The Force of a Fully Compressed Spring calculator computes the force based on the spring attributes.
INSTRUCTIONS: Choose units and enter the following:
- (E) Young's Modulus
- (d) Spring Wire Diameter
- (L) Free Length of Spring
- (n) Number of Active Spring Windings
- (v) Poisson ratio
- (D) Spring Outer Diameter
Maximum Force of a Spring (Fmax): The force is returned in newtons. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the maximum force of a spring is:
`F_(max) = (E*d^4(L-nd))/(16(1+v)(D-d)^3n)`
where:
- Fmax = force of a fully compressed spring
- E = Young's Modulus
- d = diameter of spring wire
- L = free length of spring
- n = number of active windings
- v = Poisson ratio
- D = Spring outer diameter
- Period of an Oscillating Spring: This computes the period of oscillation of a spring based on the spring constant and mass.
- Mass of a Spring: This computes the mass based on the spring constant and the period of oscillation.
- Angular Frequency of a Spring: This computes the angular frequency based on the spring constant and the mass.
- Spring Constant: This computes a spring's constant based on the mass and period of oscillation.
- Work done on a Spring: This computes the work based on the spring constant and the two positions of a spring.
- Hooke's Law: This computes the force to change the length of a spring based on the spring constant and length of displacement.
- Force to Fully Compress a Spring: This computes the force required to fully compress a spring based on the spring's physical attributes including the Young's Modulus, wire diameter, length of spring, number of windings, Poisson ratio, and outer diameter of the spring.