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Stiffness of Helical Spring Formula

GoStiffness of Spring given Deflection of Spring Formula

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Stiffness of Helical 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 \cdot d^{4}}{64 \cdot R^{3} \cdot N}

k - Stiffness of Helical Spring?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?R - Mean Radius Spring Coil?N - Number of Coils?

Stiffness of Helical Spring Example

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

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

Here is how the Stiffness of Helical Spring equation looks like.

0.0004 = \frac{4 \cdot 26^{4}}{64 \cdot 320^{3} \cdot 2}

0.0004kN/m = \frac{4MPa \cdot {26mm}^{4}}{64 \cdot {320mm}^{3} \cdot 2}

0.0004 = \frac{4 \cdot 26^{4}}{64 \cdot 320^{3} \cdot 2}

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Stiffness of Helical Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = \frac{4MPa \cdot {26mm}^{4}}{64 \cdot {320mm}^{3} \cdot 2}

Next Step Convert Units

∴

k = \frac{4E+6Pa \cdot {0.026m}^{4}}{64 \cdot {0.32m}^{3} \cdot 2}

Next Step Prepare to Evaluate

∴

k = \frac{4E+6 \cdot {0.026}^{4}}{64 \cdot {0.32}^{3} \cdot 2}

Next Step Evaluate

∴

k = 0.435806274414062N/m

Next Step Convert to Output's Unit

∴

k = 0.000435806274414062kN/m

LAST Step Rounding Answer

∴

k = 0.0004kN/m

Stiffness of Helical Spring Formula Elements

Variables

Stiffness of Helical Spring

Stiffness of Helical 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: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Helical Spring

Modulus of Rigidity of Spring

Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Number of Coils

The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Other Formulas to find Stiffness of Helical Spring

Go Stiffness of Spring given Deflection of Spring

k = \frac{P}{δ}

Other formulas in Loads and Parameter of Spring category

Go Twisting Moment on Wire of Helical Spring

D = P \cdot R

Go Twisting Moment given Maximum Shear Stress induced in Wire

D = \frac{π \cdot 𝜏 w \cdot d^{3}}{16}

Go Maximum Shear Stress induced in Wire given Twisting Moment

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

Go Maximum Shear Stress induced in Wire

𝜏 w = \frac{16 \cdot P \cdot R}{π \cdot d^{3}}

How to Evaluate Stiffness of Helical Spring?

Stiffness of Helical Spring evaluator uses Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils) to evaluate the Stiffness of Helical Spring, The Stiffness of helical spring formula is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. Stiffness of Helical Spring is denoted by k symbol.

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

FAQs on Stiffness of Helical Spring

What is the formula to find Stiffness of Helical Spring?

The formula of Stiffness of Helical Spring is expressed as Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils). Here is an example- 0.123596 = (4000000*0.026^4)/(64*0.32^3*2).

How to calculate Stiffness of Helical Spring?

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

What are the other ways to Calculate Stiffness of Helical Spring?

Here are the different ways to Calculate Stiffness of Helical Spring-

Stiffness of Helical Spring=Axial Load/Deflection of Spring

Can the Stiffness of Helical Spring be negative?

No, the Stiffness of Helical Spring, measured in Surface Tension cannot be negative.

Which unit is used to measure Stiffness of Helical Spring?

Stiffness of Helical Spring is usually measured using the Kilonewton per Meter[kN/m] for Surface Tension. Newton per Meter[kN/m], Millinewton per Meter[kN/m], Gram-Force per Centimeter[kN/m] are the few other units in which Stiffness of Helical Spring can be measured.

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Stiffness of Helical Spring Formula

​GoStiffness of Spring given Deflection of Spring Formula

Stiffness of Helical Spring Example

Stiffness of Helical Spring Solution

Stiffness of Helical Spring Formula Elements

Other Formulas to find Stiffness of Helical Spring

Other formulas in Loads and Parameter of Spring category

How to Evaluate Stiffness of Helical Spring?

FAQs on Stiffness of Helical Spring

Variable Name

GoStiffness of Spring given Deflection of Spring Formula