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 = (๐œ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 = (๐œ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 โ‰ˆ 5.521663 Millimeter <-- Mean Radius Spring Coil
(Calculation completed in 00.004 seconds)

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6 Mean Radius of Spring Calculators

Mean Radius of Spring Rolls given Strain Energy Stored by Spring
Go Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)
Mean Radius of Spring Roll given Deflection of Spring
Go Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3)
Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring
Go 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 of Spring Coil given Maximum Shear Stress Induced in Wire
Go Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Mean Radius of Spring Rolls given Total Length of Wire of Spring
Go Mean Radius Spring Coil = Length of Wire of Spring/(2*pi*Number of Coils)
Mean Radius of Spring Coil
Go Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

11 Torsion of Coil Spring Calculators

Stress Concentration Factor at Inner Fibers of Coil given Spring Index
Go Stress Concentration Factor at Inner Fibers = (4*Spring Index of Coil Spring^2-Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring-1))
Stress Concentration Factor at Outer Fibers of Coils
Go Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1))
Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring
Go 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 of Spring Coil given Maximum Shear Stress Induced in Wire
Go Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Spring Index given Wire Diameter of Inner and Outer Springs
Go Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring)
Wire Diameter of Inner Spring given Wire Diameter of Outer Spring and Spring Index
Go Wire Diameter of Inner Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Outer Spring
Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index
Go Wire Diameter of Outer Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Inner Spring
Total Axial Gap between Coils of Spring
Go Total Axial Gap between Coils of Springs = (Total Number of Coils-1)*Axial Gap between Adjacent Coils Bearing Max Load
Compressed Length of Coil Spring
Go Compressed Length of Spring = Solid Length of Spring+Total Axial Gap between Coils of Springs
Pitch of Coil Spring
Go Pitch of Coil Spring = Free Length of Spring/(Total Number of Coils-1)
Mean Radius of Spring Coil
Go Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

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

Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
R = (๐œ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 (๐œ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 = (๐œ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 (๐œ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 7 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)
  • Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)
  • Mean Radius Spring Coil = Length of Wire of Spring/(2*pi*Number of Coils)
  • 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 = Twisting Moments on Shells/Axial Load
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