FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Torsional Moment given Torsional Shear Stress in Weld Formula

Fx Copy

LaTeX Copy

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

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

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

Torsional Moment given Torsional Shear Stress in Weld Example

With values

With units

Only example

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

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

Here is how the Torsional Moment given Torsional Shear Stress in Weld equation looks like.

1.3E+6 = 2 \cdot 3.1416 \cdot 25^{2} \cdot 4.5 \cdot 75

1.3E+6N*mm = 2 \cdot 3.1416 \cdot {25mm}^{2} \cdot 4.5mm \cdot 75N/mm²

1.3E+6 = 2 \cdot 3.1416 \cdot 25^{2} \cdot 4.5 \cdot 75

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Machine Elements » fx Torsional Moment given Torsional Shear Stress in Weld

Torsional Moment given Torsional Shear Stress in Weld Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Mt t = 2 \cdot π \cdot {25mm}^{2} \cdot 4.5mm \cdot 75N/mm²

Next Step Substitute values of Constants

∴

Mt t = 2 \cdot 3.1416 \cdot {25mm}^{2} \cdot 4.5mm \cdot 75N/mm²

Next Step Convert Units

∴

Mt t = 2 \cdot 3.1416 \cdot {0.025m}^{2} \cdot 0.0045m \cdot 7.5E+7Pa

Next Step Prepare to Evaluate

∴

Mt t = 2 \cdot 3.1416 \cdot {0.025}^{2} \cdot 0.0045 \cdot 7.5E+7

Next Step Evaluate

∴

Mt t = 1325.35940073319N*m

Next Step Convert to Output's Unit

∴

Mt t = 1325359.40073319N*mm

LAST Step Rounding Answer

∴

Mt t = 1.3E+6N*mm

Torsional Moment given Torsional Shear Stress in Weld Formula Elements

Variables

Constants

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

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 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 Thickness of Shaft given Torsional Shear Stress in Weld

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

How to Evaluate Torsional Moment given Torsional Shear Stress in Weld?

Torsional Moment given Torsional Shear Stress in Weld evaluator uses Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft*Torsional Shear Stress to evaluate the Torsional Moment in Welded Shaft, The Torsional Moment given Torsional Shear Stress in Weld formula is defined as the twisting of a part by application of equal and opposite torques. The condition of twist and shear stress produced by a torque on a part or component. Torsional Moment in Welded Shaft is denoted by Mt_t symbol.

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

FAQs on Torsional Moment given Torsional Shear Stress in Weld

What is the formula to find Torsional Moment given Torsional Shear Stress in Weld?

The formula of Torsional Moment given Torsional Shear Stress in Weld is expressed as Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft*Torsional Shear Stress. Here is an example- 1.3E+9 = 2*pi*0.025^2*0.0045*75000000.

How to calculate Torsional Moment given Torsional Shear Stress in Weld?

With Radius of Welded Shaft (r), Thickness of Welded Shaft (t) & Torsional Shear Stress (σ_s) we can find Torsional Moment given Torsional Shear Stress in Weld using the formula - Torsional Moment in Welded Shaft = 2*pi*Radius of Welded Shaft^2*Thickness of Welded Shaft*Torsional Shear Stress. This formula also uses Archimedes' constant .

Can the Torsional Moment given Torsional Shear Stress in Weld be negative?

No, the Torsional Moment given Torsional Shear Stress in Weld, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment given Torsional Shear Stress in Weld?

Torsional Moment given Torsional Shear Stress in Weld is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torsional Moment given Torsional Shear Stress in Weld can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Torsional Moment given Torsional Shear Stress in Weld Formula

Torsional Moment given Torsional Shear Stress in Weld Example

Torsional Moment given Torsional Shear Stress in Weld Solution

Torsional Moment given Torsional Shear Stress in Weld Formula Elements

Other formulas in Welded Joints Subjected to Torsional Moment category

How to Evaluate Torsional Moment given Torsional Shear Stress in Weld?

FAQs on Torsional Moment given Torsional Shear Stress in Weld

Variable Name