Solid Mechanics

  1. Deflection Analysis
    1. Elastic Curve Theory
      1. Moment-Curvature Relationship
        1. Differential Equation of Elastic Curve
          1. Boundary Conditions
            1. Sign Conventions
            2. Integration Methods
              1. Double Integration Method
                1. Moment-Area Method
                  1. First Moment-Area Theorem
                    1. Second Moment-Area Theorem
                    2. Conjugate Beam Method
                    3. Discontinuity Functions
                      1. Macaulay's Method
                        1. Step Functions
                          1. Applications to Complex Loading
                          2. Superposition Method
                            1. Standard Beam Cases
                              1. Combining Multiple Loads
                                1. Tabulated Solutions
                                2. Energy Methods
                                  1. Castigliano's First Theorem
                                    1. Virtual Work Method
                                      1. Unit Load Method
                                      2. Statically Indeterminate Beams
                                        1. Compatibility Equations
                                          1. Force Method
                                            1. Displacement Method
                                              1. Continuous Beams

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                                            11. Beam and Shaft Design

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                                            13. Column Stability and Buckling