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