Deflection for Close-Coiled Helical Spring Calculator

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Spring Load [W_load]			+10% -10%
✖The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.ⓘ Mean Radius [R]			+10% -10%
✖Number of Coils in spring is the total number of turns made by wire along its length.ⓘ Number of Coils [N]			+10% -10%
✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%
✖Diameter of Spring wire is the diameter of the wire from which a spring is made.ⓘ Diameter of Spring [d]			+10% -10%

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection for Close-Coiled Helical Spring [δ]

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Deflection for Close-Coiled Helical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Spring = (64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4)
δ = (64*W_load*R^3*N)/(G_Torsion*d^4)
This formula uses 6 Variables

Variables Used

Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
Mean Radius - (Measured in Meter) - The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from which a spring is made.

STEP 1: Convert Input(s) to Base Unit

Spring Load: 85 Newton --> 85 Newton No Conversion Required
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (64*W_load*R^3*N)/(G_Torsion*d^4) --> (64*85*0.225^3*9)/(40000000000*0.045^4)

Evaluating ... ...

δ = 0.0034

STEP 3: Convert Result to Output's Unit

0.0034 Meter -->3.4 Millimeter (Check conversion here)

FINAL ANSWER

3.4 Millimeter <-- Deflection of Spring

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Close Coiled Helical Spring Calculators

Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring

LaTeX Go Diameter of Spring = ((64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Deflection of Spring))^(1/4)

Mean Radius of Spring given Deflection for Close-Coiled Helical Spring

LaTeX Go Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3)

Number of Spring Coils given Deflection for Close-Coiled Helical Spring

LaTeX Go Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Mean Radius^3)

Deflection for Close-Coiled Helical Spring

LaTeX Go Deflection of Spring = (64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4)

Deflection for Close-Coiled Helical Spring Formula

LaTeX Go

Deflection of Spring = (64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4)
δ = (64*W_load*R^3*N)/(G_Torsion*d^4)

What is Spring?

A Spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs. A spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.

How to Calculate Deflection for Close-Coiled Helical Spring?

Deflection for Close-Coiled Helical Spring calculator uses Deflection of Spring = (64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4) to calculate the Deflection of Spring, The Deflection for Close-Coiled Helical Spring formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection for Close-Coiled Helical Spring using this online calculator? To use this online calculator for Deflection for Close-Coiled Helical Spring, enter Spring Load (W_load), Mean Radius (R), Number of Coils (N), Modulus of Rigidity (G_Torsion) & Diameter of Spring (d) and hit the calculate button. Here is how the Deflection for Close-Coiled Helical Spring calculation can be explained with given input values -> 4869.316 = (64*85*0.225^3*9)/(40000000000*0.045^4).

FAQ

What is Deflection for Close-Coiled Helical Spring?

The Deflection for Close-Coiled Helical Spring formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded and is represented as δ = (64*W_load*R^3*N)/(G_Torsion*d^4) or Deflection of Spring = (64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4). Spring Load is the instantaneous load applied perpendicular to the specimen cross section, The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring, Number of Coils in spring is the total number of turns made by wire along its length, Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G & Diameter of Spring wire is the diameter of the wire from which a spring is made.

How to calculate Deflection for Close-Coiled Helical Spring?

The Deflection for Close-Coiled Helical Spring formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded is calculated using Deflection of Spring = (64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4). To calculate Deflection for Close-Coiled Helical Spring, you need Spring Load (W_load), Mean Radius (R), Number of Coils (N), Modulus of Rigidity (G_Torsion) & Diameter of Spring (d). With our tool, you need to enter the respective value for Spring Load, Mean Radius, Number of Coils, Modulus of Rigidity & 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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