FormulaDen.com

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

Torsional Stiffness of Shaft Formula

GoTorsional Stiffness of Shaft given Natural Frequency of Vibration Formula

GoTorsional Stiffness of Shaft given Time Period of Vibration Formula

Fx Copy

LaTeX Copy

torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque. Check FAQs

q = \frac{F r}{θ}

q - Torsional Stiffness?F_r - Restoring Force?θ - Angular Displacement of Shaft?

Torsional Stiffness of Shaft Example

With values

With units

Only example

Here is how the Torsional Stiffness of Shaft equation looks like with Values.

Here is how the Torsional Stiffness of Shaft equation looks like with Units.

Here is how the Torsional Stiffness of Shaft equation looks like.

5.4167 = \frac{65}{12}

5.4167N/m = \frac{65N}{12rad}

5.4167 = \frac{65}{12}

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

Theory of Machine » fx Torsional Stiffness of Shaft

Torsional Stiffness of Shaft Solution

Follow our step by step solution on how to calculate Torsional Stiffness of Shaft?

FIRST Step Consider the formula

q = \frac{F r}{θ}

Next Step Substitute values of Variables

∴

q = \frac{65N}{12rad}

Next Step Prepare to Evaluate

∴

q = \frac{65}{12}

Next Step Evaluate

∴

q = 5.41666666666667N/m

LAST Step Rounding Answer

∴

q = 5.4167N/m

Torsional Stiffness of Shaft Formula Elements

Variables

Torsional Stiffness

torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.

Symbol: q

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Torsional Stiffness

Restoring Force

Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state.

Symbol: F_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Restoring Force

Angular Displacement of Shaft

Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Displacement of Shaft

Other Formulas to find Torsional Stiffness

Go Torsional Stiffness of Shaft given Natural Frequency of Vibration

q = {(2 \cdot π \cdot f n)}^{2} \cdot I d

Go Torsional Stiffness of Shaft given Time Period of Vibration

q = \frac{{(2 \cdot π)}^{2} \cdot I d}{{(t p)}^{2}}

Other formulas in Natural Frequency of Free Torsional Vibrations category

Go Moment of Inertia of Disc using Natural Frequency of Vibration

I d = \frac{q}{{(2 \cdot π \cdot f n)}^{2}}

Go Moment of Inertia of Disc given Time Period of Vibration

I d = \frac{{t p}^{2} \cdot q}{{(2 \cdot π)}^{2}}

Go Time Period for Vibrations

t p = 2 \cdot π \cdot \sqrt{\frac{I d}{q}}

Go Moment of Inertia of Disc given Angular Velocity

I d = \frac{q r}{ω^{2}}

How to Evaluate Torsional Stiffness of Shaft?

Torsional Stiffness of Shaft evaluator uses Torsional Stiffness = Restoring Force/Angular Displacement of Shaft to evaluate the Torsional Stiffness, Torsional Stiffness of Shaft formula is defined as a measure of the shaft's resistance to twisting or rotational deformation, which is essential in determining the shaft's ability to withstand torsional loads and vibrations in mechanical systems. Torsional Stiffness is denoted by q symbol.

How to evaluate Torsional Stiffness of Shaft using this online evaluator? To use this online evaluator for Torsional Stiffness of Shaft, enter Restoring Force (F_r) & Angular Displacement of Shaft (θ) and hit the calculate button.

FAQs on Torsional Stiffness of Shaft

What is the formula to find Torsional Stiffness of Shaft?

The formula of Torsional Stiffness of Shaft is expressed as Torsional Stiffness = Restoring Force/Angular Displacement of Shaft. Here is an example- 5.416667 = 65/12.

How to calculate Torsional Stiffness of Shaft?

With Restoring Force (F_r) & Angular Displacement of Shaft (θ) we can find Torsional Stiffness of Shaft using the formula - Torsional Stiffness = Restoring Force/Angular Displacement of Shaft.

What are the other ways to Calculate Torsional Stiffness?

Here are the different ways to Calculate Torsional Stiffness-

Torsional Stiffness=(2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc
Torsional Stiffness=((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2

Can the Torsional Stiffness of Shaft be negative?

No, the Torsional Stiffness of Shaft, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Torsional Stiffness of Shaft?

Torsional Stiffness of Shaft is usually measured using the Newton per Meter[N/m] for Stiffness Constant. Newton per Millimeter[N/m], Kilonewton per Millimeter[N/m] are the few other units in which Torsional Stiffness of Shaft can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Torsional Stiffness of Shaft Formula

​GoTorsional Stiffness of Shaft given Natural Frequency of Vibration Formula

​GoTorsional Stiffness of Shaft given Time Period of Vibration Formula

Torsional Stiffness of Shaft Example

Torsional Stiffness of Shaft Solution

Torsional Stiffness of Shaft Formula Elements

Other Formulas to find Torsional Stiffness

Other formulas in Natural Frequency of Free Torsional Vibrations category

How to Evaluate Torsional Stiffness of Shaft?

FAQs on Torsional Stiffness of Shaft

Variable Name

GoTorsional Stiffness of Shaft given Natural Frequency of Vibration Formula

GoTorsional Stiffness of Shaft given Time Period of Vibration Formula