NCEES-FE exam Format | Course Contents | Course Outline | exam Syllabus | exam Objectives
The FE exam includes 110-questions.
The exam appointment time is 6 hours long and includes
Nondisclosure agreement (2 minutes)Tutorial (8 minutes)
Exam (5 hours and 20 minutes)Scheduled break (25 minutes)
The Fundamentals of Engineering (FE) exam is generally your first step in the process to becoming a professional licensed engineer (P.E.). It is designed for exact graduates and students who are close to finishing an undergraduate engineering degree from an EAC/ABET-accredited program. The FE exam is a computer-based exam administered year-round at NCEES-approved Pearson VUE test centers.
Reviewing the FE exam specifications, fees, and requirementsReading the reference materialsUnderstanding scoring and reportingViewing the most up-to-date FE exam pass rates
A $175 exam fee is payable directly to NCEES. Some licensing boards may require you to file a separate application and pay an application fee as part of the approval process to qualify you for a seat for an NCEES exam. Your licensing board may have additional requirements. Special accommodations are available for examinees who meet certain eligibility criteria and sufficiently document their request.
1. Mathematics
A. Analytic geometry
B. Calculus
C. Roots of equations
D. Vector analysis
2. Probability and Statistics
A. Measures of central tendencies and dispersions (e.g., mean, mode, standard deviation)
B. Estimation for a single mean (e.g., point, confidence intervals)
C. Regression and curve fitting
D. Expected value (weighted average) in decision making
3. Computational Tools
A. Spreadsheet computations
B. Structured programming (e.g., if-then, loops, macros)
4. Ethics and Professional Practice
A. Codes of ethics (professional and technical societies)
B. Professional liability
C. Licensure
D. Sustainability and sustainable design
E. Professional skills (e.g., public policy, management, and business)
F. Contracts and contract law
5. Engineering Economics
A. Discounted cash flow (e.g., equivalence, PW, equivalent annual worth, FW, rate of return)
B. Cost (e.g., incremental, average, sunk, estimating)
C. Analyses (e.g., breakeven, benefit-cost, life cycle)
D. Uncertainty (e.g., expected value and risk)
6. Statics
A. Resultants of force systems
B. Equivalent force systems
C. Equilibrium of rigid bodies
D. Frames and trusses
E. Centroid of area
F. Area moments of inertia
G. Static friction
7. Dynamics
A. Kinematics (e.g., particles and rigid bodies)
B. Mass moments of inertia
C. Force acceleration (e.g., particles and rigid bodies)
D. Impulse momentum (e.g., particles and rigid bodies)
E. Work, energy, and power (e.g., particles and rigid bodies)
8. Mechanics of Materials
A. Shear and moment diagrams
B. Stresses and strains (e.g., axial, torsion, bending, shear, thermal)
C. Deformations (e.g., axial, torsion, bending, thermal)
D. Combined stresses
E. Principal stresses
F. Mohr's circle
G. Column analysis (e.g., buckling, boundary conditions)
H. Composite sections
I. Elastic and plastic deformations
J. Stress-strain diagrams
9. Materials
A. Mix design (e.g., concrete and asphalt)
B. Test methods and specifications (e.g., steel, concrete, aggregates, asphalt, wood)
C. Physical and mechanical properties of concrete, ferrous and nonferrous metals, masonry, wood, engineered materials (e.g., FRP, laminated lumber, wood/plastic composites), and asphalt
10. Fluid Mechanics
A. Flow measurement
B. Fluid properties
C. Fluid statics
D. Energy, impulse, and momentum equations
11. Hydraulics and Hydrologic Systems
A. Basic hydrology (e.g., infiltration, rainfall, runoff, detention, flood flows, watersheds)
B. Basic hydraulics (e.g., Manning equation, Bernoulli theorem, open-channel flow, pipe flow)
C. Pumping systems (water and wastewater)
D. Water distribution systems
E. Reservoirs (e.g., dams, routing, spillways)
F. Groundwater (e.g., flow, wells, drawdown)
G. Storm sewer collection systems
12. Structural Analysis
A. Analysis of forces in statically determinant beams, trusses, and frames
B. Deflection of statically determinant beams, trusses, and frames
C. Structural determinacy and stability analysis of beams, trusses, and frames
D. Loads and load paths (e.g., dead, live, lateral, influence lines and moving loads, tributary areas)
E. Elementary statically indeterminate structures
13. Structural Design
A. Design of steel components (e.g., codes and design philosophies, beams, columns, beam-columns, tension members, connections)
B. Design of reinforced concrete components (e.g., codes and design philosophies, beams, slabs, columns, walls, footings)
14. Geotechnical Engineering
A. Geology
B. Index properties and soil classifications
C. Phase relations (air-water-solid)
D. Laboratory and field tests
E. Effective stress (buoyancy)
F. Stability of retaining walls (e.g., active pressure/passive pressure)
G. Shear strength
H. Bearing capacity (cohesive and noncohesive)
I. Foundation types (e.g., spread footings, deep foundations, wall footings, mats)
J. Consolidation and differential settlement
K. Seepage/flow nets
L. Slope stability (e.g., fills, embankments, cuts, dams)
M. Soil stabilization (e.g., chemical additives, geosynthetics)
N. Drainage systems
O. Erosion control
15. Transportation Engineering
A. Geometric design of streets and highways
B. Geometric design of intersections
C. Pavement system design (e.g., thickness, subgrade, drainage, rehabilitation)
D. Traffic safety
E. Traffic capacity
F. Traffic flow theory
G. Traffic control devices
H. Transportation planning (e.g., travel forecast modeling)
16. Environmental Engineering
A. Water quality (ground and surface)
B. Basic tests (e.g., water, wastewater, air)
C. Environmental regulations
D. Water supply and treatment
E. Wastewater collection and treatment
17. Construction
A. Construction documents
B. Procurement methods (e.g., competitive bid, qualifications-based)
C. Project delivery methods (e.g., design-bid-build, design build, construction management, multiple prime)
D. Construction operations and methods (e.g., lifting, rigging, dewatering and pumping, equipment production, productivity analysis and improvement, temporary erosion control)
E. Project scheduling (e.g., CPM, allocation of resources)
F. Project management (e.g., owner/contractor/client relations)
G. Construction safety
H. Construction estimating
18. Surveying
A. Angles, distances, and trigonometry
B. Area computations
C. Earthwork and volume computations
D. Closure
E. Coordinate systems (e.g., state plane, latitude/longitude)
F. Leveling (e.g., differential, elevations, percent grades)
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Question: 92
A line is measured as 1,200 ft at 98 F. Using a standard tape, what is the true length of the line?
A. 1,197.70 ft
B. 1,199.77 ft
C. 1200.23 ft
D. 1202.30 ft
Answer: C
The true length of a line that is measured as 1,200 ft at 98F is 1,200.23 using a standard tape. Solution Correction = (steel tape coefficient of expansion)(outside temperature standard temperature)(measured length) Correction = (0.00000645 * 1/F) (98F - 68F) (1,200) = +0.23 ft True length = distance + correction True length= 1,200.00 ft + 0.23 ft = 1,200.23 ft
Question: 93
Which of the following statements expresses Hookes Law of simple harmonic motion?
1. Speed of a wave = frequency x wavelength
2. Spring force = -(spring constant x displacement)
3. Average speed = distance traveled / time of travel
4. None of the above
Answer: B
Hookes Law of simple harmonic motion can be expressed as spring force = - (spring constant x displacement). Spring force always pushes or pulls a mass towards its original equilibrium position, and as such, is referred to as a restoring force. Hookes Law describes the relationship of the restoring force as being directly proportional to the displacement of the mass.
Question: 94
Which of the following sentences provides an example of effective diction?
1. A good writer will only use big words when necessary.
2. The shrewd author will always endorse himself by providing imposing and superlative language.
3. As I struggled to carry my instruments across the vast expanse of the project
area, I paused to reflect on the magnificence of the setting sun.
4. All of the above
Answer: A
The sentence A good writer will only use big words when necessary. provides an example of effective diction. Good writers understand that fancy words are often distracting and condescending. Avoid using overblown vocabulary unless you are writing the next Great American novel.
Question: 95
A 2.2 kg object is sliding across a smooth surface. If the net force acting on the
object is 1.6 N to the right, what is the acceleration of the object?
1. -3.52 m/s2to the left
2. -0.73 m/s2to the right
3. 3.52 m/s2to the left
4. 0.73 m/s2to the right
Answer: D
The acceleration of a 2.2 kg object sliding across a smooth surface with a net force of 1.6 N to the right acting on it is 0.73 m/s2 to the right. Solution Use Newtons Second Law S F = ma Where S F = net force = 1.6 N to the right m = mass = 2.2 kg a = acceleration S F = ma, so a = S F/m a = 1.6 N / 2.2 kg 1 N = 1 kgm/s2, so a = (1.6 kg m/s2)/2.2 kg = 0.73 m/s2
Question: 96
Which of the following type of error is least likely to affect the measured value
for a horizontal angle?
1. Instrument
2. Environment
3. Terrain
4. Personnel
Answer: C
Terrain errors are the least likely type of errors affecting the measured value for a horizontal angle when compared to the other listed error types. The impact of instrument errors can be mitigated by properly adjusting the devices used and by using systematic observation procedures. Environmental errors affecting horizontal angle measurement may be due to temperature differentials and the horizontal refraction of the line of sight. Personnel errors can be prevented through proper training and following standard procedures.
Question: 97
Which of the following scenarios can be modeled mathematically?
1. Flow of water through a watershed
2. Migration of a pollutant through a groundwater aquifer
3. Dispersion of particulates through the air
4. All of the above
Answer: D
All of the scenarios listed can be modeled mathematically. With technology available today, engineers and planners are able to model the flow of water, migration of pollutants, and dispersion of particulates through air. Mathematical models can be built using specialized computer software linked to geographic information systems and real-time sampling equipment. These models can be used for predictive forecasting, planning, and mitigation purposes.
Question: 98
For which of the following is a Digital Terrain Modeling (DTM) application most
useful?
1. Planning flight lines
2. Generating high quality cartographic contours
3. Setting slope stakes
4. All of the above
Answer: B
Of the answers listed, Digital Terrain Modeling is most useful for generating high quality cartographic contours. DTMs are digital representations of a portion of the Earths surface. The input data, data models, and algorithms required to generate
a digital model of a terrains surface are significantly different from those needed to represent planimetric data. For example, most DTM data is derived from a combination of ground surveys, photogrammetric resources, digitized cartographic data, and altimetry data.
Question: 99
Cross-section measurements were taken at 100 ft intervals along a proposed roadway alignment. The cross-sectional areas of the material above the proposed
roadway elevation shown in two consecutive sections were found to be 420 sqft and 332 sq ft. What is the approximate volume (in cubic yards) of the material that will need to be excavated between the two cross-sections?
A. 1,393
B. 12,640
C. 37,600
D. None of the above
Answer: A
The approximate volume of the material that will need to be excavated between the two cross-sections is 1,393 cubic yards. Solution Use the volume equation averaged over the two cross-sections v = L (A1 + A2)/2 Where L = length = 100 ft A1 = 420 sqft and A2 = 332 sqft V = (100 ft) (420 ft2 + 332ft2) / 2 = 37,600 ft3
= 37,600 ft3 x (1 cubic yard/ 27 ft3) = 1,393 cubic yards (approximate)
Question: 100
What is the sum of the exterior angles of an eight-sided traverse?
A. 180
B. 1,440
C. 1,800
D. None of the above
Answer: C
Use the sum of exterior angles of a polygon equation: S = (n+2) x 180 Where n = 8 S = (8+2) x 180 = 1,800
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