Force acting on Spring given Resultant Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)
P = ๐œ*(pi*d^3)/(K*8*D)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
Shear Stress in Spring - (Measured in Pascal) - Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
Wahl Factor of Spring - Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Spring: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Wahl Factor of Spring: 1.162 --> No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ๐œ*(pi*d^3)/(K*8*D) --> 230000000*(pi*0.004^3)/(1.162*8*0.036)
Evaluating ... ...
P = 138.184415820549
STEP 3: Convert Result to Output's Unit
138.184415820549 Newton --> No Conversion Required
FINAL ANSWER
138.184415820549 โ‰ˆ 138.1844 Newton <-- Axial Spring Force
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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24 Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Deflection in Spring
Go Diameter of spring wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Deflection of Spring))^(1/4)
Mean Coil Diameter given Deflection in Spring
Go Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)
Number of Active Coils given Deflection in Spring
Go Active Coils in Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))
Modulus of Rigidity given Deflection in Spring
Go Modulus of rigidity of spring wire = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Deflection of Spring*Diameter of spring wire^4)
Deflection of Spring
Go Deflection of Spring = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Diameter of spring wire^4)
Force Applied on Spring given Deflection in Spring
Go Axial Spring Force = Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)
Diameter of Spring Wire given Resultant Stress in Spring
Go Diameter of spring wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
Mean Coil Diameter given Resultant Stress in Spring
Go Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
Force acting on Spring given Resultant Stress
Go Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)
Resultant Stress in Spring
Go Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of spring wire^3)
Diameter of Spring Wire given Rate of Spring
Go Diameter of spring wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/ (Modulus of rigidity of spring wire))^(1/4)
Mean Coil Diameter given Rate of Spring
Go Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)
Modulus of Rigidity given Rate of Spring
Go Modulus of rigidity of spring wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of spring wire^4
Rate of Spring
Go Stiffness of Spring = Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)
Stress Factor of Spring
Go Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index)
Shear Stress Correction Factor given Diameter of Spring Wire
Go Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring))
Mean Coil diameter given Shear Stress Correction Factor
Go Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)
Diameter of Spring Wire given Shear Stress Correction Factor
Go Diameter of spring wire = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5
Strain Energy Stored in Spring
Go Strain energy in spring = .5*Axial Spring Force*Deflection of Spring
Force Applied on Spring given Strain Energy Stored in Spring
Go Axial Spring Force = 2*Strain energy in spring/Deflection of Spring
Deflection of Spring given Strain Energy Stored
Go Deflection of Spring = 2*Strain energy in spring/Axial Spring Force
Rate of Spring given Deflection
Go Stiffness of Spring = Axial Spring Force/Deflection of Spring
Spring Index given Shear Stress Correction Factor
Go Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1)
Shear Stress Correction Factor
Go Shear Stress Correction Factor of Spring = (1+(.5/Spring Index))

Force acting on Spring given Resultant Stress Formula

Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)
P = ๐œ*(pi*d^3)/(K*8*D)

Define Stress Factor of the Spring?

The stiffness is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor.

How to Calculate Force acting on Spring given Resultant Stress?

Force acting on Spring given Resultant Stress calculator uses Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring) to calculate the Axial Spring Force, The Force acting on Spring given Resultant Stress formula is defined as the force a spring exerts as a restoring force, it acts to restore the spring to its equilibrium length. Axial Spring Force is denoted by P symbol.

How to calculate Force acting on Spring given Resultant Stress using this online calculator? To use this online calculator for Force acting on Spring given Resultant Stress, enter Shear Stress in Spring (๐œ), Diameter of spring wire (d), Wahl Factor of Spring (K) & Mean Coil Diameter of Spring (D) and hit the calculate button. Here is how the Force acting on Spring given Resultant Stress calculation can be explained with given input values -> 138.1844 = 230000000*(pi*0.004^3)/(1.162*8*0.036).

FAQ

What is Force acting on Spring given Resultant Stress?
The Force acting on Spring given Resultant Stress formula is defined as the force a spring exerts as a restoring force, it acts to restore the spring to its equilibrium length and is represented as P = ๐œ*(pi*d^3)/(K*8*D) or Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring). Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress, Diameter of spring wire is the diameter of the wire of which a spring is made, Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil & The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
How to calculate Force acting on Spring given Resultant Stress?
The Force acting on Spring given Resultant Stress formula is defined as the force a spring exerts as a restoring force, it acts to restore the spring to its equilibrium length is calculated using Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring). To calculate Force acting on Spring given Resultant Stress, you need Shear Stress in Spring (๐œ), Diameter of spring wire (d), Wahl Factor of Spring (K) & Mean Coil Diameter of Spring (D). With our tool, you need to enter the respective value for Shear Stress in Spring, Diameter of spring wire, Wahl Factor of Spring & Mean Coil Diameter of Spring 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 Spring Force?
In this formula, Axial Spring Force uses Shear Stress in Spring, Diameter of spring wire, Wahl Factor of Spring & Mean Coil Diameter of Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Axial Spring Force = Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)
  • Axial Spring Force = 2*Strain energy in spring/Deflection of Spring
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