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Radius of Shaft given Torsional Shear Stress in Weld Formula

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

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

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

Radius of Shaft given Torsional Shear Stress in Weld Example

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

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

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

24.7597 = \sqrt{\frac{1.3E+6}{2 \cdot 3.1416 \cdot 75 \cdot 4.5}}

24.7597mm = \sqrt{\frac{1.3E+6N*mm}{2 \cdot 3.1416 \cdot 75N/mm² \cdot 4.5mm}}

24.7597 = \sqrt{\frac{1.3E+6}{2 \cdot 3.1416 \cdot 75 \cdot 4.5}}

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Radius of Shaft given Torsional Shear Stress in Weld Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{1.3E+6N*mm}{2 \cdot π \cdot 75N/mm² \cdot 4.5mm}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{1.3E+6N*mm}{2 \cdot 3.1416 \cdot 75N/mm² \cdot 4.5mm}}

Next Step Convert Units

∴

r = \sqrt{\frac{1300N*m}{2 \cdot 3.1416 \cdot 7.5E+7Pa \cdot 0.0045m}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{1300}{2 \cdot 3.1416 \cdot 7.5E+7 \cdot 0.0045}}

Next Step Evaluate

∴

r = 0.0247596700761519m

Next Step Convert to Output's Unit

∴

r = 24.7596700761519mm

LAST Step Rounding Answer

∴

r = 24.7597mm

Radius of Shaft given Torsional Shear Stress in Weld Formula Elements

Variables

Constants

Functions

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 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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Radius of Shaft given Torsional Shear Stress in Weld?

Radius of Shaft given Torsional Shear Stress in Weld evaluator uses Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of Welded Shaft)) to evaluate the Radius of Welded Shaft, The Radius of Shaft given Torsional Shear Stress in Weld formula is defined as the radius of the Shaft that we have welded and applied a bending Moment. Radius of Welded Shaft is denoted by r symbol.

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

FAQs on Radius of Shaft given Torsional Shear Stress in Weld

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

The formula of Radius of Shaft given Torsional Shear Stress in Weld is expressed as Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of Welded Shaft)). Here is an example- 24759.67 = sqrt(1300/(2*pi*75000000*0.0045)).

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

With Torsional Moment in Welded Shaft (Mt_t), Torsional Shear Stress (σ_s) & Thickness of Welded Shaft (t) we can find Radius of Shaft given Torsional Shear Stress in Weld using the formula - Radius of Welded Shaft = sqrt(Torsional Moment in Welded Shaft/(2*pi*Torsional Shear Stress*Thickness of Welded Shaft)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

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

Radius 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 Radius of Shaft given Torsional Shear Stress in Weld can be measured.

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Radius of Shaft given Torsional Shear Stress in Weld Formula

Radius of Shaft given Torsional Shear Stress in Weld Example

Radius of Shaft given Torsional Shear Stress in Weld Solution

Radius of Shaft given Torsional Shear Stress in Weld Formula Elements

Other formulas in Welded Joints Subjected to Torsional Moment category

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

FAQs on Radius of Shaft given Torsional Shear Stress in Weld

Variable Name