NCEES · FE
FE Civil practice questions with answers
15 free practice questions for the FE Civil Exam (FE), spread across the exam's topics. Try each one, then open the answer to see why every option is right or wrong.
Question 1 · Mathematics and Statistics
In how many different orders can 4 distinct tasks be performed?
- A24
- B16
- C4
- D10
Show answer and explanation
Answer: A) 24
- ACorrect. 4! = 4 × 3 × 2 × 1 = 24.
- BIncorrect. That's \(4^2\).
- CIncorrect. That's the number of tasks.
- DIncorrect. That's 4 + 3 + 2 + 1.
Question 2 · Ethics and Professional Practice
An engineer is the owner's resident engineer on a building project. Near the end of construction, the general contractor offers the engineer a cash gift to thank them for keeping inspections on schedule. Under the NCEES Model Rules of Professional Conduct, what should the engineer do?
- ADecline the gift, because licensees may not accept gratuities from contractors in connection with work for a client
- BAccept the gift if its value stays under a nominal amount and it is recorded in the project file
- CAccept the gift once the final inspection is complete, since it can no longer affect the engineer's judgment
- DAccept the gift and donate it to charity, so that the engineer receives no personal benefit from it
Show answer and explanation
Answer: A) Decline the gift, because licensees may not accept gratuities from contractors in connection with work for a client
The NCEES Model Rules bar licensees from soliciting or accepting gratuities, directly or indirectly, from contractors in connection with work for a client. There is no exception for small gifts, timing, or giving the money away.
- ACorrect. The Model Rules say licensees shall not solicit or accept gratuities, directly or indirectly, from contractors, their agents, or other parties in connection with work for employers or clients.
- BIncorrect. The Model Rules ban on gratuities from contractors has no dollar threshold, and writing it down in the file doesn't make accepting it allowed.
- CIncorrect. The gift is still tied to the engineer's work for the client, and accepting it after the work is done can still create a conflict and the appearance of one. The timing doesn't change the rule.
- DIncorrect. The rule covers gratuities accepted directly or indirectly. Taking the money and passing it on is still accepting a gratuity from the contractor.
Question 3 · Engineering Economics
At 7% interest, the present worth of $2,000 received at the end of each year for 10 years is about:
- A$10,000
- B$20,000, the sum of the payments
- C$14,047
- D$27,633, the future worth
Show answer and explanation
Answer: C) $14,047
- AIncorrect. That understates it.
- BIncorrect. That ignores discounting.
- CCorrect. \(P = A(P/A, 7\%, 10)\).
- DIncorrect. That's the future value.
Question 4 · Statics
A member pinned at both ends with no loads between its ends is a:
- ATwo-force member
- BThree-force member with a moment
- CZero-force member always
- DMechanism
Show answer and explanation
Answer: A) Two-force member
- ACorrect. Its force acts along the line joining the pins.
- BIncorrect. It carries only two equal and opposite forces.
- CIncorrect. It may carry axial force.
- DIncorrect. It's a two-force member.
Question 5 · Dynamics
The kinetic energy of a 1,000-kg car traveling at 20 m/s is:
- A200 kJ
- B20 kJ
- C400 kJ
- D10 kJ
Show answer and explanation
Answer: A) 200 kJ
- ACorrect. \(\tfrac{1}{2}mv^2 = \tfrac{1}{2}(1{,}000)(400)\).
- BIncorrect. Square the velocity.
- CIncorrect. Include the ½ factor.
- DIncorrect. Recheck the calculation.
Question 6 · Mechanics of Materials
If a shaft's length doubles with the same torque, material and section, its angle of twist:
- AHalves
- BQuadruples
- CDoubles
- DStays the same
Show answer and explanation
Answer: C) Doubles
- AIncorrect. Longer shafts twist more.
- BIncorrect. Twist is linear in L.
- CCorrect. \(\phi = TL/(GJ)\) is proportional to L.
- DIncorrect. Twist is proportional to L.
Question 7 · Materials
A steel member is loaded and unloaded many times, and its peak stress never reaches the yield stress. Which failure mechanism can still cause it to fail?
- ACreep at room temperature
- BFatigue
- CImmediate ductile yielding
- DStress relaxation
Show answer and explanation
Answer: B) Fatigue
Cyclic stresses below yield but above the endurance limit start cracks that grow over many cycles until the member fractures. This is fatigue.
- AIncorrect. Creep is time-dependent strain under sustained load. It matters for steel only at high temperatures, and it isn't driven by repeated load cycles.
- BCorrect. Repeated stress cycles above the endurance limit can start microscopic cracks that grow a little with each cycle until the remaining section fractures, even though the peak stress stays below yield.
- CIncorrect. Yielding needs the stress to reach the yield stress, and here the peak stress always stays below it.
- DIncorrect. Stress relaxation is a gradual loss of stress under constant strain. It is not a fracture mechanism caused by cyclic loading.
Question 8 · Fluid Mechanics
For a sharp-crested rectangular weir, flow rate varies roughly with head H to the power of:
- A1.5
- B1.0
- C2.5
- D0.5
Show answer and explanation
Answer: A) 1.5
- ACorrect. \(Q \propto H^{3/2}\).
- BIncorrect. That would be linear.
- CIncorrect. That's for a V-notch weir.
- DIncorrect. That's too low.
Question 9 · Surveying
A bearing of N 30° W corresponds to an azimuth of:
- A30°, the bearing angle
- B330°
- C210°, the back azimuth of 30°
- D300°
Show answer and explanation
Answer: B) 330°
- AIncorrect. That's N 30° E.
- BCorrect. 360° − 30°.
- CIncorrect. That's S 30° W.
- DIncorrect. That isn't the conversion.
Question 10 · Water Resources and Environmental Engineering
In Manning's equation, flow velocity increases when the roughness coefficient n:
- AEquals the slope
- BIncreases toward a rougher channel lining
- CStays fixed regardless of slope
- DDecreases
Show answer and explanation
Answer: D) Decreases
- AIncorrect. n is a roughness coefficient.
- BIncorrect. Rougher channels are slower.
- CIncorrect. Lower n gives higher velocity.
- DCorrect. Velocity is inversely proportional to n.
Question 11 · Water Resources and Environmental Engineering
Nitrification in wastewater treatment converts:
- ANitrate to nitrogen gas
- BAmmonia to nitrate
- COrganic carbon to methane
- DPhosphate to phosphorus gas
Show answer and explanation
Answer: B) Ammonia to nitrate
- AIncorrect. That's denitrification.
- BCorrect. Via nitrite, by aerobic bacteria.
- CIncorrect. That's anaerobic digestion.
- DIncorrect. It converts ammonia to nitrate.
Question 12 · Structural Engineering
Under ASCE 7-type building code provisions, a reduction of the uniformly distributed floor live load is generally permitted for a structural member when:
- AThe member's influence area (K_LL × tributary area) is large enough to meet the code threshold
- BThe member's tributary area is small, so that only a few occupants can load it
- CThe member supports a public assembly floor, where crowds rarely fill the entire space
- DThe member supports an ordinary flat roof, using the same equation applied to floors
Show answer and explanation
Answer: A) The member's influence area (K_LL × tributary area) is large enough to meet the code threshold
Codes allow live load reduction for members with large influence areas (K_LL·A_T above the code threshold), because full live load over a large area at the same time is unlikely. Assembly floors are generally excluded, and roofs follow separate rules.
- ACorrect. A member that collects load from a large area is unlikely to see the full design live load over all of it at once. ASCE 7 allows a reduction when K_LL·A_T is at least 400 ft² (37.16 m²).
- BIncorrect. Small areas are the case where the full live load intensity is most likely, so no reduction is given. The reduction grows as the influence area gets larger.
- CIncorrect. Assembly occupancies are generally not eligible for live load reduction, because the whole floor can actually be crowded at once.
- DIncorrect. Roof live loads have their own reduction provisions, separate from the floor live load reduction equation.
Question 13 · Geotechnical Engineering
A dry cohesionless infinite slope at 25° has φ = 35°. The factor of safety against sliding is about:
- A2.00
- B1.40
- C0.67
- D1.50
Show answer and explanation
Answer: D) 1.50
- AIncorrect. Recheck the tangents.
- BIncorrect. Use tangents, not the ratio of angles.
- CIncorrect. That's inverted.
- DCorrect. FS = tan 35°/tan 25° = 0.700/0.466.
Question 14 · Transportation Engineering
A horizontal highway curve has a radius of 1,200 ft and a design speed of 60 mi/h. If the side friction factor is 0.12, the superelevation rate needed is closest to:
- A0.12
- B0.20
- C0.08
- D0.32
Show answer and explanation
Answer: C) 0.08
For a point-mass vehicle on a curve, e + f = V²/(15R) with V in mi/h and R in ft. Here that is 0.20, so e = 0.20 − 0.12 = 0.08.
- AIncorrect. This assumes the superelevation equals the side friction factor. The two together must equal V²/(15R) = 0.20, so e = 0.20 − 0.12 = 0.08, not 0.12.
- BIncorrect. 0.20 is the combined e + f from V²/(15R) = 3,600/18,000. Side friction supplies 0.12 of it, so this is not the superelevation alone.
- CCorrect. e + f = V²/(15R) = 60²/(15 × 1,200) = 0.20, so e = 0.20 − 0.12 = 0.08.
- DIncorrect. This adds the friction factor to V²/(15R). Friction resists the sideways force, so it lowers the superelevation needed instead of raising it.
Question 15 · Construction Engineering
A performance bond protects the owner by guaranteeing:
- AThat the bid was submitted in good faith
- BPayment of subcontractors and suppliers
- CCompletion of the contract work
- DThe project's profitability
Show answer and explanation
Answer: C) Completion of the contract work
- AIncorrect. That's a bid bond.
- BIncorrect. That's a payment bond.
- CCorrect. The surety steps in if the contractor defaults.
- DIncorrect. It guarantees completion.
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Original questions written from the official exam outline. Not affiliated with NCEES; never copied from the real exam.