Cloister vault

Cloister vault
Cloister-vault

A Cloister-vault, or domical vault, is a vault resulting from the intersection of two barrel-vaults crossing in a right angle.


Geometry

The intersection of the cloister vault with a horizontal plane is a square. This fact may be used to find the volume of the vault using the slicing method of Integral calculus. Finding the volume in this way is often an exercise for first-year calculus students.

Assuming the intersecting barrel-vaults are semi-cylindrical, the volume of the vault is \frac{1}{3}s^3 where s is the length of the side of the square base.

Examples



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Look at other dictionaries:

  • cloister vault — n. vault in a shape of a dome having a square base or a base shaped like a polygon from which curved sections move upward to a central point …   English contemporary dictionary

  • cloister vault — noun : a cupolalike vault on a square or polygonal base with diminishing courses to the top and of similar horizontal section throughout and in shape like a pyramid or frustum of a pyramid with sides curved convexly outward …   Useful english dictionary

  • Vault (architecture) — A Vault (French. voute, Italian. volta, German. Gewölbe, Polish. sklepienie , Spanish. bóveda ) is an architectural term for an arched form used to provide a space with a ceiling or roof. url=http://concise.britannica.com/ebc/article… …   Wikipedia

  • cloistered vault — a vault having the form of a number of intersecting coves. Also, cloister vault. Also called coved vault. * * * …   Universalium

  • cloistered vault — noun see cloistered arch * * * a vault having the form of a number of intersecting coves. Also, cloister vault. Also called coved vault …   Useful english dictionary

  • coved vault — noun : cloister vault …   Useful english dictionary

  • Fan vault — A fan vault is a form of vault used in the Perpendicular Gothic style, in which the ribs are all of the same curve and spaced equidistantly, in a manner resembling a fan. The initiation and propagation of this design element is strongly… …   Wikipedia

  • cloistervault — cloister vault n. A domelike vault having a square or polygonal base from which curved segments rise to a central point. Also called domical vault. * * * …   Universalium

  • Dome — For other uses, see Dome (disambiguation). Domal redirects here. For domal consonants , see Retroflex consonant. Dome of St. Peter s Basilica in Rome crowned by a cupola. Designed primarily by Michelangelo, the dome was not completed until 1590 A …   Wikipedia

  • List of architectural vaults — The following is a list of arched structures known in architecture as vaults.* Ambulatory vault – the covered portion of the covered passage around a cloister. Often written in the context of an ambulatory vault mosaic. * Annular vault – A Barrel …   Wikipedia

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