Number of Coils of Helical Spring given Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)
N = (G*d^4)/(64*R^3*k)
This formula uses 5 Variables
Variables Used
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.
Modulus of Rigidity of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
Stiffness of Helical Spring - (Measured in Newton per Meter) - Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
STEP 1: Convert Input(s) to Base Unit
Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
Stiffness of Helical Spring: 0.75 Kilonewton per Meter --> 750 Newton per Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (G*d^4)/(64*R^3*k) --> (4000000*0.026^4)/(64*0.32^3*750)
Evaluating ... ...
N = 0.00116215006510417
STEP 3: Convert Result to Output's Unit
0.00116215006510417 --> No Conversion Required
FINAL ANSWER
0.00116215006510417 โ‰ˆ 0.001162 <-- Number of Coils
(Calculation completed in 00.004 seconds)

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22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring
Go Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Number of Coils given Strain Energy Stored by Spring
Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)
Strain Energy Stored by Spring
Go Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4)
Modulus of Rigidity given Deflection of Spring
Go Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Number of Coils given Deflection of Spring
Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
Number of Coils of Helical Spring given Stiffness of Spring
Go Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)
Modulus of Rigidity given Stiffness of Helical Spring
Go Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)
Stiffness of Helical Spring
Go Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
Maximum Shear Stress induced in Wire
Go Maximum Shear Stress in Wire = (16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)
Maximum Shear Stress induced in Wire given Twisting Moment
Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)
Twisting Moment given Maximum Shear Stress induced in Wire
Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16
Number of Coils given Total Length of Wire of Spring
Go Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
Total Length of Wire of Helical Spring given Mean Radius of Spring Roll
Go Length of Wire of Spring = 2*pi*Mean Radius Spring Coil*Number of Coils
Twisting Moment on Wire of Helical Spring
Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil
Stiffness of Spring given Deflection of Spring
Go Stiffness of Helical Spring = Axial Load/Deflection of Spring
Deflection of Spring given Stiffness of Spring
Go Deflection of Spring = Axial Load/Stiffness of Helical Spring
Total Length of Wire of Helical Spring
Go Length of Wire of Spring = Length of One Coil*Number of Coils
Work Done on Spring given Axial Load on Spring
Go Work Done = (Axial Load*Deflection of Spring)/2
Deflection of Spring given Work Done on Spring
Go Deflection of Spring = (2*Work Done)/Axial Load
Deflection given Average Load on Spring
Go Deflection of Spring = Work Done/Average Load
Work Done on Spring given Average Load
Go Work Done = Average Load*Deflection of Spring
Average Load on Spring
Go Average Load = Work Done/Deflection of Spring

Number of Coils of Helical Spring given Stiffness of Spring Formula

Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)
N = (G*d^4)/(64*R^3*k)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

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

Number of Coils of Helical Spring given Stiffness of Spring calculator uses Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring) to calculate the Number of Coils, The Number of coils of Helical spring given stiffness of spring formula is defined as the count of coils formed in the helical spring. Number of Coils is denoted by N symbol.

How to calculate Number of Coils of Helical Spring given Stiffness of Spring using this online calculator? To use this online calculator for Number of Coils of Helical Spring given Stiffness of Spring, enter Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Stiffness of Helical Spring (k) and hit the calculate button. Here is how the Number of Coils of Helical Spring given Stiffness of Spring calculation can be explained with given input values -> 329.5898 = (4000000*0.026^4)/(64*0.32^3*750).

FAQ

What is Number of Coils of Helical Spring given Stiffness of Spring?
The Number of coils of Helical spring given stiffness of spring formula is defined as the count of coils formed in the helical spring and is represented as N = (G*d^4)/(64*R^3*k) or Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring). Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is, Diameter of spring wire is the diameter length of spring wire, Mean Radius Spring Coil is the mean radius of the coils of spring & Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
How to calculate Number of Coils of Helical Spring given Stiffness of Spring?
The Number of coils of Helical spring given stiffness of spring formula is defined as the count of coils formed in the helical spring is calculated using Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring). To calculate Number of Coils of Helical Spring given Stiffness of Spring, you need Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Stiffness of Helical Spring (k). With our tool, you need to enter the respective value for Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Stiffness of Helical Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Number of Coils?
In this formula, Number of Coils uses Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Stiffness of Helical Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
  • Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)
  • Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
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