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

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Number of Spring Coils of Sq. Sec. Wire Spring is the total count of helical turns in a compression or extension spring made from wire with a square cross-section. Check FAQs

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

N_sq - Number of Spring Coils of Sq. Sec. Wire Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?R - Mean Radius?K - Stiffness of Spring?

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

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

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

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

12.8859 = \frac{40 \cdot 45^{4}}{44.7 \cdot 225^{3} \cdot 25}

12.8859 = \frac{40GPa \cdot {45mm}^{4}}{44.7 \cdot {225mm}^{3} \cdot 25N/mm}

12.8859 = \frac{40 \cdot 45^{4}}{44.7 \cdot 225^{3} \cdot 25}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N sq = \frac{40GPa \cdot {45mm}^{4}}{44.7 \cdot {225mm}^{3} \cdot 25N/mm}

Next Step Convert Units

∴

N sq = \frac{4E+10Pa \cdot {0.045m}^{4}}{44.7 \cdot {0.225m}^{3} \cdot 25000N/m}

Next Step Prepare to Evaluate

∴

N sq = \frac{4E+10 \cdot {0.045}^{4}}{44.7 \cdot {0.225}^{3} \cdot 25000}

Next Step Evaluate

∴

N sq = 12.8859060402685

LAST Step Rounding Answer

∴

N sq = 12.8859

Number of Spring Coils given Stiffness of Square Section Wire Spring Formula Elements

Variables

Number of Spring Coils of Sq. Sec. Wire Spring

Number of Spring Coils of Sq. Sec. Wire Spring is the total count of helical turns in a compression or extension spring made from wire with a square cross-section.

Symbol: N_sq

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Spring Coils of Sq. Sec. Wire Spring

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

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter 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

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

Other formulas in Square Section Wire category

Go Width given Stiffness of Square Section Wire Spring

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

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

Number of Spring Coils given Stiffness of Square Section Wire Spring evaluator uses Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring) to evaluate the Number of Spring Coils of Sq. Sec. Wire Spring, The Number of Spring Coils given Stiffness of Square Section Wire Spring formula is defined as the total count of helical turns in a compression or extension spring made from wire with a square cross-section. Number of Spring Coils of Sq. Sec. Wire Spring is denoted by N_sq symbol.

How to evaluate Number of Spring Coils given Stiffness of Square Section Wire Spring using this online evaluator? To use this online evaluator for Number of Spring Coils given Stiffness of Square Section Wire Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Stiffness of Spring (K) and hit the calculate button.

FAQs on Number of Spring Coils given Stiffness of Square Section Wire Spring

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

The formula of Number of Spring Coils given Stiffness of Square Section Wire Spring is expressed as Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring). Here is an example- 12.88591 = (40000000000*0.045^4)/(44.7*0.225^3*25000).

How to calculate Number of Spring Coils given Stiffness of Square Section Wire Spring?

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

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

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

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

Number of Spring Coils given Stiffness of Square Section Wire Spring Formula Elements

Other formulas in Square Section Wire category

How to Evaluate Number of Spring Coils given Stiffness of Square Section Wire Spring?

FAQs on Number of Spring Coils given Stiffness of Square Section Wire Spring

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