FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Formula

Fx Copy

LaTeX Copy

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 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 given Deflection for Close-Coiled Helical Spring Example

With values

With units

Only example

Here is how the Modulus of Rigidity given Deflection for Close-Coiled Helical Spring equation looks like with Values.

Here is how the Modulus of Rigidity given Deflection for Close-Coiled Helical Spring equation looks like with Units.

Here is how the Modulus of Rigidity given Deflection for Close-Coiled Helical Spring equation looks like.

40 = \frac{64 \cdot 85 \cdot 225^{3} \cdot 9}{3.4 \cdot 45^{4}}

40GPa = \frac{64 \cdot 85N \cdot {225mm}^{3} \cdot 9}{3.4mm \cdot {45mm}^{4}}

40 = \frac{64 \cdot 85 \cdot 225^{3} \cdot 9}{3.4 \cdot 45^{4}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Modulus of Rigidity given Deflection for Close-Coiled Helical Spring

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Solution

Follow our step by step solution on how to calculate Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

FIRST Step Consider the formula

G Torsion = \frac{64 \cdot W load \cdot R^{3} \cdot N}{δ \cdot d^{4}}

Next Step Substitute values of Variables

∴

G Torsion = \frac{64 \cdot 85N \cdot {225mm}^{3} \cdot 9}{3.4mm \cdot {45mm}^{4}}

Next Step Convert Units

∴

G Torsion = \frac{64 \cdot 85N \cdot {0.225m}^{3} \cdot 9}{0.0034m \cdot {0.045m}^{4}}

Next Step Prepare to Evaluate

∴

G Torsion = \frac{64 \cdot 85 \cdot {0.225}^{3} \cdot 9}{0.0034 \cdot {0.045}^{4}}

Next Step Evaluate

∴

G Torsion = 40000000000Pa

LAST Step Convert to Output's Unit

∴

G Torsion = 40GPa

Modulus of Rigidity given Deflection for Close-Coiled Helical 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 Close Coiled Helical Spring category

Go Deflection for Close-Coiled Helical Spring

δ = \frac{64 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot d^{4}}

Go Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring

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

Go Mean Radius of Spring given Deflection for Close-Coiled Helical Spring

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

Go Number of Spring Coils given Deflection for Close-Coiled Helical Spring

N = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot R^{3}}

How to Evaluate Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring evaluator uses Modulus of Rigidity = (64*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 given Deflection for Close-Coiled Helical Spring formula is defined as the measure of the rigidity of the body, 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 Deflection for Close-Coiled Helical Spring using this online evaluator? To use this online evaluator for Modulus of Rigidity given Deflection for Close-Coiled Helical 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 given Deflection for Close-Coiled Helical Spring

What is the formula to find Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

The formula of Modulus of Rigidity given Deflection for Close-Coiled Helical Spring is expressed as Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4). Here is an example- 4E-8 = (64*85*0.225^3*9)/(0.0034*0.045^4).

How to calculate Modulus of Rigidity given Deflection for Close-Coiled Helical 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 given Deflection for Close-Coiled Helical Spring using the formula - Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4).

Can the Modulus of Rigidity given Deflection for Close-Coiled Helical Spring be negative?

No, the Modulus of Rigidity given Deflection for Close-Coiled Helical Spring, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

Modulus of Rigidity given Deflection for Close-Coiled Helical 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 Deflection for Close-Coiled Helical Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Formula

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Example

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Solution

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Formula Elements

Other formulas in Close Coiled Helical Spring category

How to Evaluate Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

FAQs on Modulus of Rigidity given Deflection for Close-Coiled Helical Spring

Variable Name