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Stiffness of Square Section Wire Spring Formula

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Stiffness of Square Section Wire Spring is the resistance of the spring to deformation under an applied force. Check FAQs

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

K_sq - Stiffness of Square Section Wire Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?R - Mean Radius?N - Number of Coils?

Stiffness of Square Section Wire Spring Example

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

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

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

35.7942 = \frac{40 \cdot 45^{4}}{44.7 \cdot 225^{3} \cdot 9}

35.7942N/mm = \frac{40GPa \cdot {45mm}^{4}}{44.7 \cdot {225mm}^{3} \cdot 9}

35.7942 = \frac{40 \cdot 45^{4}}{44.7 \cdot 225^{3} \cdot 9}

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Stiffness of Square Section Wire Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K sq = \frac{40GPa \cdot {45mm}^{4}}{44.7 \cdot {225mm}^{3} \cdot 9}

Next Step Convert Units

∴

K sq = \frac{4E+10Pa \cdot {0.045m}^{4}}{44.7 \cdot {0.225m}^{3} \cdot 9}

Next Step Prepare to Evaluate

∴

K sq = \frac{4E+10 \cdot {0.045}^{4}}{44.7 \cdot {0.225}^{3} \cdot 9}

Next Step Evaluate

∴

K sq = 35794.1834451901N/m

Next Step Convert to Output's Unit

∴

K sq = 35.7941834451901N/mm

LAST Step Rounding Answer

∴

K sq = 35.7942N/mm

Stiffness of Square Section Wire Spring Formula Elements

Variables

Stiffness of Square Section Wire Spring

Stiffness of Square Section Wire Spring is the resistance of the spring to deformation under an applied force.

Symbol: K_sq

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Square Section 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

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

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 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}}

How to Evaluate Stiffness of Square Section Wire Spring?

Stiffness of Square Section Wire Spring evaluator uses Stiffness of Square Section Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils) to evaluate the Stiffness of Square Section Wire Spring, The Stiffness of Square Section Wire Spring formula is defined as the resistance of the square section wire spring to deformation under an applied force. Stiffness of Square Section Wire Spring is denoted by K_sq symbol.

How to evaluate Stiffness of Square Section Wire Spring using this online evaluator? To use this online evaluator 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.

FAQs on Stiffness of Square Section Wire Spring

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

The formula of Stiffness of Square Section Wire Spring is expressed as Stiffness of Square Section Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils). Here is an example- 0.035794 = (40000000000*0.045^4)/(44.7*0.225^3*9).

How to calculate Stiffness of Square Section Wire Spring?

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

Can the Stiffness of Square Section Wire Spring be negative?

No, the Stiffness of Square Section Wire Spring, measured in Stiffness Constant cannot be negative.

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

Stiffness of Square Section Wire Spring is usually measured using the Newton per Millimeter[N/mm] for Stiffness Constant. Newton per Meter[N/mm], Kilonewton per Millimeter[N/mm] are the few other units in which Stiffness of Square Section Wire Spring can be measured.

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Stiffness of Square Section Wire Spring Formula

Stiffness of Square Section Wire Spring Example

Stiffness of Square Section Wire Spring Solution

Stiffness of Square Section Wire Spring Formula Elements

Other formulas in Square Section Wire category

How to Evaluate Stiffness of Square Section Wire Spring?

FAQs on Stiffness of Square Section Wire Spring

Variable Name