What Determines the Stiffness of a Spring?

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The stiffness of a spring is determined by the balance of intermolecular forces, specifically the electrostatic attraction between electrons and protons, and the repulsion due to the exclusion principle. Atoms in a solid are spaced at an equilibrium distance, which represents the lowest-energy configuration, requiring energy to stretch or compress the spring. The modulus of elasticity, particularly the Young's modulus for materials like iron, quantifies stiffness, with stiffer materials exhibiting lower extension under a given force. Stiffness can be categorized into various types, including axial, bending, and torsional stiffness, each defined by specific formulas. Understanding these principles is essential for grasping the physics behind spring stiffness.
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Does anybody know why a spring has a stiffness, does anyone know the physics behind it like the intermoleculaor bonds etc. This would be a great help as my coursework has to be handed in next week. Thanks
 
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Hi fatboy_1989, welcome to PF. The atoms in any solid are spaced at an equilibrium distance from each other, at the balancing point between attraction and repulsion. (The attraction is electrostatic--electrons attracted to another atom's protons--and the repulsion is caused by the exclusion principle, if you've studied that.) The equilibrium spacing is the lowest-energy configuration, so it takes energy to stretch or compress it. When you stretch a spring, the work you are doing adds this energy.
 
thanks a lot very very appreciated
 
all materials have its stiffness. the strength of stiffness depends on the extension of the material under a definite amount of force ... the lower the extension, the stiffer the material is... in other words, it depends on the young modulus of spring, which is usally made of iron.
for forces between metallic atoms, it is usally consists of two kind forces - one with short-range repulsive force and that long-range attractive force.

for details, you can search on the internet or reference books.
 
Stiffness comes in many flavors. "Axial stiffness" AE/L or "Bending Stiffness" E I / L, Torsional or Twisting J G/ L... The list goes on... By definition (as related to the solution of most problems) the stiffness is the amount of force it takes to deflect something (usually a solid) by 1 unit.
 
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