Static Force Calculator

✖Deflection under static force refers to the displacement or deformation of a structure or object when subjected to a constant, unchanging force.ⓘ Deflection under Static Force [x_o]			+10% -10%
✖The stiffness of spring is a measure of its resistance to deformation when a force is applied, it quantifies how much the spring compresses or extends in response to a given load.ⓘ Stiffness of Spring [k]			+10% -10%

✖Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations.ⓘ Static Force [F_x]

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Static Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Force = Deflection under Static Force*Stiffness of Spring
F_x = x_o*k
This formula uses 3 Variables

Variables Used

Static Force - (Measured in Newton) - Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations.
Deflection under Static Force - (Measured in Meter) - Deflection under static force refers to the displacement or deformation of a structure or object when subjected to a constant, unchanging force.
Stiffness of Spring - (Measured in Newton per Meter) - The stiffness of spring is a measure of its resistance to deformation when a force is applied, it quantifies how much the spring compresses or extends in response to a given load.

STEP 1: Convert Input(s) to Base Unit

Deflection under Static Force: 0.3333333 Meter --> 0.3333333 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

F_x = x_o*k --> 0.3333333*60

Evaluating ... ...

F_x = 19.999998

STEP 3: Convert Result to Output's Unit

19.999998 Newton --> No Conversion Required

FINAL ANSWER

19.999998 ≈ 20 Newton <-- Static Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Frequency of Under Damped Forced Vibrations » Static Force

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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< Frequency of Under Damped Forced Vibrations Calculators

Static Force using Maximum Displacement or Amplitude of Forced Vibration

LaTeX Go Static Force = Maximum Displacement*(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))

Static Force when Damping is Negligible

LaTeX Go Static Force = Maximum Displacement*(Mass suspended from Spring)*(Natural Frequency^2-Angular Velocity^2)

Deflection of System under Static Force

LaTeX Go Deflection under Static Force = Static Force/Stiffness of Spring

Static Force

LaTeX Go Static Force = Deflection under Static Force*Stiffness of Spring

Static Force Formula

LaTeX Go

Static Force = Deflection under Static Force*Stiffness of Spring
F_x = x_o*k

What is Static Force?

Static force refers to a constant force applied to an object that does not cause it to move or change its position. It acts in a steady manner, counterbalancing other forces in the system, and is often associated with structural loads or forces that maintain equilibrium. In mechanical systems, static forces can arise from weights, supports, or external loads that remain unchanged over time.

How to Calculate Static Force?

Static Force calculator uses Static Force = Deflection under Static Force*Stiffness of Spring to calculate the Static Force, Static Force formula is defined as the measure of the force exerted on an object in a specific direction, typically in a mechanical system, which is essential in understanding the behavior of objects under various types of forces, such as friction, normal force, and tension, in different contexts like physics and engineering. Static Force is denoted by F_x symbol.

How to calculate Static Force using this online calculator? To use this online calculator for Static Force, enter Deflection under Static Force (x_o) & Stiffness of Spring (k) and hit the calculate button. Here is how the Static Force calculation can be explained with given input values -> 19.99998 = 0.3333333*60.

FAQ

What is Static Force?

Static Force formula is defined as the measure of the force exerted on an object in a specific direction, typically in a mechanical system, which is essential in understanding the behavior of objects under various types of forces, such as friction, normal force, and tension, in different contexts like physics and engineering and is represented as F_x = x_o*k or Static Force = Deflection under Static Force*Stiffness of Spring. Deflection under static force refers to the displacement or deformation of a structure or object when subjected to a constant, unchanging force & The stiffness of spring is a measure of its resistance to deformation when a force is applied, it quantifies how much the spring compresses or extends in response to a given load.

How to calculate Static Force?

Static Force formula is defined as the measure of the force exerted on an object in a specific direction, typically in a mechanical system, which is essential in understanding the behavior of objects under various types of forces, such as friction, normal force, and tension, in different contexts like physics and engineering is calculated using Static Force = Deflection under Static Force*Stiffness of Spring. To calculate Static Force, you need Deflection under Static Force (x_o) & 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 = Maximum Displacement*(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Static Force = Maximum Displacement*(Mass suspended from Spring)*(Natural Frequency^2-Angular Velocity^2)

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