Force Resisting Additional Deflection of Centre of Gravity of Rotor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Stiffness of Spring*Additional Deflection of C.G of Rotor
F = k*y
This formula uses 3 Variables
Variables Used
Force - (Measured in Newton) - Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Additional Deflection of C.G of Rotor - (Measured in Meter) - Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.
STEP 1: Convert Input(s) to Base Unit
Stiffness of Spring: 3000 Newton per Meter --> 3000 Newton per Meter No Conversion Required
Additional Deflection of C.G of Rotor: 0.8 Millimeter --> 0.0008 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = k*y --> 3000*0.0008
Evaluating ... ...
F = 2.4
STEP 3: Convert Result to Output's Unit
2.4 Newton --> No Conversion Required
FINAL ANSWER
2.4 Newton <-- Force
(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur
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12 Critical or Whirling Speed of Shaft Calculators

Additional Deflection of Centre of Gravity of Rotor when Shaft Starts Rotating
Go Additional Deflection of C.G of Rotor = (Mass of Rotor*Angular Velocity^2*Initial Distance of Centre of Gravity of Rotor)/(Stiffness of Shaft-Mass of Rotor*Angular Velocity^2)
Stiffness of Shaft for Equilibrium Position
Go Stiffness of Shaft = (Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor))/Additional Deflection of C.G of Rotor
Additional Deflection of Centre of Gravity of Rotor using Natural Circular Frequency
Go Additional Deflection of C.G of Rotor = (Angular Velocity^2*Initial Distance of Centre of Gravity of Rotor)/(Natural Circular Frequency^2-Angular Velocity^2)
Mass of Rotor given Centrifugal Force
Go Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor))
Centrifugal Force Causing Shaft Deflection
Go Centrifugal Force = Maximum Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor)
Additional Deflection of Centre of Gravity of Rotor using Whirling Speed
Go Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1)
Static Deflection of Shaft
Go Static Deflection of Shaft = (Mass of Rotor*Acceleration due to Gravity)/Stiffness of Shaft
Critical or Whirling Speed given Static Deflection
Go Critical or Whirling Speed = sqrt(Acceleration due to Gravity/Static Deflection of Shaft)
Critical or Whirling Speed given Stiffness of Shaft
Go Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor)
Natural Circular Frequency of Shaft
Go Natural Circular Frequency = sqrt(Stiffness of Shaft/Mass of Rotor)
Critical or Whirling Speed in R.P.S
Go Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)
Force Resisting Additional Deflection of Centre of Gravity of Rotor
Go Force = Stiffness of Spring*Additional Deflection of C.G of Rotor

Force Resisting Additional Deflection of Centre of Gravity of Rotor Formula

Force = Stiffness of Spring*Additional Deflection of C.G of Rotor
F = k*y

What is meant by critical speed of a shaft which are the factors affecting it?

In solid mechanics, in the field of rotor-dynamics, the critical speed is the theoretical angular velocity that excites the natural frequency of a rotating object, such as a shaft, propeller, leadscrew, or gear. The factor which affects the critical speed of a shaft is diameter of the disc, span of the shaft, and eccentricity.

How to Calculate Force Resisting Additional Deflection of Centre of Gravity of Rotor?

Force Resisting Additional Deflection of Centre of Gravity of Rotor calculator uses Force = Stiffness of Spring*Additional Deflection of C.G of Rotor to calculate the Force, The Force Resisting Additional Deflection of Centre of Gravity of Rotor formula is defined as a push or pull upon an object resulting from the object's interaction with another object. Force is denoted by F symbol.

How to calculate Force Resisting Additional Deflection of Centre of Gravity of Rotor using this online calculator? To use this online calculator for Force Resisting Additional Deflection of Centre of Gravity of Rotor, enter Stiffness of Spring (k) & Additional Deflection of C.G of Rotor (y) and hit the calculate button. Here is how the Force Resisting Additional Deflection of Centre of Gravity of Rotor calculation can be explained with given input values -> 0.0006 = 3000*0.0008.

FAQ

What is Force Resisting Additional Deflection of Centre of Gravity of Rotor?
The Force Resisting Additional Deflection of Centre of Gravity of Rotor formula is defined as a push or pull upon an object resulting from the object's interaction with another object and is represented as F = k*y or Force = Stiffness of Spring*Additional Deflection of C.G of Rotor. Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness & Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.
How to calculate Force Resisting Additional Deflection of Centre of Gravity of Rotor?
The Force Resisting Additional Deflection of Centre of Gravity of Rotor formula is defined as a push or pull upon an object resulting from the object's interaction with another object is calculated using Force = Stiffness of Spring*Additional Deflection of C.G of Rotor. To calculate Force Resisting Additional Deflection of Centre of Gravity of Rotor, you need Stiffness of Spring (k) & Additional Deflection of C.G of Rotor (y). With our tool, you need to enter the respective value for Stiffness of Spring & Additional Deflection of C.G of Rotor 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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