Stiffness of Spring given Deflection of 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%

✖Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring given Deflection of Spring [k]

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Formula

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Stiffness of Spring given Deflection of Spring

Formula

`"k" = "P"/"δ"`

Example

`"82.64463kN/m"="10kN"/"121mm"`

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Stiffness of Spring given Deflection of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Helical Spring = Axial Load/Deflection of Spring
k = P/δ
This formula uses 3 Variables

Variables Used

Stiffness of Helical Spring - (Measured in Newton per Meter) - Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
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

k = P/δ --> 10000/0.121

Evaluating ... ...

k = 82644.6280991736

STEP 3: Convert Result to Output's Unit

82644.6280991736 Newton per Meter -->82.6446280991736 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

82.6446280991736 ≈ 82.64463 Kilonewton per Meter <-- Stiffness of Helical Spring

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Stiffness of Spring given Deflection of Spring Formula

Stiffness of Helical Spring = Axial Load/Deflection of Spring
k = P/δ

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 Stiffness of Spring given Deflection of Spring?

Stiffness of Spring given Deflection of Spring calculator uses Stiffness of Helical Spring = Axial Load/Deflection of Spring to calculate the Stiffness of Helical Spring, Stiffness of spring given deflection of spring is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. Stiffness of Helical Spring is denoted by k symbol.

How to calculate Stiffness of Spring given Deflection of Spring using this online calculator? To use this online calculator for Stiffness of Spring given Deflection of Spring, enter Axial Load (P) & Deflection of Spring (δ) and hit the calculate button. Here is how the Stiffness of Spring given Deflection of Spring calculation can be explained with given input values -> 0.082645 = 10000/0.121.

FAQ

What is Stiffness of Spring given Deflection of Spring?

Stiffness of spring given deflection of spring is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position and is represented as k = P/δ or Stiffness of Helical Spring = Axial Load/Deflection of Spring. 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 Stiffness of Spring given Deflection of Spring?

Stiffness of spring given deflection of spring is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position is calculated using Stiffness of Helical Spring = Axial Load/Deflection of Spring. To calculate Stiffness of Spring given Deflection of 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 Stiffness of Helical Spring?

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

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

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