Engineering Mechanics

  1. Equilibrium of Rigid Bodies
    1. Conditions for Rigid-Body Equilibrium
      1. Force Equilibrium
        1. Sum of Forces Equals Zero
        2. Moment Equilibrium
          1. Sum of Moments Equals Zero
          2. 2D Equilibrium Conditions
            1. 3D Equilibrium Conditions
            2. Free-Body Diagrams for Rigid Bodies
              1. Body Isolation
                1. Force and Moment Identification
                  1. Support Reaction Representation
                    1. Construction Steps
                      1. Common Errors
                      2. 2D Equilibrium Analysis
                        1. Force Equilibrium Equations
                          1. Horizontal Force Balance
                            1. Vertical Force Balance
                            2. Moment Equilibrium Equation
                              1. Choice of Moment Center
                                1. Sign Conventions
                                2. Support Reactions
                                  1. Types of 2D Supports
                                    1. Roller Support
                                      1. Reaction Components
                                        1. Degrees of Freedom
                                        2. Pin Support
                                          1. Reaction Components
                                            1. Degrees of Freedom
                                            2. Fixed Support
                                              1. Reaction Components
                                                1. Degrees of Freedom
                                              2. Reaction Determination
                                              3. Special Cases
                                                1. Two-Force Members
                                                  1. Identification Criteria
                                                    1. Force Direction
                                                    2. Three-Force Members
                                                      1. Concurrent Force Principle
                                                        1. Analysis Methods
                                                    3. 3D Equilibrium Analysis
                                                      1. Force Equilibrium Equations
                                                        1. X-Direction Force Balance
                                                          1. Y-Direction Force Balance
                                                            1. Z-Direction Force Balance
                                                            2. Moment Equilibrium Equations
                                                              1. Moment About X-Axis
                                                                1. Moment About Y-Axis
                                                                  1. Moment About Z-Axis
                                                                  2. 3D Support Reactions
                                                                    1. Types of 3D Supports
                                                                      1. Ball and Socket
                                                                        1. Universal Joint
                                                                          1. Fixed Support
                                                                          2. Reaction Components
                                                                          3. Statical Determinacy
                                                                            1. Determinacy Conditions
                                                                              1. Statically Determinate Systems
                                                                                1. Statically Indeterminate Systems
                                                                                  1. Unstable Systems

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                                                                              3. Rigid Bodies: Equivalent Force Systems

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                                                                              5. Structural Analysis