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Modulus of Rigidity using Deflection of Square Section Wire 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{44.7 \cdot W load \cdot R^{3} \cdot N}{δ \cdot d^{4}}

G_Torsion - Modulus of Rigidity?W_load - Spring Load?R - Mean Radius?N - Number of Coils?δ - Deflection of Spring?d - Diameter of Spring?

Modulus of Rigidity using Deflection of Square Section Wire Spring Example

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

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

Here is how the Modulus of Rigidity using Deflection of Square Section Wire Spring equation looks like.

27.9375 = \frac{44.7 \cdot 85 \cdot 225^{3} \cdot 9}{3.4 \cdot 45^{4}}

27.9375GPa = \frac{44.7 \cdot 85N \cdot {225mm}^{3} \cdot 9}{3.4mm \cdot {45mm}^{4}}

27.9375 = \frac{44.7 \cdot 85 \cdot 225^{3} \cdot 9}{3.4 \cdot 45^{4}}

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Modulus of Rigidity using Deflection of Square Section Wire Spring Solution

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

FIRST Step Consider the formula

G Torsion = \frac{44.7 \cdot W load \cdot R^{3} \cdot N}{δ \cdot d^{4}}

Next Step Substitute values of Variables

∴

G Torsion = \frac{44.7 \cdot 85N \cdot {225mm}^{3} \cdot 9}{3.4mm \cdot {45mm}^{4}}

Next Step Convert Units

∴

G Torsion = \frac{44.7 \cdot 85N \cdot {0.225m}^{3} \cdot 9}{0.0034m \cdot {0.045m}^{4}}

Next Step Prepare to Evaluate

∴

G Torsion = \frac{44.7 \cdot 85 \cdot {0.225}^{3} \cdot 9}{0.0034 \cdot {0.045}^{4}}

Next Step Evaluate

∴

G Torsion = 27937500000Pa

LAST Step Convert to Output's Unit

∴

G Torsion = 27.9375GPa

Modulus of Rigidity using Deflection of Square Section Wire 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

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

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

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

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 Spring of Square Section Wire category

Go Deflection of Square Section Wire Spring

δ = \frac{44.7 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot d^{4}}

Go Load given Deflection of Square Section Wire Spring

W load = \frac{δ \cdot G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot N}

Go Mean radius given Deflection of Square Section Wire Spring

R = {(\frac{δ \cdot G Torsion \cdot d^{4}}{44.7 \cdot W load \cdot N})}^{\frac{1}{3}}

Go Number of Coils given Deflection of Square Section Wire Spring

N = \frac{δ \cdot G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot W load}

How to Evaluate Modulus of Rigidity using Deflection of Square Section Wire Spring?

Modulus of Rigidity using Deflection of Square Section Wire Spring evaluator uses Modulus of Rigidity = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4) to evaluate the Modulus of Rigidity, The Modulus of Rigidity using Deflection of Square Section Wire Spring formula is defined as the shear modulus of spring. Modulus of Rigidity is denoted by G_Torsion symbol.

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

FAQs on Modulus of Rigidity using Deflection of Square Section Wire Spring

What is the formula to find Modulus of Rigidity using Deflection of Square Section Wire Spring?

The formula of Modulus of Rigidity using Deflection of Square Section Wire Spring is expressed as Modulus of Rigidity = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4). Here is an example- 2.8E-8 = (44.7*85*0.225^3*9)/(0.0034*0.045^4).

How to calculate Modulus of Rigidity using Deflection of Square Section Wire Spring?

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

Can the Modulus of Rigidity using Deflection of Square Section Wire Spring be negative?

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

Which unit is used to measure Modulus of Rigidity using Deflection of Square Section Wire Spring?

Modulus of Rigidity using Deflection 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 using Deflection of Square Section Wire Spring can be measured.

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Modulus of Rigidity using Deflection of Square Section Wire Spring Formula

Modulus of Rigidity using Deflection of Square Section Wire Spring Example

Modulus of Rigidity using Deflection of Square Section Wire Spring Solution

Modulus of Rigidity using Deflection of Square Section Wire Spring Formula Elements

Other formulas in Spring of Square Section Wire category

How to Evaluate Modulus of Rigidity using Deflection of Square Section Wire Spring?

FAQs on Modulus of Rigidity using Deflection of Square Section Wire Spring

Variable Name