Free PE: Principles and Practice of Engineering Exam Questions and Answers
The professional engineering licensure examination, taken in a chosen discipline — civil, mechanical, electrical and others — after the FE exam and the required experience.
Candidates comparing PE exam dumps, ExamTopics and other PE practice tests use this page for the answers and explanations behind each question. Download the free PE PDF, then sit the timed PE exam simulation before booking with NCEES.
Last updated: October 3, 2026
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Question #1
A simply supported beam spans 6 m and carries a uniform load of 10 kN/m. What is the maximum bending moment?
Correct answer: B
Explanation
M = wL^2/8 = 10 x 36 / 8 = 45 kN-m.
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Question #2
Using the rational method, C = 0.5, rainfall intensity 100 mm/h, drainage area 10 ha. What is the peak discharge (Q = CiA/360 in m^3/s)?
Correct answer: C
Explanation
Q = 0.5 x 100 x 10 / 360 = 1.39 m^3/s.
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Question #3
A 5 m deep saturated clay layer (unit weight 19 kN/m^3) lies below a water table at the ground surface. What is the effective vertical stress at its base (use 9.81 kN/m^3 for water)?
Correct answer: B
Explanation
Total stress 95 kPa minus pore pressure 49 kPa = 46 kPa.
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Question #4
For Euler buckling, what is the theoretical effective length factor K of a column fixed at the base and free at the top?
Correct answer: D
Explanation
A cantilever column has K = 2.0.
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Question #5
In a CPM network, which path determines the minimum project duration?
Correct answer: C
Explanation
The longest-duration path has zero float and sets the project duration.
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Question #6
2 kg of air (R = 0.287 kJ/kg-K) is in a 0.5 m^3 tank at 300 K. What is the pressure?
Correct answer: A
Explanation
P = mRT/V = 2 x 0.287 x 300 / 0.5 = 344 kPa.
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Question #7
What is the Carnot efficiency of an engine operating between 600 K and 300 K reservoirs?
Correct answer: C
Explanation
1 - 300/600 = 0.5.
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Question #8
A pump delivers 0.02 m^3/s of water against a 30 m total head at 80% efficiency. What shaft power is required?
Correct answer: D
Explanation
Hydraulic power is 1000 x 9.81 x 0.02 x 30 = 5.89 kW; divide by 0.8 for 7.36 kW.
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Question #9
A shaft transmits 10 kW at 1000 rpm. What is the torque?
Correct answer: C
Explanation
T = P/omega = 10000 / 104.7 = 95.5 N-m.
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Question #10
Resistors of 10, 20 and 20 ohms are connected in parallel across 12 V. What is the total current?
Correct answer: D
Explanation
Parallel resistance is 5 ohms, so I = 12/5 = 2.4 A.
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