An Introduction to the History of Structural Mechanics: Part by Edoardo Benvenuto

By Edoardo Benvenuto

This ebook is among the best i've got ever learn. to put in writing a foreword for· it's an honor, tricky to simply accept. we all know that architects and grasp masons, lengthy earlier than there have been mathematical theories, erected buildings of wonderful originality, energy, and wonder. lots of those nonetheless stand. have been it now not for our now acid surroundings, lets count on them to face for hundreds of years extra. We appreciate early architects' noticeable good fortune 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 motivated via the wondrous structures that males of the 16th, 17th, and eighteenth centuries observed day-by-day. Theorists understand that once, eventually, theories started to appear, architects distrusted them, in part simply because they generally passed over info of significance in real building, partially simply because no one yet a mathematician may perhaps comprehend the purpose and func­ tion of a mathematical idea designed to symbolize a facet of nature. This publication is the 1st to teach how statics, power of fabrics, and elasticity grew along present structure with its millenial traditions, its host of successes, its ever-renewing kinds, and its quite a few difficulties of upkeep and service. In reference to stories towards fix of the dome of St. Peter's via 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

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2 The Case of S. Maria del Fiore in Florence Long before the crisis in question, scientists had been asked to provide opinions on works of architecture and engineering. In Tuscany, for example, Vincenzo Viviani had supervised the "direction of rivers" for thirty years and had advised on construction of bridges. Torricelli was consulted when a bridge at Pisa collapsed during construction. He disapproved of its plan;. it was the "work of too bold an architect," he wrote in one of his 350 11. Architectonic Debates letters'!

But more likely the dispute with Gregory is a sideshow in the larger, sharper battle with Newton over the infinitesimal calculus. Gregory felt obliged to respond, which he did by publishing a short note in the Philosophical Transactions of December 1699. Certainly, he admits, his demonstration of the catenary, based on Newton's method, is out of date; it comes six years after the ones presented by the "Men of Learning" of Leipzig. But why not recognize the novelty of applying the catenary to the statics of arches?

De la Hire returned to the problem in his memoir, seventeen years later. Proposition 125 strongly resembles proposition 123; the materials have changed, but the results are closely analogous. Masonry, unlike beams, can be seen as a system of rigid blocks, Euclidean solids endowed with mass. De la Hire's model, like Galileo's for resistance, is incomplete, but the element which de la Hire neglects is not deformation but friction. The introduction of this element and the improvement of de la Hire's model had to wait until Coulomb's work at the end of the next century.

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