Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3)
Wload = (δ*GTorsion*d^4)/(64*N*R^3)
This formula uses 6 Variables
Variables Used
Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
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.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
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.
STEP 1: Convert Input(s) to Base Unit
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion ​here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion ​here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion ​here)
Number of Coils: 9 --> No Conversion Required
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wload = (δ*GTorsion*d^4)/(64*N*R^3) --> (0.0034*40000000000*0.045^4)/(64*9*0.225^3)
Evaluating ... ...
Wload = 85
STEP 3: Convert Result to Output's Unit
85 Newton --> No Conversion Required
FINAL ANSWER
85 Newton <-- Spring Load
(Calculation completed in 00.020 seconds)

Credits

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Created by Rithik Agrawal
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)

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring Formula

​LaTeX ​Go
Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3)
Wload = (δ*GTorsion*d^4)/(64*N*R^3)

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 Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring calculator uses Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3) to calculate the Spring Load, The Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring formula is defined as the load applied to get given deflection. Spring Load is denoted by Wload symbol.

How to calculate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring using this online calculator? To use this online calculator for Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring, enter Deflection of Spring (δ), Modulus of Rigidity (GTorsion), Diameter of Spring (d), Number of Coils (N) & Mean Radius (R) and hit the calculate button. Here is how the Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring calculation can be explained with given input values -> 59.35125 = (0.0034*40000000000*0.045^4)/(64*9*0.225^3).

FAQ

What is Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?
The Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring formula is defined as the load applied to get given deflection and is represented as Wload = (δ*GTorsion*d^4)/(64*N*R^3) or Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3). Deflection of Spring is how a spring responds when force is applied or released, 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, Number of Coils in spring is the total number of turns made by wire along its length & The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
How to calculate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?
The Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring formula is defined as the load applied to get given deflection is calculated using Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3). To calculate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring, you need Deflection of Spring (δ), Modulus of Rigidity (GTorsion), Diameter of Spring (d), Number of Coils (N) & Mean Radius (R). With our tool, you need to enter the respective value for Deflection of Spring, Modulus of Rigidity, Diameter of Spring, Number of Coils & Mean Radius 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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