Work Done on Spring given Axial Load on Spring Calculator

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%

✖Work done by/on a system is energy transferred by/to the system to/from its surroundings.ⓘ Work Done on Spring given Axial Load on Spring [w]

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Formula

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Work Done on Spring given Axial Load on Spring

Formula

`"w" = ("P"*"δ")/2`

Example

`"0.605KJ"=("10kN"*"121mm")/2`

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Work Done on Spring given Axial Load on Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done = (Axial Load*Deflection of Spring)/2
w = (P*δ)/2
This formula uses 3 Variables

Variables Used

Work Done - (Measured in Joule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.

STEP 1: Convert Input(s) to Base Unit

Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)
Deflection of Spring: 121 Millimeter --> 0.121 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (P*δ)/2 --> (10000*0.121)/2

Evaluating ... ...

w = 605

STEP 3: Convert Result to Output's Unit

605 Joule -->0.605 Kilojoule (Check conversion here)

FINAL ANSWER

0.605 Kilojoule <-- Work Done

(Calculation completed in 00.004 seconds)

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

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring

Go Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

Number of Coils given Strain Energy Stored by Spring

Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)

Strain Energy Stored by Spring

Go Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4)

Modulus of Rigidity given Deflection of Spring

Go Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

Number of Coils given Deflection of Spring

Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)

Number of Coils of Helical Spring given Stiffness of Spring

Go Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)

Modulus of Rigidity given Stiffness of Helical Spring

Go Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)

Stiffness of Helical Spring

Go Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)

Maximum Shear Stress induced in Wire

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

Maximum Shear Stress induced in Wire given Twisting Moment

Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)

Twisting Moment given Maximum Shear Stress induced in Wire

Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16

Number of Coils given Total Length of Wire of Spring

Go Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)

Total Length of Wire of Helical Spring given Mean Radius of Spring Roll

Go Length of Wire of Spring = 2*pi*Mean Radius Spring Coil*Number of Coils

Twisting Moment on Wire of Helical Spring

Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil

Stiffness of Spring given Deflection of Spring

Go Stiffness of Helical Spring = Axial Load/Deflection of Spring

Deflection of Spring given Stiffness of Spring

Go Deflection of Spring = Axial Load/Stiffness of Helical Spring

Total Length of Wire of Helical Spring

Go Length of Wire of Spring = Length of One Coil*Number of Coils

Work Done on Spring given Axial Load on Spring

Go Work Done = (Axial Load*Deflection of Spring)/2

Deflection of Spring given Work Done on Spring

Go Deflection of Spring = (2*Work Done)/Axial Load

Deflection given Average Load on Spring

Go Deflection of Spring = Work Done/Average Load

Work Done on Spring given Average Load

Go Work Done = Average Load*Deflection of Spring

Average Load on Spring

Go Average Load = Work Done/Deflection of Spring

Work Done on Spring given Axial Load on Spring Formula

Work Done = (Axial Load*Deflection of Spring)/2
w = (P*δ)/2

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 Work Done on Spring given Axial Load on Spring?

Work Done on Spring given Axial Load on Spring calculator uses Work Done = (Axial Load*Deflection of Spring)/2 to calculate the Work Done, Work done on spring given axial load on spring is said to be done when an object experiences displacement. It is represented by W. Work Done is denoted by w symbol.

How to calculate Work Done on Spring given Axial Load on Spring using this online calculator? To use this online calculator for Work Done on Spring given Axial Load on Spring, enter Axial Load (P) & Deflection of Spring (δ) and hit the calculate button. Here is how the Work Done on Spring given Axial Load on Spring calculation can be explained with given input values -> 0.000605 = (10000*0.121)/2.

FAQ

What is Work Done on Spring given Axial Load on Spring?

Work done on spring given axial load on spring is said to be done when an object experiences displacement. It is represented by W and is represented as w = (P*δ)/2 or Work Done = (Axial Load*Deflection of Spring)/2. Axial Load is defined as applying a force on a structure directly along an axis of the structure & Deflection of Spring is how a spring responds when force is applied or released.

How to calculate Work Done on Spring given Axial Load on Spring?

Work done on spring given axial load on spring is said to be done when an object experiences displacement. It is represented by W is calculated using Work Done = (Axial Load*Deflection of Spring)/2. To calculate Work Done on Spring given Axial Load on Spring, you need Axial Load (P) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Axial Load & Deflection 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 Work Done?

In this formula, Work Done uses Axial Load & Deflection of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Work Done = Average Load*Deflection of Spring

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