress in Shaft

P ax = σ t \cdot π \cdot \frac{d^{2}}{4}

Go Bending Stress in Shaft Pure Bending Moment

σ b = \frac{32 \cdot M b}{π \cdot d^{3}}

Go Bending Moment given Bending Stress Pure Bending

M b = \frac{σ b \cdot π \cdot d^{3}}{32}

How to Evaluate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion evaluator uses Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3) to evaluate the Diameter of Shaft on Strength Basis, Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the diameter of a shaft that can withstand a given torsional shear stress in a shaft under pure torsion, providing a critical design parameter for shaft design on strength basis in mechanical engineering applications. Diameter of Shaft on Strength Basis is denoted by d symbol.

How to evaluate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion using this online evaluator? To use this online evaluator for Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion, enter Torsional Moment in Shaft (Mt_shaft) & Torsional Shear Stress in Shaft (𝜏) and hit the calculate button.

FAQs on Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion

What is the formula to find Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

The formula of Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion is expressed as Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3). Here is an example- 46901.6 = (16*329.9662/(pi*16290000))^(1/3).

How to calculate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

With Torsional Moment in Shaft (Mt_shaft) & Torsional Shear Stress in Shaft (𝜏) we can find Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion using the formula - Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Shaft on Strength Basis?

Here are the different ways to Calculate Diameter of Shaft on Strength Basis-

Diameter of Shaft on Strength Basis=sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
Diameter of Shaft on Strength Basis=((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)

Can the Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion be negative?

No, the Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion, measured in Length cannot be negative.

Which unit is used to measure Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion 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 Torsional Shear Stress in Shaft Pure Torsion can be measured.

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Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Formula

​GoDiameter of Shaft given Tensile Stress in Shaft Formula

​GoDiameter of Shaft given Bending Stress Pure Bending Formula

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Example

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Solution

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Formula Elements

Other Formulas to find Diameter of Shaft on Strength Basis

Other formulas in Shaft Design on Strength Basis category

How to Evaluate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

FAQs on Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion

Variable Name

GoDiameter of Shaft given Tensile Stress in Shaft Formula

GoDiameter of Shaft given Bending Stress Pure Bending Formula