Number of Active Coils given Deflection in Spring Calculator

✖Deflection of Spring is how much the length of a spring changes when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Modulus of rigidity of spring wire 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.ⓘ Modulus of Rigidity of Spring Wire [G]			+10% -10%
✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire [d]			+10% -10%
✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Axial Spring Force [P]			+10% -10%
✖The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%

✖Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.ⓘ Number of Active Coils given Deflection in Spring [N_a]

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Number of Active Coils given Deflection in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Active Coils in Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))
N_a = (δ*G*d^4)/(8*P*(D^3))
This formula uses 6 Variables

Variables Used

Active Coils in Spring - Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how much the length of a spring changes when force is applied or released.
Modulus of Rigidity of Spring Wire - (Measured in Pascal) - Modulus of rigidity of spring wire 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 of the wire of which a spring is made.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
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.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spring: 23.32125 Millimeter --> 0.02332125 Meter (Check conversion here)
Modulus of Rigidity of Spring Wire: 86400 Newton per Square Millimeter --> 86400000000 Pascal (Check conversion here)
Diameter of Spring Wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_a = (δ*G*d^4)/(8*P*(D^3)) --> (0.02332125*86400000000*0.004^4)/(8*138.2*(0.036^3))

Evaluating ... ...

N_a = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Active Coils in Spring

(Calculation completed in 00.006 seconds)

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Osmania University (OU), Hyderabad

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< Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Resultant Stress in Spring

LaTeX Go Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)

Mean Coil Diameter given Resultant Stress in Spring

LaTeX Go Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)

Force acting on Spring given Resultant Stress

LaTeX Go Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)

Resultant Stress in Spring

LaTeX Go Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3)

Number of Active Coils given Deflection in Spring Formula

LaTeX Go

Active Coils in Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))
N_a = (δ*G*d^4)/(8*P*(D^3))

Define a Mechanical Spring?

A metal wire spring that functions in a spring mechanism that compresses, extends,rotates, slides, pulls and exerts force when an equal or greater force is applied. A spring mechanism can exert pressure, rotational force or pulling strength in a variety of ways.

How to Calculate Number of Active Coils given Deflection in Spring?

Number of Active Coils given Deflection in Spring calculator uses Active Coils in Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3)) to calculate the Active Coils in Spring, Number of Active Coils given Deflection in Spring formula is defined as a measure of the number of coils in a spring that are actively participating in the deflection process, taking into account the spring's material properties, dimensions, and the amount of deflection, providing a critical parameter in stress and deflection analysis of springs. Active Coils in Spring is denoted by N_a symbol.

How to calculate Number of Active Coils given Deflection in Spring using this online calculator? To use this online calculator for Number of Active Coils given Deflection in Spring, enter Deflection of Spring (δ), Modulus of Rigidity of Spring Wire (G), Diameter of Spring Wire (d), Axial Spring Force (P) & Mean Coil Diameter of Spring (D) and hit the calculate button. Here is how the Number of Active Coils given Deflection in Spring calculation can be explained with given input values -> 9.995176 = (0.02332125*86400000000*0.004^4)/(8*138.2*(0.036^3)).

FAQ

What is Number of Active Coils given Deflection in Spring?

Number of Active Coils given Deflection in Spring formula is defined as a measure of the number of coils in a spring that are actively participating in the deflection process, taking into account the spring's material properties, dimensions, and the amount of deflection, providing a critical parameter in stress and deflection analysis of springs and is represented as N_a = (δ*G*d^4)/(8*P*(D^3)) or Active Coils in Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3)). Deflection of Spring is how much the length of a spring changes when force is applied or released, Modulus of rigidity of spring wire 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 of the wire of which a spring is made, Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction & The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

How to calculate Number of Active Coils given Deflection in Spring?

Number of Active Coils given Deflection in Spring formula is defined as a measure of the number of coils in a spring that are actively participating in the deflection process, taking into account the spring's material properties, dimensions, and the amount of deflection, providing a critical parameter in stress and deflection analysis of springs is calculated using Active Coils in Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3)). To calculate Number of Active Coils given Deflection in Spring, you need Deflection of Spring (δ), Modulus of Rigidity of Spring Wire (G), Diameter of Spring Wire (d), Axial Spring Force (P) & Mean Coil Diameter of Spring (D). With our tool, you need to enter the respective value for Deflection of Spring, Modulus of Rigidity of Spring Wire, Diameter of Spring Wire, Axial Spring Force & Mean Coil Diameter of 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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