Axial Loading on Spring given Maximum Shear Stress induced in Wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil)
P = (𝜏s*pi*d^3)/(16*R)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Maximum Shear Stress on Shaft - (Measured in Pascal) - Maximum Shear Stress on Shaft that acts coplanar with a 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.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
STEP 1: Convert Input(s) to Base Unit
Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (𝜏s*pi*d^3)/(16*R) --> (100*pi*0.026^3)/(16*0.32)
Evaluating ... ...
P = 0.00107844985311512
STEP 3: Convert Result to Output's Unit
0.00107844985311512 Newton -->1.07844985311512E-06 Kilonewton (Check conversion here)
FINAL ANSWER
1.07844985311512E-06 1.1E-6 Kilonewton <-- Axial Load
(Calculation completed in 00.004 seconds)

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6 Axial Load Calculators

Axial Load on Spring given Strain Energy Stored by Spring
Go Axial Load = sqrt((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Mean Radius Spring Coil^3*Number of Coils))
Axial Load on Spring given Deflection of Spring
Go Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
Axial Loading on Spring given Maximum Shear Stress induced in Wire
Go Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil)
Axial Loading on Spring
Go Axial Load = Twisting Moments on Shells/Mean Radius Spring Coil
Axial Load of Spring for given Deflection and Stiffness of Spring
Go Axial Load = Stiffness of Helical Spring*Deflection of Spring
Axial Load on Spring given Work Done on Spring
Go Axial Load = (2*Work Done)/Deflection of Spring

Axial Loading on Spring given Maximum Shear Stress induced in Wire Formula

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

Where does shear stress occur?

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

How to Calculate Axial Loading on Spring given Maximum Shear Stress induced in Wire?

Axial Loading on Spring given Maximum Shear Stress induced in Wire calculator uses Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil) to calculate the Axial Load, Axial loading on spring given maximum shear stress induced in wire is defined as applying a force on a structure directly along an axis of the structure. Axial Load is denoted by P symbol.

How to calculate Axial Loading on Spring given Maximum Shear Stress induced in Wire using this online calculator? To use this online calculator for Axial Loading on Spring given Maximum Shear Stress induced in Wire, enter Maximum Shear Stress on Shaft (𝜏s), Diameter of Spring Wire (d) & Mean Radius Spring Coil (R) and hit the calculate button. Here is how the Axial Loading on Spring given Maximum Shear Stress induced in Wire calculation can be explained with given input values -> 1.3E-5 = (100*pi*0.026^3)/(16*0.32).

FAQ

What is Axial Loading on Spring given Maximum Shear Stress induced in Wire?
Axial loading on spring given maximum shear stress induced in wire is defined as applying a force on a structure directly along an axis of the structure and is represented as P = (𝜏s*pi*d^3)/(16*R) or Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil). Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces, Diameter of spring wire is the diameter length of spring wire & Mean Radius Spring Coil is the mean radius of the coils of spring.
How to calculate Axial Loading on Spring given Maximum Shear Stress induced in Wire?
Axial loading on spring given maximum shear stress induced in wire is defined as applying a force on a structure directly along an axis of the structure is calculated using Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil). To calculate Axial Loading on Spring given Maximum Shear Stress induced in Wire, you need Maximum Shear Stress on Shaft (𝜏s), Diameter of Spring Wire (d) & Mean Radius Spring Coil (R). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft, Diameter of Spring Wire & Mean Radius Spring Coil 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 Axial Load?
In this formula, Axial Load uses Maximum Shear Stress on Shaft, Diameter of Spring Wire & Mean Radius Spring Coil. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Axial Load = Stiffness of Helical Spring*Deflection of Spring
  • Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
  • Axial Load = sqrt((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Mean Radius Spring Coil^3*Number of Coils))
  • Axial Load = (2*Work Done)/Deflection of Spring
  • Axial Load = Twisting Moments on Shells/Mean Radius Spring Coil
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