Torsional Stiffness of Shaft given Natural Frequency of Vibration Calculator

✖Natural Frequency is the number of oscillations or cycles per second in a torsional vibration system, characterizing its inherent oscillatory behavior.ⓘ Natural Frequency [f_n]			+10% -10%
✖Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.ⓘ Mass Moment of Inertia of Disc [I_d]			+10% -10%

✖torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.ⓘ Torsional Stiffness of Shaft given Natural Frequency of Vibration [q]

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Torsional Stiffness of Shaft given Natural Frequency of Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc
q = (2*pi*f_n)^2*I_d
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional Stiffness - (Measured in Newton per Meter) - torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.
Natural Frequency - (Measured in Hertz) - Natural Frequency is the number of oscillations or cycles per second in a torsional vibration system, characterizing its inherent oscillatory behavior.
Mass Moment of Inertia of Disc - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.

STEP 1: Convert Input(s) to Base Unit

Natural Frequency: 0.148532 Hertz --> 0.148532 Hertz No Conversion Required
Mass Moment of Inertia of Disc: 6.2 Kilogram Square Meter --> 6.2 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (2*pi*f_n)^2*I_d --> (2*pi*0.148532)^2*6.2

Evaluating ... ...

q = 5.39997170311952

STEP 3: Convert Result to Output's Unit

5.39997170311952 Newton per Meter --> No Conversion Required

FINAL ANSWER

5.39997170311952 ≈ 5.399972 Newton per Meter <-- Torsional Stiffness

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Natural Frequency of Free Torsional Vibrations » Torsional Stiffness of Shaft given Natural Frequency of Vibration

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< Natural Frequency of Free Torsional Vibrations Calculators

Moment of Inertia of Disc using Natural Frequency of Vibration

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

Torsional Stiffness of Shaft given Natural Frequency of Vibration

LaTeX Go Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc

Torsional Stiffness of Shaft given Time Period of Vibration

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

Moment of Inertia of Disc given Time Period of Vibration

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

Torsional Stiffness of Shaft given Natural Frequency of Vibration Formula

LaTeX Go

Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc
q = (2*pi*f_n)^2*I_d

What causes torsional vibration?

Torsional vibrations are an example of machinery vibrations and are caused by the superposition of angular oscillations along the whole propulsion shaft system including propeller shaft, engine crankshaft, engine, gearbox, flexible coupling and along the intermediate shafts.

How to Calculate Torsional Stiffness of Shaft given Natural Frequency of Vibration?

Torsional Stiffness of Shaft given Natural Frequency of Vibration calculator uses Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc to calculate the Torsional Stiffness, Torsional Stiffness of Shaft given Natural Frequency of Vibration formula is defined as a measure of the shaft's resistance to twisting forces, which is essential in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity. Torsional Stiffness is denoted by q symbol.

How to calculate Torsional Stiffness of Shaft given Natural Frequency of Vibration using this online calculator? To use this online calculator for Torsional Stiffness of Shaft given Natural Frequency of Vibration, enter Natural Frequency (f_n) & Mass Moment of Inertia of Disc (I_d) and hit the calculate button. Here is how the Torsional Stiffness of Shaft given Natural Frequency of Vibration calculation can be explained with given input values -> 5.399972 = (2*pi*0.148532)^2*6.2.

FAQ

What is Torsional Stiffness of Shaft given Natural Frequency of Vibration?

Torsional Stiffness of Shaft given Natural Frequency of Vibration formula is defined as a measure of the shaft's resistance to twisting forces, which is essential in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity and is represented as q = (2*pi*f_n)^2*I_d or Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc. Natural Frequency is the number of oscillations or cycles per second in a torsional vibration system, characterizing its inherent oscillatory behavior & Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.

How to calculate Torsional Stiffness of Shaft given Natural Frequency of Vibration?

Torsional Stiffness of Shaft given Natural Frequency of Vibration formula is defined as a measure of the shaft's resistance to twisting forces, which is essential in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity is calculated using Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc. To calculate Torsional Stiffness of Shaft given Natural Frequency of Vibration, you need Natural Frequency (f_n) & Mass Moment of Inertia of Disc (I_d). With our tool, you need to enter the respective value for Natural Frequency & Mass Moment of Inertia of Disc and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torsional Stiffness?

In this formula, Torsional Stiffness uses Natural Frequency & Mass Moment of Inertia of Disc. We can use 2 other way(s) to calculate the same, which is/are as follows -

Torsional Stiffness = ((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2
Torsional Stiffness = Restoring Force/Angular Displacement of Shaft

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