Advanced Structural Mechanics

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Cover -- Half Title -- Title -- Copyright -- Contents -- Preface -- Author -- 1 Plane frames -- 1.1 Introduction -- 1.2 Beam systems with axial symmetry -- 1.3 Beam systems with axial skew-symmetry -- 1.4 Beam systems with polar symmetry -- 1.5 Beam systems with polar skew-symmetry -- 1.6 Rotating-node frames -- 1.7 Translating-node frames -- 1.8 Thermal loads and imposed displacements -- 1.9 Frames with nonorthogonal beams -- 1.10 Frames loaded out of their own plane -- 2 Statically indeterminate beam systems: method of displacements -- 2.1 Introduction -- 2.2 Parallel-arranged bar systems -- 2.3 Parallel-arranged beam systems -- 2.4 Automatic computation of beam systems with multiple degrees of indeterminacy -- 2.5 Plane trusses -- 2.6 Plane frames -- 2.7 Plane grids -- 2.8 Space trusses and frames -- 3 Plates and shells -- 3.1 Introduction -- 3.2 Plates in flexure -- 3.3 Sophie Germain's equation -- 3.4 Shells with double curvature -- 3.5 Nonsymmetrically loaded shells of revolution -- 3.6 Symmetrically loaded shells of revolution -- 3.7 Membranes and thin shells of revolution -- 3.8 Circular plates -- 3.9 Cylindrical shells -- 3.10 Cylindrical pressurized vessels with bottoms -- 3.11 Three-dimensional bodies of revolution -- 4 Finite element method -- 4.1 Introduction -- 4.2 Single-degree-of-freedom system -- 4.3 Principle of minimum total potential energy -- 4.4 Ritz-Galerkin method -- 4.5 Application of the principle of virtual work -- 4.6 Kinematic boundary conditions -- 5 Dynamics of discrete systems -- 5.1 Introduction -- 5.2 Free vibrations -- 5.2.1 Undamped free vibrations (c = 0) -- 5.2.2 Damped free vibrations (c > 0) -- 5.3 Harmonic loading and resonance -- 5.3.1 Undamped systems -- 5.3.2 Systems with viscous damping -- 5.4 Periodic loading -- 5.5 Impulsive loading -- 5.6 General dynamic loading -- 5.7 Nonlinear elastic systems

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