FormulaDen.com

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

Diameter of Spring Wire given Resultant Stress in Spring Formula

GoDiameter of Spring Wire given Deflection in Spring Formula

GoDiameter of Spring Wire given Rate of Spring Formula

Fx Copy

LaTeX Copy

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

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

d - Diameter of Spring Wire?K - Wahl Factor of Spring?P - Axial Spring Force?D - Mean Coil Diameter of Spring?𝜏 - Shear Stress in Spring?π - Archimedes' constant?

Diameter of Spring Wire given Resultant Stress in Spring Example

With values

With units

Only example

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

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

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

4.0002 = {(\frac{1.162 \cdot 8 \cdot 138.2 \cdot 36}{3.1416 \cdot 230})}^{\frac{1}{3}}

4.0002mm = {(\frac{1.162 \cdot 8 \cdot 138.2N \cdot 36mm}{3.1416 \cdot 230N/mm²})}^{\frac{1}{3}}

4.0002 = {(\frac{1.162 \cdot 8 \cdot 138.2 \cdot 36}{3.1416 \cdot 230})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Diameter of Spring Wire given Resultant Stress in Spring

Diameter of Spring Wire given Resultant Stress in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{1.162 \cdot 8 \cdot 138.2N \cdot 36mm}{π \cdot 230N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(\frac{1.162 \cdot 8 \cdot 138.2N \cdot 36mm}{3.1416 \cdot 230N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(\frac{1.162 \cdot 8 \cdot 138.2N \cdot 0.036m}{3.1416 \cdot 2.3E+8Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{1.162 \cdot 8 \cdot 138.2 \cdot 0.036}{3.1416 \cdot 2.3E+8})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.0040001503651821m

Next Step Convert to Output's Unit

∴

d = 4.0001503651821mm

LAST Step Rounding Answer

∴

d = 4.0002mm

Diameter of Spring Wire given Resultant Stress in Spring Formula Elements

Variables

Constants

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

Wahl Factor of Spring

Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wahl Factor of Spring

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

Shear Stress in Spring

Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spring

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Diameter of Spring Wire

Go Diameter of Spring Wire given Deflection in Spring

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

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 Resultant Stress in Spring?

Diameter of Spring Wire given Resultant Stress in Spring evaluator uses Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3) to evaluate the Diameter of Spring Wire, Diameter of Spring Wire given Resultant Stress in Spring formula is defined as a measure of the diameter of a spring wire based on the resultant stress it can withstand, providing a crucial parameter in spring design and engineering applications where stress and deflections are critical factors. Diameter of Spring Wire is denoted by d symbol.

How to evaluate Diameter of Spring Wire given Resultant Stress in Spring using this online evaluator? To use this online evaluator for Diameter of Spring Wire given Resultant Stress in Spring, enter Wahl Factor of Spring (K), Axial Spring Force (P), Mean Coil Diameter of Spring (D) & Shear Stress in Spring (𝜏) and hit the calculate button.

FAQs on Diameter of Spring Wire given Resultant Stress in Spring

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

The formula of Diameter of Spring Wire given Resultant Stress in Spring is expressed as Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3). Here is an example- 4000.15 = ((1.162*8*138.2*0.036)/(pi*230000000))^(1/3).

How to calculate Diameter of Spring Wire given Resultant Stress in Spring?

With Wahl Factor of Spring (K), Axial Spring Force (P), Mean Coil Diameter of Spring (D) & Shear Stress in Spring (𝜏) we can find Diameter of Spring Wire given Resultant Stress in Spring using the formula - Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3). This formula also uses Archimedes' constant .

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=((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)
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 Resultant Stress in Spring be negative?

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

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

Diameter of Spring Wire given Resultant Stress 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 Resultant Stress in Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Diameter of Spring Wire given Resultant Stress in Spring Formula

​GoDiameter of Spring Wire given Deflection in Spring Formula

​GoDiameter of Spring Wire given Rate of Spring Formula

Diameter of Spring Wire given Resultant Stress in Spring Example

Diameter of Spring Wire given Resultant Stress in Spring Solution

Diameter of Spring Wire given Resultant Stress 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 Resultant Stress in Spring?

FAQs on Diameter of Spring Wire given Resultant Stress in Spring

Variable Name

GoDiameter of Spring Wire given Deflection in Spring Formula

GoDiameter of Spring Wire given Rate of Spring Formula