Number of Coils of Spring given Stiffness of Helical Torsion Spring 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%
✖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%
✖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%

✖Active Coils in Helical Torsion Spring is the number of coils in a helical torsion spring that are actively participating in storing energy.ⓘ Number of Coils of Spring given Stiffness of Helical Torsion Spring [N_a]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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)
Mean Coil Diameter of Spring: 35.98435 Millimeter --> 0.03598435 Meter (Check conversion here)
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

N_a = E*d^4/(64*D*k_h) --> 207000000000*0.004^4/(64*0.03598435*0.08850001)

Evaluating ... ...

N_a = 260.000004063502

STEP 3: Convert Result to Output's Unit

260.000004063502 --> No Conversion Required

FINAL ANSWER

260.000004063502 ≈ 260 <-- Active Coils in Helical Torsion Spring

(Calculation completed in 00.020 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)

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

LaTeX Go

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

Define Coil in Springs?

A coil in springs refers to the individual loop or turn of the wire that forms the helical shape of the spring. The number of coils, their diameter, and spacing determine the spring's mechanical properties, such as stiffness and load-bearing capacity. Coils allow the spring to compress, extend, or twist, enabling it to absorb and release energy. The design of the coils influences the spring's performance, with tightly wound coils providing higher stiffness and widely spaced coils offering greater flexibility. Coils are essential in various types of springs, including compression, extension, and torsion springs.

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

Number of Coils of Spring given Stiffness of Helical Torsion Spring calculator 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 calculate 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 calculate Number of Coils of Spring given Stiffness of Helical Torsion Spring using this online calculator? To use this online calculator 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. Here is how the Number of Coils of Spring given Stiffness of Helical Torsion Spring calculation can be explained with given input values -> 260 = 207000000000*0.004^4/(64*0.03598435*0.08850001).

FAQ

What is Number of Coils of Spring given Stiffness of 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 and is represented as N_a = E*d^4/(64*D*k_h) or 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). 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, Mean Coil Diameter of Spring is the average diameter of the coil in a helical torsion spring, which affects its stiffness and overall performance & 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 Number of Coils of Spring given Stiffness of 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 is calculated using 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 calculate Number of Coils of Spring given Stiffness of Helical Torsion Spring, you need Modulus of Elasticity of Spring (E), Diameter of spring wire (d), Mean Coil Diameter of Spring (D) & 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, Mean Coil Diameter of 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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