Rolled Plate Blank Length
Developed flat blank length to roll plate into a cylinder or ring at the neutral axis.
Example
You enter
- Diameter reference od
- Diameter (in) 12
- Plate thickness T (in) 0.25
- Neutral-axis k-factor (0-1) 0.5
You get
- Neutral-axis diameter 11.75
- Developed blank length 36.9137
No published worked example is on file for this calculation. It is checked against a hand-worked derivation of its method and an independent reference test.
Details, formula, and sources
ScopeL = 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 or tableDeveloped 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).
Source and editionDeveloped blank length to roll plate into a cylinder - first-principles arc-length geometry as in Machinery's Handbook (Industrial Press), by name; public domain.
Free accessPure arc-length geometry, public; the diameter, thickness, and k-factor are user-supplied.
What governsEstimate. AHJ and licensed professional govern.
API field namesreference, diameter_in, thickness_in, k_factor, neutral_dia_in, blank_length_in
- Neutral axis the neutral axis sits k x thickness from the inside face (default k = 0.5)plate-rolling geometry