Static Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Static Force = Deflection under Static Force*Stiffness of Spring
Fx = xo*k
This formula uses 3 Variables
Variables Used
Static Force - (Measured in Newton) - Static Force is a force that keeps an object at rest.
Deflection under Static Force - (Measured in Meter) - Deflection under Static Force is the deflection of system caused due to static force.
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.
STEP 1: Convert Input(s) to Base Unit
Deflection under Static Force: 0.33 Meter --> 0.33 Meter No Conversion Required
Stiffness of Spring: 60 Newton per Meter --> 60 Newton per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fx = xo*k --> 0.33*60
Evaluating ... ...
Fx = 19.8
STEP 3: Convert Result to Output's Unit
19.8 Newton --> No Conversion Required
FINAL ANSWER
19.8 Newton <-- Static Force
(Calculation completed in 00.020 seconds)

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
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15 Frequency of Under Damped Forced Vibrations Calculators

Total Displacement of Forced Vibrations
Go Total Displacement = Amplitude of Vibration*cos(Circular Damped Frequency-Phase Constant)+(Static Force*cos(Angular Velocity*Time Period-Phase Constant))/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Particular Integral
Go Particular Integral = (Static Force*cos(Angular Velocity*Time Period-Phase Constant))/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Maximum Displacement of Forced Vibration using Natural Frequency
Go Total Displacement = Static Force/(sqrt((Damping Coefficient*Angular Velocity/Stiffness of Spring)^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2))
Static Force using Maximum Displacement or Amplitude of Forced Vibration
Go Static Force = Total Displacement*(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Maximum Displacement of Forced Vibration
Go Total Displacement = Static Force/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Phase Constant
Go Phase Constant = atan((Damping Coefficient*Angular Velocity)/(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2))
Damping Coefficient
Go Damping Coefficient = (tan(Phase Constant)*(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2))/Angular Velocity
Maximum Displacement of Forced Vibration at Resonance
Go Total Displacement = Deflection under Static Force*Stiffness of Spring/(Damping Coefficient*Natural Circular Frequency)
Maximum Displacement of Forced Vibration with Negligible Damping
Go Total Displacement = Static Force/(Mass suspended from Spring*(Natural Circular Frequency^2-Angular Velocity^2))
Static Force when Damping is Negligible
Go Static Force = Total Displacement*(Mass suspended from Spring*Natural Circular Frequency^2-Angular Velocity^2)
Complementary Function
Go Complementary Function = Amplitude of Vibration*cos(Circular Damped Frequency-Phase Constant)
External Periodic Disturbing Force
Go External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period)
Deflection of System under Static Force
Go Deflection under Static Force = Static Force/Stiffness of Spring
Static Force
Go Static Force = Deflection under Static Force*Stiffness of Spring
Total Displacement of Forced Vibration given Particular Integral and Complementary Function
Go Total Displacement = Particular Integral+Complementary Function

Static Force Formula

Static Force = Deflection under Static Force*Stiffness of Spring
Fx = xo*k

What is undamped free vibration?

The simplest vibrations to analyze are undamped, free, one degree of freedom vibrations. "Undamped" means that there are no energy losses with movement (whether intentional, by adding dampers, or unintentional, through drag or friction). An undamped system will vibrate forever without any additional applied forces.

What is forced vibration?

Forced vibrations occur if a system is continuously driven by an external agency. A simple example is a child's swing that is pushed on each downswing. Of special interest are systems undergoing SHM and driven by sinusoidal forcing.

How to Calculate Static Force?

Static Force calculator uses Static Force = Deflection under Static Force*Stiffness of Spring to calculate the Static Force, The Static force formula is defined as a force that keeps an object at rest. A static force refers to a constant force applied to a stationary object. Static Force is denoted by Fx symbol.

How to calculate Static Force using this online calculator? To use this online calculator for Static Force, enter Deflection under Static Force (xo) & Stiffness of Spring (k) and hit the calculate button. Here is how the Static Force calculation can be explained with given input values -> 120 = 0.33*60.

FAQ

What is Static Force?
The Static force formula is defined as a force that keeps an object at rest. A static force refers to a constant force applied to a stationary object and is represented as Fx = xo*k or Static Force = Deflection under Static Force*Stiffness of Spring. Deflection under Static Force is the deflection of system caused due to static force & Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
How to calculate Static Force?
The Static force formula is defined as a force that keeps an object at rest. A static force refers to a constant force applied to a stationary object is calculated using Static Force = Deflection under Static Force*Stiffness of Spring. To calculate Static Force, you need Deflection under Static Force (xo) & Stiffness of Spring (k). With our tool, you need to enter the respective value for Deflection under Static Force & Stiffness of Spring 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 Force?
In this formula, Static Force uses Deflection under Static Force & Stiffness of Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Static Force = Total Displacement*(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
  • Static Force = Total Displacement*(Mass suspended from Spring*Natural Circular Frequency^2-Angular Velocity^2)
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