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Number of Coils of Spring given Stiffness of Helical Torsion Spring Formula

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

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

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

Number of Coils of Spring given Stiffness of Helical Torsion Spring Example

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Here is how the Number of Coils of Spring given Stiffness of Helical Torsion Spring equation looks like with Values.

Here is how the Number of Coils of Spring given Stiffness of Helical Torsion Spring equation looks like with Units.

Here is how the Number of Coils of Spring given Stiffness of Helical Torsion Spring equation looks like.

260 = 207000 \cdot \frac{4^{4}}{64 \cdot 35.9844 \cdot 88.5}

260 = 207000N/mm² \cdot \frac{{4mm}^{4}}{64 \cdot 35.9844mm \cdot 88.5Nmm/rad}

260 = 207000 \cdot \frac{4^{4}}{64 \cdot 35.9844 \cdot 88.5}

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Number of Coils of Spring given Stiffness of Helical Torsion Spring Solution

Follow our step by step solution on how to calculate Number of Coils of Spring given Stiffness of Helical Torsion Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N a = 207000N/mm² \cdot \frac{{4mm}^{4}}{64 \cdot 35.9844mm \cdot 88.5Nmm/rad}

Next Step Convert Units

∴

N a = 2.1E+11Pa \cdot \frac{{0.004m}^{4}}{64 \cdot 0.036m \cdot 0.0885Nm/rad}

Next Step Prepare to Evaluate

∴

N a = 2.1E+11 \cdot \frac{{0.004}^{4}}{64 \cdot 0.036 \cdot 0.0885}

Next Step Evaluate

∴

N a = 260.000004063502

LAST Step Rounding Answer

∴

N a = 260

Number of Coils of Spring given Stiffness of Helical Torsion Spring Formula Elements

Variables

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

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

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

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

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

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 Number of Coils of Spring given Stiffness of Helical Torsion Spring?

Number of Coils of Spring given Stiffness of Helical Torsion Spring evaluator uses Active Coils in Helical Torsion Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Stiffness of helical torsion spring) to evaluate the Active Coils in Helical Torsion Spring, Number of Coils of Spring given Stiffness of Helical Torsion Spring formula is defined as a measure of the number of coils in a helical torsion spring, which is a critical parameter in determining the spring's stiffness and its ability to store energy. Active Coils in Helical Torsion Spring is denoted by N_a symbol.

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

FAQs on Number of Coils of Spring given Stiffness of Helical Torsion Spring

What is the formula to find Number of Coils of Spring given Stiffness of Helical Torsion Spring?

The formula of Number of Coils of Spring given Stiffness of Helical Torsion Spring is expressed as Active Coils in Helical Torsion Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Stiffness of helical torsion spring). Here is an example- 260 = 207000000000*0.004^4/(64*0.03598435*0.08850001).

How to calculate Number of Coils of Spring given Stiffness of Helical Torsion Spring?

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

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Number of Coils of Spring given Stiffness of Helical Torsion Spring Formula

Number of Coils of Spring given Stiffness of Helical Torsion Spring Example

Number of Coils of Spring given Stiffness of Helical Torsion Spring Solution

Number of Coils of Spring given Stiffness of Helical Torsion Spring Formula Elements

Other formulas in Helical Torsion Springs category

How to Evaluate Number of Coils of Spring given Stiffness of Helical Torsion Spring?

FAQs on Number of Coils of Spring given Stiffness of Helical Torsion Spring

Variable Name