Deflection of System under Static Force Calculator

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

✖Deflection under static force refers to the displacement or deformation of a structure or object when subjected to a constant, unchanging force.ⓘ Deflection of System under Static Force [x_o]

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Deflection of System under Static Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Static Force: 20 Newton --> 20 Newton 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

x_o = F_x/k --> 20/60

Evaluating ... ...

x_o = 0.333333333333333

STEP 3: Convert Result to Output's Unit

0.333333333333333 Meter --> No Conversion Required

FINAL ANSWER

0.333333333333333 ≈ 0.333333 Meter <-- Deflection under Static Force

(Calculation completed in 00.020 seconds)

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

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National Institute Of Technology (NIT), Hamirpur

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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

Deflection of System under Static Force Formula

LaTeX Go

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

What is Free Vibration?

Free vibration refers to the oscillation of a system that occurs in the absence of external forces after an initial disturbance. When the system is set in motion, it will vibrate at its natural frequency, which is determined by its mass and stiffness. The amplitude of the vibrations will gradually decrease over time due to damping effects, such as friction or air resistance, unless the system is perfectly isolated. Free vibrations are important for understanding how systems respond to initial displacements and are commonly observed in mechanical systems like springs and pendulums.

How to Calculate Deflection of System under Static Force?

Deflection of System under Static Force calculator uses Deflection under Static Force = Static Force/Stiffness of Spring to calculate the Deflection under Static Force, Deflection of System under Static Force formula is defined as a measure of the displacement of a system from its equilibrium position when a static force is applied, providing insight into the system's stiffness and ability to resist deformation under external loads. Deflection under Static Force is denoted by x_o symbol.

How to calculate Deflection of System under Static Force using this online calculator? To use this online calculator for Deflection of System under Static Force, enter Static Force (F_x) & Stiffness of Spring (k) and hit the calculate button. Here is how the Deflection of System under Static Force calculation can be explained with given input values -> 0.333333 = 20/60.

FAQ

What is Deflection of System under Static Force?

Deflection of System under Static Force formula is defined as a measure of the displacement of a system from its equilibrium position when a static force is applied, providing insight into the system's stiffness and ability to resist deformation under external loads and is represented as x_o = F_x/k or Deflection under Static Force = Static Force/Stiffness of Spring. Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations & 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 Deflection of System under Static Force?

Deflection of System under Static Force formula is defined as a measure of the displacement of a system from its equilibrium position when a static force is applied, providing insight into the system's stiffness and ability to resist deformation under external loads is calculated using Deflection under Static Force = Static Force/Stiffness of Spring. To calculate Deflection of System under Static Force, you need Static Force (F_x) & Stiffness of Spring (k). With our tool, you need to enter the respective value for 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.

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