Mathematical Model for Determining the Quantity of Materials Produced in Sawmilling

A mathematical model is presented for accurately determining the volume of flitches, sawdust, and slabs produced from the kerf-centered live sawing of hardwood sawlogs assumed to be in the shape of truncated cones. The model is incorporated into a computer simulation program for a hardwood sawmill. The user, without actually processing logs, can study the effect of a wide variety of raw material and processing variables on sawmill output of flitches, lumber, slabs, edgings, trims, shims, and the respective quantities of sawdust produced at the head saw, edger, and trimmer. Computer sawing of logs on the simulator resulted in lumber and residue yields closely approximating published empirical data.

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