Force of Fully Compressed Spring

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 (F_max): 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:

• F_max = 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

Spring Equation Calculators

• 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.