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Initial tension + linear rate

Extension spring force

FD · d · Na

Inputs

User-entered force holding coils together before extension.
User-entered rate over the declared working range.
User-entered extension in the stated linear range.

Results

Total extension-spring forceF

38

Rate contributionkx

30

Declared spring rateMRR

1.5

N/mm
F = Fi + kx

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion

Method

Formula, when it applies, and when it does not

Calculate extension-spring force from initial tension, rate, and extension.

F = Fi + kx

When

  • Linear central travel region
  • Initial tension stated
  • Static screen only

Don’t

  • This applies F = Fi + kx using user-entered rate and initial tension. It excludes hook geometry, pretension manufacture, coil contact, nonlinear travel, travel stops, fatigue, corrosion, material condition, dynamic response, and manufacturer load or life limits.

Shigley's Mechanical Engineering Design