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Mean Coil Diameter of Spring given Stiffness Formula

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

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

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

Mean Coil Diameter of Spring given Stiffness Example

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Here is how the Mean Coil Diameter of Spring given Stiffness equation looks like with Values.

Here is how the Mean Coil Diameter of Spring given Stiffness equation looks like with Units.

Here is how the Mean Coil Diameter of Spring given Stiffness equation looks like.

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

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

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

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Mean Coil Diameter of Spring given Stiffness Solution

Follow our step by step solution on how to calculate Mean Coil Diameter of Spring given Stiffness?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

D = 2.1E+11Pa \cdot \frac{{0.004m}^{4}}{64 \cdot 260 \cdot 0.0885Nm/rad}

Next Step Prepare to Evaluate

∴

D = 2.1E+11 \cdot \frac{{0.004}^{4}}{64 \cdot 260 \cdot 0.0885}

Next Step Evaluate

∴

D = 0.0359843505623941m

Next Step Convert to Output's Unit

∴

D = 35.9843505623941mm

LAST Step Rounding Answer

∴

D = 35.9844mm

Mean Coil Diameter of Spring given Stiffness Formula Elements

Variables

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

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

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

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 Mean Coil Diameter of Spring given Stiffness?

Mean Coil Diameter of Spring given Stiffness evaluator uses Mean Coil Diameter of Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Active Coils in Helical Torsion Spring*Stiffness of helical torsion spring) to evaluate the Mean Coil Diameter of Spring, Mean Coil Diameter of Spring given Stiffness formula is defined as a measure of the average diameter of a helical spring's coil, which is critical in determining the spring's stiffness and overall performance in various mechanical applications. Mean Coil Diameter of Spring is denoted by D symbol.

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

FAQs on Mean Coil Diameter of Spring given Stiffness

What is the formula to find Mean Coil Diameter of Spring given Stiffness?

The formula of Mean Coil Diameter of Spring given Stiffness is expressed as Mean Coil Diameter of Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Active Coils in Helical Torsion Spring*Stiffness of helical torsion spring). Here is an example- 35984.35 = 207000000000*0.004^4/(64*260*0.08850001).

How to calculate Mean Coil Diameter of Spring given Stiffness?

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

Can the Mean Coil Diameter of Spring given Stiffness be negative?

No, the Mean Coil Diameter of Spring given Stiffness, measured in Length cannot be negative.

Which unit is used to measure Mean Coil Diameter of Spring given Stiffness?

Mean Coil Diameter of Spring given Stiffness is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Coil Diameter of Spring given Stiffness can be measured.

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Mean Coil Diameter of Spring given Stiffness Formula

Mean Coil Diameter of Spring given Stiffness Example

Mean Coil Diameter of Spring given Stiffness Solution

Mean Coil Diameter of Spring given Stiffness Formula Elements

Other formulas in Helical Torsion Springs category

How to Evaluate Mean Coil Diameter of Spring given Stiffness?

FAQs on Mean Coil Diameter of Spring given Stiffness

Variable Name