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Spring Constant Calculator

Calculate spring constant (k), force, displacement, potential energy, and natural frequency using Hooke's Law. Supports series and parallel spring combinations and simple harmonic motion analysis.

N
m

Enter force and displacement to calculate spring constant (stiffness)

Hooke's Law

The force exerted by a spring is proportional to its displacement: F = kx, where k is the spring constant.

Common Spring Constants Reference

Spring TypeTypical Range (N/m)Applications
Soft Spring1-100 N/mPens, toys, light mechanisms
Medium Spring100-10,000 N/mSuspension, door hinges, valves
Stiff Spring10,000-100,000 N/mHeavy machinery, industrial valves
Very Stiff Spring>100,000 N/mVehicle suspension, presses
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Spring Constant Calculator Using Hooke's Law

Calculate spring properties using Hooke's Law, the fundamental principle describing spring behavior. Our calculator determines spring constant, force, displacement, potential energy, and natural frequency for mechanical systems, helping engineers and students analyze spring-based mechanisms.

What is Spring Constant?

The spring constant (k), also called stiffness, measures how much force is needed to stretch or compress a spring by a unit distance. A higher spring constant means a stiffer spring that requires more force to deform. Hooke's Law states that the force F exerted by a spring equals the spring constant k times the displacement x from equilibrium.

Hooke's Law Formula

F = kx, where F = force (N), k = spring constant (N/m), x = displacement (m)

Why Calculate Spring Constants?

Mechanical Design

Select appropriate springs for load requirements in mechanisms and machines.

Vibration Analysis

Calculate natural frequencies and design isolation systems.

Energy Storage

Determine potential energy stored in springs for energy recovery systems.

How to Use the Calculator

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Common Applications

Suspension Systems

Design vehicle and equipment suspension with proper spring rates for comfort and handling.

Physics Education

Learn Hooke's Law concepts and simple harmonic motion in physics courses.

Manufacturing

Select springs for assembly fixtures, clamps, and automated machinery.

Vibration Isolation

Design mounts and isolators to protect equipment from vibration.

Frequently Asked Questions

In series, springs are connected end-to-end and share the same force but have different displacements. The equivalent constant is less than any individual spring. In parallel, springs share displacement but forces add up. The equivalent constant is the sum of individual constants.

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