By T. M. Charlton
The wonderful constructions of this present day, reminiscent of huge suspension bridges, are the results of clinical rules proven in the course of the new iron age of the 19th century. The ebook is worried with a close and demanding account of the advance and alertness of these rules (including statics and elasticity) by means of humans of exceptional expertise in utilized arithmetic and engineering. They have been, in fact, more often than not stimulated by means of the calls for of the railway, development growth. one of the striking examples selected by way of the writer is Robert Stephenson's use of novel ideas for the layout and erection of the Britannia tubular iron bridge over the Menai Straits. A heritage of the speculation of constructions within the 19th Century is a uniquely complete account of a century of the advance of the speculation; an account which skilfully blends the personalities and the good works and that is enlivened by way of little-known bills of friendship and controversy.
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Additional resources for A History of the Theory of Structures in the Nineteenth Century
Mohr also introduces the concept of elastic weights in the same article (a concept used implicitly by Culmann (1866), with reference to elastic arches), whereby deflexions of beams may be calculated by means of quasi-bending moments caused by distributed loading of intensity numerically equal to M/EI, where M is the bending moment caused by the actual loading of the beam (Fig. 8). A comprehensive treatment of the theory of continuous beams is given 30 Beam systems \ Bending moment diagram due to q Fig.
If now, as shown in Fig. 10(6), a straight line is drawn joining the characteristic points R2 and R3 and if R2J = R3K (where K is chosen on* that basis), then by using the result derived above it may be shown that a straight line joining the points Q2 and QB passes through K which is therefore known as the 'intersection point'. The graphical process consists essentially of finding the bending moments &tA,B and C, which meet this Graphical method: Fidler and Muller-Breslau 33 condition as being the statically-indeterminate quantities required of the solution.
Clapeyron proceeded to describe briefly the results of a study of the Clapeyron's method, 1848-1857 25 Britannia ('Meny') Bridge by Molinos & Pronnier 'in which they have found that the iron bears a stress in the centre of the first span, of approximately 300 kg per square cm; over an outer pier, of 900 kg per square cm; at the centre of the second span, 550 kg per square cm; and 860 kg per square cm over the central pier'. ' The remainder of the discourse was devoted to a demonstration of the use of his equation for a beam of seven equal spans and means of solving the resulting simultaneous equations.
A History of the Theory of Structures in the Nineteenth Century by T. M. Charlton