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Restoring Force using Stiffness of Shaft Calculator

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✖Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.ⓘ Stiffness of Shaft [s]			+10% -10%
✖Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.ⓘ Displacement of Body [s_body]			+10% -10%

✖Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Restoring Force using Stiffness of Shaft [F]

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Restoring Force using Stiffness of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force = -Stiffness of Shaft*Displacement of Body
F = -s*s_body
This formula uses 3 Variables

Variables Used

Force - (Measured in Newton) - Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Stiffness of Shaft - (Measured in Newton per Meter) - Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.
Displacement of Body - (Measured in Meter) - Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Shaft: 0.63 Newton per Meter --> 0.63 Newton per Meter No Conversion Required
Displacement of Body: -10.367 Meter --> -10.367 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = -s*s_body --> -0.63*(-10.367)

Evaluating ... ...

F = 6.53121

STEP 3: Convert Result to Output's Unit

6.53121 Newton --> No Conversion Required

FINAL ANSWER

6.53121 Newton <-- Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Transverse Vibrations » Mechanical » General Shaft » Restoring Force using Stiffness of Shaft

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< General Shaft Calculators

Length of Shaft

Go Length of Shaft = ((Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Load Attached to Free End of Constraint))^(1/3)

Static Deflection given Moment of Inertia of Shaft

Go Static Deflection = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Moment of inertia of shaft)

Moment of Inertia of Shaft given Static Deflection

Go Moment of inertia of shaft = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Static Deflection)

Load at Free End in Free Transverse Vibrations

Go Load Attached to Free End of Constraint = (Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^3)

Restoring Force using Stiffness of Shaft Formula

LaTeX Go

Force = -Stiffness of Shaft*Displacement of Body
F = -s*s_body

What is the difference between a Longitudinal and Transverse Waves?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Restoring Force using Stiffness of Shaft?

Restoring Force using Stiffness of Shaft calculator uses Force = -Stiffness of Shaft*Displacement of Body to calculate the Force, Restoring Force using Stiffness of Shaft formula is defined as a measure of the force that tends to return an object to its original position after it has been displaced from its equilibrium position, typically observed in mechanical systems such as springs and shafts. Force is denoted by F symbol.

How to calculate Restoring Force using Stiffness of Shaft using this online calculator? To use this online calculator for Restoring Force using Stiffness of Shaft, enter Stiffness of Shaft (s) & Displacement of Body (s_body) and hit the calculate button. Here is how the Restoring Force using Stiffness of Shaft calculation can be explained with given input values -> 6.53121 = -0.63*(-10.367).

FAQ

What is Restoring Force using Stiffness of Shaft?

Restoring Force using Stiffness of Shaft formula is defined as a measure of the force that tends to return an object to its original position after it has been displaced from its equilibrium position, typically observed in mechanical systems such as springs and shafts and is represented as F = -s*s_body or Force = -Stiffness of Shaft*Displacement of Body. Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency & Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.

How to calculate Restoring Force using Stiffness of Shaft?

Restoring Force using Stiffness of Shaft formula is defined as a measure of the force that tends to return an object to its original position after it has been displaced from its equilibrium position, typically observed in mechanical systems such as springs and shafts is calculated using Force = -Stiffness of Shaft*Displacement of Body. To calculate Restoring Force using Stiffness of Shaft, you need Stiffness of Shaft (s) & Displacement of Body (s_body). With our tool, you need to enter the respective value for Stiffness of Shaft & Displacement of Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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