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Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Calculator

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

✖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 [d]			+10% -10%
✖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 of Spring Coil given Maximum Shear Stress Induced in Wire [R]

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Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
R = (𝜏_w*pi*d^3)/(16*P)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress in Wire: 16 Megapascal --> 16000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (𝜏_w*pi*d^3)/(16*P) --> (16000000*pi*0.026^3)/(16*10000)

Evaluating ... ...

R = 0.00552166324794942

STEP 3: Convert Result to Output's Unit

0.00552166324794942 Meter -->5.52166324794942 Millimeter (Check conversion here)

FINAL ANSWER

5.52166324794942 ≈ 5.521663 Millimeter <-- Mean Radius Spring Coil

(Calculation completed in 00.020 seconds)

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Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

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

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Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula

LaTeX Go

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

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 Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

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

How to calculate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire using this online calculator? To use this online calculator for Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire, enter Maximum Shear Stress in Wire (𝜏_w), Diameter of Spring Wire (d) & Axial Load (P) and hit the calculate button. Here is how the Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire calculation can be explained with given input values -> 6.8E+7 = (16000000*pi*0.026^3)/(16*10000).

FAQ

What is Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

Mean radius of spring coil given maximum shear stress induced in wire is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R = (𝜏_w*pi*d^3)/(16*P) or Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load). Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces, Diameter of spring wire is the diameter length of spring wire & Axial Load is defined as applying a force on a structure directly along an axis of the structure.

How to calculate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

Mean radius of spring coil given maximum shear stress induced in wire is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load). To calculate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire, you need Maximum Shear Stress in Wire (𝜏_w), Diameter of Spring Wire (d) & Axial Load (P). With our tool, you need to enter the respective value for Maximum Shear Stress in Wire, Diameter of Spring Wire & Axial Load 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 Mean Radius Spring Coil?

In this formula, Mean Radius Spring Coil uses Maximum Shear Stress in Wire, Diameter of Spring Wire & Axial Load. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load
Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)
Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3)

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