LCM of two numbers

Static Deflection using Natural Frequency Calculator

Physics Chemistry Engineering Financial More >>

↳

Mechanical Aerospace Basic Physics Others and Extra

⤿

Theory of Machine Automobile Design of Automobile Elements Design of Machine Elements More >>

⤿

Vibrations Balancing of Rotating Masses Belt, Rope and Chain Drives Brakes and Dynamometers More >>

⤿

Longitudinal and Transverse Vibrations Torsional Vibrations

⤿

Natural Frequency of Free Transverse Vibrations Load for Various Types of Beams and Load Conditions Critical or Whirling Speed of Shaft Effect of Inertia of Constraint in Longitudinal and Transverse Vibrations More >>

⤿

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

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

+10%

-10%

✖Static Deflection is the maximum displacement of an object from its equilibrium position during free transverse vibrations, indicating its flexibility and stiffness.ⓘ Static Deflection using Natural Frequency [δ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Longitudinal and Transverse Vibrations Formula PDF PDF Image

Static Deflection using Natural Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Deflection = (0.5615/Frequency)^2
δ = (0.5615/f)^2
This formula uses 2 Variables

Variables Used

Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of an object from its equilibrium position during free transverse vibrations, indicating its flexibility and stiffness.
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.

STEP 1: Convert Input(s) to Base Unit

Frequency: 90 Hertz --> 90 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (0.5615/f)^2 --> (0.5615/90)^2

Evaluating ... ...

δ = 3.89237345679012E-05

STEP 3: Convert Result to Output's Unit

3.89237345679012E-05 Meter --> No Conversion Required

FINAL ANSWER

3.89237345679012E-05 ≈ 3.9E-5 Meter <-- Static Deflection

(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 » Mechanical » Uniformly Distributed Load Acting Over a Simply Supported Shaft » Static Deflection using Natural Frequency

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!

< Uniformly Distributed Load Acting Over a Simply Supported Shaft Calculators

Length of Shaft given Static Deflection

LaTeX Go Length of Shaft = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(5*Load per unit length))^(1/4)

Uniformly Distributed Load Unit Length given Static Deflection

LaTeX Go Load per unit length = (Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(5*Length of Shaft^4)

Circular Frequency given Static Deflection

LaTeX Go Natural Circular Frequency = 2*pi*0.5615/(sqrt(Static Deflection))

Natural Frequency given Static Deflection

LaTeX Go Frequency = 0.5615/(sqrt(Static Deflection))

Static Deflection using Natural Frequency Formula

LaTeX Go

Static Deflection = (0.5615/Frequency)^2
δ = (0.5615/f)^2

What is Transverse and Longitudinal Vibration?

The difference between transverse and longitudinal waves is the direction in which the waves shake. If the wave shakes perpendicular to the movement direction, it's a transverse wave, if it shakes in the movement direction, then it's a longitudinal wave.

How to Calculate Static Deflection using Natural Frequency?

Static Deflection using Natural Frequency calculator uses Static Deflection = (0.5615/Frequency)^2 to calculate the Static Deflection, Static Deflection using Natural Frequency formula is defined as a measure of the maximum displacement of an object from its equilibrium position when subjected to a force, calculated using the natural frequency of free transverse vibrations, providing insight into the object's stiffness and damping characteristics. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection using Natural Frequency using this online calculator? To use this online calculator for Static Deflection using Natural Frequency, enter Frequency (f) and hit the calculate button. Here is how the Static Deflection using Natural Frequency calculation can be explained with given input values -> 3.9E-5 = (0.5615/90)^2.

FAQ

What is Static Deflection using Natural Frequency?

Static Deflection using Natural Frequency formula is defined as a measure of the maximum displacement of an object from its equilibrium position when subjected to a force, calculated using the natural frequency of free transverse vibrations, providing insight into the object's stiffness and damping characteristics and is represented as δ = (0.5615/f)^2 or Static Deflection = (0.5615/Frequency)^2. Frequency is the number of oscillations or cycles per second of a system undergoing free transverse vibrations, characterizing its natural vibrational behavior.

How to calculate Static Deflection using Natural Frequency?

Static Deflection using Natural Frequency formula is defined as a measure of the maximum displacement of an object from its equilibrium position when subjected to a force, calculated using the natural frequency of free transverse vibrations, providing insight into the object's stiffness and damping characteristics is calculated using Static Deflection = (0.5615/Frequency)^2. To calculate Static Deflection using Natural Frequency, you need Frequency (f). With our tool, you need to enter the respective value for Frequency 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 Static Deflection?

In this formula, Static Deflection uses Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Static Deflection = (5*Load per unit length*Length of Shaft^4)/(384*Young's Modulus*Moment of inertia of shaft)

Home

FREE PDFs

🔍 Search