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Polar Moment of Inertia of Thickened Hollow Welded Shaft Formula

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Polar Moment of Inertia of Welded Hollow Shaft is defined as the Polar moment of inertia of the welded hollow thickened shaft about its Center of Gravity. Check FAQs

J = (2 \cdot π \cdot t \cdot r^{3})

J - Polar Moment of Inertia of Welded Hollow Shaft?t - Thickness of Welded Shaft?r - Radius of Welded Shaft?π - Archimedes' constant?

Polar Moment of Inertia of Thickened Hollow Welded Shaft Example

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Here is how the Polar Moment of Inertia of Thickened Hollow Welded Shaft equation looks like with Values.

Here is how the Polar Moment of Inertia of Thickened Hollow Welded Shaft equation looks like with Units.

Here is how the Polar Moment of Inertia of Thickened Hollow Welded Shaft equation looks like.

441786.4669 = (2 \cdot 3.1416 \cdot 4.5 \cdot 25^{3})

441786.4669mm⁴ = (2 \cdot 3.1416 \cdot 4.5mm \cdot {25mm}^{3})

441786.4669 = (2 \cdot 3.1416 \cdot 4.5 \cdot 25^{3})

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Polar Moment of Inertia of Thickened Hollow Welded Shaft Solution

Follow our step by step solution on how to calculate Polar Moment of Inertia of Thickened Hollow Welded Shaft?

FIRST Step Consider the formula

J = (2 \cdot π \cdot t \cdot r^{3})

Next Step Substitute values of Variables

∴

J = (2 \cdot π \cdot 4.5mm \cdot {25mm}^{3})

Next Step Substitute values of Constants

∴

J = (2 \cdot 3.1416 \cdot 4.5mm \cdot {25mm}^{3})

Next Step Convert Units

∴

J = (2 \cdot 3.1416 \cdot 0.0045m \cdot {0.025m}^{3})

Next Step Prepare to Evaluate

∴

J = (2 \cdot 3.1416 \cdot 0.0045 \cdot {0.025}^{3})

Next Step Evaluate

∴

J = 4.41786466911065E-07m⁴

Next Step Convert to Output's Unit

∴

J = 441786.466911065mm⁴

LAST Step Rounding Answer

∴

J = 441786.4669mm⁴

Polar Moment of Inertia of Thickened Hollow Welded Shaft Formula Elements

Variables

Constants

Polar Moment of Inertia of Welded Hollow Shaft

Polar Moment of Inertia of Welded Hollow Shaft is defined as the Polar moment of inertia of the welded hollow thickened shaft about its Center of Gravity.

Symbol: J

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia of Welded Hollow Shaft

Thickness of Welded Shaft

Thickness of welded shaft is defined as the difference in between the outer diameter and the inner diameter of the shaft.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Welded Shaft

Radius of Welded Shaft

Radius of welded shaft is the radius of the shaft subjected to torsion.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Welded 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 Welded Joints Subjected to Torsional Moment category

Go Shear Stress for Long Fillet Weld Subjected to Torsion

σ s = \frac{3 \cdot Mt t}{h t \cdot L^{2}}

Go Shear Stress on Circular Fillet Weld Subjected to Torsion

σ s = \frac{Mt t}{π \cdot h t \cdot r^{2}}

Go Torsional Shear Stress in Weld

σ s = \frac{Mt t}{2 \cdot π \cdot r^{2} \cdot t}

Go Torsional Moment given Torsional Shear Stress in Weld

Mt t = 2 \cdot π \cdot r^{2} \cdot t \cdot σ s

How to Evaluate Polar Moment of Inertia of Thickened Hollow Welded Shaft?

Polar Moment of Inertia of Thickened Hollow Welded Shaft evaluator uses Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of Welded Shaft*Radius of Welded Shaft^3) to evaluate the Polar Moment of Inertia of Welded Hollow Shaft, Polar Moment of Inertia of Thickened Hollow Welded Shaft is defined as a quantity used to describe resistance to torsional deformation (deflection). In cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation. Polar Moment of Inertia of Welded Hollow Shaft is denoted by J symbol.

How to evaluate Polar Moment of Inertia of Thickened Hollow Welded Shaft using this online evaluator? To use this online evaluator for Polar Moment of Inertia of Thickened Hollow Welded Shaft, enter Thickness of Welded Shaft (t) & Radius of Welded Shaft (r) and hit the calculate button.

FAQs on Polar Moment of Inertia of Thickened Hollow Welded Shaft

What is the formula to find Polar Moment of Inertia of Thickened Hollow Welded Shaft?

The formula of Polar Moment of Inertia of Thickened Hollow Welded Shaft is expressed as Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of Welded Shaft*Radius of Welded Shaft^3). Here is an example- 4.4E+17 = (2*pi*0.0045*0.025^3).

How to calculate Polar Moment of Inertia of Thickened Hollow Welded Shaft?

With Thickness of Welded Shaft (t) & Radius of Welded Shaft (r) we can find Polar Moment of Inertia of Thickened Hollow Welded Shaft using the formula - Polar Moment of Inertia of Welded Hollow Shaft = (2*pi*Thickness of Welded Shaft*Radius of Welded Shaft^3). This formula also uses Archimedes' constant .

Can the Polar Moment of Inertia of Thickened Hollow Welded Shaft be negative?

No, the Polar Moment of Inertia of Thickened Hollow Welded Shaft, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Polar Moment of Inertia of Thickened Hollow Welded Shaft?

Polar Moment of Inertia of Thickened Hollow Welded Shaft is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Polar Moment of Inertia of Thickened Hollow Welded Shaft can be measured.

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Polar Moment of Inertia of Thickened Hollow Welded Shaft Formula

Polar Moment of Inertia of Thickened Hollow Welded Shaft Example

Polar Moment of Inertia of Thickened Hollow Welded Shaft Solution

Polar Moment of Inertia of Thickened Hollow Welded Shaft Formula Elements

Other formulas in Welded Joints Subjected to Torsional Moment category

How to Evaluate Polar Moment of Inertia of Thickened Hollow Welded Shaft?

FAQs on Polar Moment of Inertia of Thickened Hollow Welded Shaft

Variable Name