Structural Analysis and Design

  1. Fundamentals of Structural Mechanics
    1. Mathematical Prerequisites
      1. Vector Analysis
        1. Differential Equations
          1. Matrix Operations
            1. Calculus Applications
            2. Principles of Statics
              1. Force Systems
                1. Concurrent Forces
                  1. Parallel Forces
                    1. General Force Systems
                      1. Distributed Forces
                      2. Vector Operations
                        1. Vector Addition
                          1. Vector Resolution
                            1. Dot Product
                              1. Cross Product
                              2. Equilibrium Conditions
                                1. Particle Equilibrium
                                  1. Rigid Body Equilibrium
                                    1. Two-Dimensional Equilibrium
                                      1. Three-Dimensional Equilibrium
                                      2. Free Body Diagrams
                                        1. Isolation of Systems
                                          1. Force Identification
                                            1. Moment Identification
                                              1. Support Reactions
                                              2. Support Types and Reactions
                                                1. Pin Supports
                                                  1. Roller Supports
                                                    1. Fixed Supports
                                                      1. Internal Hinges
                                                        1. Reaction Calculations
                                                        2. Centroids and Centers of Gravity
                                                          1. Centroid of Areas
                                                            1. Centroid of Lines
                                                              1. Composite Shapes
                                                                1. Center of Mass
                                                                2. Area Moments of Inertia
                                                                  1. Second Moments of Area
                                                                    1. Parallel Axis Theorem
                                                                      1. Polar Moments of Inertia
                                                                        1. Principal Axes
                                                                          1. Product of Inertia
                                                                        2. Mechanics of Materials
                                                                          1. Stress and Strain Concepts
                                                                            1. Normal Stress
                                                                              1. Axial Stress
                                                                                1. Bearing Stress
                                                                                  1. Stress Concentrations
                                                                                  2. Shear Stress
                                                                                    1. Direct Shear
                                                                                      1. Torsional Shear
                                                                                        1. Transverse Shear
                                                                                        2. Normal Strain
                                                                                          1. Axial Strain
                                                                                            1. Lateral Strain
                                                                                            2. Shear Strain
                                                                                              1. Angular Distortion
                                                                                              2. Stress-Strain Relationships
                                                                                                1. Linear Elastic Behavior
                                                                                                  1. Hooke's Law
                                                                                                    1. Modulus of Elasticity
                                                                                                      1. Shear Modulus
                                                                                                        1. Poisson's Ratio
                                                                                                      2. Material Properties
                                                                                                        1. Mechanical Properties
                                                                                                          1. Yield Strength
                                                                                                            1. Ultimate Strength
                                                                                                              1. Proportional Limit
                                                                                                                1. Elastic Limit
                                                                                                                2. Physical Properties
                                                                                                                  1. Density
                                                                                                                    1. Thermal Expansion
                                                                                                                      1. Durability
                                                                                                                      2. Ductility and Brittleness
                                                                                                                        1. Toughness and Resilience
                                                                                                                          1. Fatigue Properties
                                                                                                                            1. Creep and Relaxation
                                                                                                                            2. Axial Loading
                                                                                                                              1. Uniform Axial Stress
                                                                                                                                1. Axial Deformation
                                                                                                                                  1. Statically Indeterminate Members
                                                                                                                                    1. Thermal Effects
                                                                                                                                      1. Saint-Venant's Principle
                                                                                                                                      2. Torsion
                                                                                                                                        1. Circular Shafts
                                                                                                                                          1. Torsion Formula
                                                                                                                                            1. Angle of Twist
                                                                                                                                              1. Power Transmission
                                                                                                                                                1. Non-Circular Sections
                                                                                                                                                2. Bending of Beams
                                                                                                                                                  1. Pure Bending Theory
                                                                                                                                                    1. Flexure Formula
                                                                                                                                                      1. Section Modulus
                                                                                                                                                        1. Composite Beams
                                                                                                                                                          1. Unsymmetric Bending
                                                                                                                                                          2. Transverse Shear in Beams
                                                                                                                                                            1. Shear Formula
                                                                                                                                                              1. Shear Flow
                                                                                                                                                                1. Built-Up Beams
                                                                                                                                                                  1. Shear Center
                                                                                                                                                                  2. Combined Loading
                                                                                                                                                                    1. Superposition Principle
                                                                                                                                                                      1. Combined Axial and Bending
                                                                                                                                                                        1. Combined Bending and Torsion
                                                                                                                                                                          1. General Combined Loading
                                                                                                                                                                          2. Stress Transformation
                                                                                                                                                                            1. Plane Stress Transformation
                                                                                                                                                                              1. Principal Stresses
                                                                                                                                                                                1. Maximum Shear Stress
                                                                                                                                                                                  1. Mohr's Circle Construction
                                                                                                                                                                                    1. Mohr's Circle Applications
                                                                                                                                                                                    2. Beam Deflections
                                                                                                                                                                                      1. Elastic Curve Equation
                                                                                                                                                                                        1. Integration Methods
                                                                                                                                                                                          1. Boundary Conditions
                                                                                                                                                                                            1. Discontinuity Functions
                                                                                                                                                                                              1. Superposition Method
                                                                                                                                                                                              2. Column Stability
                                                                                                                                                                                                1. Euler Buckling Theory
                                                                                                                                                                                                  1. Critical Load
                                                                                                                                                                                                    1. Effective Length
                                                                                                                                                                                                      1. Slenderness Ratio
                                                                                                                                                                                                        1. Inelastic Buckling

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                                                                                                                                                                                                    1. Introduction to Structural Engineering

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                                                                                                                                                                                                    3. Structural Loads and Load Analysis