Engineering Fundamentals

  1. Core Engineering Sciences
    1. Statics
      1. Force Systems and Vectors
        1. Types of Forces
          1. Vector Addition
            1. Vector Resolution
              1. Unit Vectors
              2. Equilibrium of a Particle
                1. Free-Body Diagrams
                  1. Equilibrium Equations
                    1. Two-Dimensional Problems
                      1. Three-Dimensional Problems
                      2. Moments and Couples
                        1. Moment of a Force
                          1. Varignon's Theorem
                            1. Couples
                              1. Resultant Moments
                              2. Equilibrium of Rigid Bodies
                                1. Two-Dimensional Equilibrium
                                  1. Three-Dimensional Equilibrium
                                    1. Support Reactions
                                      1. Constraints and Degrees of Freedom
                                      2. Structural Analysis
                                        1. Trusses
                                          1. Method of Joints
                                            1. Method of Sections
                                              1. Zero-Force Members
                                              2. Frames and Machines
                                                1. Analysis of Frames
                                                  1. Analysis of Machines
                                                2. Distributed Loads
                                                  1. Types of Distributed Loads
                                                    1. Resultant of Distributed Loads
                                                      1. Load Distribution on Beams
                                                      2. Centroids and Centers of Gravity
                                                        1. Centroids of Areas
                                                          1. Centroids of Composite Areas
                                                            1. Centers of Gravity
                                                            2. Friction
                                                              1. Laws of Friction
                                                                1. Static Friction
                                                                  1. Kinetic Friction
                                                                    1. Applications of Friction
                                                                    2. Moments of Inertia
                                                                      1. Area Moment of Inertia
                                                                        1. Parallel Axis Theorem
                                                                          1. Mass Moment of Inertia
                                                                            1. Radius of Gyration
                                                                          2. Dynamics
                                                                            1. Kinematics of Particles
                                                                              1. Rectilinear Motion
                                                                                1. Curvilinear Motion
                                                                                  1. Relative Motion
                                                                                    1. Coordinate Systems
                                                                                    2. Kinetics of Particles
                                                                                      1. Newton's Second Law
                                                                                        1. Force and Acceleration
                                                                                          1. Work and Energy Methods
                                                                                            1. Impulse and Momentum Methods
                                                                                            2. Kinematics of Rigid Bodies
                                                                                              1. Translation
                                                                                                1. Rotation About a Fixed Axis
                                                                                                  1. General Plane Motion
                                                                                                    1. Instantaneous Center of Rotation
                                                                                                    2. Kinetics of Rigid Bodies
                                                                                                      1. Planar Motion
                                                                                                        1. Force, Mass, and Acceleration
                                                                                                          1. Work-Energy Principle for Rigid Bodies
                                                                                                            1. Impulse-Momentum Principle for Rigid Bodies
                                                                                                            2. Vibrations
                                                                                                              1. Free Vibrations
                                                                                                                1. Natural Frequency
                                                                                                                  1. Damped Vibrations
                                                                                                                    1. Forced Vibrations
                                                                                                                      1. Resonance
                                                                                                                    2. Mechanics of Materials
                                                                                                                      1. Stress and Strain
                                                                                                                        1. Normal Stress
                                                                                                                          1. Normal Strain
                                                                                                                            1. Shear Stress
                                                                                                                              1. Shear Strain
                                                                                                                                1. Stress-Strain Relationships
                                                                                                                                2. Mechanical Properties of Materials
                                                                                                                                  1. Elastic Deformation
                                                                                                                                    1. Plastic Deformation
                                                                                                                                      1. Stress-Strain Diagrams
                                                                                                                                        1. Hooke's Law
                                                                                                                                          1. Poisson's Ratio
                                                                                                                                            1. Modulus of Elasticity
                                                                                                                                              1. Yield Strength
                                                                                                                                                1. Ultimate Strength
                                                                                                                                                2. Axial Loading
                                                                                                                                                  1. Deformation of Axially Loaded Members
                                                                                                                                                    1. Statically Indeterminate Problems
                                                                                                                                                      1. Thermal Stresses
                                                                                                                                                      2. Torsion
                                                                                                                                                        1. Torsion of Circular Shafts
                                                                                                                                                          1. Shear Stress in Torsion
                                                                                                                                                            1. Angle of Twist
                                                                                                                                                              1. Power Transmission
                                                                                                                                                              2. Bending
                                                                                                                                                                1. Shear and Moment Diagrams
                                                                                                                                                                  1. Bending Stress in Beams
                                                                                                                                                                    1. Flexure Formula
                                                                                                                                                                      1. Shear Stress in Beams
                                                                                                                                                                        1. Beam Design
                                                                                                                                                                        2. Transverse Shear
                                                                                                                                                                          1. Shear Flow
                                                                                                                                                                            1. Shear Center
                                                                                                                                                                              1. Built-Up Beams
                                                                                                                                                                              2. Combined Loadings
                                                                                                                                                                                1. Superposition Principle
                                                                                                                                                                                  1. Combined Axial and Bending Loads
                                                                                                                                                                                    1. Combined Bending and Torsional Loads
                                                                                                                                                                                    2. Stress Transformation
                                                                                                                                                                                      1. Transformation Equations
                                                                                                                                                                                        1. Principal Stresses
                                                                                                                                                                                          1. Principal Strains
                                                                                                                                                                                            1. Mohr's Circle for Stress
                                                                                                                                                                                              1. Mohr's Circle for Strain
                                                                                                                                                                                              2. Beam Deflection
                                                                                                                                                                                                1. Differential Equations of the Deflection Curve
                                                                                                                                                                                                  1. Boundary Conditions
                                                                                                                                                                                                    1. Integration Method
                                                                                                                                                                                                      1. Superposition Method
                                                                                                                                                                                                        1. Moment-Area Method
                                                                                                                                                                                                        2. Buckling of Columns
                                                                                                                                                                                                          1. Euler's Buckling Theory
                                                                                                                                                                                                            1. Critical Load Calculation
                                                                                                                                                                                                              1. Effective Length
                                                                                                                                                                                                                1. Column Design
                                                                                                                                                                                                              2. Engineering Thermodynamics
                                                                                                                                                                                                                1. Properties of Pure Substances
                                                                                                                                                                                                                  1. Phase Diagrams
                                                                                                                                                                                                                    1. Property Tables
                                                                                                                                                                                                                      1. Steam Tables
                                                                                                                                                                                                                        1. Refrigerant Tables
                                                                                                                                                                                                                        2. Energy Transfer
                                                                                                                                                                                                                          1. Forms of Energy
                                                                                                                                                                                                                            1. Work in Thermodynamic Processes
                                                                                                                                                                                                                              1. Heat Transfer Mechanisms
                                                                                                                                                                                                                              2. First Law for Closed Systems
                                                                                                                                                                                                                                1. Control Mass Analysis
                                                                                                                                                                                                                                  1. Energy Balance Equations
                                                                                                                                                                                                                                    1. Specific Heats
                                                                                                                                                                                                                                    2. First Law for Open Systems
                                                                                                                                                                                                                                      1. Control Volume Analysis
                                                                                                                                                                                                                                        1. Steady-Flow Processes
                                                                                                                                                                                                                                          1. Mass Balance
                                                                                                                                                                                                                                          2. Second Law and Entropy Analysis
                                                                                                                                                                                                                                            1. Entropy Change in Processes
                                                                                                                                                                                                                                              1. Reversible Processes
                                                                                                                                                                                                                                                1. Irreversible Processes
                                                                                                                                                                                                                                                  1. Entropy Generation
                                                                                                                                                                                                                                                  2. Power Cycles
                                                                                                                                                                                                                                                    1. Rankine Cycle
                                                                                                                                                                                                                                                      1. Brayton Cycle
                                                                                                                                                                                                                                                        1. Otto Cycle
                                                                                                                                                                                                                                                          1. Diesel Cycle
                                                                                                                                                                                                                                                            1. Efficiency Analysis
                                                                                                                                                                                                                                                            2. Refrigeration Cycles
                                                                                                                                                                                                                                                              1. Vapor-Compression Refrigeration Cycle
                                                                                                                                                                                                                                                                1. Coefficient of Performance
                                                                                                                                                                                                                                                                  1. Heat Pump Cycles
                                                                                                                                                                                                                                                                2. Fluid Mechanics
                                                                                                                                                                                                                                                                  1. Fluid Properties
                                                                                                                                                                                                                                                                    1. Density
                                                                                                                                                                                                                                                                      1. Specific Gravity
                                                                                                                                                                                                                                                                        1. Viscosity
                                                                                                                                                                                                                                                                          1. Surface Tension
                                                                                                                                                                                                                                                                            1. Capillarity
                                                                                                                                                                                                                                                                              1. Compressibility
                                                                                                                                                                                                                                                                              2. Fluid Statics
                                                                                                                                                                                                                                                                                1. Pressure Variation in a Fluid
                                                                                                                                                                                                                                                                                  1. Hydrostatic Pressure
                                                                                                                                                                                                                                                                                    1. Manometry
                                                                                                                                                                                                                                                                                      1. Buoyancy
                                                                                                                                                                                                                                                                                        1. Stability of Floating Bodies
                                                                                                                                                                                                                                                                                        2. Fluid Kinematics
                                                                                                                                                                                                                                                                                          1. Flow Descriptions
                                                                                                                                                                                                                                                                                            1. Lagrangian Description
                                                                                                                                                                                                                                                                                              1. Eulerian Description
                                                                                                                                                                                                                                                                                              2. Streamlines
                                                                                                                                                                                                                                                                                                1. Pathlines
                                                                                                                                                                                                                                                                                                  1. Streaklines
                                                                                                                                                                                                                                                                                                    1. Flow Classification
                                                                                                                                                                                                                                                                                                    2. Bernoulli and Energy Equations
                                                                                                                                                                                                                                                                                                      1. Bernoulli's Equation
                                                                                                                                                                                                                                                                                                        1. Applications of Bernoulli's Principle
                                                                                                                                                                                                                                                                                                          1. Energy Equation
                                                                                                                                                                                                                                                                                                            1. Hydraulic Grade Line
                                                                                                                                                                                                                                                                                                            2. Momentum Analysis of Flow Systems
                                                                                                                                                                                                                                                                                                              1. Control Volume Approach
                                                                                                                                                                                                                                                                                                                1. Conservation of Momentum
                                                                                                                                                                                                                                                                                                                  1. Forces on Pipes and Nozzles
                                                                                                                                                                                                                                                                                                                  2. Dimensional Analysis and Similitude
                                                                                                                                                                                                                                                                                                                    1. Buckingham Pi Theorem
                                                                                                                                                                                                                                                                                                                      1. Dimensionless Numbers
                                                                                                                                                                                                                                                                                                                        1. Model Testing
                                                                                                                                                                                                                                                                                                                          1. Scaling Laws
                                                                                                                                                                                                                                                                                                                          2. Viscous Flow in Pipes
                                                                                                                                                                                                                                                                                                                            1. Laminar Flow
                                                                                                                                                                                                                                                                                                                              1. Turbulent Flow
                                                                                                                                                                                                                                                                                                                                1. Reynolds Number
                                                                                                                                                                                                                                                                                                                                  1. Head Loss
                                                                                                                                                                                                                                                                                                                                    1. Friction Factor
                                                                                                                                                                                                                                                                                                                                      1. Moody Chart
                                                                                                                                                                                                                                                                                                                                      2. External Flow
                                                                                                                                                                                                                                                                                                                                        1. Flow Over Flat Plates
                                                                                                                                                                                                                                                                                                                                          1. Flow Over Cylinders
                                                                                                                                                                                                                                                                                                                                            1. Flow Over Spheres
                                                                                                                                                                                                                                                                                                                                              1. Drag and Lift
                                                                                                                                                                                                                                                                                                                                            2. Electric Circuits
                                                                                                                                                                                                                                                                                                                                              1. Circuit Variables
                                                                                                                                                                                                                                                                                                                                                1. Voltage
                                                                                                                                                                                                                                                                                                                                                  1. Current
                                                                                                                                                                                                                                                                                                                                                    1. Power
                                                                                                                                                                                                                                                                                                                                                      1. Energy
                                                                                                                                                                                                                                                                                                                                                      2. Circuit Elements
                                                                                                                                                                                                                                                                                                                                                        1. Resistors
                                                                                                                                                                                                                                                                                                                                                          1. Capacitors
                                                                                                                                                                                                                                                                                                                                                            1. Inductors
                                                                                                                                                                                                                                                                                                                                                              1. Independent Sources
                                                                                                                                                                                                                                                                                                                                                                1. Dependent Sources
                                                                                                                                                                                                                                                                                                                                                                2. Simple Resistive Circuits
                                                                                                                                                                                                                                                                                                                                                                  1. Series Circuits
                                                                                                                                                                                                                                                                                                                                                                    1. Parallel Circuits
                                                                                                                                                                                                                                                                                                                                                                      1. Series-Parallel Circuits
                                                                                                                                                                                                                                                                                                                                                                        1. Voltage Division
                                                                                                                                                                                                                                                                                                                                                                          1. Current Division
                                                                                                                                                                                                                                                                                                                                                                          2. Circuit Laws
                                                                                                                                                                                                                                                                                                                                                                            1. Kirchhoff's Current Law
                                                                                                                                                                                                                                                                                                                                                                              1. Kirchhoff's Voltage Law
                                                                                                                                                                                                                                                                                                                                                                                1. Ohm's Law
                                                                                                                                                                                                                                                                                                                                                                                2. Nodal and Mesh Analysis
                                                                                                                                                                                                                                                                                                                                                                                  1. Node Voltage Method
                                                                                                                                                                                                                                                                                                                                                                                    1. Mesh Current Method
                                                                                                                                                                                                                                                                                                                                                                                      1. Supernodes
                                                                                                                                                                                                                                                                                                                                                                                        1. Supermeshes
                                                                                                                                                                                                                                                                                                                                                                                        2. Circuit Theorems
                                                                                                                                                                                                                                                                                                                                                                                          1. Thevenin's Theorem
                                                                                                                                                                                                                                                                                                                                                                                            1. Norton's Theorem
                                                                                                                                                                                                                                                                                                                                                                                              1. Superposition Principle
                                                                                                                                                                                                                                                                                                                                                                                                1. Maximum Power Transfer Theorem
                                                                                                                                                                                                                                                                                                                                                                                                2. First-Order Circuits
                                                                                                                                                                                                                                                                                                                                                                                                  1. RL Circuits
                                                                                                                                                                                                                                                                                                                                                                                                    1. RC Circuits
                                                                                                                                                                                                                                                                                                                                                                                                      1. Natural Response
                                                                                                                                                                                                                                                                                                                                                                                                        1. Forced Response
                                                                                                                                                                                                                                                                                                                                                                                                          1. Complete Response
                                                                                                                                                                                                                                                                                                                                                                                                          2. Second-Order Circuits
                                                                                                                                                                                                                                                                                                                                                                                                            1. RLC Circuits
                                                                                                                                                                                                                                                                                                                                                                                                              1. Characteristic Equation
                                                                                                                                                                                                                                                                                                                                                                                                                1. Overdamped Response
                                                                                                                                                                                                                                                                                                                                                                                                                  1. Critically Damped Response
                                                                                                                                                                                                                                                                                                                                                                                                                    1. Underdamped Response
                                                                                                                                                                                                                                                                                                                                                                                                                    2. Sinusoidal Steady-State Analysis
                                                                                                                                                                                                                                                                                                                                                                                                                      1. Phasors
                                                                                                                                                                                                                                                                                                                                                                                                                        1. Impedance
                                                                                                                                                                                                                                                                                                                                                                                                                          1. Admittance
                                                                                                                                                                                                                                                                                                                                                                                                                            1. Frequency Response
                                                                                                                                                                                                                                                                                                                                                                                                                              1. Resonance in AC Circuits
                                                                                                                                                                                                                                                                                                                                                                                                                              2. AC Power Analysis
                                                                                                                                                                                                                                                                                                                                                                                                                                1. Instantaneous Power
                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Average Power
                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Reactive Power
                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Apparent Power
                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Power Factor
                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Complex Power
                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Materials Science and Engineering
                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Atomic Structure and Interatomic Bonding
                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Types of Bonds
                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Ionic Bonding
                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Covalent Bonding
                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Metallic Bonding
                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Van der Waals Bonding
                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Crystal Structures
                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Crystal Systems
                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Structure of Crystalline Solids
                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Unit Cells
                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Lattice Parameters
                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Miller Indices
                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Crystallographic Directions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Crystallographic Planes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Imperfections in Solids
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Point Defects
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Vacancies
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Interstitials
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Substitutional Atoms
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2. Dislocations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Edge Dislocations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Screw Dislocations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Grain Boundaries
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Surface Defects
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Diffusion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Mechanisms of Diffusion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Fick's First Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Fick's Second Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Factors Affecting Diffusion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Mechanical Properties
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Tensile Strength
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Yield Strength
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Hardness
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Toughness
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Ductility
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Brittleness
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Fatigue
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Creep
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2. Dislocations and Strengthening Mechanisms
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Dislocation Motion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Strengthening by Grain Size Reduction
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Solid Solution Strengthening
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Work Hardening
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Precipitation Hardening
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Phase Diagrams
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Binary Phase Diagrams
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Lever Rule
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Eutectic Reactions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Eutectoid Reactions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Peritectic Reactions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Phase Transformations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Nucleation and Growth
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Time-Temperature-Transformation Diagrams
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Continuous Cooling Transformation Diagrams
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                2. Types and Applications of Materials
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Metals
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Ferrous Alloys
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Carbon Steels
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Alloy Steels
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Cast Irons
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2. Nonferrous Alloys
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Aluminum Alloys
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Copper Alloys
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Titanium Alloys
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              2. Ceramics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Structure and Properties
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Traditional Ceramics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Advanced Ceramics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2. Polymers
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1. Structure and Properties
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        1. Thermoplastics
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          1. Thermosets
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            1. Elastomers
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2. Composites
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1. Fiber-Reinforced Composites
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1. Particle-Reinforced Composites
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1. Structural Composites
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    1. Properties and Applications

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Go to top

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