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%
✖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]

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Stiffness of Helical Torsion Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring)
k_h = E*d^4/(64*D*N_a)
This formula uses 5 Variables

Variables Used

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.
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.
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.

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)
Active Coils in Helical Torsion Spring: 260 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_h = E*d^4/(64*D*N_a) --> 207000000000*0.004^4/(64*0.03598435*260)

Evaluating ... ...

k_h = 0.0885000113831537

STEP 3: Convert Result to Output's Unit

0.0885000113831537 Newton Meter per Radian -->88.5000113831536 Newton Millimeter per Radian (Check conversion here)

FINAL ANSWER

88.5000113831536 ≈ 88.50001 Newton Millimeter per Radian <-- Stiffness of helical torsion spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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)

Stiffness of Helical Torsion Spring Formula

LaTeX Go

Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring)
k_h = E*d^4/(64*D*N_a)

Define Stiffness?

Stiffness is a measure of a material's or structure's resistance to deformation when subjected to an applied force. It indicates how much force is needed to cause a specific amount of displacement or deformation. In mechanical systems, higher stiffness means the object deforms less under a given load, making it more rigid. Stiffness is an important factor in designing structures and components, ensuring they can handle expected loads without bending, compressing, or stretching excessively. It is commonly expressed as the ratio of applied force to the resulting displacement.

How to Calculate Stiffness of Helical Torsion Spring?

Stiffness of Helical Torsion Spring calculator uses Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring) to calculate the Stiffness of helical torsion spring, Stiffness of Helical Torsion Spring formula is defined as a measure of the spring's resistance to twisting or torsional deformation, which is a critical parameter in the design and analysis of helical springs used in various mechanical systems. It characterizes the spring's ability to store energy and maintain its shape under torsional loads. Stiffness of helical torsion spring is denoted by k_h symbol.

How to calculate Stiffness of Helical Torsion Spring using this online calculator? To use this online calculator for Stiffness of Helical Torsion Spring, enter Modulus of Elasticity of Spring (E), Diameter of spring wire (d), Mean Coil Diameter of Spring (D) & Active Coils in Helical Torsion Spring (N_a) and hit the calculate button. Here is how the Stiffness of Helical Torsion Spring calculation can be explained with given input values -> 88500.01 = 207000000000*0.004^4/(64*0.03598435*260).

FAQ

What is Stiffness of Helical Torsion Spring?

Stiffness of Helical Torsion Spring formula is defined as a measure of the spring's resistance to twisting or torsional deformation, which is a critical parameter in the design and analysis of helical springs used in various mechanical systems. It characterizes the spring's ability to store energy and maintain its shape under torsional loads and is represented as k_h = E*d^4/(64*D*N_a) or Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in 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 & Active Coils in Helical Torsion Spring is the number of coils in a helical torsion spring that are actively participating in storing energy.

How to calculate Stiffness of Helical Torsion Spring?

Stiffness of Helical Torsion Spring formula is defined as a measure of the spring's resistance to twisting or torsional deformation, which is a critical parameter in the design and analysis of helical springs used in various mechanical systems. It characterizes the spring's ability to store energy and maintain its shape under torsional loads is calculated using Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring). To calculate Stiffness of Helical Torsion Spring, you need Modulus of Elasticity of Spring (E), Diameter of spring wire (d), Mean Coil Diameter of Spring (D) & Active Coils in Helical Torsion Spring (N_a). 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 & Active Coils in 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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