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Static Force Formula

GoStatic Force using Maximum Displacement or Amplitude of Forced Vibration Formula

GoStatic Force when Damping is Negligible Formula

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Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations. Check FAQs

F x = x o \cdot k

F_x - Static Force?x_o - Deflection under Static Force?k - Stiffness of Spring?

Static Force Example

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With units

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Here is how the Static Force equation looks like with Values.

Here is how the Static Force equation looks like with Units.

Here is how the Static Force equation looks like.

20 = 0.3333 \cdot 60

20N = 0.3333m \cdot 60N/m

20 = 0.3333 \cdot 60

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Static Force Solution

Follow our step by step solution on how to calculate Static Force?

FIRST Step Consider the formula

F x = x o \cdot k

Next Step Substitute values of Variables

∴

F x = 0.3333m \cdot 60N/m

Next Step Prepare to Evaluate

∴

F x = 0.3333 \cdot 60

Next Step Evaluate

∴

F x = 19.999998N

LAST Step Rounding Answer

∴

F x = 20N

Static Force Formula Elements

Variables

Static Force

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

Symbol: F_x

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Static Force

Deflection under Static Force

Deflection under static force refers to the displacement or deformation of a structure or object when subjected to a constant, unchanging force.

Symbol: x_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deflection under Static Force

Stiffness of Spring

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.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Other Formulas to find Static Force

Go Static Force using Maximum Displacement or Amplitude of Forced Vibration

F x = d max \cdot (\sqrt{{(c \cdot ω)}^{2} - {(k - m \cdot ω^{2})}^{2}})

Go Static Force when Damping is Negligible

F x = d max \cdot (m) \cdot ({ω nat}^{2} - ω^{2})

Other formulas in Frequency of Under Damped Forced Vibrations category

Go Deflection of System under Static Force

x o = \frac{F x}{k}

Go Maximum Displacement of Forced Vibration at Resonance

d max = x o \cdot \frac{k}{c \cdot ω n}

Go Maximum Displacement of Forced Vibration with Negligible Damping

d max = \frac{F x}{m \cdot ({ω nat}^{2} - ω^{2})}

Go Maximum Displacement of Forced Vibration using Natural Frequency

d max = \frac{x}{\sqrt{\frac{(c^{2}) \cdot (ω^{2})}{k^{2}}} + {(1 - (\frac{ω^{2}}{{ω n}^{2}}))}^{2}}

How to Evaluate Static Force?

Static Force evaluator uses Static Force = Deflection under Static Force*Stiffness of Spring to evaluate 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 evaluate Static Force using this online evaluator? To use this online evaluator for Static Force, enter Deflection under Static Force (x_o) & Stiffness of Spring (k) and hit the calculate button.

FAQs on Static Force

What is the formula to find Static Force?

The formula of Static Force is expressed as Static Force = Deflection under Static Force*Stiffness of Spring. Here is an example- 19.99998 = 0.3333333*60.

How to calculate Static Force?

With Deflection under Static Force (x_o) & Stiffness of Spring (k) we can find Static Force using the formula - Static Force = Deflection under Static Force*Stiffness of Spring.

What are the other ways to Calculate Static Force?

Here are the different ways to Calculate Static Force-

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)

Can the Static Force be negative?

No, the Static Force, measured in Force cannot be negative.

Which unit is used to measure Static Force?

Static Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Static Force can be measured.

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Static Force Formula

​GoStatic Force using Maximum Displacement or Amplitude of Forced Vibration Formula

​GoStatic Force when Damping is Negligible Formula

Static Force Example

Static Force Solution

Static Force Formula Elements

Other Formulas to find Static Force

Other formulas in Frequency of Under Damped Forced Vibrations category

How to Evaluate Static Force?

FAQs on Static Force

Variable Name

GoStatic Force using Maximum Displacement or Amplitude of Forced Vibration Formula

GoStatic Force when Damping is Negligible Formula