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 Torsional Stress Amplitude Formula

GoDiameter of Spring Wire given Mean Stress in 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 = {(8 \cdot K s \cdot P a \cdot \frac{D}{π \cdot τ a})}^{\frac{1}{3}}

d - Diameter of Spring Wire?K_s - Shear Stress Correction Factor of Spring?P_a - Spring Force Amplitude?D - Mean Coil Diameter of Spring?τ_a - Torsional Stress Amplitude in Spring?π - Archimedes' constant?

Diameter of Spring Wire given Torsional Stress Amplitude Example

With values

With units

Only example

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

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

Here is how the Diameter of Spring Wire given Torsional Stress Amplitude equation looks like.

4.0114 = {(8 \cdot 1.08 \cdot 50.2 \cdot \frac{36}{3.1416 \cdot 77})}^{\frac{1}{3}}

4.0114mm = {(8 \cdot 1.08 \cdot 50.2N \cdot \frac{36mm}{3.1416 \cdot 77N/mm²})}^{\frac{1}{3}}

4.0114 = {(8 \cdot 1.08 \cdot 50.2 \cdot \frac{36}{3.1416 \cdot 77})}^{\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 Torsional Stress Amplitude

Diameter of Spring Wire given Torsional Stress Amplitude Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(8 \cdot 1.08 \cdot 50.2N \cdot \frac{36mm}{π \cdot 77N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(8 \cdot 1.08 \cdot 50.2N \cdot \frac{36mm}{3.1416 \cdot 77N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(8 \cdot 1.08 \cdot 50.2N \cdot \frac{0.036m}{3.1416 \cdot 7.7E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(8 \cdot 1.08 \cdot 50.2 \cdot \frac{0.036}{3.1416 \cdot 7.7E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.00401137368203605m

Next Step Convert to Output's Unit

∴

d = 4.01137368203605mm

LAST Step Rounding Answer

∴

d = 4.0114mm

Diameter of Spring Wire given Torsional Stress Amplitude 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

Spring Force Amplitude

The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.

Symbol: P_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Spring Force Amplitude

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

Torsional Stress Amplitude in Spring

Torsional Stress Amplitude in Spring is defined as the effect of stress concentration due to curvature in addition to direct shear stress in the spring.

Symbol: τ_a

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Stress Amplitude 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 Mean Stress in Spring

d = {(8 \cdot K s \cdot P m \cdot \frac{D}{π \cdot σ m})}^{\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 Torsional Stress Amplitude?

Diameter of Spring Wire given Torsional Stress Amplitude evaluator uses 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) to evaluate the Diameter of Spring Wire, Diameter of Spring Wire given Torsional Stress Amplitude formula is defined as a measure of the diameter of a spring wire under torsional stress amplitude, which is essential in designing springs against fluctuating loads, ensuring the spring's reliability and performance. Diameter of Spring Wire is denoted by d symbol.

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

FAQs on Diameter of Spring Wire given Torsional Stress Amplitude

What is the formula to find Diameter of Spring Wire given Torsional Stress Amplitude?

The formula of Diameter of Spring Wire given Torsional Stress Amplitude is expressed as 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). Here is an example- 4011.374 = (8*1.08*49.95129*0.036/(pi*77000000))^(1/3).

How to calculate Diameter of Spring Wire given Torsional Stress Amplitude?

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

Can the Diameter of Spring Wire given Torsional Stress Amplitude be negative?

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

Which unit is used to measure Diameter of Spring Wire given Torsional Stress Amplitude?

Diameter of Spring Wire given Torsional Stress Amplitude 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 Torsional Stress Amplitude can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Diameter of Spring Wire given Torsional Stress Amplitude Formula

​GoDiameter of Spring Wire given Mean Stress in Spring Formula

Diameter of Spring Wire given Torsional Stress Amplitude Example

Diameter of Spring Wire given Torsional Stress Amplitude Solution

Diameter of Spring Wire given Torsional Stress Amplitude 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 Torsional Stress Amplitude?

FAQs on Diameter of Spring Wire given Torsional Stress Amplitude

Variable Name

GoDiameter of Spring Wire given Mean Stress in Spring Formula