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Diameter of Spring Wire given Deflection in Spring Formula

GoDiameter of Spring Wire given Resultant Stress in Spring Formula

GoDiameter of Spring Wire given Rate of Spring Formula

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

d = {(\frac{8 \cdot P \cdot (D^{3}) \cdot N a}{G \cdot δ})}^{\frac{1}{4}}

d - Diameter of Spring Wire?P - Axial Spring Force?D - Mean Coil Diameter of Spring?N_a - Active Coils in Spring?G - Modulus of Rigidity of Spring Wire?δ - Deflection of Spring?

Diameter of Spring Wire given Deflection in Spring Example

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Here is how the Diameter of Spring Wire given Deflection in Spring equation looks like with Values.

Here is how the Diameter of Spring Wire given Deflection in Spring equation looks like with Units.

Here is how the Diameter of Spring Wire given Deflection in Spring equation looks like.

4 = {(\frac{8 \cdot 138.2 \cdot (36^{3}) \cdot 10}{86400 \cdot 23.3212})}^{\frac{1}{4}}

4mm = {(\frac{8 \cdot 138.2N \cdot ({36mm}^{3}) \cdot 10}{86400N/mm² \cdot 23.3212mm})}^{\frac{1}{4}}

4 = {(\frac{8 \cdot 138.2 \cdot (36^{3}) \cdot 10}{86400 \cdot 23.3212})}^{\frac{1}{4}}

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Diameter of Spring Wire given Deflection in Spring Solution

Follow our step by step solution on how to calculate Diameter of Spring Wire given Deflection in Spring?

FIRST Step Consider the formula

d = {(\frac{8 \cdot P \cdot (D^{3}) \cdot N a}{G \cdot δ})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(\frac{8 \cdot 138.2N \cdot ({36mm}^{3}) \cdot 10}{86400N/mm² \cdot 23.3212mm})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{8 \cdot 138.2N \cdot ({0.036m}^{3}) \cdot 10}{8.6E+10Pa \cdot 0.0233m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{8 \cdot 138.2 \cdot ({0.036}^{3}) \cdot 10}{8.6E+10 \cdot 0.0233})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.004m

LAST Step Convert to Output's Unit

∴

d = 4mm

Diameter of Spring Wire given Deflection in Spring Formula Elements

Variables

Diameter of Spring Wire

Diameter of Spring Wire is the diameter of the wire of which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Axial Spring Force

Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Spring Force

Mean Coil Diameter of Spring

The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Spring

Active Coils in Spring

Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.

Symbol: N_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Active Coils in Spring

Modulus of Rigidity of Spring Wire

Modulus of rigidity of spring wire 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: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring Wire

Deflection of Spring

Deflection of Spring is how much the length of a spring changes 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 to find Diameter of Spring Wire

Go Diameter of Spring Wire given Resultant Stress in Spring

d = {(\frac{K \cdot 8 \cdot P \cdot D}{π \cdot 𝜏})}^{\frac{1}{3}}

Go Diameter of Spring Wire given Rate of Spring

d = {(\frac{k \cdot 8 \cdot D^{3} \cdot N a}{G})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Shear Stress Correction Factor

d = (K s - 1) \cdot \frac{D}{.5}

Other formulas in Stress and Deflections in Springs category

Go Resultant Stress in Spring

𝜏 = K \cdot \frac{8 \cdot P \cdot D}{π \cdot d^{3}}

Go Force acting on Spring given Resultant Stress

P = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot D}

Go Mean Coil Diameter given Resultant Stress in Spring

D = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot P}

Go Shear Stress Correction Factor

K s = (1 + (\frac{.5}{C}))

How to Evaluate Diameter of Spring Wire given Deflection in Spring?

Diameter of Spring Wire given Deflection in Spring evaluator uses Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4) to evaluate the Diameter of Spring Wire, Diameter of Spring Wire given Deflection in Spring formula is defined as a measure of the diameter of a spring wire based on the deflection of the spring, which is critical in determining the spring's stiffness and load-carrying capacity in mechanical systems. Diameter of Spring Wire is denoted by d symbol.

How to evaluate Diameter of Spring Wire given Deflection in Spring using this online evaluator? To use this online evaluator for Diameter of Spring Wire given Deflection in Spring, enter Axial Spring Force (P), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a), Modulus of Rigidity of Spring Wire (G) & Deflection of Spring (δ) and hit the calculate button.

FAQs on Diameter of Spring Wire given Deflection in Spring

What is the formula to find Diameter of Spring Wire given Deflection in Spring?

The formula of Diameter of Spring Wire given Deflection in Spring is expressed as Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4). Here is an example- 4000.483 = ((8*138.2*(0.036^3)*10)/(86400000000*0.02332125))^(1/4).

How to calculate Diameter of Spring Wire given Deflection in Spring?

With Axial Spring Force (P), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a), Modulus of Rigidity of Spring Wire (G) & Deflection of Spring (δ) we can find Diameter of Spring Wire given Deflection in Spring using the formula - Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4).

What are the other ways to Calculate Diameter of Spring Wire?

Here are the different ways to Calculate Diameter of Spring Wire-

Diameter of Spring Wire=((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
Diameter of Spring Wire=((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire))^(1/4)
Diameter of Spring Wire=(Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5

Can the Diameter of Spring Wire given Deflection in Spring be negative?

No, the Diameter of Spring Wire given Deflection in Spring, measured in Length cannot be negative.

Which unit is used to measure Diameter of Spring Wire given Deflection in Spring?

Diameter of Spring Wire given Deflection in 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 given Deflection in Spring can be measured.

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Diameter of Spring Wire given Deflection in Spring Formula

​GoDiameter of Spring Wire given Resultant Stress in Spring Formula

​GoDiameter of Spring Wire given Rate of Spring Formula

Diameter of Spring Wire given Deflection in Spring Example

Diameter of Spring Wire given Deflection in Spring Solution

Diameter of Spring Wire given Deflection in Spring Formula Elements

Other Formulas to find Diameter of Spring Wire

Other formulas in Stress and Deflections in Springs category

How to Evaluate Diameter of Spring Wire given Deflection in Spring?

FAQs on Diameter of Spring Wire given Deflection in Spring

Variable Name

GoDiameter of Spring Wire given Resultant Stress in Spring Formula

GoDiameter of Spring Wire given Rate of Spring Formula