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Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) Calculator

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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.ⓘ Frequency [f]

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✖Static Deflection is the maximum displacement of an object from its equilibrium position during free transverse vibrations, indicating its flexibility and stiffness.ⓘ Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) [δ]

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Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Deflection = (0.571/Frequency)^2
δ = (0.571/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 = (0.571/f)^2 --> (0.571/90)^2

Evaluating ... ...

δ = 4.0251975308642E-05

STEP 3: Convert Result to Output's Unit

4.0251975308642E-05 Meter --> No Conversion Required

FINAL ANSWER

4.0251975308642E-05 ≈ 4E-5 Meter <-- Static Deflection

(Calculation completed in 00.007 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Transverse Vibrations » Mechanical » Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load » Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load)

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National Institute Of Technology (NIT), Hamirpur

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< Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load Calculators

M.I of Shaft given Static Deflection for Fixed Shaft and Uniformly Distributed Load

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

Circular Frequency given Static Deflection (Shaft Fixed, Uniformly Distributed Load)

LaTeX Go Natural Circular Frequency = (2*pi*0.571)/(sqrt(Static Deflection))

Natural Frequency given Static Deflection (Shaft Fixed, Uniformly Distributed Load)

LaTeX Go Frequency = 0.571/(sqrt(Static Deflection))

Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load)

LaTeX Go Static Deflection = (0.571/Frequency)^2

Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) Formula

LaTeX Go

Static Deflection = (0.571/Frequency)^2
δ = (0.571/f)^2

What is a Transverse Wave definition?

Transverse wave, motion in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance. Surface ripples on water, seismic S (secondary) waves, and electromagnetic (e.g., radio and light) waves are examples of transverse waves.

How to Calculate Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load)?

Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) calculator uses Static Deflection = (0.571/Frequency)^2 to calculate the Static Deflection, Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) formula is defined as a measure of the maximum displacement of a shaft under uniformly distributed load, which is a critical parameter in mechanical engineering to determine the stability and performance of rotating machines. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) using this online calculator? To use this online calculator for Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load), enter Frequency (f) and hit the calculate button. Here is how the Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) calculation can be explained with given input values -> 4E-5 = (0.571/90)^2.

FAQ

What is Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load)?

Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) formula is defined as a measure of the maximum displacement of a shaft under uniformly distributed load, which is a critical parameter in mechanical engineering to determine the stability and performance of rotating machines and is represented as δ = (0.571/f)^2 or Static Deflection = (0.571/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 given Natural Frequency (Shaft Fixed, Uniformly Distributed Load)?

Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load) formula is defined as a measure of the maximum displacement of a shaft under uniformly distributed load, which is a critical parameter in mechanical engineering to determine the stability and performance of rotating machines is calculated using Static Deflection = (0.571/Frequency)^2. To calculate Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load), 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 = (Load per unit length*Length of Shaft^4)/(384*Young's Modulus*Moment of inertia of shaft)

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