2006
DOI: 10.1007/s00004-006-0015-9
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As Hangs the Flexible Line: Equilibrium of Masonry Arches

Abstract: Abstract. In 1675, English scientist Robert Hooke discovered "the true… …manner of arches for building," which he summarized with a single phrase: "As hangs the flexible line, so but inverted will stand the rigid arch." In the centuries that followed, Hooke's simple idea has been used to understand and design numerous important works. Recent research at MIT on the interactive analysis of structural forces provides new graphical tools for the understanding of arch behavior, which are useful for relating the for… Show more

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Cited by 126 publications
(23 citation statements)
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“…The two main approaches for the structural analysis of arches and vaulted structures are: (a) the ultimate stability analysis-also reported as limit stability/equilibrium analysis, rigid-plastic analysis, or thrust line method (Heyman 1966;Smith et al 1990;Harvey 1991;Huerta 2001;Boothby 2001;Block et al 2006;Gilbert 2007;Roca et al 2010; among others) and (b) a stress analysis of the structure. For historic masonry structures in general and more specifically for those constructed from massive bearing stones, the thrust line method is the choice because compressive stresses are an order of magnitude smaller than the failure stress of the masonry and the issue of stability prevails.…”
Section: Background On the Structural Analysis Of Masonry Arches And mentioning
confidence: 99%
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“…The two main approaches for the structural analysis of arches and vaulted structures are: (a) the ultimate stability analysis-also reported as limit stability/equilibrium analysis, rigid-plastic analysis, or thrust line method (Heyman 1966;Smith et al 1990;Harvey 1991;Huerta 2001;Boothby 2001;Block et al 2006;Gilbert 2007;Roca et al 2010; among others) and (b) a stress analysis of the structure. For historic masonry structures in general and more specifically for those constructed from massive bearing stones, the thrust line method is the choice because compressive stresses are an order of magnitude smaller than the failure stress of the masonry and the issue of stability prevails.…”
Section: Background On the Structural Analysis Of Masonry Arches And mentioning
confidence: 99%
“…Heyman (1966) was apparently the first who proposed that the limit equilibrium analysis, which derives from the plastic theory of metal structures, may also be applied for the analysis of stone and masonry structures such as masonry arches and vaults provided that three basic assumptions are introduced (see also Boothby 2001;Block et al 2006;Gilbert 2007;Roca et al 2010):…”
Section: Limit Equilibrium Analysis-the Thrust Line Approachmentioning
confidence: 99%
“…The theoretical framework for the assessment of masonry structures is currently well developed, according to the principles of limit analysis defined by Heyman [15] and developed by many authors such as Huerta [16] and Block et al [17]. Those structures are subjected to compression, being far from its mechanical limits, even in the largest buildings.…”
Section: The Basilica Floor Plan Churches Of Aran Valleymentioning
confidence: 99%
“…Meaning: "As hangs the flexible line, so but inverted will stand the rigid arch" [3]. Thus the hanging chain and the masonry arch constitute essentially the same static problem.…”
Section: Thrust Linementioning
confidence: 99%