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Combined Stiffness of Three Springs Connected in Series Formula

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Equivalent Spring Stiffness Connected in Series is the combined stiffness of multiple springs connected in series in a mechanical system. Check FAQs

K eq S = K 1 \cdot K 2 \cdot \frac{k 3 S}{K 1 \cdot K 2 + K 2 \cdot k 3 S + k 3 S \cdot K 1}

K_{eq S} - Equivalent Spring Stiffness Connected in Series?K₁ - Stiffness of 1st Spring?K₂ - Stiffness of 2nd Spring?k_{3 S} - Stiffness of 3rd Spring in Series?

Combined Stiffness of Three Springs Connected in Series Example

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Here is how the Combined Stiffness of Three Springs Connected in Series equation looks like with Values.

Here is how the Combined Stiffness of Three Springs Connected in Series equation looks like with Units.

Here is how the Combined Stiffness of Three Springs Connected in Series equation looks like.

6.6038 = 15 \cdot 12 \cdot \frac{700}{15 \cdot 12 + 12 \cdot 700 + 700 \cdot 15}

6.6038N/mm = 15N/mm \cdot 12N/mm \cdot \frac{700N/mm}{15N/mm \cdot 12N/mm + 12N/mm \cdot 700N/mm + 700N/mm \cdot 15N/mm}

6.6038 = 15 \cdot 12 \cdot \frac{700}{15 \cdot 12 + 12 \cdot 700 + 700 \cdot 15}

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Combined Stiffness of Three Springs Connected in Series Solution

Follow our step by step solution on how to calculate Combined Stiffness of Three Springs Connected in Series?

FIRST Step Consider the formula

K eq S = K 1 \cdot K 2 \cdot \frac{k 3 S}{K 1 \cdot K 2 + K 2 \cdot k 3 S + k 3 S \cdot K 1}

Next Step Substitute values of Variables

∴

K eq S = 15N/mm \cdot 12N/mm \cdot \frac{700N/mm}{15N/mm \cdot 12N/mm + 12N/mm \cdot 700N/mm + 700N/mm \cdot 15N/mm}

Next Step Convert Units

∴

K eq S = 15000N/m \cdot 12000N/m \cdot \frac{700000N/m}{15000N/m \cdot 12000N/m + 12000N/m \cdot 700000N/m + 700000N/m \cdot 15000N/m}

Next Step Prepare to Evaluate

∴

K eq S = 15000 \cdot 12000 \cdot \frac{700000}{15000 \cdot 12000 + 12000 \cdot 700000 + 700000 \cdot 15000}

Next Step Evaluate

∴

K eq S = 6603.77358490566N/m

Next Step Convert to Output's Unit

∴

K eq S = 6.60377358490566N/mm

LAST Step Rounding Answer

∴

K eq S = 6.6038N/mm

Combined Stiffness of Three Springs Connected in Series Formula Elements

Variables

Equivalent Spring Stiffness Connected in Series

Equivalent Spring Stiffness Connected in Series is the combined stiffness of multiple springs connected in series in a mechanical system.

Symbol: K_{eq S}

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Equivalent Spring Stiffness Connected 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.

Symbol: K₁

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of 1st Spring

Stiffness of 2nd Spring

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.

Symbol: K₂

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of 2nd Spring

Stiffness of 3rd Spring in Series

Stiffness of 3rd Spring in Series is the measure of resistance to deformation of the third spring when multiple springs are connected in series.

Symbol: k_{3 S}

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of 3rd Spring in Series

Other Formulas to find Equivalent Spring Stiffness Connected in Series

Go Combined Stiffness of Two Springs Connected in Series

K eq S = K 1 \cdot \frac{K 2}{K 1 + K 2}

Other formulas in Series and Parallel Connections category

Go Combined Stiffness of 2 Springs when Connected in Parallel

K eq P = K 1 + K 2

Go Combined Stiffness of 3 Springs when Connected in Parallel

K eq P = K 1 + K 2 + k 3 P

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

Combined Stiffness of Three Springs Connected in Series evaluator 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 evaluate 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 evaluate Combined Stiffness of Three Springs Connected in Series using this online evaluator? To use this online evaluator 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.

FAQs on Combined Stiffness of Three Springs Connected in Series

What is the formula to find Combined Stiffness of Three Springs Connected in Series?

The formula of Combined Stiffness of Three Springs Connected in Series is expressed as 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). Here is an example- 0.006579 = 15000*12000*700000/(15000*12000+12000*700000+700000*15000).

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

With Stiffness of 1st Spring (K₁), Stiffness of 2nd Spring (K₂) & Stiffness of 3rd Spring in Series (k_{3 S}) we can find Combined Stiffness of Three Springs Connected in Series using the formula - 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).

What are the other ways to Calculate Equivalent Spring Stiffness Connected in Series?

Here are the different ways to Calculate Equivalent Spring Stiffness Connected in Series-

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

Can the Combined Stiffness of Three Springs Connected in Series be negative?

No, the Combined Stiffness of Three Springs Connected in Series, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Combined Stiffness of Three Springs Connected in Series?

Combined Stiffness of Three Springs Connected in Series is usually measured using the Newton per Millimeter[N/mm] for Stiffness Constant. Newton per Meter[N/mm], Kilonewton per Millimeter[N/mm] are the few other units in which Combined Stiffness of Three Springs Connected in Series can be measured.

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Combined Stiffness of Three Springs Connected in Series Formula

​GoCombined Stiffness of Two Springs Connected in Series Formula

Combined Stiffness of Three Springs Connected in Series Example

Combined Stiffness of Three Springs Connected in Series Solution

Combined Stiffness of Three Springs Connected in Series Formula Elements

Other Formulas to find Equivalent Spring Stiffness Connected in Series

Other formulas in Series and Parallel Connections category

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

FAQs on Combined Stiffness of Three Springs Connected in Series

Variable Name

GoCombined Stiffness of Two Springs Connected in Series Formula