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 232
will be equal to yd<i>, and the corresponding stress per unit area will be equal to/= , where E is the modulus of elasticity of the material, and ds is the original length of the fibre.If da is an element of area of the cross-section, the total moment of resistance of the beam is equal to… … Fig. 248. d<t> from which we have ,^ Mds and in Fig. 247 (6) (7) {b) Components of As motion, = Ay and Ax.—Let AEDCB, Fig. 249, representthe axis of the unstrained form of the beam, and AEDCB the strained form AB,Fig. 247. Now conceive the beam to pass into its strained form by the successive…
