Natural Frequency of Transverse Vibration due to Point Load Calculator

✖Static deflection due to point load is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Static deflection due to point load [δ₁]

+10%

-10%

✖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 Point Load [f]

⎘ Copy

👎

Formula

✖

Natural Frequency of Transverse Vibration due to Point Load

Formula

`"f" = 0.4985/(sqrt("δ"_{"1"}))`

Example

`"16.61667Hz"=0.4985/(sqrt("0.9mm"))`

Calculator

LaTeX

Reset

👍

Download Longitudinal and Transverse Vibrations Formula PDF PDF Image

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

STEP 1: Convert Input(s) to Base Unit

Static deflection due to point load: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = 0.4985/(sqrt(δ₁)) --> 0.4985/(sqrt(0.0009))

Evaluating ... ...

f = 16.6166666666667

STEP 3: Convert Result to Output's Unit

16.6166666666667 Hertz --> No Conversion Required

FINAL ANSWER

16.6166666666667 ≈ 16.61667 Hertz <-- Frequency

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Transverse Vibrations For a Shaft Subjected to a Number of Point Loads » Natural Frequency of Transverse Vibration due to Point Load

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 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 Point Load Formula

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, The Natural frequency of transverse vibration due to point 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 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 -> 16.61667 = 0.4985/(sqrt(0.0009)).

FAQ

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

The Natural frequency of transverse vibration due to point 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 = 0.4985/(sqrt(δ₁)) or Frequency = 0.4985/(sqrt(Static deflection due to point load)). Static deflection due to point load is the degree to which a structural element is displaced under a load (due to its deformation).

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

The Natural frequency of transverse vibration due to point 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 = 0.4985/(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))

Home

FREE PDFs

🔍 Search