Diameter of Spring Wire given Stiffness Calculator

✖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.ⓘ Stiffness of helical torsion spring [k_h]			+10% -10%
✖Mean Coil Diameter of Spring is the average diameter of the coil in a helical torsion spring, which affects its stiffness and overall performance.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Active Coils in Helical Torsion Spring is the number of coils in a helical torsion spring that are actively participating in storing energy.ⓘ Active Coils in Helical Torsion Spring [N_a]			+10% -10%
✖Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming permanently.ⓘ Modulus of Elasticity of Spring [E]			+10% -10%

✖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.ⓘ Diameter of Spring Wire given Stiffness [d]

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Diameter of Spring Wire given Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d = (k_h*64*D*N_a/E)^(1/4)
This formula uses 5 Variables

Variables Used

Diameter of spring wire - (Measured in Meter) - 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.
Stiffness of helical torsion spring - (Measured in Newton Meter per Radian) - 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.
Mean Coil Diameter of Spring - (Measured in Meter) - Mean Coil Diameter of Spring is the average diameter of the coil in a helical torsion spring, which affects its stiffness and overall performance.
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.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming permanently.

STEP 1: Convert Input(s) to Base Unit

Stiffness of helical torsion spring: 88.50001 Newton Millimeter per Radian --> 0.08850001 Newton Meter per Radian (Check conversion here)
Mean Coil Diameter of Spring: 35.98435 Millimeter --> 0.03598435 Meter (Check conversion here)
Active Coils in Helical Torsion Spring: 260 --> No Conversion Required
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (k_h*64*D*N_a/E)^(1/4) --> (0.08850001*64*0.03598435*260/207000000000)^(1/4)

Evaluating ... ...

d = 0.00399999998437115

STEP 3: Convert Result to Output's Unit

0.00399999998437115 Meter -->3.99999998437115 Millimeter (Check conversion here)

FINAL ANSWER

3.99999998437115 ≈ 4 Millimeter <-- Diameter of spring wire

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Helical Torsion Springs Calculators

Diameter of Spring Wire given Bending Stress in Spring

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

Stress Concentration Factor given Bending Stress in Spring

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

Bending Moment applied on Spring given Bending Stress

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

Bending Stress in Spring

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

Diameter of Spring Wire given Stiffness Formula

LaTeX Go

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)
d = (k_h*64*D*N_a/E)^(1/4)

Define a Helical Torsion Spring?

A helical torsion spring, is a metal rod or wire in the shape of a helix (coil) that is subjected to twisting about the axis of the coil by sideways forces (bending moments) applied to its ends, twisting the coil tighter.

How to Calculate Diameter of Spring Wire given Stiffness?

Diameter of Spring Wire given Stiffness calculator 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 calculate 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 calculate Diameter of Spring Wire given Stiffness using this online calculator? To use this online calculator 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. Here is how the Diameter of Spring Wire given Stiffness calculation can be explained with given input values -> 4000 = (0.08850001*64*0.03598435*260/207000000000)^(1/4).

FAQ

What is Diameter of Spring Wire given Stiffness?

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 and is represented as d = (k_h*64*D*N_a/E)^(1/4) or 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). 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, Mean Coil Diameter of Spring is the average diameter of the coil in a helical torsion spring, which affects its stiffness and overall performance, Active Coils in Helical Torsion Spring is the number of coils in a helical torsion spring that are actively participating in storing energy & Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming permanently.

How to calculate Diameter of Spring Wire given Stiffness?

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 is calculated using 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 calculate Diameter of Spring Wire given Stiffness, you need 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). With our tool, you need to enter the respective value for Stiffness of helical torsion spring, Mean Coil Diameter of Spring, Active Coils in Helical Torsion Spring & Modulus of Elasticity of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of spring wire?

In this formula, Diameter of spring wire uses Stiffness of helical torsion spring, Mean Coil Diameter of Spring, Active Coils in Helical Torsion Spring & Modulus of Elasticity of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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