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 = kh*64*D*Na/(d^4)
This formula uses 5 Variables
Variables Used
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
Stiffness of helical torsion spring - (Measured in Newton Meter per Radian) - Stiffness of helical torsion spring is a measure of the resistance offered by a helical torsion spring to deformation, every object in this universe has some stiffness.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Active Coils in Helical Torsion Spring - Active Coils in Helical Torsion Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
STEP 1: Convert Input(s) to Base Unit
Stiffness of helical torsion spring: 88.5 Newton Millimeter per Radian --> 0.0885 Newton Meter per Radian (Check conversion here)
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 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 = kh*64*D*Na/(d^4) --> 0.0885*64*0.036*260/(0.004^4)
Evaluating ... ...
E = 207090000000
STEP 3: Convert Result to Output's Unit
207090000000 Pascal -->207090 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
207090 Newton per Square Millimeter <-- Modulus of Elasticity of Spring
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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9 Helical Torsion Springs Calculators

Diameter of Spring Wire given Stiffness
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)
Number of Coils of Spring given Stiffness of Helical Torsion Spring
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)
Modulus of Elasticity of Spring given Stiffness
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)
Mean Coil Diameter of Spring given Stiffness
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)
Stiffness of Helical Torsion Spring
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)
Diameter of Spring Wire given Bending Stress in Spring
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
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
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
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

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 = kh*64*D*Na/(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 the mechanical property of a material to withstand the compression or the elongation with respect to its length. 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 (kh), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (Na) & 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 -> 0.20709 = 0.0885*64*0.036*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 the mechanical property of a material to withstand the compression or the elongation with respect to its length and is represented as E = kh*64*D*Na/(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 a measure of the resistance offered by a helical torsion spring to deformation, every object in this universe has some stiffness, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring, Active Coils in Helical Torsion Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring & Diameter of spring wire is the diameter of the wire of which a spring is made.
How to calculate Modulus of Elasticity of Spring given Stiffness?
Modulus of Elasticity of Spring given Stiffness formula is defined as the mechanical property of a material to withstand the compression or the elongation with respect to its length 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 (kh), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (Na) & 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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