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Diameter of Spring Wire given Mean Stress in Spring Formula

GoDiameter of Spring Wire given Torsional Stress Amplitude Formula

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

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

d - Diameter of Spring Wire?K_s - Shear Stress Correction Factor of Spring?P_m - Mean Spring Force?D - Mean Coil Diameter of Spring?σ_m - Mean Shear Stress in Spring?π - Archimedes' constant?

Diameter of Spring Wire given Mean Stress in Spring Example

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

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

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

4.0047 = {(8 \cdot 1.08 \cdot 101.2 \cdot \frac{36}{3.1416 \cdot 156})}^{\frac{1}{3}}

4.0047mm = {(8 \cdot 1.08 \cdot 101.2N \cdot \frac{36mm}{3.1416 \cdot 156N/mm²})}^{\frac{1}{3}}

4.0047 = {(8 \cdot 1.08 \cdot 101.2 \cdot \frac{36}{3.1416 \cdot 156})}^{\frac{1}{3}}

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Diameter of Spring Wire given Mean Stress in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(8 \cdot 1.08 \cdot 101.2N \cdot \frac{36mm}{π \cdot 156N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(8 \cdot 1.08 \cdot 101.2N \cdot \frac{36mm}{3.1416 \cdot 156N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(8 \cdot 1.08 \cdot 101.2N \cdot \frac{0.036m}{3.1416 \cdot 1.6E+8Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(8 \cdot 1.08 \cdot 101.2 \cdot \frac{0.036}{3.1416 \cdot 1.6E+8})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.00400473787260499m

Next Step Convert to Output's Unit

∴

d = 4.00473787260499mm

LAST Step Rounding Answer

∴

d = 4.0047mm

Diameter of Spring Wire given Mean 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

Shear Stress Correction Factor of Spring

Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Stress Correction Factor of Spring

Mean Spring Force

Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.

Symbol: P_m

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Mean Spring Force

Mean Coil Diameter of Spring

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

Mean Shear Stress in Spring

Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.

Symbol: σ_m

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Mean 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 Torsional Stress Amplitude

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

Other formulas in Design Against Fluctuating Load category

Go Mean Force on spring

P m = \frac{P min + P max}{2}

Go Maximum Force on Spring given Mean Force

P max = 2 \cdot P m - P min

Go Minimum Force on Spring given Mean Force

P min = 2 \cdot P m - P max

Go Force Amplitude of Spring

P a = .5 \cdot (P max - P min)

How to Evaluate Diameter of Spring Wire given Mean Stress in Spring?

Diameter of Spring Wire given Mean Stress in Spring evaluator uses Diameter of Spring Wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3) to evaluate the Diameter of Spring Wire, Diameter of Spring Wire given Mean Stress in Spring formula is defined as a measure of the diameter of a spring wire under fluctuating load conditions, considering the mean stress, spring diameter, and material properties, to ensure safe and reliable design against fatigue failure. Diameter of Spring Wire is denoted by d symbol.

How to evaluate Diameter of Spring Wire given Mean Stress in Spring using this online evaluator? To use this online evaluator for Diameter of Spring Wire given Mean Stress in Spring, enter Shear Stress Correction Factor of Spring (K_s), Mean Spring Force (P_m), Mean Coil Diameter of Spring (D) & Mean Shear Stress in Spring (σ_m) and hit the calculate button.

FAQs on Diameter of Spring Wire given Mean Stress in Spring

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

The formula of Diameter of Spring Wire given Mean Stress in Spring is expressed as Diameter of Spring Wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3). Here is an example- 4004.738 = (8*1.08*101.2*0.036/(pi*156000000))^(1/3).

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

With Shear Stress Correction Factor of Spring (K_s), Mean Spring Force (P_m), Mean Coil Diameter of Spring (D) & Mean Shear Stress in Spring (σ_m) we can find Diameter of Spring Wire given Mean Stress in Spring using the formula - Diameter of Spring Wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean 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*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3)

Can the Diameter of Spring Wire given Mean Stress in Spring be negative?

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

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

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

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Diameter of Spring Wire given Mean Stress in Spring Formula

​GoDiameter of Spring Wire given Torsional Stress Amplitude Formula

Diameter of Spring Wire given Mean Stress in Spring Example

Diameter of Spring Wire given Mean Stress in Spring Solution

Diameter of Spring Wire given Mean Stress in Spring Formula Elements

Other Formulas to find Diameter of Spring Wire

Other formulas in Design Against Fluctuating Load category

How to Evaluate Diameter of Spring Wire given Mean Stress in Spring?

FAQs on Diameter of Spring Wire given Mean Stress in Spring

Variable Name

GoDiameter of Spring Wire given Torsional Stress Amplitude Formula