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Diameter of Shaft given Tensile Stress in Shaft Formula

GoDiameter of Shaft given Bending Stress Pure Bending Formula

GoDiameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion 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 = \sqrt{4 \cdot \frac{P ax}{π \cdot σ t}}

d - Diameter of Shaft on Strength Basis?P_ax - Axial Force on Shaft?σ_t - Tensile Stress in Shaft?π - Archimedes' constant?

Diameter of Shaft given Tensile Stress in Shaft Example

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Here is how the Diameter of Shaft given Tensile Stress in Shaft equation looks like with Values.

Here is how the Diameter of Shaft given Tensile Stress in Shaft equation looks like with Units.

Here is how the Diameter of Shaft given Tensile Stress in Shaft equation looks like.

46.9 = \sqrt{4 \cdot \frac{125767.1}{3.1416 \cdot 72.8}}

46.9mm = \sqrt{4 \cdot \frac{125767.1N}{3.1416 \cdot 72.8N/mm²}}

46.9 = \sqrt{4 \cdot \frac{125767.1}{3.1416 \cdot 72.8}}

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Diameter of Shaft given Tensile Stress in Shaft Solution

Follow our step by step solution on how to calculate Diameter of Shaft given Tensile Stress in Shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{4 \cdot \frac{125767.1N}{π \cdot 72.8N/mm²}}

Next Step Substitute values of Constants

∴

d = \sqrt{4 \cdot \frac{125767.1N}{3.1416 \cdot 72.8N/mm²}}

Next Step Convert Units

∴

d = \sqrt{4 \cdot \frac{125767.1N}{3.1416 \cdot 7.3E+7Pa}}

Next Step Prepare to Evaluate

∴

d = \sqrt{4 \cdot \frac{125767.1}{3.1416 \cdot 7.3E+7}}

Next Step Evaluate

∴

d = 0.0469000054398328m

Next Step Convert to Output's Unit

∴

d = 46.9000054398328mm

LAST Step Rounding Answer

∴

d = 46.9mm

Diameter of Shaft given Tensile Stress in Shaft Formula Elements

Variables

Constants

Functions

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

Axial Force on Shaft

Axial Force on Shaft is the force exerted along the longitudinal axis of the shaft, affecting its strength and stability in shaft design.

Symbol: P_ax

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Force on Shaft

Tensile Stress in Shaft

Tensile Stress in Shaft is the maximum axial stress a shaft can withstand without undergoing deformation or breaking under external loads.

Symbol: σ_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Shaft on Strength Basis

Go Diameter of Shaft given Bending Stress Pure Bending

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

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

d = {(16 \cdot \frac{Mt shaft}{π \cdot 𝜏})}^{\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 Tensile Stress in Shaft?

Diameter of Shaft given Tensile Stress in Shaft evaluator uses Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)) to evaluate the Diameter of Shaft on Strength Basis, Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of a shaft that can withstand a given axial load or tensile stress, providing a safe and reliable design for shafts in mechanical systems, ensuring optimal performance and minimizing the risk of failure. Diameter of Shaft on Strength Basis is denoted by d symbol.

How to evaluate Diameter of Shaft given Tensile Stress in Shaft using this online evaluator? To use this online evaluator for Diameter of Shaft given Tensile Stress in Shaft, enter Axial Force on Shaft (P_ax) & Tensile Stress in Shaft (σ_t) and hit the calculate button.

FAQs on Diameter of Shaft given Tensile Stress in Shaft

What is the formula to find Diameter of Shaft given Tensile Stress in Shaft?

The formula of Diameter of Shaft given Tensile Stress in Shaft is expressed as Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)). Here is an example- 46943.41 = sqrt(4*125767.1/(pi*72800000)).

How to calculate Diameter of Shaft given Tensile Stress in Shaft?

With Axial Force on Shaft (P_ax) & Tensile Stress in Shaft (σ_t) we can find Diameter of Shaft given Tensile Stress in Shaft using the formula - Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)). This formula also uses Archimedes' constant and Square Root Function function(s).

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=((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
Diameter of Shaft on Strength Basis=(16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)

Can the Diameter of Shaft given Tensile Stress in Shaft be negative?

No, the Diameter of Shaft given Tensile Stress in Shaft, measured in Length cannot be negative.

Which unit is used to measure Diameter of Shaft given Tensile Stress in Shaft?

Diameter of Shaft given Tensile Stress in 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 Tensile Stress in Shaft can be measured.

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Diameter of Shaft given Tensile Stress in Shaft Formula

​GoDiameter of Shaft given Bending Stress Pure Bending Formula

​GoDiameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Formula

Diameter of Shaft given Tensile Stress in Shaft Example

Diameter of Shaft given Tensile Stress in Shaft Solution

Diameter of Shaft given Tensile Stress in Shaft 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 Tensile Stress in Shaft?

FAQs on Diameter of Shaft given Tensile Stress in Shaft

Variable Name

GoDiameter of Shaft given Bending Stress Pure Bending Formula

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