Gross D., Hauger W., Schröder J., Wall W.A., Bonet J. Engineering Mechanics 2: Mechanics of Materials

Springer, 2011. 320 p. OCR.Mechanics of Materials is the second volume of a three-volume textbook on Engineering Mechanics. Volume 1 deals with Statics while Volume 3 contains Dynamics. The original German version of this series has been the bestselling textbook on mechanics for more than two decades; its 11th edition is currently being published.
It is our intention to present to engineering students the basic concepts and principles of mechanics in the clearest and simplest form possible. A major objective of this book is to help the students to develop problem solving skills in a systematic manner.
In the present text we will restrict ourselves to the statics of elastic structures. We will always assume that the deformations and thus the strains are very small. This assumption is satisfied in many technically important problems. It has the advantage that the equilibrium conditions can be formulated using the undeformed geometry of the system. In addition, the kinematic relations have a simple form in this case. Only in stability problems (see Chapter7, Buckling) the equilibrium conditions must be formulated in the deformed geometry.
The solution of problems is based on three different types of equations: a) equilibrium conditions, b) kinematic relations and c) constitutive equations. In the case of a statically determinate system, these equations are uncoupled. The stress resultants and the stresses can be calculated directly from the equilibrium conditions. The strains follow subsequently from Hooke’s law and the deformations are obtained from the kinematic relations.