miter

40 mm birch multiplex top with 90 ° angle and 45 ° miter

As miter one of two designated the corner joint in an angle of clashing of elongate plant parts. In most cases, the miter is the bisector of the angle at which the parts are fixed. As a result, both cut surfaces fit together exactly, which results in a stepless transition between the pieces, especially with profile strips. If, for example, two strips of a picture frame are arranged at an angle of 90 °, the miter is formed by a 45 ° cut at the ends of the strips.

The advantage of this connection technology is that the contact or connection surfaces are enlarged, which increases the stability of the connection between the two workpieces. In addition, the butt joint of both parts of the work falls on an edge and is less noticeable.

A miter set makes it easier to mark a 45 ° miter , a miter saw makes it easier to keep the correct angle. Miter clamps fix the angle during gluing.

Incorrect miter

"Wrong miter"

If two workpieces with an unequal thickness or width d are to be joined together by a miter, a so-called "false miter" occurs. This is characterized in that the two resulting angles are of different sizes. This comes e.g. B. in architectural model making, when a corner connection between two unequally thick walls is to be built.

If , then applies to the angle of the thinner workpiece: ${\ displaystyle d_ {1} <d_ {2}}$ ${\ displaystyle \ alpha _ {1}}$

{\ displaystyle \ alpha _ {1} = \ arctan \ left ({\ frac {d_ {1}} {d_ {2}}} \ right)}

and accordingly for the thicker piece:

{\ displaystyle \ alpha _ {2} = \ arctan \ left ({\ frac {d_ {2}} {d_ {1}}} \ right)}

.

To see arctangent . ${\ displaystyle \ arctan}$

Octagon

The “ octagon” was used to describe a miter measure that was used to prepare wooden parts for a regular octagon . The miter angles were 112 ½ ° for the larger and 67 ½ ° for the smaller angle. The usual miter was 45 ° and 135 °.

literature

Heinrich August Pierer : Pierer's Universal Lexicon of the Past and Present or the latest encyclopedic dictionary of the sciences, arts and crafts. Volume 19, HA Pierer, Altenburg 1865, p. 268.

Individual evidence

^ Karl Karmarsch: Manual of mechanical technology. Volume 1, Helwing, Hannover 1857, p. 671.

Web links

Wiktionary: Miter - explanations of meanings, word origins, synonyms, translations

[1] Karl Karmarsch: Manual of mechanical technology. Volume 1, Helwing, Hannover 1857, p. 671.