Bar / Tube Stock Cut List Yield
How many cut pieces come off a stick of bar, tube, or angle and how many sticks to buy, with the saw kerf counted: pieces per stick = floor( (stock + kerf) / (piece + kerf) ); drop = stock - [pieces x piece + (pieces - 1) x kerf]; sticks = ceil(pieces needed / pieces per stick). A 20 ft (240 in) stick cut into 14.5 in pieces with a 1/8 in kerf yields 16 per stick with a 6.13 in drop, so 100 pieces take 7 sticks at 86.3% yield; a 24 ft stick cut into 40 in pieces yields 7 with a 7.63 in drop, 8 sticks for 50 pieces. N pieces take N-1 internal saw cuts. Mixed-length nesting, end trim, and clamping loss are not modeled; the cut list and saw govern. A material-ordering estimate.
Formula and source
pieces_per_stick = floor( (stock_length + kerf) / (piece_length + kerf) ); drop = stock_length - [pieces_per_stick x piece_length + (pieces_per_stick - 1) x kerf]; sticks = ceil(pieces_needed / pieces_per_stick); yield% = pieces_needed x piece_length / (sticks x stock_length) x 100.
Linear cut-list yield identity, first-principles; the stock length, cut length, saw kerf, and quantity come from the job.
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