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)
Na = E*d^4/(64*D*kh)
This formula uses 5 Variables
Variables Used
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.
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.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
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.
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.
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: 36 Millimeter --> 0.036 Meter (Check conversion here)
Stiffness of helical torsion spring: 88.5 Newton Millimeter per Radian --> 0.0885 Newton Meter per Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Na = E*d^4/(64*D*kh) --> 207000000000*0.004^4/(64*0.036*0.0885)
Evaluating ... ...
Na = 259.887005649718
STEP 3: Convert Result to Output's Unit
259.887005649718 --> No Conversion Required
FINAL ANSWER
259.887005649718 259.887 <-- Active Coils in Helical Torsion Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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)

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

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)
Na = E*d^4/(64*D*kh)

Define a Helical Torsion Spring?

A helical torsion spring, is a metal rod or wire in the shape of a helix (coil) that is subjected to twisting about the axis of the coil by sideways forces (bending moments) applied to its ends, twisting the coil tighter.

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, The Number of Coils of Spring given Stiffness of Helical Torsion Spring formula is defined as the number of helical winding present in the helical torsion spring. Active Coils in Helical Torsion Spring is denoted by Na 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 (kh) 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 -> 259.887 = 207000000000*0.004^4/(64*0.036*0.0885).

FAQ

What is Number of Coils of Spring given Stiffness of Helical Torsion Spring?
The Number of Coils of Spring given Stiffness of Helical Torsion Spring formula is defined as the number of helical winding present in the helical torsion spring and is represented as Na = E*d^4/(64*D*kh) 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 a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, Diameter of spring wire is the diameter of the wire of which a spring is made, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring & 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.
How to calculate Number of Coils of Spring given Stiffness of Helical Torsion Spring?
The Number of Coils of Spring given Stiffness of Helical Torsion Spring formula is defined as the number of helical winding present in the helical torsion spring 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 (kh). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!