Natural Frequency of Transverse Vibration due to Uniformly Distributed Load Calculator

✖Static deflection due to uniform load is the degree to which a structural element is displaced under uniform load (due to its deformation).ⓘ Static deflection due to uniform load [δ_s]

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✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Natural Frequency of Transverse Vibration due to Uniformly Distributed Load [f]

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Formula

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Natural Frequency of Transverse Vibration due to Uniformly Distributed Load

Formula

`"f" = 0.5615/(sqrt("δ"_{"s"}))`

Example

`"21.22271Hz"=0.5615/(sqrt("0.7mm"))`

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Download Longitudinal and Transverse Vibrations Formula PDF

Natural Frequency of Transverse Vibration due to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = 0.5615/(sqrt(Static deflection due to uniform load))
f = 0.5615/(sqrt(δ_s))
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 refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Static deflection due to uniform load - (Measured in Meter) - Static deflection due to uniform load is the degree to which a structural element is displaced under uniform load (due to its deformation).

STEP 1: Convert Input(s) to Base Unit

Static deflection due to uniform load: 0.7 Millimeter --> 0.0007 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = 0.5615/(sqrt(δ_s)) --> 0.5615/(sqrt(0.0007))

Evaluating ... ...

f = 21.2227051594681

STEP 3: Convert Result to Output's Unit

21.2227051594681 Hertz --> No Conversion Required

FINAL ANSWER

21.2227051594681 ≈ 21.22271 Hertz <-- Frequency

(Calculation completed in 00.020 seconds)

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< 3 Natural Frequency of Free Transverse Vibrations For a Shaft Subjected to a Number of Point Loads Calculators

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

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

Go Frequency = 0.5615/(sqrt(Static deflection due to uniform load))

Natural Frequency of Transverse Vibration due to Point Load

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

Natural Frequency of Transverse Vibration due to Uniformly Distributed Load Formula

Frequency = 0.5615/(sqrt(Static deflection due to uniform load))
f = 0.5615/(sqrt(δ_s))

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 Uniformly Distributed Load?

Natural Frequency of Transverse Vibration due to Uniformly Distributed Load calculator uses Frequency = 0.5615/(sqrt(Static deflection due to uniform load)) to calculate the Frequency, The Natural frequency of transverse vibration due to uniformly distributed load formula is defined as the frequency at which a system tends to oscillate in the absence of any driving or damping force. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Transverse Vibration due to Uniformly Distributed Load using this online calculator? To use this online calculator for Natural Frequency of Transverse Vibration due to Uniformly Distributed Load, enter Static deflection due to uniform load (δ_s) and hit the calculate button. Here is how the Natural Frequency of Transverse Vibration due to Uniformly Distributed Load calculation can be explained with given input values -> 21.22271 = 0.5615/(sqrt(0.0007)).

FAQ

What is Natural Frequency of Transverse Vibration due to Uniformly Distributed Load?

The Natural frequency of transverse vibration due to uniformly distributed load formula is defined as the frequency at which a system tends to oscillate in the absence of any driving or damping force and is represented as f = 0.5615/(sqrt(δ_s)) or Frequency = 0.5615/(sqrt(Static deflection due to uniform load)). Static deflection due to uniform load is the degree to which a structural element is displaced under uniform load (due to its deformation).

How to calculate Natural Frequency of Transverse Vibration due to Uniformly Distributed Load?

The Natural frequency of transverse vibration due to uniformly distributed load formula is defined as the frequency at which a system tends to oscillate in the absence of any driving or damping force is calculated using Frequency = 0.5615/(sqrt(Static deflection due to uniform load)). To calculate Natural Frequency of Transverse Vibration due to Uniformly Distributed Load, you need Static deflection due to uniform load (δ_s). With our tool, you need to enter the respective value for Static deflection due to uniform 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 uniform 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 = 0.4985/(sqrt(Static deflection due to point load))

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