Width given Stiffness of Square Section Wire Spring Calculator

✖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 Spring [K]			+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%

✖Width of Square Section Wire Spring is the width of the wire's cross-sectional area, which is square-shaped, used to make the spring.ⓘ Width given Stiffness of Square Section Wire Spring [w_sq]

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Formula

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Width given Stiffness of Square Section Wire Spring

Formula

w sq = {(\frac{K \cdot 44.7 \cdot R^{3} \cdot N}{G Torsion})}^{\frac{1}{4}}

Example

41.13812 mm = {(\frac{25 N/mm \cdot 44.7 \cdot {225 mm}^{3} \cdot 9}{40 GPa})}^{\frac{1}{4}}

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Width given Stiffness of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
w_sq = ((K*44.7*R^3*N)/G_Torsion)^(1/4)
This formula uses 5 Variables

Variables Used

Width of Square Section Wire Spring - (Measured in Meter) - Width of Square Section Wire Spring is the width of the wire's cross-sectional area, which is square-shaped, used to make the spring.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 25 Newton per Millimeter --> 25000 Newton per Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_sq = ((K*44.7*R^3*N)/G_Torsion)^(1/4) --> ((25000*44.7*0.225^3*9)/40000000000)^(1/4)

Evaluating ... ...

w_sq = 0.0411381162470735

STEP 3: Convert Result to Output's Unit

0.0411381162470735 Meter -->41.1381162470735 Millimeter (Check conversion here)

FINAL ANSWER

41.1381162470735 ≈ 41.13812 Millimeter <-- Width of Square Section Wire Spring

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Square Section Wire Calculators

Mean Radius given Stiffness of Square Section Wire Spring

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

Number of Spring Coils given Stiffness of Square Section Wire Spring

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

Modulus of Rigidity given Stiffness of Square Section Wire Spring

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

Width given Stiffness of Square Section Wire Spring

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

Width given Stiffness of Square Section Wire Spring Formula

Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
w_sq = ((K*44.7*R^3*N)/G_Torsion)^(1/4)

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.

How to Calculate Width given Stiffness of Square Section Wire Spring?

Width given Stiffness of Square Section Wire Spring calculator uses Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4) to calculate the Width of Square Section Wire Spring, The Width given Stiffness of Square Section Wire Spring formula is defined as the width of the wire's cross-sectional area, which is square-shaped, used to make the spring. Width of Square Section Wire Spring is denoted by w_sq symbol.

How to calculate Width given Stiffness of Square Section Wire Spring using this online calculator? To use this online calculator for Width given Stiffness of Square Section Wire Spring, enter Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (G_Torsion) and hit the calculate button. Here is how the Width given Stiffness of Square Section Wire Spring calculation can be explained with given input values -> 41138.12 = ((25000*44.7*0.225^3*9)/40000000000)^(1/4).

FAQ

What is Width given Stiffness of Square Section Wire Spring?

The Width given Stiffness of Square Section Wire Spring formula is defined as the width of the wire's cross-sectional area, which is square-shaped, used to make the spring and is represented as w_sq = ((K*44.7*R^3*N)/G_Torsion)^(1/4) or Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, 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.

How to calculate Width given Stiffness of Square Section Wire Spring?

The Width given Stiffness of Square Section Wire Spring formula is defined as the width of the wire's cross-sectional area, which is square-shaped, used to make the spring is calculated using Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4). To calculate Width given Stiffness of Square Section Wire Spring, you need Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (G_Torsion). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Radius, Number of Coils & Modulus of Rigidity 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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