Modulus of Elasticity of Spring 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%
✖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%

✖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 given Stiffness [E]

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Modulus of Elasticity of Spring given Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = k_h*64*D*N_a/(d^4) --> 0.08850001*64*0.03598435*260/(0.004^4)

Evaluating ... ...

E = 206999996764.827

STEP 3: Convert Result to Output's Unit

206999996764.827 Pascal -->206999.996764827 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

206999.996764827 ≈ 207000 Newton per Square Millimeter <-- Modulus of Elasticity of Spring

(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)

Modulus of Elasticity of Spring given Stiffness Formula

LaTeX Go

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

Define Modulus of Elasticity?

Young’s modulus describes the relationship between stress (force per unit area) and strain (proportional deformation in an object. The Young’s modulus is named after the British scientist Thomas Young. A solid object deforms when a particular load is applied to it. If the object is elastic, the body regains its original shape when the pressure is removed. Many materials are not linear and elastic beyond a small amount of deformation. The constant Young’s modulus applies only to linear elastic substances.

How to Calculate Modulus of Elasticity of Spring given Stiffness?

Modulus of Elasticity of Spring given Stiffness calculator uses Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4) to calculate the Modulus of Elasticity of Spring, Modulus of Elasticity of Spring given Stiffness formula is defined as a measure of the spring's ability to resist deformation under an applied load, providing a quantitative value of the spring's stiffness in relation to its dimensions and material properties in helical springs. Modulus of Elasticity of Spring is denoted by E symbol.

How to calculate Modulus of Elasticity of Spring given Stiffness using this online calculator? To use this online calculator for Modulus of Elasticity of Spring given Stiffness, enter Stiffness of helical torsion spring (k_h), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (N_a) & Diameter of spring wire (d) and hit the calculate button. Here is how the Modulus of Elasticity of Spring given Stiffness calculation can be explained with given input values -> 0.207 = 0.08850001*64*0.03598435*260/(0.004^4).

FAQ

What is Modulus of Elasticity of Spring given Stiffness?

Modulus of Elasticity of Spring given Stiffness formula is defined as a measure of the spring's ability to resist deformation under an applied load, providing a quantitative value of the spring's stiffness in relation to its dimensions and material properties in helical springs and is represented as E = k_h*64*D*N_a/(d^4) or Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^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 & 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.

How to calculate Modulus of Elasticity of Spring given Stiffness?

Modulus of Elasticity of Spring given Stiffness formula is defined as a measure of the spring's ability to resist deformation under an applied load, providing a quantitative value of the spring's stiffness in relation to its dimensions and material properties in helical springs is calculated using Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4). To calculate Modulus of Elasticity of Spring 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) & Diameter of spring wire (d). 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 & Diameter of spring wire 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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