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Diameter of Spring Wire given Twisting Moment Formula

GoDiameter of Spring Wire given Deflection of Spring Formula

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

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

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

d - Diameter of Spring Wire?D - Twisting Moments on Shells?𝜏_w - Maximum Shear Stress in Wire?π - Archimedes' constant?

Diameter of Spring Wire given Twisting Moment Example

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Here is how the Diameter of Spring Wire given Twisting Moment equation looks like with Values.

Here is how the Diameter of Spring Wire given Twisting Moment equation looks like with Units.

Here is how the Diameter of Spring Wire given Twisting Moment equation looks like.

100.6159 = {(\frac{16 \cdot 3.2}{3.1416 \cdot 16})}^{\frac{1}{3}}

100.6159mm = {(\frac{16 \cdot 3.2kN*m}{3.1416 \cdot 16MPa})}^{\frac{1}{3}}

100.6159 = {(\frac{16 \cdot 3.2}{3.1416 \cdot 16})}^{\frac{1}{3}}

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Diameter of Spring Wire given Twisting Moment Solution

Follow our step by step solution on how to calculate Diameter of Spring Wire given Twisting Moment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{16 \cdot 3.2kN*m}{π \cdot 16MPa})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(\frac{16 \cdot 3.2kN*m}{3.1416 \cdot 16MPa})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(\frac{16 \cdot 3200N*m}{3.1416 \cdot 1.6E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{16 \cdot 3200}{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 Twisting Moment 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

Twisting Moments on Shells

Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.

Symbol: D

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Twisting Moments on Shells

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 Maximum Shear Stress induced in Wire

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

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}}

How to Evaluate Diameter of Spring Wire given Twisting Moment?

Diameter of Spring Wire given Twisting Moment evaluator uses Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3) to evaluate the Diameter of Spring Wire, The Diameter of spring wire given twisting moment formula 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 Twisting Moment using this online evaluator? To use this online evaluator for Diameter of Spring Wire given Twisting Moment, enter Twisting Moments on Shells (D) & Maximum Shear Stress in Wire (𝜏_w) and hit the calculate button.

FAQs on Diameter of Spring Wire given Twisting Moment

What is the formula to find Diameter of Spring Wire given Twisting Moment?

The formula of Diameter of Spring Wire given Twisting Moment is expressed as Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3). Here is an example- 316920.3 = ((16*3200)/(pi*16000000))^(1/3).

How to calculate Diameter of Spring Wire given Twisting Moment?

With Twisting Moments on Shells (D) & Maximum Shear Stress in Wire (𝜏_w) we can find Diameter of Spring Wire given Twisting Moment using the formula - Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(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=((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3)
Diameter of Spring Wire=((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4)

Can the Diameter of Spring Wire given Twisting Moment be negative?

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

Which unit is used to measure Diameter of Spring Wire given Twisting Moment?

Diameter of Spring Wire given Twisting Moment 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 Twisting Moment can be measured.

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