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    الثلاثاء، 2 أغسطس، 2016

    ANALYSIS OF STRUCTURAL MEMBER SYSTEMS


    ANALYSIS OF STRUCTURAL MEMBER SYSTEMS

    With the development over the past decade of computer-based analysis
    methods, the teaching of structural analysis subjects has been revolutionized.
    The traditional division between structural analysis and structural mechanics
    became no longer necessary, and instead of teaching a preponderance of solution
    details it is now possible to focus on the underlying theory.
    What has been done here is to integrate analysis and mechanics in a systematic
    presentation which includes the mechanics of a member, the matrix
    formulation of the equations for a system of members, and solution techniques.
    The three fundamental steps in formulating a problem in solid mechanics—.
    enforcing equilibrium, relating deformations and displacements, and relating
    forces and deformations—form the basis of the development, and the central
    theme is to establish the equations for each step and then discuss how the complete
    set of equations is solved. In this way, a reader obtains a more unified
    view of a problem, sees more clearly where the various simplifying assumptions
    are introduced, and is better prepared to extend the theory.
    The chapters of Part I contain the relevant topics for an essential background
    in linear algebra, differential and matrix transformations.
    Collecting this material in the first part of the book is convenient for the continuity
    of the mathematics presentation as well as for the continuity in the
    following development.

    Part II treats the analysis of an ideal truss. The governing equations for
    small strain but arbitrary displacement are established and then cast into
    matrix form. Next, we deduce the principles of virtual displacements and
    virtual forces by manipulating the governing equations, introduce a criterion
    for evaluating the stability of an equilibrium position, and interpret the governing
    equations as stationary requirements for certain variational principles.
    These concepts are essential for an appreciation of the solution schemes described
    in the following two chapters.
    Part III is concerned with the behavior of an isolated member

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