Units and Unit Conversions<br/>Chapter 1 Mathematics<br/>Analytic Geometry<br/>Straight Line<br/>Distance Formula<br/>Quadratic Equation<br/>Trigonometry<br/>Law of Sines and Law of Cosines<br/>Trigonometric Identities<br/>Conic Sections<br/>Eccentricity<br/>Generalized Equation of Conic Sections<br/>Circle<br/>Ellipse<br/>Hyperbola<br/>Parabola<br/>Mensuration: Regular Polygon<br/>Mensuration<br/>Mensuration: Area of a Parallelogram<br/>Volume of Solids<br/>Vectors<br/>Dot Product<br/>Cross Product<br/>Complex Numbers<br/>Roots of Complex Equations<br/>Matrix Algebra<br/>Cofactor<br/>Classical Adjoint<br/>Determinant<br/>Polynomials of Higher Order—Interrelationships of Roots<br/>Second-Order Polynomial (Quadratic)<br/>Third-Order Polynomial (Cubic)<br/>Fourth-Order Polynomial (Quartic)<br/>Newton’s Method of Root Extraction<br/>Differential Calculus<br/>Limits<br/>The Derivative<br/>L’Hôpital’s Rule<br/>Tests for Maxima and Minima<br/>Chain Rule for Derivatives<br/>Derivative of an Exponent<br/>Derivative of a Product of Several Functions<br/>Derivative of a Quotient of Two Functions<br/>Curvature<br/>Taylor’s Series<br/>Integral Calculus<br/>Standard Integrals<br/>Integration by Parts<br/>Integration by Substitution<br/>Integration by Separable Variables<br/>Numerical Integration: Euler’s Rule, Trapezoidal Rule, and Simpson’s Rule<br/>Partial Fractions<br/>Ordinary Differential Equation with Constant Coefficients<br/>Homogeneous Differential Equations<br/>First-Order Linear Homogeneous Differential Equation with Constant Coefficients<br/>First-Order Linear Nonhomogeneous Differential Equation with Constant Coefficients<br/>Second-Order Linear Homogeneous Differential Equation with Constant Coefficients<br/>Nonhomogeneous Linear Ordinary Differential Equation: Particular Solution<br/>Chapter 2 Probability and Statistics<br/>Permutations and Combinations<br/>Laws of Probability<br/>Independent Events<br/>Conditional Probability—Related Events<br/>Bayes’ Theorem<br/>Measures of Central Tendency<br/>Mean<br/>Variance<br/>Combinations of Random Variables<br/>Sample Mean and Sample Variance<br/>Median<br/>Probability Functions<br/>Discrete Random Variable<br/>Continuous Random Variable<br/>Normal (Gaussian) Distribution<br/>Student’s t-Distribution<br/>Confidence Intervals<br/>Binomial Distribution<br/>Expected Value<br/>Discrete Variable<br/>Continuous Variable<br/>Use of Expected Value in Decision Making<br/>Hypothesis Testing<br/>Test on Means of Normal Distribution—Variance Known<br/>Linear Regression<br/>Chapter 3 Computational Tools<br/>Number Systems<br/>Binary (Base 2)<br/>Octal (Base 8)<br/>Decimal (Base 10)<br/>Hexadecimal (Base 16)<br/>Spreadsheets as an Analysis and Design Tool<br/>Copying Formulas<br/>Some Useful Functions in EXCEL<br/>Structured Programming<br/>Declaration<br/>Initialization<br/>Counters<br/>Loops<br/>IF ELSE Expressions<br/>Sum<br/>Logical Tests<br/>Chapter 4 Ethics and Professional Practice<br/>Code of Ethics<br/>National Society of Professional Engineers Code of Ethics<br/>National Council of Examiners for Engineering and Surveying Rules<br/>NSPE Rules of Practice<br/>Professional Obligations (as Listed in the NSPE Code of Ethics)<br/>Intellectual Property<br/>Professional Liability<br/>Licensure<br/>Engineering Intern<br/>Portfolio Review<br/>Examination(s)<br/>Certification of Professional Competence<br/>General versus Specific Types of Licensure<br/>Sustainability and Sustainable Design<br/>Indicators of Sustainability<br/>Index of Sustainable Economic Welfare<br/>Chapter 5 Engineering Economics<br/>Types of Cash Flow<br/>Year-End Accounting Convention<br/>Minimum Attractive Rate of Return<br/>Nonannual Compounding<br/>Present Worth<br/>Principal in a Sinking Fund<br/>Capitalized Cost<br/>Equivalent Uniform Annual Cost<br/>Depreciation<br/>Straight-Line Method<br/>Modified Accelerated Cost Recovery System<br/>Tax Issues<br/>Bonds<br/>Break-Even Analysis<br/>Return on Investment<br/>Benefit-Cost Analysis<br/>Uncertainty (Expected Value and Risk)<br/>Chapter 6 Statics<br/>Vectors<br/>Definitions<br/>Resultant of a System of Forces (2D)<br/>Moment of a Force<br/>Moment about a Point<br/>Moment about a Line (Axis)<br/>Equivalent Force Systems<br/>Equilibrium of Rigid Bodies<br/>Representation of Distributed Loads<br/>Rigid Frames: Degrees of Freedom, Determinacy, and Stability<br/>Inclined Support<br/>Ideal Truss—Stability and Determinacy<br/>Truss Member Forces: Method of Joints<br/>Truss Member Forces: Method of Sections<br/>Identification of Zero-Force Members<br/>Truss Deflection: Method of Virtual Work<br/>Influence Line for Truss Member Force<br/>Centroid of an Area by Integration<br/>Centroid of a Compound Area—Weighted Average<br/>Various Section Properties<br/>Moment of Inertia (I)<br/>Polar Moment of Inertia (J)<br/>Product of Inertia<br/>Friction<br/>Belt Friction<br/>Screw Thread<br/>Chapter 7 Dynamics<br/>Kinematics<br/>Particle Kinematics<br/>Rigid Body Kinematics<br/>Kinetics<br/>Particle Kinetics<br/>Constant Length of String Concept<br/>Rigid Body Kinetics<br/>Principle of Impulse and Momentum<br/>Impact<br/>Coefficient of Restitution<br/>Elastic versus Plastic Impact<br/>Principle of Work and Energy<br/>Work<br/>Gravitational Potential Energy<br/>Elastic Potential Energy<br/>Kinetic Energy<br/>Chapter 8 Mechanics of Materials<br/>Shear Force and Bending Moment Diagrams<br/>Shear Force Diagram<br/>Bending Moment Diagram<br/>Normal Stress and Strain<br/>Hooke’s Law<br/>Elastic versus Inelastic Behavior<br/>Poisson’s Ratio<br/>Shear Stress<br/>Generalized Hooke’s Law<br/>Typical Stress-Strain Curve for Mild Steel<br/>Ductility<br/>Elasto-Plastic Model<br/>Bending Stress<br/>Elastic Section Modulus<br/>Plastic Section Modulus<br/>Combined Axial and Bending Stress<br/>Shear Stress due to Transverse Load<br/>Beam Deflection—The Elastic Curve<br/>Direct Integration Method<br/>Unit Load Method<br/>Beam Deflection Equations<br/>Torsion<br/>Shear Stress due to Torsion—Circular Sections<br/>Shear Stress due to Torsion—Thin-Walled Sections<br/>Thermal Stress and Strain<br/>Mohr’s Circle: Normal (σ) and Shear (τ) Stress Combination<br/>Principal Stresses<br/>Composite Materials<br/>Composite Section Undergoing Axial Force<br/>Composite Section Undergoing Flexure<br/>Stability of Axially Loaded Columns—Euler Buckling<br/>Chapter 9 Materials<br/>Concrete Mix Design<br/>Absolute Volume Method<br/>Asphalt Mix Design: Volumetric Relationships<br/>Unit Volume Approach to Calculating Asphalt Properties<br/>Common Material Tests<br/>Asphalt: Particle Size Analysis (AASHTO T30/ASTM D5444)<br/>Asphalt: Moisture Susceptibility Test (AASHTO T283/ASTM D4867)<br/>Asphalt: Specific Gravity and Absorption of Coarse Aggregate (AASHTO T85/ASTM C127)<br/>Asphalt Binder Content Test (AASHTO T308/ASTM D6307)<br/>Voids in Mineral Aggregate (VMA) (AASHTO T166 and T209/ASTM D2726 and D2041)<br/>Steel: Tensile Test<br/>Concrete: Compression Test<br/>Concrete: Split Cylinder Test<br/>Third Point Loading Test of a Beam (Flexure)<br/>Engineering Materials and Their Properties<br/>Unit Weight<br/>Steel: Tensile Strength<br/>Concrete: Compressive Strength<br/>Modulus of Elasticity<br/>Poisson’s Ratio<br/>Thermal Expansion<br/>Composites<br/>Chapter 10 Fluid Mechanics<br/>Fluid Properties<br/>Density<br/>Surface Tension<br/>Capillary Action<br/>Viscosity<br/>Laminar versus Turbulent Flow<br/>Relationship between Average Velocity and Maximum Velocity<br/>Static Pressure on Submerged Surfaces<br/>Static Pressure on Plane Area of Arbitrary Shape<br/>Static Pressure on Compound Area (Curved or Multiple Linear Segments)<br/>Fluid Dynamics<br/>Conservation of Mass<br/>Conservation of Energy<br/>Conservation of Momentum<br/>Energy Grade Line and Hydraulic Grade Line<br/>Fluid Power<br/>Dynamic Similarity<br/>Flow Measurement Devices<br/>Pitot Tube<br/>Orifice Meter<br/>Venturi Meter<br/>Flow Measurement with Weirs<br/>Sharp-Crested Weirs<br/>Triangular Weirs<br/>Chapter 11 Hydraulics and Hydrologic Systems<br/>Hydrologic Balance<br/>Precipitation<br/>Rainfall Intensity<br/>Intensity-Duration-Frequency Curves<br/>Time of Concentration<br/>Hydrograph<br/>Hydrograph Separation<br/>Unit Hydrograph<br/>Runoff Estimation by Natural Resources Conservation Service Curve Number<br/>Procedure for the NRCS Method<br/>Rational Method for Predicting Runoff<br/>Water Distribution Systems<br/>Inflow and Infiltration<br/>Closed Conduit Hydraulics<br/>Darcy-Weisbach Equation<br/>Laminar Flow<br/>Hydraulic Radius and Hydraulic Diameter<br/>Hazen-Williams Equation<br/>Head Loss in Circular Conduits<br/>Minor Losses<br/>Equivalent Length<br/>Pipe Networks<br/>Two-Node Network<br/>Pumps<br/>System Curve<br/>Pump Curves<br/>Cavitation<br/>Circular Pipe Head Loss<br/>Open Channel Flow Fundamentals<br/>Rectangular Open Channels<br/>Critical Depth of Flow in Open Channels<br/>Alternate Depths<br/>Velocity in Open Channels<br/>Hydraulic Parameters of Straight-Sided Open Channels<br/>Hydraulic Parameters of Circular Open Channels<br/>Momentum in Open Channels<br/>Hydraulic Jump<br/>Groundwater Distribution<br/>Groundwater Dewatering<br/>Chapter 12 Structural Analysis<br/>Structural Determinacy and Stability<br/>Determinacy and Stability of Trusses, Frames, and Beams<br/>Trusses<br/>Frames<br/>Beams<br/>Load Path and Tributary Area<br/>Floor System: Load Path<br/>Analysis of Trusses<br/>Load Types<br/>Dead Loads<br/>Live Loads<br/>Snow Loads<br/>Seismic Loads<br/>Moving Loads: Influence Lines<br/>Deflection<br/>Truss Deflection<br/>Frame Deflection<br/>Introduction to Indeterminate Structural Analysis<br/>Compatibility<br/>Indeterminate Trusses<br/>Displacement Methods: Slope Deflection and Moment Distribution<br/>Chapter 13 Structural Design<br/>Reinforced Concrete Design<br/>Basic Provisions of ACI 318-2011<br/>Reinforcement<br/>Strength Design Approach<br/>Analysis and Design of Reinforced Concrete Beams in Flexure<br/>Analysis and Desi
gn of Reinforced Concrete Columns<br/>Steel Design<br/>Load and Resistance Factor Design<br/>Analysis and Design of Beams (Flexure)<br/>Design for Shear<br/>Analysis and Design of Steel Compression Members<br/>Analysis and Design of Steel Tension Members<br/>Chapter 14 Geotechnical Engineering<br/>Mineralogy<br/>Igneous Rocks<br/>Weathering<br/>Sedimentary Rocks<br/>Metamorphic Rocks<br/>Clay Minerals<br/>Soil as a Three-Phase System<br/>Fundamental Definitions<br/>Shrinkage and Swell<br/>Effective Stress<br/>Shear Strength (Mohr-Coulomb)<br/>Standard Soil Tests<br/>Liquid Limit Test (ASTM D-4318)<br/>Plastic Limit Test (ASTM D-4318)<br/>Standard Penetration Test<br/>Relative Density<br/>Cone Penetrometer Test<br/>Direct Shear Test<br/>Unconfined Compression Test<br/>Compaction<br/>Triaxial Test Fundamentals<br/>Consolidation<br/>Consolidation Test<br/>Settlement due to Primary Consolidation<br/>Consolidation Rate<br/>Soil Classification<br/>Sieve Sizes<br/>Particle Size Distribution Curves<br/>Hydrometer Analysis<br/>Unified Soil Classification System<br/>AASHTO Soil Classification<br/>Bearing Capacity<br/>Foundation Types<br/>Ultimate Bearing Capacity<br/>Effect of Water Table on Bearing Capacity<br/>Combined Footing<br/>Eccentric Load on a Shallow Footing<br/>Mat Foundations<br/>Deep Foundations<br/>Lateral Earth Pressure<br/>Stability and Strength Checks<br/>Active Earth Pressure<br/>Rankine’s Theory for Earth Pressure<br/>Steps for Evaluating Stability of a Retaining Wall<br/>Slope Stability<br/>Stability of Slopes along a Planar Surface<br/>Permeability of Soils<br/>Darcy’s Law for Seepage<br/>Liquefaction<br/>Laboratory Measurement of Hydraulic Conductivity<br/>Flow Nets<br/>Aquifers<br/>Soil Stabilization<br/>Mechanical Stabilization<br/>Chemical Stabilization<br/>Erosion Control Methods<br/>Geosynthetics<br/>Chapter 15 Transportation<br/>Transportation Planning<br/>Trip Generation<br/>Trip Distribution: Gravity Model<br/>Modal Split by the Logit Model<br/>Design Traffic Volume<br/>Expansion Factors<br/>Travel Speed<br/>Speed–Volume–Density Relationships<br/>Level of Service (LOS) of Freeway Segments<br/>Constant Acceleration and Deceleration<br/>Intersections<br/>Intersection Sight Distance<br/>Change and Clearance Intervals at an Intersection<br/>Pavement Design<br/>Equivalent Single Axle Load<br/>Load Equivalence Factors<br/>Flexible Pavements<br/>Rigid Pavement Design<br/>Highway Design: Horizontal Curves<br/>Highway Design: Superelevation<br/>Coefficient of Side Friction<br/>Highway Design: Spiral Curves<br/>Highway Design: Vertical Curves<br/>Sight Distance<br/>Stopping Sight Distance—AASHTO Recommendations<br/>Sight Distance on Vertical Curves<br/>Stopping Sight Distance on Horizontal Curves<br/>Highway Safety<br/>Accident Rates<br/>Accident Countermeasures<br/>Chapter 16 Environmental Engineering<br/>Main U.S. Environmental Laws<br/>Clean Air Act (1955, amended 1977)<br/>Clean Water Act (1948, amended 1977)<br/>Safe Drinking Water Act<br/>Resource Conservation and Recovery Act (1976, amended 1986)<br/>Surface Water Treatment Rule<br/>Municipal Separate Storm Sewer System<br/>Water Quality–Based Effluent Limits<br/>Water Quality<br/>Biochemical Oxygen Demand<br/>Dilution Purification of Wastewater Streams<br/>Hardness in Water<br/>pH and pOH<br/>Alkalinity<br/>Wastewater Flow Rates from Various Sources<br/>Municipal Wastewater Treatment<br/>Reactors Used for Wastewater Treatment<br/>Reaction Kinetics and Reactor Hydraulics<br/>Physical Unit Operations in Wastewater Treatment<br/>Mixing and Flocculation<br/>Settling of Particles<br/>Primary Sedimentation Tanks<br/>Absorption versus Adsorption<br/>Activated Carbon Adsorption<br/>Coagulation<br/>Chemical Unit Processes in Wastewater Treatment<br/>Chemical Neutralization<br/>Disinfection<br/>Log Inactivation<br/>Biological Wastewater Treatment<br/>Biochemistry, Biology, and Bacteriology<br/>Effect of Temperature and pH<br/>Aerobic versus Anaerobic Biological Treatment<br/>Hydraulic Detention Time<br/>Activated Sludge Process<br/>Air Pollution<br/>Cyclonic Separation<br/>Electrostatic Precipitator<br/>Destruction and Removal Efficiency<br/>Reverse Osmosis<br/>Solid Waste Management<br/>Leachate<br/>Chapter 17 Construction<br/>Stages of Construction<br/>Construction Documents<br/>Submittals<br/>Request for Information<br/>Procurement Methods<br/>Open Tendering<br/>Restricted Tendering<br/>Request for Proposal<br/>Two-Stage Tendering<br/>Request for Quotations<br/>Single Source<br/>Project Delivery Methods<br/>Design-Bid-Build<br/>Construction Management at Risk<br/>Design-Build<br/>Construction Operations and Methods<br/>Machine Production<br/>Production Cycle Time<br/>Equipment Balancing<br/>Scheduling<br/>Gantt Charts<br/>Critical Path Analysis<br/>Program Evaluation and Review Technique<br/>Earned Value Management<br/>OSHA Regulations for Construction Projects<br/>Rules of Construction<br/>Site Layout<br/>Emergency Response<br/>Signs, Signals, and Barricades<br/>Fall Protection<br/>Quantity Estimating<br/>Quantity Estimation for Excavations<br/>Estimating Mortar Quantity between Bricks or Masonry Blocks<br/>Chapter 18 Surveying<br/>Glossary of Terms<br/>Coordinate Systems<br/>State Plane Coordinate System<br/>Global Positioning System<br/>Types of Surveys<br/>Stationing<br/>Chaining Techniques<br/>Tension Correction<br/>Temperature Correction<br/>Sag Correction (Not in the FE Reference Handbook)<br/>Angles and Distances<br/>Azimuth<br/>Bearings<br/>Latitude and Departure<br/>Northings and Eastings<br/>Interior and Exterior Angles<br/>Area of a Traverse by Coordinates<br/>Area under an Irregular Curve<br/>Traverse Closure<br/>Transit Rule<br/>Differential Leveling<br/>Index