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Modulus of Elasticity of Spring given Stiffness Formula

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Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming permanently. Check FAQs

E = k h \cdot 64 \cdot D \cdot \frac{N a}{d^{4}}

E - Modulus of Elasticity of Spring?k_h - Stiffness of helical torsion spring?D - Mean Coil Diameter of Spring?N_a - Active Coils in Helical Torsion Spring?d - Diameter of spring wire?

Modulus of Elasticity of Spring given Stiffness Example

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

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

Here is how the Modulus of Elasticity of Spring given Stiffness equation looks like.

206999.9968 = 88.5 \cdot 64 \cdot 35.9844 \cdot \frac{260}{4^{4}}

206999.9968N/mm² = 88.5Nmm/rad \cdot 64 \cdot 35.9844mm \cdot \frac{260}{{4mm}^{4}}

206999.9968 = 88.5 \cdot 64 \cdot 35.9844 \cdot \frac{260}{4^{4}}

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Modulus of Elasticity of Spring given Stiffness Solution

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

FIRST Step Consider the formula

E = k h \cdot 64 \cdot D \cdot \frac{N a}{d^{4}}

Next Step Substitute values of Variables

∴

E = 88.5Nmm/rad \cdot 64 \cdot 35.9844mm \cdot \frac{260}{{4mm}^{4}}

Next Step Convert Units

∴

E = 0.0885Nm/rad \cdot 64 \cdot 0.036m \cdot \frac{260}{{0.004m}^{4}}

Next Step Prepare to Evaluate

∴

E = 0.0885 \cdot 64 \cdot 0.036 \cdot \frac{260}{{0.004}^{4}}

Next Step Evaluate

∴

E = 206999996764.827Pa

Next Step Convert to Output's Unit

∴

E = 206999.996764827N/mm²

LAST Step Rounding Answer

∴

E = 206999.9968N/mm²

Modulus of Elasticity of Spring given Stiffness Formula Elements

Variables

Modulus of Elasticity of Spring

Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming permanently.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spring

Stiffness of helical torsion spring

Stiffness of helical torsion spring is the measure of resistance to twisting or torsion of a helical spring when a torque is applied to it.

Symbol: k_h

Measurement: Roll StiffnessUnit: Nmm/rad

Note: Value should be greater than 0.

Formulas to find Stiffness of helical torsion spring

Mean Coil Diameter of Spring

Mean Coil Diameter of Spring is the average diameter of the coil in a helical torsion spring, which affects its stiffness and overall performance.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Spring

Active Coils in Helical Torsion Spring

Active Coils in Helical Torsion Spring is the number of coils in a helical torsion spring that are actively participating in storing energy.

Symbol: N_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Active Coils in Helical Torsion Spring

Diameter of spring wire

Diameter of spring wire is the diameter of the wire used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of spring wire

Other formulas in Helical Torsion Springs category

Go Bending Stress in Spring

σb t = K \cdot 32 \cdot \frac{M b}{π \cdot d^{3}}

Go Bending Moment applied on Spring given Bending Stress

M b = σb t \cdot \frac{π \cdot d^{3}}{K \cdot 32}

Go Diameter of Spring Wire given Bending Stress in Spring

d = {(K \cdot 32 \cdot \frac{M b}{π \cdot σb t})}^{\frac{1}{3}}

Go Stress Concentration Factor given Bending Stress in Spring

K = σb t \cdot \frac{π \cdot d^{3}}{32 \cdot M b}

How to Evaluate Modulus of Elasticity of Spring given Stiffness?

Modulus of Elasticity of Spring given Stiffness evaluator uses Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4) to evaluate the Modulus of Elasticity of Spring, Modulus of Elasticity of Spring given Stiffness formula is defined as a measure of the spring's ability to resist deformation under an applied load, providing a quantitative value of the spring's stiffness in relation to its dimensions and material properties in helical springs. Modulus of Elasticity of Spring is denoted by E symbol.

How to evaluate Modulus of Elasticity of Spring given Stiffness using this online evaluator? To use this online evaluator for Modulus of Elasticity of Spring given Stiffness, enter Stiffness of helical torsion spring (k_h), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (N_a) & Diameter of spring wire (d) and hit the calculate button.

FAQs on Modulus of Elasticity of Spring given Stiffness

What is the formula to find Modulus of Elasticity of Spring given Stiffness?

The formula of Modulus of Elasticity of Spring given Stiffness is expressed as Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4). Here is an example- 0.207 = 0.08850001*64*0.03598435*260/(0.004^4).

How to calculate Modulus of Elasticity of Spring given Stiffness?

With Stiffness of helical torsion spring (k_h), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (N_a) & Diameter of spring wire (d) we can find Modulus of Elasticity of Spring given Stiffness using the formula - Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4).

Can the Modulus of Elasticity of Spring given Stiffness be negative?

No, the Modulus of Elasticity of Spring given Stiffness, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity of Spring given Stiffness?

Modulus of Elasticity of Spring given Stiffness is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Modulus of Elasticity of Spring given Stiffness can be measured.

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Modulus of Elasticity of Spring given Stiffness Formula

Modulus of Elasticity of Spring given Stiffness Example

Modulus of Elasticity of Spring given Stiffness Solution

Modulus of Elasticity of Spring given Stiffness Formula Elements

Other formulas in Helical Torsion Springs category

How to Evaluate Modulus of Elasticity of Spring given Stiffness?

FAQs on Modulus of Elasticity of Spring given Stiffness

Variable Name