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Modulus of Rigidity given Stiffness of Square Section Wire Spring Formula

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Modulus of Rigidity of Square Section Wire Spring is a measure of the material's ability to resist deformation under shear forces. Check FAQs

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

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

Modulus of Rigidity given Stiffness of Square Section Wire Spring Example

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

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

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

27.9375 = \frac{25 \cdot 44.7 \cdot 225^{3} \cdot 9}{45^{4}}

27.9375GPa = \frac{25N/mm \cdot 44.7 \cdot {225mm}^{3} \cdot 9}{{45mm}^{4}}

27.9375 = \frac{25 \cdot 44.7 \cdot 225^{3} \cdot 9}{45^{4}}

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Modulus of Rigidity given Stiffness of Square Section Wire Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G sq = \frac{25N/mm \cdot 44.7 \cdot {225mm}^{3} \cdot 9}{{45mm}^{4}}

Next Step Convert Units

∴

G sq = \frac{25000N/m \cdot 44.7 \cdot {0.225m}^{3} \cdot 9}{{0.045m}^{4}}

Next Step Prepare to Evaluate

∴

G sq = \frac{25000 \cdot 44.7 \cdot {0.225}^{3} \cdot 9}{{0.045}^{4}}

Next Step Evaluate

∴

G sq = 27937500000Pa

LAST Step Convert to Output's Unit

∴

G sq = 27.9375GPa

Modulus of Rigidity given Stiffness of Square Section Wire Spring Formula Elements

Variables

Modulus of Rigidity of Square Section Wire Spring

Modulus of Rigidity of Square Section Wire Spring is a measure of the material's ability to resist deformation under shear forces.

Symbol: G_sq

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity 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

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

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 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 Modulus of Rigidity given Stiffness of Square Section Wire Spring?

Modulus of Rigidity given Stiffness of Square Section Wire Spring evaluator uses Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4 to evaluate the Modulus of Rigidity of Square Section Wire Spring, The Modulus of Rigidity given Stiffness of Square Section Wire Spring formula is defined as a measure of the material's ability to resist deformation under shear forces. Modulus of Rigidity of Square Section Wire Spring is denoted by G_sq symbol.

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

FAQs on Modulus of Rigidity given Stiffness of Square Section Wire Spring

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

The formula of Modulus of Rigidity given Stiffness of Square Section Wire Spring is expressed as Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4. Here is an example- 2.8E-8 = (25000*44.7*0.225^3*9)/0.045^4.

How to calculate Modulus of Rigidity given Stiffness of Square Section Wire Spring?

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

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

No, the Modulus of Rigidity given Stiffness of Square Section Wire Spring, measured in Pressure cannot be negative.

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

Modulus of Rigidity given Stiffness of Square Section Wire Spring is usually measured using the Gigapascal[GPa] for Pressure. Pascal[GPa], Kilopascal[GPa], Bar[GPa] are the few other units in which Modulus of Rigidity given Stiffness of Square Section Wire Spring can be measured.

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Modulus of Rigidity given Stiffness of Square Section Wire Spring Formula

Modulus of Rigidity given Stiffness of Square Section Wire Spring Example

Modulus of Rigidity given Stiffness of Square Section Wire Spring Solution

Modulus of Rigidity given Stiffness of Square Section Wire Spring Formula Elements

Other formulas in Square Section Wire category

How to Evaluate Modulus of Rigidity given Stiffness of Square Section Wire Spring?

FAQs on Modulus of Rigidity given Stiffness of Square Section Wire Spring

Variable Name