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 242
nsideration, the reactions may be found by a similar approxi-mation to that explained in Art. 191. 197. Temperature Stresses.—For an arch with fixed ends, the H/s necessary to resista lengthening of the span due to a rise oftemperature are not applied at A and £, butat some distance orj/, above,… … \h X i -^X3 yjii Hly-h\ /2C y^lCydx — jf hdx — o. From eq. {d) of Art. 194 we have (41) C ydx = rc, and we have aLo hdx — 2ch; hence substituting in (41) and solving for h, we have ^ = f a constant. (42) 2l8 MODERN FRAMED STRUCTURES. Now the lengthening of the span due to a rise of temperature of t…