Enter the diameter of the spring wire, the mean coil radius and the shear modulus into the calculator to determine the conical spring force.

Coil (Conical) Spring Force Formula

The following equation is used to calculate the Coil (Conical) Spring Force.

F = pi/16 * d^3 / r * t
  • Where F is the force (N)
  • d is the diameter of the wire (m)
  • r is the mean radius of the coil (m)
  • t is the shear modulus of the material (Pa)

To calculate the conical spring force, divide pi by 16, multiply by the diameter cubed, divide by the mean radius, and finally, multiply by the shear modulus.

What is a Coil (Conical) Spring Force?

Definition:

A coil spring force is a type of mechanical force that works in conjunction with a conical coil and can be used to exert a force on an object. It is typically used in electronic devices, such as clocks and wristwatches, to help them keep track of time.

How to Calculate Coil (Conical) Spring Force?

Example Problem:

The following example outlines the steps and information needed to calculate the Coil (Conical) Spring Force.

First, determine the diameter of the wire. In this example, the wires have a diameter of .125m.

Next, determine the mean radius of the coil. This is measured to be .56m.

Next, determine the shear modulus. This is found to be 1500 Pa.

Finally, calculate the coil spring force using the formula above:

F = pi/16 * d^3 / r * t

F = 3.14159/16 * .125^3 / .56 * 1500

F = 1.027 N

FAQ

What factors affect the performance of a conical spring?

The performance of a conical spring can be affected by several factors including the material of the spring, the diameter of the wire, the mean coil radius, the number of coils, and the way the spring is loaded (compression, tension, torsion). Environmental factors such as temperature and humidity can also play a role.

Can the conical spring force formula be used for any type of spring?

No, the conical spring force formula is specifically designed for calculating the force in coil (conical) springs. Different types of springs, such as leaf springs, torsion springs, or extension springs, have their own unique formulas based on their design and the way they store mechanical energy.

How do you measure the shear modulus of a material for use in the conical spring force calculation?

The shear modulus of a material, also known as the modulus of rigidity, measures the material’s response to shear stress. It can be determined through laboratory testing where a sample of the material is subjected to shear force, and the deformation is measured. The shear modulus is then calculated by dividing the shear stress by the shear strain. It is a material property and is often provided in material science textbooks or material databases.