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Natural Frequency of Free Transverse Vibrations Calculator

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General Shaft Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load Shaft Subjected to a Number of Point Loads Uniformly Distributed Load Acting Over a Simply Supported Shaft

✖Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.ⓘ Stiffness of Shaft [s]			+10% -10%
✖Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations.ⓘ Load Attached to Free End of Constraint [W_attached]			+10% -10%

✖Frequency is the number of oscillations or cycles per second of a system undergoing free transverse vibrations, characterizing its natural vibrational behavior.ⓘ Natural Frequency of Free Transverse Vibrations [f]

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Natural Frequency of Free Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi
f = (sqrt(s/W_attached))/2*pi
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Frequency - (Measured in Hertz) - Frequency is the number of oscillations or cycles per second of a system undergoing free transverse vibrations, characterizing its natural vibrational behavior.
Stiffness of Shaft - (Measured in Newton per Meter) - Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Shaft: 0.63 Newton per Meter --> 0.63 Newton per Meter No Conversion Required
Load Attached to Free End of Constraint: 0.453411 Kilogram --> 0.453411 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (sqrt(s/W_attached))/2*pi --> (sqrt(0.63/0.453411))/2*pi

Evaluating ... ...

f = 1.85158701171714

STEP 3: Convert Result to Output's Unit

1.85158701171714 Hertz --> No Conversion Required

FINAL ANSWER

1.85158701171714 ≈ 1.851587 Hertz <-- Frequency

(Calculation completed in 00.020 seconds)

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< General Shaft Calculators

Length of Shaft

LaTeX Go Length of Shaft = ((Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Load Attached to Free End of Constraint))^(1/3)

Static Deflection given Moment of Inertia of Shaft

LaTeX Go Static Deflection = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Moment of inertia of shaft)

Moment of Inertia of Shaft given Static Deflection

LaTeX Go Moment of inertia of shaft = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Static Deflection)

Load at Free End in Free Transverse Vibrations

LaTeX Go Load Attached to Free End of Constraint = (Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^3)

Natural Frequency of Free Transverse Vibrations Formula

LaTeX Go

Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi
f = (sqrt(s/W_attached))/2*pi

What is the difference between a Longitudinal and Transverse Waves?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Natural Frequency of Free Transverse Vibrations?

Natural Frequency of Free Transverse Vibrations calculator uses Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi to calculate the Frequency, Natural Frequency of Free Transverse Vibrations formula is defined as a measure of the frequency at which a system vibrates freely in the transverse direction, typically in mechanical systems, and is influenced by the stiffness of the system and the weight of the attached load. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Free Transverse Vibrations using this online calculator? To use this online calculator for Natural Frequency of Free Transverse Vibrations, enter Stiffness of Shaft (s) & Load Attached to Free End of Constraint (W_attached) and hit the calculate button. Here is how the Natural Frequency of Free Transverse Vibrations calculation can be explained with given input values -> 1.851587 = (sqrt(0.63/0.453411))/2*pi.

FAQ

What is Natural Frequency of Free Transverse Vibrations?

Natural Frequency of Free Transverse Vibrations formula is defined as a measure of the frequency at which a system vibrates freely in the transverse direction, typically in mechanical systems, and is influenced by the stiffness of the system and the weight of the attached load and is represented as f = (sqrt(s/W_attached))/2*pi or Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi. Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency & Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations.

How to calculate Natural Frequency of Free Transverse Vibrations?

Natural Frequency of Free Transverse Vibrations formula is defined as a measure of the frequency at which a system vibrates freely in the transverse direction, typically in mechanical systems, and is influenced by the stiffness of the system and the weight of the attached load is calculated using Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi. To calculate Natural Frequency of Free Transverse Vibrations, you need Stiffness of Shaft (s) & Load Attached to Free End of Constraint (W_attached). With our tool, you need to enter the respective value for Stiffness of Shaft & Load Attached to Free End of Constraint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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