Solid Mechanics

  1. Beam Bending Theory
    1. Internal Forces in Beams
      1. Shear Force Definition
        1. Bending Moment Definition
          1. Sign Conventions
            1. Relationship between Load, Shear, and Moment
            2. Shear and Moment Diagrams
              1. Construction Methods
                1. Point-by-Point Method
                  1. Integration Method
                    1. Graphical Method
                    2. Distributed Loads
                      1. Concentrated Loads
                        1. Applied Moments
                        2. Pure Bending Theory
                          1. Kinematic Assumptions
                            1. Plane Sections Remain Plane
                              1. Neutral Axis Location
                                1. Curvature-Moment Relationship
                                2. Flexure Formula
                                  1. Derivation and Assumptions
                                    1. Section Modulus
                                      1. Applications to Different Shapes
                                        1. Rectangular Sections
                                          1. Circular Sections
                                            1. I-Beam Sections
                                              1. T-Beam Sections
                                            2. Unsymmetric Bending
                                              1. Principal Axes of Bending
                                                1. Bending about Arbitrary Axes
                                                  1. Shear Center Concept
                                                    1. Biaxial Bending
                                                    2. Composite Beams
                                                      1. Transformed Section Method
                                                        1. Modular Ratio
                                                          1. Stress Distribution
                                                            1. Design Considerations
                                                            2. Reinforced Concrete Beams
                                                              1. Working Stress Method
                                                                1. Stress Distribution in Cracked Sections
                                                                  1. Balanced Design
                                                                    1. Steel and Concrete Interaction
                                                                    2. Curved Beams
                                                                      1. Stress Distribution in Curved Members
                                                                        1. Correction Factors

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                                                                      6. Torsion of Shafts

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                                                                      8. Transverse Shear in Beams