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Modulus of Rigidity given Deflection of Spring Formula

GoModulus of Rigidity given Strain Energy Stored by Spring Formula

GoModulus of Rigidity given Stiffness of Helical Spring Formula

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Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is. Check FAQs

G = \frac{64 \cdot P \cdot R^{3} \cdot N}{U \cdot d^{4}}

G - Modulus of Rigidity of Spring?P - Axial Load?R - Mean Radius Spring Coil?N - Number of Coils?U - Strain Energy?d - Diameter of Spring Wire?

Modulus of Rigidity given Deflection of Spring Example

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

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

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

18.3568 = \frac{64 \cdot 10 \cdot 320^{3} \cdot 2}{5 \cdot 26^{4}}

18.3568MPa = \frac{64 \cdot 10kN \cdot {320mm}^{3} \cdot 2}{5KJ \cdot {26mm}^{4}}

18.3568 = \frac{64 \cdot 10 \cdot 320^{3} \cdot 2}{5 \cdot 26^{4}}

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Modulus of Rigidity given Deflection of Spring Solution

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

FIRST Step Consider the formula

G = \frac{64 \cdot P \cdot R^{3} \cdot N}{U \cdot d^{4}}

Next Step Substitute values of Variables

∴

G = \frac{64 \cdot 10kN \cdot {320mm}^{3} \cdot 2}{5KJ \cdot {26mm}^{4}}

Next Step Convert Units

∴

G = \frac{64 \cdot 10000N \cdot {0.32m}^{3} \cdot 2}{5000J \cdot {0.026m}^{4}}

Next Step Prepare to Evaluate

∴

G = \frac{64 \cdot 10000 \cdot {0.32}^{3} \cdot 2}{5000 \cdot {0.026}^{4}}

Next Step Evaluate

∴

G = 18356780.2247821Pa

Next Step Convert to Output's Unit

∴

G = 18.3567802247821MPa

LAST Step Rounding Answer

∴

G = 18.3568MPa

Modulus of Rigidity given Deflection of Spring Formula Elements

Variables

Modulus of Rigidity of Spring

Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Number of Coils

The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Other Formulas to find Modulus of Rigidity of Spring

Go Modulus of Rigidity given Strain Energy Stored by Spring

G = \frac{32 \cdot P^{2} \cdot R^{3} \cdot N}{U \cdot d^{4}}

Go Modulus of Rigidity given Stiffness of Helical Spring

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

Other formulas in Loads and Parameter of Spring category

Go Twisting Moment on Wire of Helical Spring

D = P \cdot R

Go Twisting Moment given Maximum Shear Stress induced in Wire

D = \frac{π \cdot 𝜏 w \cdot d^{3}}{16}

Go Maximum Shear Stress induced in Wire given Twisting Moment

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

Go Maximum Shear Stress induced in Wire

𝜏 w = \frac{16 \cdot P \cdot R}{π \cdot d^{3}}

How to Evaluate Modulus of Rigidity given Deflection of Spring?

Modulus of Rigidity given Deflection of Spring evaluator uses Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4) to evaluate the Modulus of Rigidity of Spring, Modulus of rigidity given deflection of spring is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ. Modulus of Rigidity of Spring is denoted by G symbol.

How to evaluate Modulus of Rigidity given Deflection of Spring using this online evaluator? To use this online evaluator for Modulus of Rigidity given Deflection of Spring, enter Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Strain Energy (U) & Diameter of Spring Wire (d) and hit the calculate button.

FAQs on Modulus of Rigidity given Deflection of Spring

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

The formula of Modulus of Rigidity given Deflection of Spring is expressed as Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4). Here is an example- 6.5E-11 = (64*10000*0.32^3*2)/(5000*0.026^4).

How to calculate Modulus of Rigidity given Deflection of Spring?

With Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Strain Energy (U) & Diameter of Spring Wire (d) we can find Modulus of Rigidity given Deflection of Spring using the formula - Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4).

What are the other ways to Calculate Modulus of Rigidity of Spring?

Here are the different ways to Calculate Modulus of Rigidity of Spring-

Modulus of Rigidity of Spring=(32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Modulus of Rigidity of Spring=(64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)

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

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

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

Modulus of Rigidity given Deflection of Spring is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Rigidity given Deflection of Spring can be measured.

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Modulus of Rigidity given Deflection of Spring Formula

​GoModulus of Rigidity given Strain Energy Stored by Spring Formula

​GoModulus of Rigidity given Stiffness of Helical Spring Formula

Modulus of Rigidity given Deflection of Spring Example

Modulus of Rigidity given Deflection of Spring Solution

Modulus of Rigidity given Deflection of Spring Formula Elements

Other Formulas to find Modulus of Rigidity of Spring

Other formulas in Loads and Parameter of Spring category

How to Evaluate Modulus of Rigidity given Deflection of Spring?

FAQs on Modulus of Rigidity given Deflection of Spring

Variable Name

GoModulus of Rigidity given Strain Energy Stored by Spring Formula

GoModulus of Rigidity given Stiffness of Helical Spring Formula