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Width given Stiffness of Square Section Wire Spring Formula

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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. Check FAQs

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

w_sq - Width of Square Section Wire Spring?K - Stiffness of Spring?R - Mean Radius?N - Number of Coils?G_Torsion - Modulus of Rigidity?

Width given Stiffness of Square Section Wire Spring Example

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Here is how the Width given Stiffness of Square Section Wire Spring equation looks like with Values.

Here is how the Width given Stiffness of Square Section Wire Spring equation looks like with Units.

Here is how the Width given Stiffness of Square Section Wire Spring equation looks like.

41.1381 = {(\frac{25 \cdot 44.7 \cdot 225^{3} \cdot 9}{40})}^{\frac{1}{4}}

41.1381mm = {(\frac{25N/mm \cdot 44.7 \cdot {225mm}^{3} \cdot 9}{40GPa})}^{\frac{1}{4}}

41.1381 = {(\frac{25 \cdot 44.7 \cdot 225^{3} \cdot 9}{40})}^{\frac{1}{4}}

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Width given Stiffness of Square Section Wire Spring Solution

Follow our step by step solution on how to calculate Width given Stiffness of Square Section Wire Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

w sq = {(\frac{25000N/m \cdot 44.7 \cdot {0.225m}^{3} \cdot 9}{4E+10Pa})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

w sq = {(\frac{25000 \cdot 44.7 \cdot {0.225}^{3} \cdot 9}{4E+10})}^{\frac{1}{4}}

Next Step Evaluate

∴

w sq = 0.0411381162470735m

Next Step Convert to Output's Unit

∴

w sq = 41.1381162470735mm

LAST Step Rounding Answer

∴

w sq = 41.1381mm

Width given Stiffness of Square Section Wire Spring Formula Elements

Variables

Width of Square Section Wire Spring

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.

Symbol: w_sq

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Square Section Wire Spring

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: K

Measurement: Stiffness ConstantUnit: N/mm

Note: Value can be positive or negative.

Formulas to find Stiffness of Spring

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

Modulus of Rigidity

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.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Other formulas in Square Section Wire category

Go Number of Spring Coils given Stiffness of Square Section Wire Spring

N sq = \frac{G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot K}

Go Modulus of Rigidity given Stiffness of Square Section Wire Spring

G sq = \frac{K \cdot 44.7 \cdot R^{3} \cdot N}{d^{4}}

Go Mean Radius given Stiffness of Square Section Wire Spring

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

Go Stiffness of Square Section Wire Spring

K sq = \frac{G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot N}

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

Width given Stiffness of Square Section Wire Spring evaluator uses Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4) to evaluate 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 evaluate Width given Stiffness of Square Section Wire Spring using this online evaluator? To use this online evaluator 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.

FAQs on Width given Stiffness of Square Section Wire Spring

What is the formula to find Width given Stiffness of Square Section Wire Spring?

The formula of Width given Stiffness of Square Section Wire Spring is expressed as Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4). Here is an example- 41138.12 = ((25000*44.7*0.225^3*9)/40000000000)^(1/4).

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

With Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (G_Torsion) we can find Width given Stiffness of Square Section Wire Spring using the formula - Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4).

Can the Width given Stiffness of Square Section Wire Spring be negative?

No, the Width given Stiffness of Square Section Wire Spring, measured in Length cannot be negative.

Which unit is used to measure Width given Stiffness of Square Section Wire Spring?

Width given Stiffness of Square Section Wire Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width given Stiffness of Square Section Wire Spring can be measured.

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Width given Stiffness of Square Section Wire Spring Formula

Width given Stiffness of Square Section Wire Spring Example

Width given Stiffness of Square Section Wire Spring Solution

Width given Stiffness of Square Section Wire Spring Formula Elements

Other formulas in Square Section Wire category

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

FAQs on Width given Stiffness of Square Section Wire Spring

Variable Name