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Development of the Sawing Process Theory

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V.R. Fergin

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When slabbing, the optimal diameter of the log depends not only on the given thickness of the beam, but also on the geometric parameters of the log: length and average taper. In this case, the ratio of the specified thickness of the beam to the optimal diameter of the log dif-fers from the classical one, and the cross-section of a beam of a maximum volume is not square. For practical calculations of the optimal log diameters for the beam-cutting method, short formulas are obtained. When cutting saw logs with slabbing, the thickness of the beam corresponds to the width of edging boards of full length, which is determined according to the specification of sawn timber produced at the sawmill. The bulk of the sawlogs is used for the production of these thick boards, obtained from the sawed beam face. The area of a double-edged timber, limited by the size of the sawed face in the upper end, is a four-edged beam, from which the edged boards of the total length equal to the length of the log are produced. The desire to ensure the greatest efficiency when sawing out such boards of four-edged cant, inscribed in the circumference of the upper end of the log, is obvious. Then the coefficient of the board output from the saws should be maximum. By the methods of mathematical analysis the paper solves the problem of optimizing the diameter of logs and the relative dimensions of the beam in terms of thickness and width relative to the optimal diameter of the log, at which the coefficient of the volume yield of the four-cant timber reaches a maximum.


V.R. Fergin, Doctor of Engineering Sciences, Professor

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(Mytishchi, Russin Federation) е-mail:


sawmilling, saw logs, sawing process, four-edged cant, edged board, slabbing, relative log-scale factor

For citation

Fergin V.R. Development of the Sawing Process Theory. Lesnoy zhurnal [Forestry journal], 2018, no. 4, pp. 107–117. DOI: 10.17238/issn0536-1036.2018.4.107


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Received on January 17, 2018

Development of the Sawing Process Theory