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Thickness of Shaft given Torsional Shear Stress in Weld Formula

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

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

t - Thickness of Welded Shaft?Mt_t - Torsional Moment in Welded Shaft?r - Radius of Welded Shaft?σ_s - Torsional Shear Stress?π - Archimedes' constant?

Thickness of Shaft given Torsional Shear Stress in Weld Example

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Here is how the Thickness of Shaft given Torsional Shear Stress in Weld equation looks like with Values.

Here is how the Thickness of Shaft given Torsional Shear Stress in Weld equation looks like with Units.

Here is how the Thickness of Shaft given Torsional Shear Stress in Weld equation looks like.

4.4139 = \frac{1.3E+6}{2 \cdot 3.1416 \cdot 25^{2} \cdot 75}

4.4139mm = \frac{1.3E+6N*mm}{2 \cdot 3.1416 \cdot {25mm}^{2} \cdot 75N/mm²}

4.4139 = \frac{1.3E+6}{2 \cdot 3.1416 \cdot 25^{2} \cdot 75}

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Thickness of Shaft given Torsional Shear Stress in Weld Solution

Follow our step by step solution on how to calculate Thickness of Shaft given Torsional Shear Stress in Weld?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{1.3E+6N*mm}{2 \cdot π \cdot {25mm}^{2} \cdot 75N/mm²}

Next Step Substitute values of Constants

∴

t = \frac{1.3E+6N*mm}{2 \cdot 3.1416 \cdot {25mm}^{2} \cdot 75N/mm²}

Next Step Convert Units

∴

t = \frac{1300N*m}{2 \cdot 3.1416 \cdot {0.025m}^{2} \cdot 7.5E+7Pa}

Next Step Prepare to Evaluate

∴

t = \frac{1300}{2 \cdot 3.1416 \cdot {0.025}^{2} \cdot 7.5E+7}

Next Step Evaluate

∴

t = 0.00441389708841523m

Next Step Convert to Output's Unit

∴

t = 4.41389708841523mm

LAST Step Rounding Answer

∴

t = 4.4139mm

Thickness of Shaft given Torsional Shear Stress in Weld Formula Elements

Variables

Constants

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

Torsional Moment in Welded Shaft

Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft.

Symbol: Mt_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in 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

Torsional Shear Stress

Torsional Shear Stress is the shear stress produced against torsional load or twisting load.

Symbol: σ_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Shear Stress

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 Thickness of Shaft given Torsional Shear Stress in Weld?

Thickness of Shaft given Torsional Shear Stress in Weld evaluator uses Thickness of Welded Shaft = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Torsional Shear Stress) to evaluate the Thickness of Welded Shaft, The Thickness of Shaft given Torsional Shear Stress in Weld formula is defined as the difference of the outer diameter and the inner diameter of the shaft which is welded. Thickness of Welded Shaft is denoted by t symbol.

How to evaluate Thickness of Shaft given Torsional Shear Stress in Weld using this online evaluator? To use this online evaluator for Thickness of Shaft given Torsional Shear Stress in Weld, enter Torsional Moment in Welded Shaft (Mt_t), Radius of Welded Shaft (r) & Torsional Shear Stress (σ_s) and hit the calculate button.

FAQs on Thickness of Shaft given Torsional Shear Stress in Weld

What is the formula to find Thickness of Shaft given Torsional Shear Stress in Weld?

The formula of Thickness of Shaft given Torsional Shear Stress in Weld is expressed as Thickness of Welded Shaft = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Torsional Shear Stress). Here is an example- 4413.897 = 1300/(2*pi*0.025^2*75000000).

How to calculate Thickness of Shaft given Torsional Shear Stress in Weld?

With Torsional Moment in Welded Shaft (Mt_t), Radius of Welded Shaft (r) & Torsional Shear Stress (σ_s) we can find Thickness of Shaft given Torsional Shear Stress in Weld using the formula - Thickness of Welded Shaft = Torsional Moment in Welded Shaft/(2*pi*Radius of Welded Shaft^2*Torsional Shear Stress). This formula also uses Archimedes' constant .

Can the Thickness of Shaft given Torsional Shear Stress in Weld be negative?

No, the Thickness of Shaft given Torsional Shear Stress in Weld, measured in Length cannot be negative.

Which unit is used to measure Thickness of Shaft given Torsional Shear Stress in Weld?

Thickness of Shaft given Torsional Shear Stress in Weld is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Shaft given Torsional Shear Stress in Weld can be measured.

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Thickness of Shaft given Torsional Shear Stress in Weld Formula

Thickness of Shaft given Torsional Shear Stress in Weld Example

Thickness of Shaft given Torsional Shear Stress in Weld Solution

Thickness of Shaft given Torsional Shear Stress in Weld Formula Elements

Other formulas in Welded Joints Subjected to Torsional Moment category

How to Evaluate Thickness of Shaft given Torsional Shear Stress in Weld?

FAQs on Thickness of Shaft given Torsional Shear Stress in Weld

Variable Name