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Natural Frequency of Transverse Vibration due to Point Load Formula

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

GoNatural Frequency of Transverse Vibration due to Uniformly Distributed Load Formula

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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. Check FAQs

f = \frac{0.4985}{\sqrt{δ 1}}

f - Frequency?δ₁ - Static deflection due to point load?

Natural Frequency of Transverse Vibration due to Point Load Example

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Here is how the Natural Frequency of Transverse Vibration due to Point Load equation looks like with Values.

Here is how the Natural Frequency of Transverse Vibration due to Point Load equation looks like with Units.

Here is how the Natural Frequency of Transverse Vibration due to Point Load equation looks like.

0.5255 = \frac{0.4985}{\sqrt{0.9}}

0.5255Hz = \frac{0.4985}{\sqrt{0.9m}}

0.5255 = \frac{0.4985}{\sqrt{0.9}}

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Natural Frequency of Transverse Vibration due to Point Load Solution

Follow our step by step solution on how to calculate Natural Frequency of Transverse Vibration due to Point Load?

FIRST Step Consider the formula

f = \frac{0.4985}{\sqrt{δ 1}}

Next Step Substitute values of Variables

∴

f = \frac{0.4985}{\sqrt{0.9m}}

Next Step Prepare to Evaluate

∴

f = \frac{0.4985}{\sqrt{0.9}}

Next Step Evaluate

∴

f = 0.525465137864646Hz

LAST Step Rounding Answer

∴

f = 0.5255Hz

Natural Frequency of Transverse Vibration due to Point Load Formula Elements

Variables

Functions

Frequency

Frequency is the number of oscillations or cycles per second of a system undergoing free transverse vibrations, characterizing its natural vibrational behavior.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency

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.

Symbol: δ₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static deflection due to point load

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.

Syntax: sqrt(Number)

Other Formulas to find Frequency

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

f = \frac{0.4985}{\sqrt{δ 1 + \frac{δ s}{1.27}}}

Go Natural Frequency of Transverse Vibration due to Uniformly Distributed Load

f = \frac{0.5615}{\sqrt{δ s}}

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

Natural Frequency of Transverse Vibration due to Point Load evaluator uses Frequency = 0.4985/(sqrt(Static deflection due to point load)) to evaluate 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 evaluate Natural Frequency of Transverse Vibration due to Point Load using this online evaluator? To use this online evaluator for Natural Frequency of Transverse Vibration due to Point Load, enter Static deflection due to point load (δ₁) and hit the calculate button.

FAQs on Natural Frequency of Transverse Vibration due to Point Load

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

The formula of Natural Frequency of Transverse Vibration due to Point Load is expressed as Frequency = 0.4985/(sqrt(Static deflection due to point load)). Here is an example- 0.525465 = 0.4985/(sqrt(0.9)).

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

With Static deflection due to point load (δ₁) we can find Natural Frequency of Transverse Vibration due to Point Load using the formula - Frequency = 0.4985/(sqrt(Static deflection due to point load)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Frequency?

Here are the different ways to Calculate Frequency-

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))

Can the Natural Frequency of Transverse Vibration due to Point Load be negative?

Yes, the Natural Frequency of Transverse Vibration due to Point Load, measured in Frequency can be negative.

Which unit is used to measure Natural Frequency of Transverse Vibration due to Point Load?

Natural Frequency of Transverse Vibration due to Point Load is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Natural Frequency of Transverse Vibration due to Point Load can be measured.

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