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This book will examine structural mechanics from a fundamental point of view, and allow students to use logical inference and creative reasoning to solve problems versus rote memorization, which is what most textbooks in the field currently offer. It will present theory and also emphasize the relevant mathematical concepts as related to structural mechanics in each chapter. It will include problems, examples, and case studies throughout, and present simulation technique employed in structural engineering software. It will explain the Finite Element Method for elastic bodies, trusses, frames, and more, and present other modern methods of structural analysis.
- Presents the material from the general (theory and fundamentals) to the particular (specific applications).
- Emphasizes the relevant mathematical concepts as related to structural mechanics in each chapter.
- Presents analysis of ductile structures and modern methods in analysis of stability and dynamics.
- Explains the Finite Element Method for elastic bodies, trusses, frames, and more.
- Includes numerous worked examples and case studies throughout.
Kinematic Analysis Basics in Structural Mechanics. Movable Loads on a Beam. Theoretical Basics of Calculations via Influence Lines. Arches: General Info and Diagrams of Stresses. Three-Hinged Arches under Live Static Load. Hinged Beams. Preliminaries for Trusses. Internal Forces in Statically Determinate Trusses. Influence Lines for Stresses in Trusses. Space Statically Determinate Trusses. Energy Approach Foundations of Displacement Analysis for Elastic Systems. Constraint Reactions in Elastic Systems. Theoretical Basics of Force Method. Simplification Ways of Statically Indeterminate System Analysis. Force Method in Case of Temperature Exertion and Displacements of Supports. Force Method for Construction of Influence Lines and Space System Analysis. General Info about Displacement Method. Displacement Method in Applications. Basic Concepts and Plastic Analysis of Beams. Plastic Analysis of Trusses and Frames. Finite Element Method Exemplified in Elastic Plane Body. FEM in Bar System Analysis. FEM in the Case of Material Nonlinearity. Theoretical Basics of Structural Stability Investigations. Methods of Structural Stability Analysis. Investigation of Frame Buckling Using Displacement Method. Free Vibrations of Systems with One Degree of Freedom. Dynamic Factor and Problem of Deducing the Eigen Frequencies. Forced Vibrations of Systems with Finite Number of DOFs. Problems and Design Tasks. Laboratory-Based Works. Bibliography. Index.