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Diameter of Spring Wire given Maximum Shear Stress induced in Wire Formula

GoDiameter of Spring Wire given Deflection of Spring Formula

GoDiameter of Spring Wire given Stiffness of Helical Spring Formula

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Diameter of spring wire is the diameter length of spring wire. Check FAQs

d = {(\frac{16 \cdot P \cdot R}{π \cdot 𝜏 w})}^{\frac{1}{3}}

d - Diameter of Spring Wire?P - Axial Load?R - Mean Radius Spring Coil?𝜏_w - Maximum Shear Stress in Wire?π - Archimedes' constant?

Diameter of Spring Wire given Maximum Shear Stress induced in Wire Example

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

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

Here is how the Diameter of Spring Wire given Maximum Shear Stress induced in Wire equation looks like.

100.6159 = {(\frac{16 \cdot 10 \cdot 320}{3.1416 \cdot 16})}^{\frac{1}{3}}

100.6159mm = {(\frac{16 \cdot 10kN \cdot 320mm}{3.1416 \cdot 16MPa})}^{\frac{1}{3}}

100.6159 = {(\frac{16 \cdot 10 \cdot 320}{3.1416 \cdot 16})}^{\frac{1}{3}}

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Diameter of Spring Wire given Maximum Shear Stress induced in Wire Solution

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

FIRST Step Consider the formula

d = {(\frac{16 \cdot P \cdot R}{π \cdot 𝜏 w})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d = {(\frac{16 \cdot 10kN \cdot 320mm}{π \cdot 16MPa})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(\frac{16 \cdot 10kN \cdot 320mm}{3.1416 \cdot 16MPa})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(\frac{16 \cdot 10000N \cdot 0.32m}{3.1416 \cdot 1.6E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{16 \cdot 10000 \cdot 0.32}{3.1416 \cdot 1.6E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.100615919832087m

Next Step Convert to Output's Unit

∴

d = 100.615919832087mm

LAST Step Rounding Answer

∴

d = 100.6159mm

Diameter of Spring Wire given Maximum Shear Stress induced in Wire Formula Elements

Variables

Constants

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Maximum Shear Stress in Wire

Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.

Symbol: 𝜏_w

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress in Wire

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 of Spring

d = {(\frac{64 \cdot P \cdot R^{3} \cdot N}{G \cdot U})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Stiffness of Helical Spring

d = {(\frac{64 \cdot k \cdot R^{3} \cdot N}{G})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Strain Energy Stored by Spring

d = {(\frac{32 \cdot P^{2} \cdot R^{3} \cdot N}{G \cdot U})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Twisting Moment

d = {(\frac{16 \cdot D}{π \cdot 𝜏 w})}^{\frac{1}{3}}

How to Evaluate Diameter of Spring Wire given Maximum Shear Stress induced in Wire?

Diameter of Spring Wire given Maximum Shear Stress induced in Wire evaluator uses Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3) to evaluate the Diameter of Spring Wire, Diameter of spring wire given maximum shear stress induced in wire is defined as twice a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Diameter of Spring Wire is denoted by d symbol.

How to evaluate Diameter of Spring Wire given Maximum Shear Stress induced in Wire using this online evaluator? To use this online evaluator for Diameter of Spring Wire given Maximum Shear Stress induced in Wire, enter Axial Load (P), Mean Radius Spring Coil (R) & Maximum Shear Stress in Wire (𝜏_w) and hit the calculate button.

FAQs on Diameter of Spring Wire given Maximum Shear Stress induced in Wire

What is the formula to find Diameter of Spring Wire given Maximum Shear Stress induced in Wire?

The formula of Diameter of Spring Wire given Maximum Shear Stress induced in Wire is expressed as Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3). Here is an example- 100615.9 = ((16*10000*0.32)/(pi*16000000))^(1/3).

How to calculate Diameter of Spring Wire given Maximum Shear Stress induced in Wire?

With Axial Load (P), Mean Radius Spring Coil (R) & Maximum Shear Stress in Wire (𝜏_w) we can find Diameter of Spring Wire given Maximum Shear Stress induced in Wire using the formula - Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(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=((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)
Diameter of Spring Wire=((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4)
Diameter of Spring Wire=((32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)

Can the Diameter of Spring Wire given Maximum Shear Stress induced in Wire be negative?

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

Which unit is used to measure Diameter of Spring Wire given Maximum Shear Stress induced in Wire?

Diameter of Spring Wire given Maximum Shear Stress induced in Wire 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 Maximum Shear Stress induced in Wire can be measured.

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Diameter of Spring Wire given Maximum Shear Stress induced in Wire Formula

​GoDiameter of Spring Wire given Deflection of Spring Formula

​GoDiameter of Spring Wire given Stiffness of Helical Spring Formula

Diameter of Spring Wire given Maximum Shear Stress induced in Wire Example

Diameter of Spring Wire given Maximum Shear Stress induced in Wire Solution

Diameter of Spring Wire given Maximum Shear Stress induced in Wire Formula Elements

Other Formulas to find Diameter of Spring Wire

How to Evaluate Diameter of Spring Wire given Maximum Shear Stress induced in Wire?

FAQs on Diameter of Spring Wire given Maximum Shear Stress induced in Wire

Variable Name

GoDiameter of Spring Wire given Deflection of Spring Formula

GoDiameter of Spring Wire given Stiffness of Helical Spring Formula