Miter joint

Miter joint
Miter joint (pieces ready to be joined)
Miter joint of two pipes

A miter joint (mitre in British English), sometimes shortened to miter, is a joint made by bevelling each of two parts to be joined, usually at a 45° angle, to form a corner, usually a 90° angle.[1] A disadvantage of a miter joint is its weakness, but it can be strengthened with a spline.[2]

Common applications include picture frames, pipes (e.g. pipe organs), and molding.

Contents

Non-perpendicular joints

For miter joints occurring at angles other than 90°, for materials of the same cross-section the proper cut angle must be determined so that the two pieces to be joined meet flush (i.e. one piece's mitered end is not longer than the adjoining piece). To find the cut angle divide the angle at which the two pieces meet by two. Technically two different cut angles are required; one for each piece, where the second angle is 90° plus the aforementioned cut angle, but due to angular limitations in common cutting implements (hand circular saws, table saws) a single angle is required and is used to cut the first piece in one direction and the second piece in the opposite direction.

3D joints

When a piece is beveled at both ends, such that the two attached pieces do not lie in the same plane, a three-dimensional structure is obtained. In that case, it is also necessary to either rotate the piece along its longitudinal axis or to tilt the saw blade before beveling the second end.

When employing the miter joint to connect two pieces that have a non-circular cross-section it is typically desirable to have the longitudinal edges of the joined pieces match up properly at the joint. It is always possible to close a planar structure constructed with pieces having non-circular cross section into a loop through properly matched miter joints (e.g. a picture frame). However, a three-dimensional loop from pieces with non-circular cross section need not close properly when attempting to miter it all the way round. In general, a twist occurs, causing the edges at the last joint to be misaligned.

See also

References

  1. ^ Oxford English Dictionary. Oxford University Press. 2009. "A usually right-angled joint in wood or other material in which the angle made by the joined pieces is bisected by the line or plane of junction; more fully mitre joint." 
  2. ^ http://www.woodworkingtips.com/etips/etip010511sn.html

External links

  • Miter Saw Calculator
  • Verhoeff, Tom and Koos Verhoeff, [1] "The Mathematics of Mitering and Its Artful Application", Bridges Leeuwarden: Mathematical Connections in Art, Music, and Science, Proceedings of the Eleventh Annual Bridges Conference, in The Netherlands, pp. 225–234, July 2008.

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Look at other dictionaries:

  • Miter joint — Miter Mi ter, Mitre Mi tre, n. [F. mitre, fr. L. mitra headband, turban, Gr. ?.] 1. A covering for the head, worn on solemn occasions by bishops and other church dignitaries. It has been made in many forms, the present form being a lofty cap with …   The Collaborative International Dictionary of English

  • Miter joint — Joint Joint (joint), n. [F. joint, fr. joindre, p. p. joint. See {Join}.] [1913 Webster] 1. The place or part where two things or parts are joined or united; the union of two or more smooth or even surfaces admitting of a close fitting or… …   The Collaborative International Dictionary of English

  • miter joint — noun joint that forms a corner; usually both sides are bevelled at a 45 degree angle to form a 90 degree corner • Syn: ↑mitre joint, ↑miter, ↑mitre • Derivationally related forms: ↑miter (for: ↑miter) …   Useful english dictionary

  • miter joint — a joint, esp. a butt joint, between two pieces of wood or the like, meeting at an angle in which each of the butting surfaces is cut to an angle equal to half the angle of junction. [1680 90] * * * …   Universalium

  • miter joint — noun A joint between two members at an angle to each other; each member is cut at an angle equal to half the angle of the junction and usually joint at right angles to each other …   Wiktionary

  • miter joint — mi′ter joint n. bui a joint between two pieces of wood or the like, meeting at an angle in which each of the butting surfaces is cut to an angle equal to half the angle of junction • Etymology: 1680–90 …   From formal English to slang

  • miter joint — noun Date: 1688 a usually perpendicular joint made by fastening together parts with the ends cut at an angle …   New Collegiate Dictionary

  • Miter — Mi ter, Mitre Mi tre, n. [F. mitre, fr. L. mitra headband, turban, Gr. ?.] 1. A covering for the head, worn on solemn occasions by bishops and other church dignitaries. It has been made in many forms, the present form being a lofty cap with two… …   The Collaborative International Dictionary of English

  • Miter box — Miter Mi ter, Mitre Mi tre, n. [F. mitre, fr. L. mitra headband, turban, Gr. ?.] 1. A covering for the head, worn on solemn occasions by bishops and other church dignitaries. It has been made in many forms, the present form being a lofty cap with …   The Collaborative International Dictionary of English

  • Miter dovetail — Miter Mi ter, Mitre Mi tre, n. [F. mitre, fr. L. mitra headband, turban, Gr. ?.] 1. A covering for the head, worn on solemn occasions by bishops and other church dignitaries. It has been made in many forms, the present form being a lofty cap with …   The Collaborative International Dictionary of English

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