This book offers a unified presentation of the concepts and most of the practicable principles common to all branches of solid and fluid should be appealing to advanced undergraduate mechanics. Its design students in engineering science and should also enhance the insight of both graduate students and practitioners. A profound knowledge of applied mechanics as understood in this book may help to cultivate the versatility that the engineering community must possess in this modern world of high-technology. This book is, in fact, a reviewed and extensively improved second edition, but it can also be regarded as the first edition in English, translated by the author himself from the original German version, "Technische Mechanik der festen und flOssigen Korper," published by Springer-Verlag, Wien, in 1985. Although this book grew out of lecture notes for a three­ semester course for advanced undergraduate students taught by the author and several colleagues during the past 20 years, it contains sufficient material for a subsequent two-semester graduate course. The only prerequisites are basic algebra and analysis as usually taught in the first year of an undergraduate engineering curriculum. Advanced mathematics as it is required in the progress of mechanics teaching may be taught in parallel classes, but also an introduction into the art of design should be offered at that stage.

Inhalt

1. Kinematics.- 1.1. Point Kinematics.- 1.1.1. Example: The Trajectory in a Homogeneous Gravity Field Above a "Flat Planet".- 1.1.2. Example: Guided Motion of a Point.- 1.1.3. The Natural Coordinates of the Trajectory.- 1.2. Kinematics of Rigid Bodies.- (§) Show ? to be a Free Vector.- (§) Reduction of Angular Velocity Vectors.- 1.2.1. Special Motions of a Rigid Body.- (§) Pure Translation.- (§) Rotation About a Fixed Point.- (§) Plane Motion of Rigid Bodies.- (§) Example: The Wheel in a Straight Rolling Motion.- (§) Acceleration.- 1.3. Kinematics of Deformable Bodies.- 1.3.1. Elongation and Shear.- 1.3.2. Dilatation and Strain Deviations.- 1.3.3. Streamlines and Streamtubes: Local and Convective Acceleration.- 1.3.4. Kinematic (Geometric) Boundary Conditions.- 1.4. Supplements to and Applications of Point and Rigid-Body Kinematics.- 1.4.1. The Velocity Diagram of Plane Motion.- 1.4.2. Kinematics of the Planetary Gear Train.- 1.4.3. The Universal Joint (after Kardan).- 1.4.4. Central Motion (The Kepler Problem): Polar Coordinates.- 1.5. Supplements to and Applications of Deformation Kinematics.- 1.5.1. The Uniaxial Homogeneous Deformation.- 1.5.2. The Natural Coordinates of the Streamline.- 1.5.3. The Strain Tensor. The Plane Strain State.- (§) The Tensor Property of the Strain Matrix.- (§) The Principal Axes Transformation, Mohr's Circle.- 1.6. Conservation of Mass: The Continuity Equation.- 1.6.1. Stationary Flow Through a Conical Pipe: Eulerian and Lagrangean Representations.- 1.7. Exercises A 1.1 to A 1.8 and Solutions.- 2. Statics, Systems of Forces, Hydrostatics.- 2.1. Forces, Body-Forces, Tractions, Stresses, Equilibrium.- 2.1.1. Stresses in a Tensile Rod: Mohr's Circle.- 2.1.2. Plane State of Stress: Mohr's Circle.- 2.1.3. General State of Stress.- 2.1.4. Mean Normal Stress and Stress Deviations.- 2.2. Systems of Forces.- 2.2.1. The Plane Force System: Computational and Graphic Reduction, Conditions of Equilibrium.- (§) Example: Support Reactions of an In-Plane Loaded Structure.- 2.2.2. Symmetry of the Stress Tensor.- 2.2.3. The Parallel Force System: Center of Forces, Center of Gravity (Centroids), Static Moments.- 2.3. Hydrostatics.- 2.3.1. Fluid Under Gravity.- (§) Incompressible Fluid.- (§) A Linear Compressive Spring.- (§) A Nonlinear Spring.- 2.3.2. Pressurized Fluids.- (§) Principle of the Hydraulic Pump.- (§) Vessels and Pipes.- 2.3.3. The Gravitational Hydrostatic Pressure in Open Containers.- (§) A Flat Horizontal Base of Area A.- (§) A Plane Retaining Wall of Area A.- (§) Circular Cylindrical Surface (Fig. 2.23).- (§) Hydrostatic Pressure on a Spherical Surface (Fig. 2.24).- (§) Hydrostatic Loading of a Doubly Curved Surface.- (§) Illustrative Example: Uplift.- 2.3.4. The Hydrostatic Buoyancy.- (§) The Upright Floating Cylinder: Stability (Fig. 2.26).- (§) Floating Cylinder with Horizontal Axis: Stability.- (§) Buoyancy.- 2.4 Moments of Inertia of a Plane Area A and Their Rules of Transformation.- (§) Moments of Inertia About Parallel Axes.- (§) Moments of Inertia About Rotated Axes (Mohr's Circle).- (§) The Ellipse of Inertia.- (§) Example: The Central Ellipse of a Rectangle, A= B × H.- 2.5. Statics of Simple Structures.- 2.5.1. Beams and Frames.- 2.5.1.1. Local Equilibrium of a Plane Arch and Plane Beam Element (Fig. 2.31).- 2.5.1.2. Straight Beams, Force and Funicular Polygon.- (§) The Cantilever Beam.- (§) The Hinged-Hinged Beam.- (§) Illustrative Example: Eccentrical Axial Force.- (§) The Graphic Solution by Means of the Force and Funicular Polygon.- (§) Continuous (Multispan) Beams.- 2.5.1.3. Influence Lines.- 2.5.1.4. Plane Frames and the Three-Hinged Arch.- 2.5.1.5. Two Statically Determinate Stress States.- (§) Bending Stresses in a Sandwich Cross-Section.- (§) Torsional Shear Stresses in a Thin-Walled Tube.- 2.5.2. Trusses.- 2.5.2.1.Planar Trusses.- 2.5.3. Statics of Flexible Cables (and Chains).- 2.6. Exercises A 2.1 to A 2.15 and Solutions.- 3. Mechanical Work, Power, Potential Energy.- 3.1. Work and Power of Single Forces and Couples.- 3.1.1. Example: The Work of Gravity Forces.- 3.1.2. Example: The Work of a Couple.- 3.2. Power Density, Stationary and lrrotational Forces, Potential Energy.- 3.3. Potential Energy of External Forces.- 3.3.1. Homogeneous and Parallel Gravity, Potential of the Dead Weight.- 3.3.2. Central Force Field with Point Symmetry.- 3.4. Potential Energy of Internal Forces.- 3.4.1. The Elastic Potential of the Hookean Solid (Linear Spring).- (§) Example: A Simple Truss.- 3.4.2. The Barotropic Fluid.- 3.5. Lagrangean Representation of the Work of Internal Forces, Kirchhoff's Stress Tensor.- 3.6. Exercises A 3.1 to A 3.2 and Solutions.- 4. Constitutive Equations.- 4.1. The Elastic Body, Hooke's Law of Linear Elasticity.- 4.1.1. The Linear Elastic Body, Hooke's Law.- (§) The Bending Test.- (§) The Torsional Test.- 4.1.2. A Note on Anisotropy.- (§) Plane Stress State.- (§) Transverse Isotropy Lateral to the X Axis.- 4.1.3. A Note on Nonlinearity.- 4.2. The Visco-Elastic Body.- 4.2.1. Newtonian Fluid.- (§) Illustrative Example.- (§) The One-Dimensional Viscous Model.- 4.2.2. Linear Visco-Elasticity.- (§) The Kelvin-Voigt Body.- (§) Maxwell Fluid.- (§) The Multiple-Parameter Linear Visco-Elastic Body.- (§) General Linear Viscoelasticity.- 4.2.3. A Nonlinear Visco-Elastic Material.- (§) Example: The Creep Collapse of a Tensile Rod.- 4.3. The Plastic Body.- 4.3.1. The Rigid-Plastic Body.- 4.3.2. The Elastic-Plastic Body.- 4.3.3. The Visco-Plastic Body.- 4.4. Exercise A 4.1 and Solution.- 5. Principle of Virtual Work.- 5.1. Example: The Three-Hinged Arch.- 5.2. Influence Lines of Statically Determinate Structures.- 5.3. Conservative Mechanical Systems.- 5.3.1. Differential Equation of the Deflection of a Linear Elastic Beam.- 5.3.2. The von Karman Plate Equations.- 5.4. Principle of Complementary Virtual Work.- 5.4.1. Castigliano's Theorem and Menabrea's Theorem.- (§) The Linear Elastic, Thin, and Straight Rod.- (§) A Plane Truss with a Single Internal Static Indeterminacy (Fig. 5.7).- (§) A Double-Span Beam Loaded According to Fig. 5.9.- (§) Deflection of a Uniformly Loaded Cantilever.- (§) The Plane Snap Under the Action of Tip Forces.- 5.4.2. Betti's Method.- (§) Thin-Walled Structures Free of Any Torsion..- (§) The Cantilever of Fig. 5.11.- (§) The Cantilever with an Additional Simple Support, Fig. 5.13.- 5.4.3. Transformation of the Principles of Minimum Potential and Complementary Energy.- 5.5. Exercises A 5.1 to A 5.4 and Solutions.- 6. Selected Topics of Elastostatics.- 6.1. Continuum Theory of Linearize…