The theory and practice of modern framed structures : designed for the use of schools, and for engineers in professional practice (1897)
Johnson, J. B. (John Butler), 1850-1902, Bryan, C. W. (Charles Walter), 1863-1927, Turneaure, Frederick Eugene, 1886- · New York : J. Wiley & Sons · leaf 233
s u, thepoint moving to A through a distance dv, having the components dy and dx. Then from 208 MODERN FRAMED STRUCTURES. the bending of DC the point A moves to A\ etc.point C, we have, by sinmilar triangles, If X and y are the co-ordinates of any dy _xdv II . dx y and — = -.av u Solving for dy and… … Fig, 250. {c) Application of eqs. (7), (8), and (9).—To make clear the application of the above equa-tions, let us take the case of a two-hinged arch ACB, Fig. 250, supporting the loads P^, P^, etc. The full line ACB represents the posi-tion of the arch when under no load, and thedotted line ACB…
