Stiffness of Square Section Wire Spring Calculator

✖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%
✖The Mean Radius spring coil is the mean radius of the coils 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%

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Square Section Wire Spring [K]

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Formula

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Stiffness of Square Section Wire Spring

Formula

`"K" = ("G"_{"Torsion"}*"d"^4)/(44.7*"R"^3*"N")`

Example

`"35.79418N/mm"=("40GPa"*("45mm")^4)/(44.7*("225mm")^3*"9")`

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Stiffness of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)
K = (G_Torsion*d^4)/(44.7*R^3*N)
This formula uses 5 Variables

Variables Used

Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
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.
Mean Radius - (Measured in Meter) - The Mean Radius spring coil is the mean radius of the coils of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (G_Torsion*d^4)/(44.7*R^3*N) --> (40000000000*0.045^4)/(44.7*0.225^3*9)

Evaluating ... ...

K = 35794.1834451901

STEP 3: Convert Result to Output's Unit

35794.1834451901 Newton per Meter -->35.7941834451901 Newton per Millimeter (Check conversion here)

FINAL ANSWER

35.7941834451901 ≈ 35.79418 Newton per Millimeter <-- Stiffness of Spring

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 5 Square Section Wire Calculators

Mean Radius given Stiffness of Square Section Wire Spring

Go Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3)

Width given Stiffness of Square Section Wire Spring

Go Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)

Number of Spring Coils given Stiffness of Square Section Wire Spring

Go Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring)

Stiffness of Square Section Wire Spring

Go Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)

Modulus of Rigidity given Stiffness of Square Section Wire Spring

Go Modulus of Rigidity = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4

Stiffness of Square Section Wire Spring Formula

Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)
K = (G_Torsion*d^4)/(44.7*R^3*N)

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.

How to Calculate Stiffness of Square Section Wire Spring?

Stiffness of Square Section Wire Spring calculator uses Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils) to calculate the Stiffness of Spring, The Stiffness of Square Section Wire Spring formula is defined as the extent to which an object resists deformation in response to an applied force. Stiffness of Spring is denoted by K symbol.

How to calculate Stiffness of Square Section Wire Spring using this online calculator? To use this online calculator for Stiffness of Square Section Wire Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N) and hit the calculate button. Here is how the Stiffness of Square Section Wire Spring calculation can be explained with given input values -> 0.035794 = (40000000000*0.045^4)/(44.7*0.225^3*9).

FAQ

What is Stiffness of Square Section Wire Spring?

The Stiffness of Square Section Wire Spring formula is defined as the extent to which an object resists deformation in response to an applied force and is represented as K = (G_Torsion*d^4)/(44.7*R^3*N) or Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils). 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, The Mean Radius spring coil is the mean radius of the coils of the spring & Number of Coils in spring is the total number of turns made by wire along its length.

How to calculate Stiffness of Square Section Wire Spring?

The Stiffness of Square Section Wire Spring formula is defined as the extent to which an object resists deformation in response to an applied force is calculated using Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils). To calculate Stiffness of Square Section Wire Spring, you need Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N). With our tool, you need to enter the respective value for Modulus of Rigidity, Diameter of Spring, Mean Radius & Number of Coils 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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