. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 1847.] THE CIVIL ENGINEER AND ARCHITECTS JOURNAL. 97 STRAIN ON THE PLATFORM OF A SUSPENSION BRIDGE. In the following paper it is proposed to examine the nature and amount of the strain to which the platform of a suspension bridge is subjected, by its connection with the chain? and piers, and a load equally or unequally distributed throughout its length. We shall assume that the platform is rigid, the curve of the chain a catenary, the links indefinitely short compared with th
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 1847.] THE CIVIL ENGINEER AND ARCHITECTS JOURNAL. 97 STRAIN ON THE PLATFORM OF A SUSPENSION BRIDGE. In the following paper it is proposed to examine the nature and amount of the strain to which the platform of a suspension bridge is subjected, by its connection with the chain? and piers, and a load equally or unequally distributed throughout its length. We shall assume that the platform is rigid, the curve of the chain a catenary, the links indefinitely short compared with the length of the platform, and the rods indefinitely close to each other and Let O, the centre of the platform, be taken for origin; the axis of the platform, which we suppose horizontal, for axis of x; and a ver- tical through O, for the axis of y. Let dt he taken to represent the tension of the rod applied at point (x y) of the chain; T the ten- sion of the chain at that point; / the weight of a unit's length of chain,—then we shall have ds ds dx c But in the common catenary, dy j- = c' s, c' being an arbitrary oonstant; .'.t of a contruversial nature, and that this question of the struiu on the platform of a suapsosion bridge vras one of the most im- portant of them.] ON THE MOTION OF FLUIDS. The discrepancy between theory and experiment in all problems concerning the flow of water has been universally acknowledged. This extraordinary fact has hitherto been accounted for on the supposition of the imperlect character of the fluidity of that liquid ; whereas, as we shall pre^ieiitly show, it is not the water but the analysis—not na- ture but the philosophers who are at fault. In the present paper We shall point out some of the fundamental errors of analytical hydro- dynamics, and endeavour to show how theory and practice can be recon- ciled. Some time since, one of the most eminent of living mathema- ticians pointed out to us the incorrectness of certain anal
Size: 2333px × 1072px
Photo credit: © The Book Worm / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., boo, bookcentury1800, booksubjectarchitecture, booksubjectscience
