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

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Diameter of Spring wire is the diameter of the wire from which a spring is made. Check FAQs

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

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

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

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Here is how the Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring equation looks like with Values.

Here is how the Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring equation looks like with Units.

Here is how the Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring equation looks like.

45 = {(\frac{64 \cdot 85 \cdot 225^{3} \cdot 9}{40 \cdot 3.4})}^{\frac{1}{4}}

45mm = {(\frac{64 \cdot 85N \cdot {225mm}^{3} \cdot 9}{40GPa \cdot 3.4mm})}^{\frac{1}{4}}

45 = {(\frac{64 \cdot 85 \cdot 225^{3} \cdot 9}{40 \cdot 3.4})}^{\frac{1}{4}}

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

Follow our step by step solution on how to calculate Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{64 \cdot 85N \cdot {225mm}^{3} \cdot 9}{40GPa \cdot 3.4mm})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{64 \cdot 85N \cdot {0.225m}^{3} \cdot 9}{4E+10Pa \cdot 0.0034m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{64 \cdot 85 \cdot {0.225}^{3} \cdot 9}{4E+10 \cdot 0.0034})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.045m

LAST Step Convert to Output's Unit

∴

d = 45mm

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

Variables

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

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

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

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

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 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}}

Go Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring

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

How to Evaluate Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring?

Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring evaluator uses Diameter of Spring = ((64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Deflection of Spring))^(1/4) to evaluate the Diameter of Spring, The Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring formula is defined as the diameter of the cross-section of the spring wire. Diameter of Spring is denoted by d symbol.

How to evaluate Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring using this online evaluator? To use this online evaluator for Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring, enter Spring Load (W_load), Mean Radius (R), Number of Coils (N), Modulus of Rigidity (G_Torsion) & Deflection of Spring (δ) and hit the calculate button.

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

What is the formula to find Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring?

The formula of Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring is expressed as Diameter of Spring = ((64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Deflection of Spring))^(1/4). Here is an example- 49227.73 = ((64*85*0.225^3*9)/(40000000000*0.0034))^(1/4).

How to calculate Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring?

With Spring Load (W_load), Mean Radius (R), Number of Coils (N), Modulus of Rigidity (G_Torsion) & Deflection of Spring (δ) we can find Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring using the formula - Diameter of Spring = ((64*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Deflection of Spring))^(1/4).

Can the Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring be negative?

No, the Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring, measured in Length cannot be negative.

Which unit is used to measure Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring?

Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring can be measured.

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

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

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

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

Other formulas in Close Coiled Helical Spring category

How to Evaluate Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring?

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

Variable Name