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Stiffness of Spring Formula

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Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness. Check FAQs

K = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot N}

K - Stiffness of Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?R - Mean Radius?N - Number of Coils?

Stiffness of Spring Example

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With units

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Here is how the Stiffness of Spring equation looks like with Values.

Here is how the Stiffness of Spring equation looks like with Units.

Here is how the Stiffness of Spring equation looks like.

25 = \frac{40 \cdot 45^{4}}{64 \cdot 225^{3} \cdot 9}

25N/mm = \frac{40GPa \cdot {45mm}^{4}}{64 \cdot {225mm}^{3} \cdot 9}

25 = \frac{40 \cdot 45^{4}}{64 \cdot 225^{3} \cdot 9}

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Stiffness of Spring Solution

Follow our step by step solution on how to calculate Stiffness of Spring?

FIRST Step Consider the formula

K = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot N}

Next Step Substitute values of Variables

∴

K = \frac{40GPa \cdot {45mm}^{4}}{64 \cdot {225mm}^{3} \cdot 9}

Next Step Convert Units

∴

K = \frac{4E+10Pa \cdot {0.045m}^{4}}{64 \cdot {0.225m}^{3} \cdot 9}

Next Step Prepare to Evaluate

∴

K = \frac{4E+10 \cdot {0.045}^{4}}{64 \cdot {0.225}^{3} \cdot 9}

Next Step Evaluate

∴

K = 25000N/m

LAST Step Convert to Output's Unit

∴

K = 25N/mm

Stiffness of Spring Formula Elements

Variables

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: K

Measurement: Stiffness ConstantUnit: N/mm

Note: Value can be positive or negative.

Formulas to find Stiffness of Spring

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

Other formulas in Stiffness category

Go Diameter of Spring Wire or Coil given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G Torsion})}^{\frac{1}{4}}

Go Mean Radius of Spring given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Go Number of Spring Coils given Stiffness of Spring

N = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot K}

Go Modulus of Rigidity given Stiffness of Spring

G Torsion = \frac{64 \cdot K \cdot R^{3} \cdot N}{d^{4}}

How to Evaluate Stiffness of Spring?

Stiffness of Spring evaluator uses Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils) to evaluate the Stiffness of Spring, The Stiffness of Spring formula is defined as a measure of how much force is needed to extend or compress the spring by a unit length. Stiffness of Spring is denoted by K symbol.

How to evaluate Stiffness of Spring using this online evaluator? To use this online evaluator for Stiffness of Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N) and hit the calculate button.

FAQs on Stiffness of Spring

What is the formula to find Stiffness of Spring?

The formula of Stiffness of Spring is expressed as Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils). Here is an example- 0.017456 = (40000000000*0.045^4)/(64*0.225^3*9).

How to calculate Stiffness of Spring?

With Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N) we can find Stiffness of Spring using the formula - Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils).

Can the Stiffness of Spring be negative?

Yes, the Stiffness of Spring, measured in Stiffness Constant can be negative.

Which unit is used to measure Stiffness of Spring?

Stiffness of Spring 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 Stiffness of Spring can be measured.

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Stiffness of Spring Formula

Stiffness of Spring Example

Stiffness of Spring Solution

Stiffness of Spring Formula Elements

Other formulas in Stiffness category

How to Evaluate Stiffness of Spring?

FAQs on Stiffness of Spring

Variable Name