FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Combined Stiffness of Three Springs Connected in Series Formula

GoCombined Stiffness of Two Springs Connected in Series Formula

GoCombined Stiffness of 2 Springs when Connected in Parallel Formula

Fx Copy

LaTeX Copy

Equivalent Spring Stiffness connected in parallel is the total stiffness of multiple springs connected in parallel in a mechanical system. Check FAQs

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

K_{eq P} - Equivalent Spring Stiffness connected in parallel?K₁ - Stiffness of 1st Spring?K₂ - Stiffness of 2nd Spring?k_{3 P} - Stiffness of 3rd Spring in Parallel?

Combined Stiffness of Three Springs Connected in Series Example

With values

With units

Only example

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.

0.0496 = 15 \cdot 12 \cdot \frac{0.05}{15 \cdot 12 + 12 \cdot 0.05 + 0.05 \cdot 15}

0.0496N/mm = 15N/mm \cdot 12N/mm \cdot \frac{0.05N/mm}{15N/mm \cdot 12N/mm + 12N/mm \cdot 0.05N/mm + 0.05N/mm \cdot 15N/mm}

0.0496 = 15 \cdot 12 \cdot \frac{0.05}{15 \cdot 12 + 12 \cdot 0.05 + 0.05 \cdot 15}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Combined Stiffness of Three Springs Connected in Series

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

Next Step Substitute values of Variables

∴

K eq P = 15N/mm \cdot 12N/mm \cdot \frac{0.05N/mm}{15N/mm \cdot 12N/mm + 12N/mm \cdot 0.05N/mm + 0.05N/mm \cdot 15N/mm}

Next Step Convert Units

∴

K eq P = 15000N/m \cdot 12000N/m \cdot \frac{50N/m}{15000N/m \cdot 12000N/m + 12000N/m \cdot 50N/m + 50N/m \cdot 15000N/m}

Next Step Prepare to Evaluate

∴

K eq P = 15000 \cdot 12000 \cdot \frac{50}{15000 \cdot 12000 + 12000 \cdot 50 + 50 \cdot 15000}

Next Step Evaluate

∴

K eq P = 49.6277915632754N/m

Next Step Convert to Output's Unit

∴

K eq P = 0.0496277915632754N/mm

LAST Step Rounding Answer

∴

K eq P = 0.0496N/mm

Combined Stiffness of Three Springs Connected in Series Formula Elements

Variables

Equivalent Spring Stiffness connected in parallel

Equivalent Spring Stiffness connected in parallel is the total stiffness of multiple springs connected in parallel in a mechanical system.

Symbol: K_{eq P}

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Equivalent Spring Stiffness connected in parallel

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 Parallel

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

Symbol: k_{3 P}

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of 3rd Spring in Parallel

Other Formulas to find Equivalent Spring Stiffness connected in parallel

Go Combined Stiffness of Two Springs Connected in Series

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

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 Parallel/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Parallel+Stiffness of 3rd Spring in Parallel*Stiffness of 1st Spring) to evaluate the Equivalent Spring Stiffness connected in parallel, 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 parallel is denoted by K_{eq P} 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 Parallel (k_{3 P}) 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 Parallel/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Parallel+Stiffness of 3rd Spring in Parallel*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 Parallel (k_{3 P}) 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 Parallel/(Stiffness of 1st Spring*Stiffness of 2nd Spring+Stiffness of 2nd Spring*Stiffness of 3rd Spring in Parallel+Stiffness of 3rd Spring in Parallel*Stiffness of 1st Spring).

What are the other ways to Calculate Equivalent Spring Stiffness connected in parallel?

Here are the different ways to Calculate Equivalent Spring Stiffness connected in parallel-

Equivalent Spring Stiffness Connected in Series=Stiffness of 1st Spring*Stiffness of 2nd Spring/(Stiffness of 1st Spring+Stiffness of 2nd Spring)
Equivalent Spring Stiffness connected in parallel=Stiffness of 1st Spring+Stiffness of 2nd Spring
Equivalent Spring Stiffness connected in parallel=Stiffness of 1st Spring+Stiffness of 2nd Spring+Stiffness of 3rd Spring in Parallel

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.

Let Others Know

✖

Facebook

Twitter

Copied!

Combined Stiffness of Three Springs Connected in Series Formula

​GoCombined Stiffness of Two Springs Connected in Series Formula

​GoCombined Stiffness of 2 Springs when Connected in Parallel 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 parallel

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

GoCombined Stiffness of 2 Springs when Connected in Parallel Formula