Idaho Engineer Intern / Fundamentals
of Engineering Examination Practice
Exam 2026 | 100 Questions & Answers
with Detailed Rationales | Complete
Exam Prep & Study Guide
1. A steel member carries an axial tensile load of 180 kN and has a gross cross-
sectional area of 2,400 mm². What is the average normal stress?
A. 60 MPa
B. 75 MPa
C. 90 MPa
D. 120 MPa
Answer: 75 MPa
Rationale: Average normal stress is ς = P/A = 180,000 N / 2,400 mm² = 75
N/mm² = 75 MPa.*
2. A simply supported beam spans 8 m and carries a uniformly distributed
load of 12 kN/m over its entire span. What is the maximum bending
moment?
,A. 48 kN·m
B. 72 kN·m
C. 96 kN·m
D. 192 kN·m
Answer: 96 kN·m
Rationale: For a simply supported beam with a full-span uniform load, Mmax =
wL²/8 = 12(8²)/8 = 96 kN·m.
3. A 20-kg object is accelerated horizontally at 4 m/s². Neglecting friction,
what horizontal force is required?
A. 5 N
B. 20 N
C. 80 N
D. 160 N
Answer: 80 N
Rationale: Newton's second law gives F = ma = 20(4) = 80 N.
4. A fluid flows through a pipe at 0.15 m³/s. If the pipe diameter is 0.30 m,
what is the average velocity?
A. 0.85 m/s
B. 1.50 m/s
C. 2.12 m/s
D. 3.40 m/s
Answer: 2.12 m/s
Rationale: The cross-sectional area is A = πD²/4 = 0.07069 m². Thus V = Q/A =
0.15/0.07069 ≈ 2.12 m/s.
5. A closed system receives 500 kJ of heat and performs 180 kJ of boundary
work. What is the change in internal energy?
,A. 320 kJ
B. 500 kJ
C. 680 kJ
D. −320 kJ
Answer: 320 kJ
Rationale: For a closed system, ΔU = Q − W = 500 − 180 = 320 kJ.
6. A three-phase balanced load draws 40 A from a 480-V system at 0.85
power factor. What is the approximate real power?
A. 14.1 kW
B. 28.3 kW
C. 33.9 kW
D. 40.8 kW
Answer: 28.3 kW
Rationale: Three-phase real power is P = √3 V_L I_L pf = 1.732(480)(40)(0.85) ≈
28.3 kW.
7. An AC circuit has resistance of 30 Ω and inductive reactance of 40 Ω. What
is the magnitude of impedance?
A. 10 Ω
B. 35 Ω
C. 50 Ω
D. 70 Ω
Answer: 50 Ω
Rationale: For a series RL circuit, |Z| = √(R² + X_L²) = √(30² + 40²) = 50 Ω.
8. A concrete mix has a water-cement ratio of 0.45 by mass. If 360 kg of
cement is used, how much mixing water is required?
, A. 162 kg
B. 180 kg
C. 240 kg
D. 810 kg
Answer: 162 kg
Rationale: Water-cement ratio = water/cement, so water = 0.45(360) = 162 kg.
9. A survey line has a horizontal distance of 800 m and a bearing of N 35° E.
What is its eastward component?
A. 327 m
B. 459 m
C. 655 m
D. 800 m
Answer: 459 m
Rationale: For a quadrant bearing measured east of north, the east component
is L sin 35° = 800(0.5736) ≈ 459 m.
10.A population follows the model P(t) = 20,000e^0.018t, where t is measured
in years. What is the approximate population after 10 years?
A. 23,600
B. 24,000
C. 25,000
D. 28,000
Answer: 23,940
Rationale: P(10) = 20,000e^0.18 ≈ 20,000(1.1972) ≈ 23,944.
11.What is the derivative of f(x) = x² ln x for x > 0?
A. 2x ln x
B. x + 2x ln x
of Engineering Examination Practice
Exam 2026 | 100 Questions & Answers
with Detailed Rationales | Complete
Exam Prep & Study Guide
1. A steel member carries an axial tensile load of 180 kN and has a gross cross-
sectional area of 2,400 mm². What is the average normal stress?
A. 60 MPa
B. 75 MPa
C. 90 MPa
D. 120 MPa
Answer: 75 MPa
Rationale: Average normal stress is ς = P/A = 180,000 N / 2,400 mm² = 75
N/mm² = 75 MPa.*
2. A simply supported beam spans 8 m and carries a uniformly distributed
load of 12 kN/m over its entire span. What is the maximum bending
moment?
,A. 48 kN·m
B. 72 kN·m
C. 96 kN·m
D. 192 kN·m
Answer: 96 kN·m
Rationale: For a simply supported beam with a full-span uniform load, Mmax =
wL²/8 = 12(8²)/8 = 96 kN·m.
3. A 20-kg object is accelerated horizontally at 4 m/s². Neglecting friction,
what horizontal force is required?
A. 5 N
B. 20 N
C. 80 N
D. 160 N
Answer: 80 N
Rationale: Newton's second law gives F = ma = 20(4) = 80 N.
4. A fluid flows through a pipe at 0.15 m³/s. If the pipe diameter is 0.30 m,
what is the average velocity?
A. 0.85 m/s
B. 1.50 m/s
C. 2.12 m/s
D. 3.40 m/s
Answer: 2.12 m/s
Rationale: The cross-sectional area is A = πD²/4 = 0.07069 m². Thus V = Q/A =
0.15/0.07069 ≈ 2.12 m/s.
5. A closed system receives 500 kJ of heat and performs 180 kJ of boundary
work. What is the change in internal energy?
,A. 320 kJ
B. 500 kJ
C. 680 kJ
D. −320 kJ
Answer: 320 kJ
Rationale: For a closed system, ΔU = Q − W = 500 − 180 = 320 kJ.
6. A three-phase balanced load draws 40 A from a 480-V system at 0.85
power factor. What is the approximate real power?
A. 14.1 kW
B. 28.3 kW
C. 33.9 kW
D. 40.8 kW
Answer: 28.3 kW
Rationale: Three-phase real power is P = √3 V_L I_L pf = 1.732(480)(40)(0.85) ≈
28.3 kW.
7. An AC circuit has resistance of 30 Ω and inductive reactance of 40 Ω. What
is the magnitude of impedance?
A. 10 Ω
B. 35 Ω
C. 50 Ω
D. 70 Ω
Answer: 50 Ω
Rationale: For a series RL circuit, |Z| = √(R² + X_L²) = √(30² + 40²) = 50 Ω.
8. A concrete mix has a water-cement ratio of 0.45 by mass. If 360 kg of
cement is used, how much mixing water is required?
, A. 162 kg
B. 180 kg
C. 240 kg
D. 810 kg
Answer: 162 kg
Rationale: Water-cement ratio = water/cement, so water = 0.45(360) = 162 kg.
9. A survey line has a horizontal distance of 800 m and a bearing of N 35° E.
What is its eastward component?
A. 327 m
B. 459 m
C. 655 m
D. 800 m
Answer: 459 m
Rationale: For a quadrant bearing measured east of north, the east component
is L sin 35° = 800(0.5736) ≈ 459 m.
10.A population follows the model P(t) = 20,000e^0.018t, where t is measured
in years. What is the approximate population after 10 years?
A. 23,600
B. 24,000
C. 25,000
D. 28,000
Answer: 23,940
Rationale: P(10) = 20,000e^0.18 ≈ 20,000(1.1972) ≈ 23,944.
11.What is the derivative of f(x) = x² ln x for x > 0?
A. 2x ln x
B. x + 2x ln x
