Axial Load on Spring given Deflection of Spring Calculator

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy [U]			+10% -10%
✖Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.ⓘ Modulus of Rigidity of Spring [G]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%
✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius Spring Coil [R]			+10% -10%
✖The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.ⓘ Number of Coils [N]			+10% -10%

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load on Spring given Deflection of Spring [P]

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Formula

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Axial Load on Spring given Deflection of Spring

Formula

`"P" = ("U"*"G"*"d"^4)/(64*"R"^3*"N")`

Example

`"2.179031kN"=("5KJ"*"4MPa"*("26mm")^4)/(64*("320mm")^3*"2")`

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Axial Load on Spring given Deflection of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
P = (U*G*d^4)/(64*R^3*N)
This formula uses 6 Variables

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.
Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Modulus of Rigidity of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
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.
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

STEP 1: Convert Input(s) to Base Unit

Strain Energy: 5 Kilojoule --> 5000 Joule (Check conversion here)
Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 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)
Number of Coils: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (U*G*d^4)/(64*R^3*N) --> (5000*4000000*0.026^4)/(64*0.32^3*2)

Evaluating ... ...

P = 2179.03137207031

STEP 3: Convert Result to Output's Unit

2179.03137207031 Newton -->2.17903137207031 Kilonewton (Check conversion here)

FINAL ANSWER

2.17903137207031 ≈ 2.179031 Kilonewton <-- Axial Load

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Helical Springs » Axial Load » Axial Load on Spring given Deflection of Spring

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National Institute Of Technology (NIT), Hamirpur

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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 Load on Spring given Deflection of Spring Formula

Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
P = (U*G*d^4)/(64*R^3*N)

What does strain energy tell you?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Axial Load on Spring given Deflection of Spring?

Axial Load on Spring given Deflection of Spring calculator uses Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils) to calculate the Axial Load, Axial load on spring given deflection of spring 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 Load on Spring given Deflection of Spring using this online calculator? To use this online calculator for Axial Load on Spring given Deflection of Spring, enter Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Number of Coils (N) and hit the calculate button. Here is how the Axial Load on Spring given Deflection of Spring calculation can be explained with given input values -> 617.981 = (5000*4000000*0.026^4)/(64*0.32^3*2).

FAQ

What is Axial Load on Spring given Deflection of Spring?

Axial load on spring given deflection of spring is defined as applying a force on a structure directly along an axis of the structure and is represented as P = (U*G*d^4)/(64*R^3*N) or Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils). The Strain Energy is defined as the energy stored in a body due to deformation, Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is, Diameter of spring wire is the diameter length of spring wire, Mean Radius Spring Coil is the mean radius of the coils of spring & The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

How to calculate Axial Load on Spring given Deflection of Spring?

Axial load on spring given deflection of spring is defined as applying a force on a structure directly along an axis of the structure is calculated using Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils). To calculate Axial Load on Spring given Deflection of Spring, you need Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Number of Coils (N). With our tool, you need to enter the respective value for Strain Energy, Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Number of Coils 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 Strain Energy, Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Number of Coils. 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 = 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
Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil)

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