Solid Mechanics

  1. Column Stability and Buckling
    1. Stability Concepts
      1. Stable vs Unstable Equilibrium
        1. Critical Load Definition
          1. Buckling vs Material Failure
          2. Euler Buckling Theory
            1. Pin-Ended Column Derivation
              1. Critical Load Formula
                1. Assumptions and Limitations
                2. Effect of End Conditions
                  1. Fixed-Fixed Columns
                    1. Fixed-Pinned Columns
                      1. Fixed-Free Columns
                        1. Effective Length Concept
                          1. End Fixity Factors
                          2. Slenderness Ratio
                            1. Definition and Significance
                              1. Radius of Gyration
                                1. Long vs Short Columns
                                2. Eccentric Loading
                                  1. Secant Formula
                                    1. Interaction Curves
                                      1. Design Applications
                                      2. Inelastic Buckling
                                        1. Tangent Modulus Theory
                                          1. Reduced Modulus Theory
                                            1. Transition from Elastic to Inelastic
                                            2. Design of Columns
                                              1. Column Formulas
                                                1. Safety Factors
                                                  1. Practical Design Considerations

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                                                12. Deflection Analysis

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                                                14. Energy Methods in Mechanics