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Diameter of Spring Wire given Stiffness Formula

GoDiameter of Spring Wire given Bending Stress in Spring Formula

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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. Check FAQs

d = {(k h \cdot 64 \cdot D \cdot \frac{N a}{E})}^{\frac{1}{4}}

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

Diameter of Spring Wire given Stiffness Example

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

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

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

4 = {(88.5 \cdot 64 \cdot 35.9844 \cdot \frac{260}{207000})}^{\frac{1}{4}}

4mm = {(88.5Nmm/rad \cdot 64 \cdot 35.9844mm \cdot \frac{260}{207000N/mm²})}^{\frac{1}{4}}

4 = {(88.5 \cdot 64 \cdot 35.9844 \cdot \frac{260}{207000})}^{\frac{1}{4}}

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Diameter of Spring Wire given Stiffness Solution

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

FIRST Step Consider the formula

d = {(k h \cdot 64 \cdot D \cdot \frac{N a}{E})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(88.5Nmm/rad \cdot 64 \cdot 35.9844mm \cdot \frac{260}{207000N/mm²})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(0.0885Nm/rad \cdot 64 \cdot 0.036m \cdot \frac{260}{2.1E+11Pa})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(0.0885 \cdot 64 \cdot 0.036 \cdot \frac{260}{2.1E+11})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.00399999998437115m

Next Step Convert to Output's Unit

∴

d = 3.99999998437115mm

LAST Step Rounding Answer

∴

d = 4mm

Diameter of Spring Wire given Stiffness Formula Elements

Variables

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

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

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

Other Formulas to find Diameter of spring wire

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}}

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 Stress Concentration Factor given Bending Stress in Spring

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

Go Stiffness of Helical Torsion Spring

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

How to Evaluate Diameter of Spring Wire given Stiffness?

Diameter of Spring Wire given Stiffness evaluator uses Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4) to evaluate the Diameter of spring wire, Diameter of Spring Wire given Stiffness formula is defined as a measure of the diameter of a helical spring wire, which is critical in determining the spring's stiffness and overall performance, and is influenced by factors such as the spring's helical diameter, number of active coils, and the material's modulus of elasticity. Diameter of spring wire is denoted by d symbol.

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

FAQs on Diameter of Spring Wire given Stiffness

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

The formula of Diameter of Spring Wire given Stiffness is expressed as Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4). Here is an example- 4000 = (0.08850001*64*0.03598435*260/207000000000)^(1/4).

How to calculate Diameter of Spring Wire given Stiffness?

With Stiffness of helical torsion spring (k_h), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (N_a) & Modulus of Elasticity of Spring (E) we can find Diameter of Spring Wire given Stiffness using the formula - Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4).

What are the other ways to Calculate Diameter of spring wire?

Here are the different ways to Calculate Diameter of spring wire-

Diameter of spring wire=(Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)

Can the Diameter of Spring Wire given Stiffness be negative?

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

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

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

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Diameter of Spring Wire given Stiffness Formula

​GoDiameter of Spring Wire given Bending Stress in Spring Formula

Diameter of Spring Wire given Stiffness Example

Diameter of Spring Wire given Stiffness Solution

Diameter of Spring Wire given Stiffness Formula Elements

Other Formulas to find Diameter of spring wire

Other formulas in Helical Torsion Springs category

How to Evaluate Diameter of Spring Wire given Stiffness?

FAQs on Diameter of Spring Wire given Stiffness

Variable Name

GoDiameter of Spring Wire given Bending Stress in Spring Formula