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Diameter of Spring Wire given Twisting Moment Calculator

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✖Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.ⓘ Twisting Moments on Shells [D]			+10% -10%
✖Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress in Wire [𝜏_w]			+10% -10%

✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire given Twisting Moment [d]

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Diameter of Spring Wire given Twisting Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3)
d = ((16*D)/(pi*𝜏_w))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
Twisting Moments on Shells - (Measured in Newton Meter) - Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.
Maximum Shear Stress in Wire - (Measured in Pascal) - Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.

STEP 1: Convert Input(s) to Base Unit

Twisting Moments on Shells: 3.2 Kilonewton Meter --> 3200 Newton Meter (Check conversion here)
Maximum Shear Stress in Wire: 16 Megapascal --> 16000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((16*D)/(pi*𝜏_w))^(1/3) --> ((16*3200)/(pi*16000000))^(1/3)

Evaluating ... ...

d = 0.100615919832087

STEP 3: Convert Result to Output's Unit

0.100615919832087 Meter -->100.615919832087 Millimeter (Check conversion here)

FINAL ANSWER

100.615919832087 ≈ 100.6159 Millimeter <-- Diameter of Spring Wire

(Calculation completed in 00.004 seconds)

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< Diameter of Spring Calculators

Diameter of Spring Wire given Strain Energy Stored by Spring

LaTeX Go 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)

Diameter of Spring Wire given Deflection of Spring

LaTeX Go 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 given Stiffness of Helical Spring

LaTeX Go 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 given Maximum Shear Stress induced in Wire

LaTeX Go Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3)

Diameter of Spring Wire given Twisting Moment Formula

LaTeX Go

Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3)
d = ((16*D)/(pi*𝜏_w))^(1/3)

Where does shear stress occur?

The maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surface of the beam. Shear flow has the units of force per unit distance.

How to Calculate Diameter of Spring Wire given Twisting Moment?

Diameter of Spring Wire given Twisting Moment calculator uses Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3) to calculate 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 calculate Diameter of Spring Wire given Twisting Moment using this online calculator? To use this online calculator 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. Here is how the Diameter of Spring Wire given Twisting Moment calculation can be explained with given input values -> 316920.3 = ((16*3200)/(pi*16000000))^(1/3).

FAQ

What is Diameter of Spring Wire given Twisting Moment?

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 and is represented as d = ((16*D)/(pi*𝜏_w))^(1/3) or Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3). Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted & Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.

How to calculate Diameter of Spring Wire given Twisting Moment?

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 is calculated using Diameter of Spring Wire = ((16*Twisting Moments on Shells)/(pi*Maximum Shear Stress in Wire))^(1/3). To calculate Diameter of Spring Wire given Twisting Moment, you need Twisting Moments on Shells (D) & Maximum Shear Stress in Wire (𝜏_w). With our tool, you need to enter the respective value for Twisting Moments on Shells & Maximum Shear Stress in Wire and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Spring Wire?

In this formula, Diameter of Spring Wire uses Twisting Moments on Shells & Maximum Shear Stress in Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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