Engineering Mechanics

  1. Rigid Bodies: Equivalent Force Systems
    1. External and Internal Forces
      1. External Forces
        1. Applied Loads
          1. Support Reactions
          2. Internal Forces
            1. Stress Resultants
              1. Member Forces
              2. Force Classification
              3. Principle of Transmissibility
                1. Statement of Principle
                  1. Application to Rigid Bodies
                    1. Limitations and Assumptions
                    2. Moment of a Force
                      1. Definition and Physical Meaning
                        1. Moment Arm Concept
                          1. Scalar Formulation in 2D
                            1. Perpendicular Distance Method
                              1. Sign Conventions
                              2. Vector Formulation in 3D
                                1. Cross Product Method
                                  1. Position Vector Approach
                                  2. Varignon's Theorem
                                    1. Theorem Statement
                                      1. Proof and Applications
                                        1. Component Method
                                      2. Moment of a Couple
                                        1. Definition of Couple
                                          1. Properties of Couples
                                            1. Independence of Position
                                              1. Vector Nature
                                              2. Calculation Methods
                                                1. Addition of Couples
                                                2. Force and Couple System Simplification
                                                  1. Reduction to Single Force and Couple
                                                    1. Resultant Force Calculation
                                                      1. Resultant Couple Calculation
                                                      2. Further Reduction Possibilities
                                                        1. Single Force Cases
                                                          1. Wrench Reduction
                                                            1. Definition of Wrench
                                                              1. Screw Axis
                                                          2. Distributed Loading
                                                            1. Types of Distributed Loads
                                                              1. Uniform Distributed Loads
                                                                1. Linearly Varying Loads
                                                                  1. Non-uniform Loads
                                                                  2. Resultant Force Calculation
                                                                    1. Integration Methods
                                                                      1. Area Under Load Curve
                                                                      2. Location of Resultant Force
                                                                        1. Centroid of Load Distribution
                                                                          1. Moment Equivalence

                                                                      Previous

                                                                      2. Statics of Particles

                                                                      Go to top

                                                                      Next

                                                                      4. Equilibrium of Rigid Bodies