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Natural Frequency of Transverse Vibration due to Point Load Calculator

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

✖Static deflection due to point load is the maximum displacement of a beam's point of application of a load in free transverse vibrations.ⓘ Static deflection due to point load [δ₁]

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✖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 Transverse Vibration due to Point Load [f]

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Natural Frequency of Transverse Vibration due to Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = 0.4985/(sqrt(Static deflection due to point load))
f = 0.4985/(sqrt(δ₁))
This formula uses 1 Functions, 2 Variables

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.
Static deflection due to point load - (Measured in Meter) - Static deflection due to point load is the maximum displacement of a beam's point of application of a load in free transverse vibrations.

STEP 1: Convert Input(s) to Base Unit

Static deflection due to point load: 0.9 Meter --> 0.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = 0.4985/(sqrt(δ₁)) --> 0.4985/(sqrt(0.9))

Evaluating ... ...

f = 0.525465137864646

STEP 3: Convert Result to Output's Unit

0.525465137864646 Hertz --> No Conversion Required

FINAL ANSWER

0.525465137864646 ≈ 0.525465 Hertz <-- Frequency

(Calculation completed in 00.004 seconds)

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< Shaft Subjected to a Number of Point Loads Calculators

Dunkerley's Empirical Formula, for Natural Frequency of Whole System

LaTeX Go Frequency = 0.4985/sqrt(Static deflection due to point load+Static Deflection due to Uniform Load/1.27)

Natural Frequency of Transverse Vibration due to Uniformly Distributed Load

LaTeX Go Frequency = 0.5615/(sqrt(Static Deflection due to Uniform Load))

Natural Frequency of Transverse Vibration due to Point Load

LaTeX Go Frequency = 0.4985/(sqrt(Static deflection due to point load))

Natural Frequency of Transverse Vibration due to Point Load Formula

LaTeX Go

Frequency = 0.4985/(sqrt(Static deflection due to point load))
f = 0.4985/(sqrt(δ₁))

What is Natural Frequency?

Natural frequency, also known as eigenfrequency, is the frequency at which a system tends to oscillate in the absence of any driving or damping force. The motion pattern of a system oscillating at its natural frequency is called the normal mode (if all parts of the system move sinusoidally with that same frequency).

How to Calculate Natural Frequency of Transverse Vibration due to Point Load?

Natural Frequency of Transverse Vibration due to Point Load calculator uses Frequency = 0.4985/(sqrt(Static deflection due to point load)) to calculate the Frequency, Natural Frequency of Transverse Vibration due to Point Load formula is defined as a measure of the frequency at which a system vibrates when subjected to a point load, providing insight into the dynamic behavior of structures and their response to external forces. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Transverse Vibration due to Point Load using this online calculator? To use this online calculator for Natural Frequency of Transverse Vibration due to Point Load, enter Static deflection due to point load (δ₁) and hit the calculate button. Here is how the Natural Frequency of Transverse Vibration due to Point Load calculation can be explained with given input values -> 0.525465 = 0.4985/(sqrt(0.9)).

FAQ

What is Natural Frequency of Transverse Vibration due to Point Load?

Natural Frequency of Transverse Vibration due to Point Load formula is defined as a measure of the frequency at which a system vibrates when subjected to a point load, providing insight into the dynamic behavior of structures and their response to external forces and is represented as f = 0.4985/(sqrt(δ₁)) or Frequency = 0.4985/(sqrt(Static deflection due to point load)). Static deflection due to point load is the maximum displacement of a beam's point of application of a load in free transverse vibrations.

How to calculate Natural Frequency of Transverse Vibration due to Point Load?

Natural Frequency of Transverse Vibration due to Point Load formula is defined as a measure of the frequency at which a system vibrates when subjected to a point load, providing insight into the dynamic behavior of structures and their response to external forces is calculated using Frequency = 0.4985/(sqrt(Static deflection due to point load)). To calculate Natural Frequency of Transverse Vibration due to Point Load, you need Static deflection due to point load (δ₁). With our tool, you need to enter the respective value for Static deflection due to point load 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 Frequency?

In this formula, Frequency uses Static deflection due to point load. We can use 2 other way(s) to calculate the same, which is/are as follows -

Frequency = 0.4985/sqrt(Static deflection due to point load+Static Deflection due to Uniform Load/1.27)
Frequency = 0.5615/(sqrt(Static Deflection due to Uniform Load))

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