Mean Coil Diameter of Spring given Stiffness Calculator

✖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 [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%
✖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 given Stiffness [D]

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Mean Coil Diameter of Spring given Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Active Coils in Helical Torsion Spring: 260 --> No Conversion Required
Stiffness of helical torsion spring: 88.50001 Newton Millimeter per Radian --> 0.08850001 Newton Meter per Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = E*d^4/(64*N_a*k_h) --> 207000000000*0.004^4/(64*260*0.08850001)

Evaluating ... ...

D = 0.0359843505623941

STEP 3: Convert Result to Output's Unit

0.0359843505623941 Meter -->35.9843505623941 Millimeter (Check conversion here)

FINAL ANSWER

35.9843505623941 ≈ 35.98435 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Mechanical » Helical Torsion Springs » Mean Coil Diameter of Spring given Stiffness

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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)

Mean Coil Diameter of Spring given Stiffness Formula

LaTeX Go

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

Define Helical Spring?

A helical spring is a mechanical spring made from a wire coiled into a helical or spiral shape, resembling a screw thread. It is designed to absorb, store, and release energy by compressing, extending, or twisting under an applied load. Helical springs come in different types, such as compression springs, which resist axial compressive forces, and extension springs, which resist tensile forces. They are commonly used in various applications, including automotive suspensions, machinery, and household devices, to provide force, control motion, or absorb shock.

How to Calculate Mean Coil Diameter of Spring given Stiffness?

Mean Coil Diameter of Spring given Stiffness calculator 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 calculate 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 calculate Mean Coil Diameter of Spring given Stiffness using this online calculator? To use this online calculator 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. Here is how the Mean Coil Diameter of Spring given Stiffness calculation can be explained with given input values -> 35984.35 = 207000000000*0.004^4/(64*260*0.08850001).

FAQ

What is Mean Coil Diameter of Spring given Stiffness?

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

How to calculate Mean Coil Diameter of Spring given Stiffness?

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

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