Combined Stiffness of Three Springs Connected in Series Calculator

✖Stiffness of 1st Spring is the measure of resistance to deformation of the first spring in a series or parallel connection of springs.ⓘ Stiffness of 1st Spring [K₁]			+10% -10%
✖Stiffness of 2nd Spring is the measure of resistance to deformation of the second spring in a system of springs connected in series or parallel.ⓘ Stiffness of 2nd Spring [K₂]			+10% -10%
✖Stiffness of 3rd Spring in Series is the measure of resistance to deformation of the third spring when multiple springs are connected in series.ⓘ Stiffness of 3rd Spring in Series [k_{3 S}]			+10% -10%

✖Equivalent Spring Stiffness Connected in Series is the combined stiffness of multiple springs connected in series in a mechanical system.ⓘ Combined Stiffness of Three Springs Connected in Series [K_{eq S}]

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Combined Stiffness of Three Springs Connected in Series Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series+Stiffness of 3rd Spring in Series*Stiffness of 1st Spring)
K_{eq S} = K₁*K₂*k_{3 S}/(K₁*K₂+K₂*k_{3 S}+k_{3 S}*K₁)
This formula uses 4 Variables

Variables Used

Equivalent Spring Stiffness Connected in Series - (Measured in Newton per Meter) - Equivalent Spring Stiffness Connected in Series is the combined stiffness of multiple springs connected in series in a mechanical system.
Stiffness of 1st Spring - (Measured in Newton per Meter) - Stiffness of 1st Spring is the measure of resistance to deformation of the first spring in a series or parallel connection of springs.
Stiffness of 2nd Spring - (Measured in Newton per Meter) - Stiffness of 2nd Spring is the measure of resistance to deformation of the second spring in a system of springs connected in series or parallel.
Stiffness of 3rd Spring in Series - (Measured in Newton per Meter) - Stiffness of 3rd Spring in Series is the measure of resistance to deformation of the third spring when multiple springs are connected in series.

STEP 1: Convert Input(s) to Base Unit

Stiffness of 1st Spring: 15 Newton per Millimeter --> 15000 Newton per Meter (Check conversion here)
Stiffness of 2nd Spring: 12 Newton per Millimeter --> 12000 Newton per Meter (Check conversion here)
Stiffness of 3rd Spring in Series: 700 Newton per Millimeter --> 700000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_{eq S} = K₁*K₂*k_{3 S}/(K₁*K₂+K₂*k_{3 S}+k_{3 S}*K₁) --> 15000*12000*700000/(15000*12000+12000*700000+700000*15000)

Evaluating ... ...

K_{eq S} = 6603.77358490566

STEP 3: Convert Result to Output's Unit

6603.77358490566 Newton per Meter -->6.60377358490566 Newton per Millimeter (Check conversion here)

FINAL ANSWER

6.60377358490566 ≈ 6.603774 Newton per Millimeter <-- Equivalent Spring Stiffness Connected in Series

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Series and Parallel Connections Calculators

Combined Stiffness of Three Springs Connected in Series

LaTeX Go Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series+Stiffness of 3rd Spring in Series*Stiffness of 1st Spring)

Combined Stiffness of Two Springs Connected in Series

LaTeX Go Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring/(Stiffness of 1st Spring+Stiffness of 2nd Spring)

Combined Stiffness of 3 Springs when Connected in Parallel

LaTeX Go Equivalent Spring Stiffness connected in parallel = Stiffness of 1st Spring+Stiffness of 2nd Spring+Stiffness of 3rd Spring in Parallel

Combined Stiffness of 2 Springs when Connected in Parallel

LaTeX Go Equivalent Spring Stiffness connected in parallel = Stiffness of 1st Spring+Stiffness of 2nd Spring

Combined Stiffness of Three Springs Connected in Series Formula

LaTeX Go

Define a Series Connection?

A series connection in structures, such as springs connected in series, means that the elements are arranged one after another, so the same force acts through each element. In a series spring arrangement, the total displacement is the sum of the individual displacements of each spring, but the force experienced by each spring is the same. This setup reduces the overall stiffness of the system, as the combined spring constant is less than the smallest individual spring constant. Series connections are used to achieve greater flexibility and larger displacements in mechanical systems.

How to Calculate Combined Stiffness of Three Springs Connected in Series?

Combined Stiffness of Three Springs Connected in Series calculator uses Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series+Stiffness of 3rd Spring in Series*Stiffness of 1st Spring) to calculate the Equivalent Spring Stiffness Connected in Series, Combined Stiffness of Three Springs Connected in Series formula is defined as a measure of the total stiffness of three springs connected in a series configuration, which determines the overall stiffness of the system and its ability to resist deformation under an applied force. Equivalent Spring Stiffness Connected in Series is denoted by K_{eq S} symbol.

How to calculate Combined Stiffness of Three Springs Connected in Series using this online calculator? To use this online calculator for Combined Stiffness of Three Springs Connected in Series, enter Stiffness of 1st Spring (K₁), Stiffness of 2nd Spring (K₂) & Stiffness of 3rd Spring in Series (k_{3 S}) and hit the calculate button. Here is how the Combined Stiffness of Three Springs Connected in Series calculation can be explained with given input values -> 0.006579 = 15000*12000*700000/(15000*12000+12000*700000+700000*15000).

FAQ

What is Combined Stiffness of Three Springs Connected in Series?

Combined Stiffness of Three Springs Connected in Series formula is defined as a measure of the total stiffness of three springs connected in a series configuration, which determines the overall stiffness of the system and its ability to resist deformation under an applied force and is represented as K_{eq S} = K₁*K₂*k_{3 S}/(K₁*K₂+K₂*k_{3 S}+k_{3 S}*K₁) or Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series+Stiffness of 3rd Spring in Series*Stiffness of 1st Spring). Stiffness of 1st Spring is the measure of resistance to deformation of the first spring in a series or parallel connection of springs, Stiffness of 2nd Spring is the measure of resistance to deformation of the second spring in a system of springs connected in series or parallel & Stiffness of 3rd Spring in Series is the measure of resistance to deformation of the third spring when multiple springs are connected in series.

How to calculate Combined Stiffness of Three Springs Connected in Series?

Combined Stiffness of Three Springs Connected in Series formula is defined as a measure of the total stiffness of three springs connected in a series configuration, which determines the overall stiffness of the system and its ability to resist deformation under an applied force is calculated using Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Series+Stiffness of 3rd Spring in Series*Stiffness of 1st Spring). To calculate Combined Stiffness of Three Springs Connected in Series, you need Stiffness of 1st Spring (K₁), Stiffness of 2nd Spring (K₂) & Stiffness of 3rd Spring in Series (k_{3 S}). With our tool, you need to enter the respective value for Stiffness of 1st Spring, Stiffness of 2nd Spring & Stiffness of 3rd Spring in Series 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 Equivalent Spring Stiffness Connected in Series?

In this formula, Equivalent Spring Stiffness Connected in Series uses Stiffness of 1st Spring, Stiffness of 2nd Spring & Stiffness of 3rd Spring in Series. We can use 1 other way(s) to calculate the same, which is/are as follows -

Equivalent Spring Stiffness Connected in Series = Stiffness of 1st Spring*Stiffness of 2nd Spring/(Stiffness of 1st Spring+Stiffness of 2nd Spring)

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