By T. M. Charlton
The awesome constructions of at the present time, corresponding to huge suspension bridges, are the results of clinical ideas validated through the new iron age of the 19th century. The e-book is worried with a close and significant account of the advance and alertness of these ideas (including statics and elasticity) by means of humans of exceptional expertise in utilized arithmetic and engineering. They have been, after all, in most cases influenced via the calls for of the railway, building growth. one of the impressive examples selected by way of the writer is Robert Stephenson's use of novel rules for the layout and erection of the Britannia tubular iron bridge over the Menai Straits. A historical past of the idea of buildings within the 19th Century is a uniquely finished account of a century of the improvement of the speculation; an account which skilfully blends the personalities and the good works and that is enlivened through little-known money owed of friendship and controversy.
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Additional info for A History of the Theory of Structures in the Nineteenth Century
10 characteristic points are known. Continuous beams present a more formidable problem and a graphical procedure by trial and error may be used. If two uniform adjacent spans are AB and BC (Fig. 36) where: AB = lx; BC = l2; and q1 and q2 refer to AB; and q3 and ^4 refer to BC. 37) /i(ft-*,) = - / . ( f t J when El is constant. 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 former included analysis of continuous beams of varying section and the error incurred if uniformity of section is assumed to simplify calculations. The latter represented a major contribution to the subject of beam theory in general. Bresse, Winkler, Mohr and Weyrauch 29 Mohr begins his third article (1868) with the following interesting commentary: Professor Culmann in his book Graphische Statik has set himself the task of using the new geometry for solving some problems in engineering, which are amenable to graphical treatment.
Brunei devised a novel numerical method of determining a thrust-line by elementary statics (Fig. 11), which Owen has described (Pugsley, 1976) Fig. 11. After Brunei (c. 1840). and which illustrates a leading practitioner's approach to arch theory. 1)] where y is the horizontal distance from the crown and the parameters A, B, C, D are determined by the values of W calculated for four chosen points within a half-span using the assumed shape of the arch. 3)] as the equation of the thrust-line. The constant of integration K is zero since x = 0 when y = 0.
A History of the Theory of Structures in the Nineteenth Century by T. M. Charlton