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

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Diameter of Spring Axial Load Loads and Parameter of Spring Mean Radius of Spring

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius Spring Coil [R]			+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 Maximum Shear Stress induced in Wire [d]

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3)
d = ((16*P*R)/(pi*𝜏_w))^(1/3)
This formula uses 1 Constants, 4 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.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
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

Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 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*P*R)/(pi*𝜏_w))^(1/3) --> ((16*10000*0.32)/(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 00.020 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 Maximum Shear Stress induced in Wire Formula

LaTeX Go

Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3)
d = ((16*P*R)/(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 Maximum Shear Stress induced in Wire?

Diameter of Spring Wire given Maximum Shear Stress induced in Wire calculator uses Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3) to calculate 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 calculate Diameter of Spring Wire given Maximum Shear Stress induced in Wire using this online calculator? To use this online calculator 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. Here is how the Diameter of Spring Wire given Maximum Shear Stress induced in Wire calculation can be explained with given input values -> 100615.9 = ((16*10000*0.32)/(pi*16000000))^(1/3).

FAQ

What is Diameter of Spring Wire given Maximum Shear Stress induced in 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 and is represented as d = ((16*P*R)/(pi*𝜏_w))^(1/3) or Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3). Axial Load is defined as applying a force on a structure directly along an axis of the structure, Mean Radius Spring Coil is the mean radius of the coils of spring & 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 Maximum Shear Stress induced in 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 is calculated using Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3). To calculate Diameter of Spring Wire given Maximum Shear Stress induced in Wire, you need Axial Load (P), Mean Radius Spring Coil (R) & Maximum Shear Stress in Wire (𝜏_w). With our tool, you need to enter the respective value for Axial Load, Mean Radius Spring Coil & 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 Axial Load, Mean Radius Spring Coil & 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 = ((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)

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