Rolled Plate Blank Length
Developed flat blank length to roll plate into a cylinder or ring at the neutral axis: L = pi x neutral-diameter, with neutral axis k x T from the inside (D_neutral = OD - 2T(1-k) = ID + 2kT; default k = 0.5 mid-thickness gives pi x (OD - T)) (first-principles arc-length geometry).
Formula and source
Developed flat length L = pi x neutral-axis diameter; with the neutral axis k x T from the inside, D_neutral = OD - 2T(1-k) = ID + 2kT. Default k = 0.5 (mid-thickness) gives L = pi x (OD - T).
Developed blank length to roll plate into a cylinder - first-principles arc-length geometry as in Machinery's Handbook (Industrial Press), by name; public domain.
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