Solid Mechanics

  1. Stress Analysis
    1. Concept of Stress
      1. Definition at a Point
        1. Force per Unit Area Interpretation
          1. Stress Vector Concept
            1. Cauchy Stress Principle
            2. Types of Stress
              1. Normal Stress
                1. Tensile Stress
                  1. Compressive Stress
                    1. Sign Conventions
                    2. Shear Stress
                      1. Definition and Physical Meaning
                        1. Complementary Shear Stress
                          1. Sign Conventions
                          2. Bearing Stress
                            1. Contact Stress Concept
                              1. Applications in Connections
                            2. Stress on Inclined Planes
                              1. Axial Loading Cases
                                1. Stress Transformation Equations
                                  1. Maximum and Minimum Normal Stress
                                    1. Maximum Shear Stress
                                    2. General State of Stress
                                      1. Three-Dimensional Stress State
                                        1. Stress Tensor Representation
                                          1. Matrix Form
                                            1. Tensor Notation
                                              1. Symmetry Properties
                                              2. Stress Components
                                                1. Normal Stress Components
                                                  1. Shear Stress Components
                                                    1. Component Relationships
                                                  2. Design Considerations
                                                    1. Allowable Stress Concept
                                                      1. Factor of Safety
                                                        1. Definition and Calculation
                                                          1. Selection Criteria
                                                          2. Design Philosophy
                                                            1. Allowable Stress Design
                                                              1. Ultimate Strength Design

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                                                          1. Introduction to Solid Mechanics

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                                                          3. Strain Analysis