Solid Mechanics

Solid mechanics is a fundamental branch of mechanical engineering that studies the behavior of solid materials, particularly their motion and deformation under the action of forces. It involves the analysis of stress (the internal forces within a material) and strain (the resulting deformation) to predict how structures and machine components will respond to various loads. This knowledge is essential for designing safe, reliable, and efficient components, from microscopic devices to massive structures like bridges and pressure vessels, ensuring they can withstand operational forces without failing or excessively deforming.

1. Introduction to Solid Mechanics
   1. Scope and Applications
      1. Civil Engineering Structures
      2. Mechanical Engineering Components
      3. Aerospace Applications
      4. Materials Science Applications
      5. Biomedical Engineering
   2. Historical Development
      1. Classical Mechanics Foundations
      2. Evolution of Solid Mechanics Theory
      3. Modern Computational Methods
   3. Core Concepts and Assumptions
      1. Continuum Assumption
         1. Definition and Physical Meaning
         2. Scale Considerations
         3. Limitations and Breakdown Conditions
      2. Material Homogeneity
         1. Homogeneous Materials
         2. Statistical Homogeneity
      3. Material Isotropy
         1. Isotropic Materials
         2. Anisotropic Materials
         3. Orthotropic Materials
      4. Deformable Body Concept
         1. Rigid Body Mechanics vs Deformable Body
         2. Types of Deformation
         3. Geometric Nonlinearity
   4. Fundamental Principles
      1. Newton's Laws in Solid Mechanics
         1. First Law and Equilibrium
         2. Second Law and Dynamic Loading
         3. Third Law and Internal Forces
      2. Equilibrium Principles
         1. Static Equilibrium Conditions
         2. Force Equilibrium
         3. Moment Equilibrium
      3. Free Body Diagrams
         1. Construction Principles
         2. Force Identification
         3. Moment Identification
         4. Support Reactions
   5. Units and Dimensional Analysis
      1. SI Unit System
         1. Base Units
         2. Derived Units for Mechanics
      2. US Customary Units
         1. Base Units
         2. Common Engineering Units
      3. Unit Conversions
      4. Dimensional Analysis Principles