By Edoardo Benvenuto
This e-book is among the best i've got ever learn. to put in writing a foreword for· it really is an honor, tough to just accept. we all know that architects and grasp masons, lengthy earlier than there have been mathematical theories, erected buildings of miraculous originality, energy, and sweetness. a lot of those nonetheless stand. have been it no longer for our now acid surroundings, shall we count on them to face for hundreds of years extra. We appreciate early architects' noticeable luck within the distribution and stability of thrusts, and we presume that grasp masons had principles, probably held mystery, that enabled them to show architects' daring designs into fact. we all know that rational theories of energy and elasticity, created centuries later, have been inspired by way of the wondrous constructions that males of the 16th, 17th, and eighteenth centuries observed day-by-day. Theorists be aware of that after, eventually, theories began appearing, architects distrusted them, in part simply because they typically ignored information of value in genuine building, partially simply because not anyone yet a mathematician may comprehend the purpose and func tion of a mathematical conception designed to symbolize a side of nature. This booklet is the 1st to teach how statics, energy of fabrics, and elasticity grew along latest structure with its millenial traditions, its host of successes, its ever-renewing types, and its a number of difficulties of upkeep and service. In reference to stories towards fix of the dome of St. Peter's by means of Poleni in 1743, on p.
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Additional resources for An Introduction to the History of Structural Mechanics: Part II: Vaulted Structures and Elastic Systems
1 . Model made with threads and silk-pap r linen t hat Gaudi contructed for defining the form of his chapel of Santa Coloma. The constant P can be determined if we assign a corresponding ordinate to a given abscissa. If, for example, we wish y = Yo to be valid for x = Xo, defining P = xS/p, we find p Yo p3 p5 p7 = '6 + 336x o2 + 42240x 04 + 9676800x06 + .... 8572' xo and therefore P. xo Y6 + ... 6226" xo 348 10. First Theories about the Statics of Arches and Domes Note that Bouguer's figure guarantees equilibrium not only when the dome is entirely closed, but also when it has openings.
The entry for June 5, 1675, mentions 'my principle about arches', and on September 26, 'Riddle of arch, of pendet continuum flexile, sic stabit grund Rigidum'. " See Truesdell, Rational Mechanics, p. 57. B. concinnatae et collectae ab anna 1677, Basle University Library, ms. Ia 3. The reworked version can be found in Jakob Bernoulli, "Varia posthuma," Opera, Vol. 2 (1744) pp. 1119-1123. 330 10. •, I \ II •\ .... " ... 5. James Bernoulli's figure for calculating the curvature of an arch whose parts support each other without using mortar (1704).
86. , p. 99. 5. 13. 341 342 10. " For church vaults "of uniform thickness," the author advises following the well-known rule taken from funicular equilibrium, warning builders to vary the weights acting on the rope in case the load on the vault should not be uniform. At the end of the work, Couplet faces the problem of the centerings, which H. Pitot had discussed (wrongly) in 1726. We shall return to this question later, in discussing Leonardo Salimbeni's treatise. Couplet concludes, correctly if there are many voussoirs, that "the voussoirs that weigh on the centering are placed within 60 degrees [from the key], and those which do not weigh on it [are placed within] 30 degrees from the horizontaL"27 Couplet's second memoir faces the problem of the adherence between voussoirS.