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Modulus of Rigidity given Stiffness of Spring Formula

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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. Check FAQs

G Torsion = \frac{64 \cdot K \cdot R^{3} \cdot N}{d^{4}}

G_Torsion - Modulus of Rigidity?K - Stiffness of Spring?R - Mean Radius?N - Number of Coils?d - Diameter of Spring?

Modulus of Rigidity given Stiffness of Spring Example

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

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

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

40 = \frac{64 \cdot 25 \cdot 225^{3} \cdot 9}{45^{4}}

40GPa = \frac{64 \cdot 25N/mm \cdot {225mm}^{3} \cdot 9}{{45mm}^{4}}

40 = \frac{64 \cdot 25 \cdot 225^{3} \cdot 9}{45^{4}}

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Modulus of Rigidity given Stiffness of Spring Solution

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

FIRST Step Consider the formula

G Torsion = \frac{64 \cdot K \cdot R^{3} \cdot N}{d^{4}}

Next Step Substitute values of Variables

∴

G Torsion = \frac{64 \cdot 25N/mm \cdot {225mm}^{3} \cdot 9}{{45mm}^{4}}

Next Step Convert Units

∴

G Torsion = \frac{64 \cdot 25000N/m \cdot {0.225m}^{3} \cdot 9}{{0.045m}^{4}}

Next Step Prepare to Evaluate

∴

G Torsion = \frac{64 \cdot 25000 \cdot {0.225}^{3} \cdot 9}{{0.045}^{4}}

Next Step Evaluate

∴

G Torsion = 40000000000Pa

LAST Step Convert to Output's Unit

∴

G Torsion = 40GPa

Modulus of Rigidity given Stiffness of Spring Formula Elements

Variables

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

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 Stiffness category

Go Stiffness of Spring

K = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot N}

Go Diameter of Spring Wire or Coil given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G Torsion})}^{\frac{1}{4}}

Go Mean Radius of Spring given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Go Number of Spring Coils given Stiffness of Spring

N = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot K}

How to Evaluate Modulus of Rigidity given Stiffness of Spring?

Modulus of Rigidity given Stiffness of Spring evaluator uses Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4 to evaluate the Modulus of Rigidity, The Modulus of Rigidity given Stiffness of Spring formula is defined as a measure of body rigidity, given by the ratio of shear stress to shear strain. Modulus of Rigidity is denoted by G_Torsion symbol.

How to evaluate Modulus of Rigidity given Stiffness of Spring using this online evaluator? To use this online evaluator for Modulus of Rigidity given Stiffness of 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 Spring

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

The formula of Modulus of Rigidity given Stiffness of Spring is expressed as Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4. Here is an example- 4E-8 = (64*25000*0.225^3*9)/0.045^4.

How to calculate Modulus of Rigidity given Stiffness of 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 Spring using the formula - Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4.

Can the Modulus of Rigidity given Stiffness of Spring be negative?

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

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

Modulus of Rigidity given Stiffness of 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 Spring can be measured.

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Modulus of Rigidity given Stiffness of Spring Formula

Modulus of Rigidity given Stiffness of Spring Example

Modulus of Rigidity given Stiffness of Spring Solution

Modulus of Rigidity given Stiffness of Spring Formula Elements

Other formulas in Stiffness category

How to Evaluate Modulus of Rigidity given Stiffness of Spring?

FAQs on Modulus of Rigidity given Stiffness of Spring

Variable Name