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How to find the length of the material

keyword
compressionspring
materiallength
coilspring

Question Kazuhiro Ohashi

① For example, a material with a wire diameter of φ10 is wound into a coil shape with a shaft diameter of φ60.5. If the total length of the material is 10 m, is there any formula to find out how long the spring will be (free length in mm)?
② When the wire diameter is 2 and the total length of the material is unknown, is there any formula or method to obtain the length of the spring when winding the wire closely or when keeping the gap between the coils 2 to 3 times the wire diameter?
I am not good at mathematics or physics, so I do not know about this at all. Thank you in advance for your reply.

Answer Tokai Spring

Thank you for writing to us, Kazuhiro Ohashi!

The material length of the compression spring can be calculated by the following formula.
・Material length = average coil diameter x π (3.14) x total number of turns
※Coil mean diameter = coil inner diameter + wire diameter.

② In order to obtain the free length from the gaps of the coils of a compression spring, it is necessary to first find the height of the spring at its solid height.
・Compression spring height at its solid height = (total number of turns-1) x wire diameter + (t1 + t2)
※(t1 + t2): the sum of the thicknesses of both ends of the coil. If both ends are not ground, t1 = t2 = Wire diameter.
・Compression spring’s free height = Gap between coils x number of active coils + solid height.

Thanks again for your question!

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