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 Shaft Pure Torsion Formula

Fx Copy

LaTeX Copy

Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design. Check FAQs

Mt shaft = 𝜏 \cdot π \cdot \frac{d^{3}}{16}

Mt_shaft - Torsional Moment in Shaft?𝜏 - Torsional Shear Stress in Shaft?d - Diameter of Shaft on Strength Basis?π - Archimedes' constant?

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Example

With values

With units

Only example

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

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

Here is how the Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion equation looks like.

329966.2358 = 16.29 \cdot 3.1416 \cdot \frac{{46.9}^{3}}{16}

329966.2358N*mm = 16.29N/mm² \cdot 3.1416 \cdot \frac{{46.9mm}^{3}}{16}

329966.2358 = 16.29 \cdot 3.1416 \cdot \frac{{46.9}^{3}}{16}

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 Automobile Elements » fx Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Solution

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

FIRST Step Consider the formula

Mt shaft = 𝜏 \cdot π \cdot \frac{d^{3}}{16}

Next Step Substitute values of Variables

∴

Mt shaft = 16.29N/mm² \cdot π \cdot \frac{{46.9mm}^{3}}{16}

Next Step Substitute values of Constants

∴

Mt shaft = 16.29N/mm² \cdot 3.1416 \cdot \frac{{46.9mm}^{3}}{16}

Next Step Convert Units

∴

Mt shaft = 1.6E+7Pa \cdot 3.1416 \cdot \frac{{0.0469m}^{3}}{16}

Next Step Prepare to Evaluate

∴

Mt shaft = 1.6E+7 \cdot 3.1416 \cdot \frac{{0.0469}^{3}}{16}

Next Step Evaluate

∴

Mt shaft = 329.96623584283N*m

Next Step Convert to Output's Unit

∴

Mt shaft = 329966.23584283N*mm

LAST Step Rounding Answer

∴

Mt shaft = 329966.2358N*mm

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Formula Elements

Variables

Constants

Torsional Moment in Shaft

Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design.

Symbol: Mt_shaft

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Shaft

Torsional Shear Stress in Shaft

Torsional Shear Stress in Shaft is the stress developed in a shaft due to twisting or rotational force, affecting its strength and structural integrity.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Shear Stress in Shaft

Diameter of Shaft on Strength Basis

Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft on Strength Basis

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 Shaft Design on Strength Basis category

Go Tensile Stress in Shaft when it is Subjected to Axial Tensile Force

σ t = 4 \cdot \frac{P ax}{π \cdot d^{2}}

Go Diameter of Shaft given Tensile Stress in Shaft

d = \sqrt{4 \cdot \frac{P ax}{π \cdot σ t}}

Go Axial Force given Tensile Stress in Shaft

P ax = σ t \cdot π \cdot \frac{d^{2}}{4}

Go Bending Stress in Shaft Pure Bending Moment

σ b = \frac{32 \cdot M b}{π \cdot d^{3}}

How to Evaluate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion evaluator uses Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16 to evaluate the Torsional Moment in Shaft, Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the twisting force that causes a shaft to rotate, which is essential in shaft design to ensure the shaft can withstand the stress and torque. Torsional Moment in Shaft is denoted by Mt_shaft symbol.

How to evaluate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion using this online evaluator? To use this online evaluator for Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion, enter Torsional Shear Stress in Shaft (𝜏) & Diameter of Shaft on Strength Basis (d) and hit the calculate button.

FAQs on Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion

What is the formula to find Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?

The formula of Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion is expressed as Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16. Here is an example- 3.3E+8 = 16290000*pi*(0.0469^3)/16.

How to calculate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?

With Torsional Shear Stress in Shaft (𝜏) & Diameter of Shaft on Strength Basis (d) we can find Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion using the formula - Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16. This formula also uses Archimedes' constant .

Can the Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion be negative?

No, the Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion 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 Shaft Pure Torsion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Formula

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Example

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Solution

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Formula Elements

Other formulas in Shaft Design on Strength Basis category

How to Evaluate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?

FAQs on Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion

Variable Name