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Axial Tensile Force given Tensile Stress in Hollow Shaft Formula

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Axial Force on Hollow Shaft is defined as the compression or tension force acting on a hollow shaft. Check FAQs

P ax hollow = σ tp \cdot \frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})

P_{ax hollow} - Axial Force on Hollow Shaft?σ_tp - Tensile Stress in Hollow Shaft?d_o - Outer Diameter of Hollow Shaft?d_i - Inner Diameter of Hollow Shaft?π - Archimedes' constant?

Axial Tensile Force given Tensile Stress in Hollow Shaft Example

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

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

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

25982.542 = 55.6 \cdot \frac{3.1416}{4} \cdot (46^{2} - 39^{2})

25982.542N = 55.6N/mm² \cdot \frac{3.1416}{4} \cdot ({46mm}^{2} - {39mm}^{2})

25982.542 = 55.6 \cdot \frac{3.1416}{4} \cdot (46^{2} - 39^{2})

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Axial Tensile Force given Tensile Stress in Hollow Shaft Solution

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

FIRST Step Consider the formula

P ax hollow = σ tp \cdot \frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})

Next Step Substitute values of Variables

∴

P ax hollow = 55.6N/mm² \cdot \frac{π}{4} \cdot ({46mm}^{2} - {39mm}^{2})

Next Step Substitute values of Constants

∴

P ax hollow = 55.6N/mm² \cdot \frac{3.1416}{4} \cdot ({46mm}^{2} - {39mm}^{2})

Next Step Convert Units

∴

P ax hollow = 5.6E+7Pa \cdot \frac{3.1416}{4} \cdot ({0.046m}^{2} - {0.039m}^{2})

Next Step Prepare to Evaluate

∴

P ax hollow = 5.6E+7 \cdot \frac{3.1416}{4} \cdot ({0.046}^{2} - {0.039}^{2})

Next Step Evaluate

∴

P ax hollow = 25982.5420415144N

LAST Step Rounding Answer

∴

P ax hollow = 25982.542N

Axial Tensile Force given Tensile Stress in Hollow Shaft Formula Elements

Variables

Constants

Axial Force on Hollow Shaft

Axial Force on Hollow Shaft is defined as the compression or tension force acting on a hollow shaft.

Symbol: P_{ax hollow}

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Force on Hollow Shaft

Tensile Stress in Hollow Shaft

Tensile Stress in Hollow Shaft is stress that ensures that the stresses developed in a hollow shaft due to service loads do not exceed the elastic limit.

Symbol: σ_tp

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress in Hollow Shaft

Outer Diameter of Hollow Shaft

Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Shaft

Inner Diameter of Hollow Shaft

Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the hollow shaft.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Hollow 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 Design of Hollow Shaft category

Go Ratio of Inner Diameter to Outer Diameter

C = \frac{d i}{d o}

Go Inner Diameter of Hollow Shaft given Ratio of Diameters

d i = C \cdot d o

Go Outer Diameter given Ratio of Diameters

d o = \frac{d i}{C}

Go Tensile Stress in Hollow Shaft when Subjected to Axial Force

σ tp = \frac{P ax hollow}{\frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})}

How to Evaluate Axial Tensile Force given Tensile Stress in Hollow Shaft?

Axial Tensile Force given Tensile Stress in Hollow Shaft evaluator uses Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2) to evaluate the Axial Force on Hollow Shaft, Axial Tensile Force given Tensile Stress in Hollow Shaft formula is defined as the maximum amount of tensile force that a hollow shaft can withstand without undergoing deformation, which is crucial in designing hollow shafts to ensure their structural integrity and reliability in various mechanical applications. Axial Force on Hollow Shaft is denoted by P_{ax hollow} symbol.

How to evaluate Axial Tensile Force given Tensile Stress in Hollow Shaft using this online evaluator? To use this online evaluator for Axial Tensile Force given Tensile Stress in Hollow Shaft, enter Tensile Stress in Hollow Shaft (σ_tp), Outer Diameter of Hollow Shaft (d_o) & Inner Diameter of Hollow Shaft (d_i) and hit the calculate button.

FAQs on Axial Tensile Force given Tensile Stress in Hollow Shaft

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

The formula of Axial Tensile Force given Tensile Stress in Hollow Shaft is expressed as Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2). Here is an example- 25982.54 = 55600000*pi/4*(0.046^2-0.039^2).

How to calculate Axial Tensile Force given Tensile Stress in Hollow Shaft?

With Tensile Stress in Hollow Shaft (σ_tp), Outer Diameter of Hollow Shaft (d_o) & Inner Diameter of Hollow Shaft (d_i) we can find Axial Tensile Force given Tensile Stress in Hollow Shaft using the formula - Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2). This formula also uses Archimedes' constant .

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

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

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

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

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Axial Tensile Force given Tensile Stress in Hollow Shaft Formula

Axial Tensile Force given Tensile Stress in Hollow Shaft Example

Axial Tensile Force given Tensile Stress in Hollow Shaft Solution

Axial Tensile Force given Tensile Stress in Hollow Shaft Formula Elements

Other formulas in Design of Hollow Shaft category

How to Evaluate Axial Tensile Force given Tensile Stress in Hollow Shaft?

FAQs on Axial Tensile Force given Tensile Stress in Hollow Shaft

Variable Name