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

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+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 of which a spring is made.ⓘ Diameter of Spring [d]			+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%
✖The Mean Radius spring coil is the mean radius of the coils of the spring.ⓘ Mean Radius [R]			+10% -10%

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring [W_load]

⎘ Copy

👎

Formula

✖

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

Formula

`"W"_{"load"} = ("δ"*"G"_{"Torsion"}*"d"^4)/(64*"N"*"R"^3)`

Example

`"85N"=("3.4mm"*"40GPa"*("45mm")^4)/(64*"9"*("225mm")^3)`

Calculator

LaTeX

Reset

👍

Download Deflection in Spring Formulas PDF

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)
W_load = (δ*G_Torsion*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 of 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 spring coil is the mean radius of the coils 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

W_load = (δ*G_Torsion*d^4)/(64*N*R^3) --> (0.0034*40000000000*0.045^4)/(64*9*0.225^3)

Evaluating ... ...

W_load = 85

STEP 3: Convert Result to Output's Unit

85 Newton --> No Conversion Required

FINAL ANSWER

85 Newton <-- Spring Load

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Close-Coiled Helical Spring » Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 6 Close-Coiled Helical Spring Calculators

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

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

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

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

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

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

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

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring

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

Deflection for Close-Coiled Helical Spring

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

Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3)
W_load = (δ*G_Torsion*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 W_load 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 (G_Torsion), 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 -> 85 = (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 W_load = (δ*G_Torsion*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 of 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 spring coil is the mean radius of the coils 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 (G_Torsion), 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.

Home

FREE PDFs

🔍 Search