FE Civil Engineering Exam Prep #3 — Questions and Answers
Question 1: Which of the following statements is NOT true?
- Contour lines do not meet, cross, or end, except at vertical cliffs, over hangs, or caves.
- Contour lines are drawn so that the ground higher than the contour line is always on the same side of the contour line
- Contour lines are parallel to the direction of maximum slope. (Correct answer)
- The spacing between contour lines is indicative of the steepness of the slope.
Correct answer: Contour lines are parallel to the direction of maximum slope.
Contour lines connect points of equal elevation on a map. The direction of maximum slope is always perpendicular to the contour lines, indicating the steepest path uphill or downhill. Therefore, stating that contour lines are parallel to the direction of maximum slope is incorrect; they are orthogonal to it, showing that the steepest path crosses the contours at right angles.
Question 2: A line is measured as 1,200 ft at 98° F. Using a standard tape, what is the true length of the line?
- 1,197.70 ft
- 1,199.77 ft
- 1200.23 ft (Correct answer)
- 1202.30 ft
Correct answer: 1200.23 ft
This question involves a temperature correction for a steel tape. Steel tapes expand when the ambient temperature is higher than the standard calibration temperature (typically 68°F). The correction is calculated by multiplying the measured length, the coefficient of thermal expansion for steel (approximately 0.00000645 per °F), and the temperature difference. Since the tape expanded, the measured length is shorter than the true length, so the correction is added to the measured value: 1200 ft + (1200 ft * 0.00000645/°F * (98°F - 68°F)) = 1200 + 0.2322 = 1200.23 ft.
Question 3: Which of the following statements expresses Hooke’s Law of simple harmonic motion?
- Speed of a wave = frequency x wavelength
- Spring force = -(spring constant x displacement) (Correct answer)
- Average speed = distance traveled / time of travel
- None of the above
Correct answer: Spring force = -(spring constant x displacement)
Hooke's Law describes the restoring force of a spring, stating that this force is directly proportional to the displacement from its equilibrium position. The formula F = -kx, where F is the spring force, k is the spring constant, and x is the displacement, accurately represents this relationship. The negative sign indicates that the spring force always acts in the opposite direction to the displacement, attempting to restore the spring to equilibrium.
Question 4: Which of the following sentences provides an example of effective diction?
- A good writer will only use big words when necessary. (Correct answer)
- The shrewd author will always endorse himself by providing imposing and superlative language.
- 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.
- All of the above
Correct answer: A good writer will only use big words when necessary.
Effective diction involves choosing words that are precise, appropriate for the audience and purpose, and contribute to clarity and conciseness. Option A emphasizes that complex vocabulary should only be used when it genuinely enhances meaning, rather than for mere embellishment. The other options demonstrate overly verbose or pretentious language, which typically hinders clarity and is not considered effective diction.
Question 5: 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?
- -3.52 m/s2to the left
- -0.73 m/s2to the right
- 3.52 m/s2to the left
- 0.73 m/s2to the right
This question applies Newton's Second Law of Motion, which states that force equals mass times acceleration (F = ma). Given a net force (F) of 1.6 N and a mass (m) of 2.2 kg, the acceleration (a) can be calculated by dividing the force by the mass. Therefore, a = 1.6 N / 2.2 kg ≈ 0.73 m/s². Since the net force is directed to the right, the acceleration of the object will also be to the right.
Question 6: Which of the following type of error is least likely to affect the measured value for a horizontal angle?
- Instrument
- Environment
- Terrain (Correct answer)
- Personnel
Correct answer: Terrain
Errors in horizontal angle measurement are primarily influenced by the instrument's calibration and stability, environmental factors like temperature and atmospheric refraction, and human factors during observation. Terrain, while affecting the ease of setting up the instrument and visibility, does not directly introduce errors into the angular measurement itself once the instrument is properly leveled and sighted. Its impact is more on the practicality of fieldwork rather than the precision of the angle reading.
Question 7: Which of the following scenarios can be modeled mathematically?
- Flow of water through a watershed
- Migration of a pollutant through a groundwater aquifer
- Dispersion of particulates through the air
- All of the above (Correct answer)
Correct answer: All of the above
Mathematical modeling is a powerful tool used to understand and predict the behavior of complex systems in various fields. The flow of water through a watershed, the migration of pollutants through groundwater, and the dispersion of particulates through the air are all physical processes governed by scientific principles. These principles can be translated into mathematical equations, allowing engineers and scientists to simulate, analyze, and forecast their behavior, making all these scenarios suitable for mathematical modeling.
Question 8: For which of the following is a Digital Terrain Modeling (DTM) application most useful?
- Planning flight lines
- Generating high quality cartographic contours (Correct answer)
- Setting slope stakes
- All of the above
Correct answer: Generating high quality cartographic contours
A Digital Terrain Model (DTM) is a digital representation of a terrain surface, typically as a grid or triangulated irregular network (TIN) of elevation points. Its primary and most direct application is to accurately represent the Earth's surface, which is then used to derive various topographic features. Among the given options, generating high-quality and precise contour lines for maps and engineering designs is a fundamental and highly useful application of DTMs.
Question 9: 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?
- 1,393 (Correct answer)
- 12,640
- 37,600
- None of the above
Correct answer: 1,393
This question requires calculating the volume of excavation between two cross-sections using the average end area method. The formula is V = L * (A1 + A2) / 2, where L is the distance between sections, and A1 and A2 are the cross-sectional areas. Given L = 100 ft, A1 = 420 sqft, and A2 = 332 sqft, the volume in cubic feet is 100 * (420 + 332) / 2 = 37,600 cubic feet. Converting this to cubic yards by dividing by 27 (since 1 cubic yard = 27 cubic feet) yields 37600 / 27 ≈ 1392.59, which rounds to 1,393 cubic yards.
Question 10: What is the sum of the exterior angles of an eight-sided traverse?
- 180°
- 1,440°
- 1,800° (Correct answer)
- None of the above
Correct answer: 1,800°
For an n-sided polygon, the sum of its interior angles is given by the formula (n-2) * 180°. For an eight-sided traverse, the sum of interior angles is (8-2) * 180° = 6 * 180° = 1080°. If 'exterior angles' refers to the explementary angles (360° - interior angle) at each vertex, then the sum of the exterior angles is n * 360° - (sum of interior angles). Therefore, for an eight-sided traverse, the sum is 8 * 360° - 1080° = 2880° - 1080° = 1800°.
Question 11: From which of the following conditions do structural forces originate? 1. Point loads 2. Uniform loads 3. Compression 4. Non-uniformly distributed loads 5. Tension 6. Moments
- 1, 2
- 1, 3, 4
- 2, 4 ,5, 6
- 1, 2, 4, 6 (Correct answer)
Correct answer: 1, 2, 4, 6
Structural forces originate from various types of loads and moments applied to a structure. Point loads are concentrated forces, uniform loads are distributed evenly, and non-uniformly distributed loads vary in intensity, all representing external applications of force. Moments are rotational forces that also induce stresses. Compression and tension, however, are internal stresses or forces *within* a material that result from these external loads, rather than being the origin of the forces themselves.
Question 12: Which of the following philosophies is described as follows: “If the behavior of a structure is linearly elastic, the forces acting on it may be separated, and the structure analyzed for separate cases. The final results are found by summing the individual results.”
- Castigliano’s First Theorem
- Principle of Superposition (Correct answer)
- Clapeyron’s Equation
- None of the above
Correct answer: Principle of Superposition
The Principle of Superposition states that for a linearly elastic structure subjected to multiple loads, the total response (such as deflection, stress, or internal forces) can be determined by summing the responses caused by each load acting independently. This principle greatly simplifies structural analysis by allowing complex loading scenarios to be broken down into simpler, manageable cases. It is a fundamental concept in structural mechanics, applicable when material behavior is linear and deflections are small.
Question 13: Which of the following statements regarding concrete used as a building material are generally considered to be correct? 1. Commonly composed of water, cement, aggregate, and admixtures 2. Design criteria is established by the American Society of Civil Engineers (ASCE) 3. Concrete strength is normally tested at 28 days 4. Concrete mixes vary by specific use requirements
- 1, 2
- 1, 3
- 1, 2, 3
- 1, 3, 4 (Correct answer)
Correct answer: 1, 3, 4
Concrete is a composite material commonly composed of water, cement, aggregate, and various admixtures to enhance its properties (1). Its strength is typically tested at 28 days, as this is when it reaches a significant portion of its design strength (3). Furthermore, concrete mixes are highly variable and specifically designed to meet the performance requirements of different applications and environmental conditions (4). While ASCE sets broader civil engineering standards, the American Concrete Institute (ACI) is primarily responsible for concrete design criteria.
Question 14: What significant concrete technology advancement was made in the 1930s to provide relief from internal pressure?
- Cement-based composites
- Air-entrainment (Correct answer)
- Self-compacting concrete
- Non-destructive testing
Correct answer: Air-entrainment
Air-entrainment was a significant concrete technology advancement made in the 1930s. This process involves incorporating microscopic air bubbles into the concrete mix, which provides relief from internal pressure caused by the expansion of freezing water within the concrete's pores. These tiny air voids act as pressure-relief valves, significantly improving the concrete's durability and resistance to damage in cold climates subjected to freeze-thaw cycles.
Question 15: The Concrete Reinforcing Steel Institute (CRSI) recommends that a reinforcing bar (rebar) inspection program be established for all construction projects where reinforcing bars are used. An appropriate checklist for rebar inspection is recommended that includes which of the following items, in addition to those listed below? - Construction schedule - Certified mill test and/or bar coating report - Material shipment schedule - Potential concerns (possible discrepancies, drawing errors) - Critical tolerances - Periodic meeting schedule
- Independent testing laboratory reports
- Approved placing drawings
- A and B (Correct answer)
- None of the above
Correct answer: A and B
A comprehensive rebar inspection program requires verification of both the material itself and its proper placement according to design specifications. Independent testing laboratory reports confirm the quality and properties of the rebar material, ensuring it meets required standards. Approved placing drawings are essential to ensure that the rebar is installed in the correct locations, orientations, and quantities as specified in the structural design, both being crucial for structural integrity and safety.
Question 16: What is the porosity of a dry soil sample that weighs 950 g and has an undisturbed volume of 900 cm3? Assume a particle density of 2.65 g/cm3.
- 56%
- 60% (Correct answer)
- 62%
- Not enough information provided
Correct answer: 60%
Porosity (n) is calculated as the ratio of the volume of voids (Vv) to the total volume (Vt) of the soil sample. First, calculate the volume of solids (Vs) using the given mass (950 g) and particle density (2.65 g/cm³), which is approximately 358.49 cm³. Then, find the volume of voids by subtracting Vs from the total volume (900 cm³), yielding 541.51 cm³. Finally, porosity = (541.51 cm³ / 900 cm³) * 100% ≈ 60.17%, which rounds to 60%.
Question 17: When evaluating the progress of a project using the Earned Value Management approach, which of the following cases is a project considered profitable?
- Actual budget spent is less than or equal to the earned value (Correct answer)
- Actual cost is greater than the earned value
- Budgeted cost of work performed is less than the budgeted cost of work scheduled
- A. and C.
Correct answer: Actual budget spent is less than or equal to the earned value
In Earned Value Management, a project is considered profitable or performing efficiently when the Cost Performance Index (CPI) is greater than or equal to 1. CPI is calculated as Earned Value (EV) divided by Actual Cost (AC). If the actual budget spent (Actual Cost) is less than or equal to the earned value (the value of work actually performed), it indicates that the project is either on or under budget for the work completed, signifying financial health and efficiency.
Question 18: What is the degree of saturation of a 600 cm3 soil sample given the following values from its three-phase diagram? Volume of air: 100 cm3; volume of solids: 320 cm3.
- 30%
- 64.3% (Correct answer)
- 87.5%
- Not enough information provided
Correct answer: 64.3%
The degree of saturation (S) is the ratio of the volume of water (Vw) to the volume of voids (Vv), expressed as a percentage. Given the total volume (600 cm³), volume of air (100 cm³), and volume of solids (320 cm³), first calculate the volume of voids: Vv = Total Volume - Volume of Solids = 600 cm³ - 320 cm³ = 280 cm³. Then, find the volume of water: Vw = Volume of Voids - Volume of Air = 280 cm³ - 100 cm³ = 180 cm³. Finally, S = (180 cm³ / 280 cm³) * 100% ≈ 64.3%.
Question 19: Which of the following is considered to be a basic connection types for beams, columns, trusses, and joists?
- Pin
- Roller
- Fixed
- All of the above (Correct answer)
Correct answer: All of the above
In structural analysis, pin, roller, and fixed connections are the three fundamental types of supports or connections used to model how structural elements interact. Each type imposes different constraints on the translation and rotation of the connected members. Pin connections allow rotation but prevent translation, roller connections allow both rotation and translation in one direction, and fixed connections prevent both translation and rotation, making all three basic connection types.
Question 20: Which of the following theories is used to analyze active and passive lateral earth pressure on retaining walls?
- Rankine
- Coulomb
- Kinetic
- A. and B. (Correct answer)
Correct answer: A. and B.
The Rankine and Coulomb theories are the two classical and most widely used methods in geotechnical engineering for analyzing active and passive lateral earth pressures on retaining walls. Rankine's theory is simpler, assuming a frictionless wall and a planar failure surface, while Coulomb's theory is more general, accounting for wall friction and a non-planar (wedge-shaped) failure surface. Both are fundamental for designing retaining structures.
Which of the following statements is NOT true?