Mechanics of Solids, 2nd Edition

CHAPTER 10

Beam Deflection—Moment Area Method

10.1 Slope and Deflection from Bending Moment Diagram

Assume a beam AB is loaded by arbitrary loading. The support of beam can be either fixed, simple or combination. The beam is not shown but its elastic curve is depicted in Fig. 10.1 (a). The B.M. diagram of the beam is shown in Fig. 10.1 (b). However, as it will appear necessary later, the B.M. diagram is divided by EI at every section and what is shown in Fig. 10.1 (b) should be regarded as If EI is a constant then the shapes of BM and diagrams ...