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Tensile Stress in Hollow Shaft when Subjected to Axial Force Formula

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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. Check FAQs

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

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

Tensile Stress in Hollow Shaft when Subjected to Axial Force Example

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

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

Here is how the Tensile Stress in Hollow Shaft when Subjected to Axial Force equation looks like.

55.5946 = \frac{25980}{\frac{3.1416}{4} \cdot (46^{2} - 39^{2})}

55.5946N/mm² = \frac{25980N}{\frac{3.1416}{4} \cdot ({46mm}^{2} - {39mm}^{2})}

55.5946 = \frac{25980}{\frac{3.1416}{4} \cdot (46^{2} - 39^{2})}

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Tensile Stress in Hollow Shaft when Subjected to Axial Force Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ tp = \frac{25980N}{\frac{π}{4} \cdot ({46mm}^{2} - {39mm}^{2})}

Next Step Substitute values of Constants

∴

σ tp = \frac{25980N}{\frac{3.1416}{4} \cdot ({46mm}^{2} - {39mm}^{2})}

Next Step Convert Units

∴

σ tp = \frac{25980N}{\frac{3.1416}{4} \cdot ({0.046m}^{2} - {0.039m}^{2})}

Next Step Prepare to Evaluate

∴

σ tp = \frac{25980}{\frac{3.1416}{4} \cdot ({0.046}^{2} - {0.039}^{2})}

Next Step Evaluate

∴

σ tp = 55594560.2894446Pa

Next Step Convert to Output's Unit

∴

σ tp = 55.5945602894446N/mm²

LAST Step Rounding Answer

∴

σ tp = 55.5946N/mm²

Tensile Stress in Hollow Shaft when Subjected to Axial Force Formula Elements

Variables

Constants

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

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

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 Axial Tensile Force given Tensile Stress in Hollow Shaft

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

How to Evaluate Tensile Stress in Hollow Shaft when Subjected to Axial Force?

Tensile Stress in Hollow Shaft when Subjected to Axial Force evaluator uses Tensile Stress in Hollow Shaft = Axial Force on Hollow Shaft/(pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2)) to evaluate the Tensile Stress in Hollow Shaft, Tensile Stress in Hollow Shaft when Subjected to Axial Force formula is defined as a measure of the internal forces that cause deformation in a hollow shaft when it is subjected to an external axial force, providing a critical design consideration in the engineering of hollow shafts. Tensile Stress in Hollow Shaft is denoted by σ_tp symbol.

How to evaluate Tensile Stress in Hollow Shaft when Subjected to Axial Force using this online evaluator? To use this online evaluator for Tensile Stress in Hollow Shaft when Subjected to Axial Force, enter Axial Force on Hollow Shaft (P_{ax hollow}), Outer Diameter of Hollow Shaft (d_o) & Inner Diameter of Hollow Shaft (d_i) and hit the calculate button.

FAQs on Tensile Stress in Hollow Shaft when Subjected to Axial Force

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

The formula of Tensile Stress in Hollow Shaft when Subjected to Axial Force is expressed as Tensile Stress in Hollow Shaft = Axial Force on Hollow Shaft/(pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2)). Here is an example- 5.6E-5 = 25980/(pi/4*(0.046^2-0.039^2)).

How to calculate Tensile Stress in Hollow Shaft when Subjected to Axial Force?

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

Can the Tensile Stress in Hollow Shaft when Subjected to Axial Force be negative?

No, the Tensile Stress in Hollow Shaft when Subjected to Axial Force, measured in Stress cannot be negative.

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

Tensile Stress in Hollow Shaft when Subjected to Axial Force is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Tensile Stress in Hollow Shaft when Subjected to Axial Force can be measured.

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Tensile Stress in Hollow Shaft when Subjected to Axial Force Formula

Tensile Stress in Hollow Shaft when Subjected to Axial Force Example

Tensile Stress in Hollow Shaft when Subjected to Axial Force Solution

Tensile Stress in Hollow Shaft when Subjected to Axial Force Formula Elements

Other formulas in Design of Hollow Shaft category

How to Evaluate Tensile Stress in Hollow Shaft when Subjected to Axial Force?

FAQs on Tensile Stress in Hollow Shaft when Subjected to Axial Force

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