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Axial Force given Tensile Stress in Shaft Formula

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

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

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

Axial Force given Tensile Stress in Shaft Example

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Here is how the Axial Force given Tensile Stress in Shaft equation looks like with Values.

Here is how the Axial Force given Tensile Stress in Shaft equation looks like with Units.

Here is how the Axial Force given Tensile Stress in Shaft equation looks like.

125767.0708 = 72.8 \cdot 3.1416 \cdot \frac{{46.9}^{2}}{4}

125767.0708N = 72.8N/mm² \cdot 3.1416 \cdot \frac{{46.9mm}^{2}}{4}

125767.0708 = 72.8 \cdot 3.1416 \cdot \frac{{46.9}^{2}}{4}

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Axial Force given Tensile Stress in Shaft Solution

Follow our step by step solution on how to calculate Axial Force given Tensile Stress in Shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P ax = 72.8N/mm² \cdot π \cdot \frac{{46.9mm}^{2}}{4}

Next Step Substitute values of Constants

∴

P ax = 72.8N/mm² \cdot 3.1416 \cdot \frac{{46.9mm}^{2}}{4}

Next Step Convert Units

∴

P ax = 7.3E+7Pa \cdot 3.1416 \cdot \frac{{0.0469m}^{2}}{4}

Next Step Prepare to Evaluate

∴

P ax = 7.3E+7 \cdot 3.1416 \cdot \frac{{0.0469}^{2}}{4}

Next Step Evaluate

∴

P ax = 125767.07082508N

LAST Step Rounding Answer

∴

P ax = 125767.0708N

Axial Force given Tensile Stress in Shaft Formula Elements

Variables

Constants

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

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

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 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 Diameter of Shaft given Tensile Stress in Shaft

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

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 Axial Force given Tensile Stress in Shaft?

Axial Force given Tensile Stress in Shaft evaluator uses Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4 to evaluate the Axial Force on Shaft, Axial Force given Tensile Stress in Shaft formula is defined as a measure of the force exerted along the longitudinal axis of a shaft, which is essential in shaft design to ensure the shaft can withstand the stress and load without failing, thereby preventing damage to the machine or its components. Axial Force on Shaft is denoted by P_ax symbol.

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

FAQs on Axial Force given Tensile Stress in Shaft

What is the formula to find Axial Force given Tensile Stress in Shaft?

The formula of Axial Force given Tensile Stress in Shaft is expressed as Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4. Here is an example- 125767.1 = 72800000*pi*(0.0469^2)/4.

How to calculate Axial Force given Tensile Stress in Shaft?

With Tensile Stress in Shaft (σ_t) & Diameter of Shaft on Strength Basis (d) we can find Axial Force given Tensile Stress in Shaft using the formula - Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4. This formula also uses Archimedes' constant .

Can the Axial Force given Tensile Stress in Shaft be negative?

No, the Axial Force given Tensile Stress in Shaft, measured in Force cannot be negative.

Which unit is used to measure Axial Force given Tensile Stress in Shaft?

Axial Force given Tensile Stress in Shaft is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Axial Force given Tensile Stress in Shaft can be measured.

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Axial Force given Tensile Stress in Shaft Formula

Axial Force given Tensile Stress in Shaft Example

Axial Force given Tensile Stress in Shaft Solution

Axial Force given Tensile Stress in Shaft Formula Elements

Other formulas in Shaft Design on Strength Basis category

How to Evaluate Axial Force given Tensile Stress in Shaft?

FAQs on Axial Force given Tensile Stress in Shaft

Variable Name