FormulaDen.com

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

Torsional Moment given Angle of Twist in Shaft Formula

Fx Copy

LaTeX Copy

Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist. Check FAQs

M = θ \cdot \frac{G \cdot d^{4}}{L \cdot 584}

M - Torsional Moment in Shaft?θ - Angle of Twist in Shaft?G - Modulus of Rigidity of Shaft?d - Diameter of Shaft From Torsional Rigidity?L - Length of Shaft From Torsional Rigidity?

Torsional Moment given Angle of Twist in Shaft Example

With values

With units

Only example

Here is how the Torsional Moment given Angle of Twist in Shaft equation looks like with Values.

Here is how the Torsional Moment given Angle of Twist in Shaft equation looks like with Units.

Here is how the Torsional Moment given Angle of Twist in Shaft equation looks like.

330000.0069 = 15.4192 \cdot \frac{90000 \cdot {43.5}^{4}}{450 \cdot 584}

330000.0069N*mm = 15.4192° \cdot \frac{90000N/mm² \cdot {43.5mm}^{4}}{450mm \cdot 584}

330000.0069 = 15.4192 \cdot \frac{90000 \cdot {43.5}^{4}}{450 \cdot 584}

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 Angle of Twist in Shaft

Torsional Moment given Angle of Twist in Shaft Solution

Follow our step by step solution on how to calculate Torsional Moment given Angle of Twist in Shaft?

FIRST Step Consider the formula

M = θ \cdot \frac{G \cdot d^{4}}{L \cdot 584}

Next Step Substitute values of Variables

∴

M = 15.4192° \cdot \frac{90000N/mm² \cdot {43.5mm}^{4}}{450mm \cdot 584}

Next Step Convert Units

∴

M = 0.2691rad \cdot \frac{9E+10Pa \cdot {0.0435m}^{4}}{0.45m \cdot 584}

Next Step Prepare to Evaluate

∴

M = 0.2691 \cdot \frac{9E+10 \cdot {0.0435}^{4}}{0.45 \cdot 584}

Next Step Evaluate

∴

M = 330.000006868257N*m

Next Step Convert to Output's Unit

∴

M = 330000.006868257N*mm

LAST Step Rounding Answer

∴

M = 330000.0069N*mm

Torsional Moment given Angle of Twist in Shaft Formula Elements

Variables

Torsional Moment in Shaft

Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.

Symbol: M

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Shaft

Angle of Twist in Shaft

Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Twist in Shaft

Modulus of Rigidity of Shaft

Modulus of Rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid is s shaft.

Symbol: G

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Shaft

Diameter of Shaft From Torsional Rigidity

Diameter of Shaft From Torsional Rigidity is the diameter of the external surface of a shaft calculated on the basis of torsional rigidity.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft From Torsional Rigidity

Length of Shaft From Torsional Rigidity

Length of Shaft From Torsional Rigidity is the length of the shaft calculated on the basis of torsional rigidity.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Shaft From Torsional Rigidity

Other formulas in Torsional Rigidity category

Go Angle of Twist of Shaft

θ = 584 \cdot M \cdot \frac{L}{G \cdot d^{4}}

Go Length of Shaft Subjected to Torsional Moment given Angle of Twist

L = θ \cdot \frac{G \cdot d^{4}}{584 \cdot M}

Go Modulus of Rigidity given Angle of Twist

G = 584 \cdot M \cdot \frac{L}{θ \cdot d^{4}}

Go Shaft Diameter given Angle of Twist in Shaft

d = {(584 \cdot M \cdot \frac{L}{G \cdot θ})}^{\frac{1}{4}}

How to Evaluate Torsional Moment given Angle of Twist in Shaft?

Torsional Moment given Angle of Twist in Shaft evaluator uses Torsional Moment in Shaft = Angle of Twist in Shaft*(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)/(Length of Shaft From Torsional Rigidity*584) to evaluate the Torsional Moment in Shaft, Torsional Moment given Angle of Twist in Shaft formula is defined as a measure of the twisting force that causes a shaft to rotate, which is a critical parameter in mechanical engineering to determine the stress and strain on a shaft. Torsional Moment in Shaft is denoted by M symbol.

How to evaluate Torsional Moment given Angle of Twist in Shaft using this online evaluator? To use this online evaluator for Torsional Moment given Angle of Twist in Shaft, enter Angle of Twist in Shaft (θ), Modulus of Rigidity of Shaft (G), Diameter of Shaft From Torsional Rigidity (d) & Length of Shaft From Torsional Rigidity (L) and hit the calculate button.

FAQs on Torsional Moment given Angle of Twist in Shaft

What is the formula to find Torsional Moment given Angle of Twist in Shaft?

The formula of Torsional Moment given Angle of Twist in Shaft is expressed as Torsional Moment in Shaft = Angle of Twist in Shaft*(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)/(Length of Shaft From Torsional Rigidity*584). Here is an example- 3.3E+8 = 0.269116157089309*(90000000000*0.0435^4)/(0.45*584).

How to calculate Torsional Moment given Angle of Twist in Shaft?

With Angle of Twist in Shaft (θ), Modulus of Rigidity of Shaft (G), Diameter of Shaft From Torsional Rigidity (d) & Length of Shaft From Torsional Rigidity (L) we can find Torsional Moment given Angle of Twist in Shaft using the formula - Torsional Moment in Shaft = Angle of Twist in Shaft*(Modulus of Rigidity of Shaft*Diameter of Shaft From Torsional Rigidity^4)/(Length of Shaft From Torsional Rigidity*584).

Can the Torsional Moment given Angle of Twist in Shaft be negative?

No, the Torsional Moment given Angle of Twist in Shaft, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment given Angle of Twist in Shaft?

Torsional Moment given Angle of Twist in Shaft 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 Angle of Twist in Shaft can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Torsional Moment given Angle of Twist in Shaft Formula

Torsional Moment given Angle of Twist in Shaft Example

Torsional Moment given Angle of Twist in Shaft Solution

Torsional Moment given Angle of Twist in Shaft Formula Elements

Other formulas in Torsional Rigidity category

How to Evaluate Torsional Moment given Angle of Twist in Shaft?

FAQs on Torsional Moment given Angle of Twist in Shaft

Variable Name