Fundamentals of Engineering (FE) Exam
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1. A beam is simply supported at both ends and subjected to a uniform
distributed load. Which of the following expressions correctly
represents the maximum bending moment in the beam?
𝑤𝐿2
A. 𝑀max =
8
𝑤𝐿2
B. 𝑀max =
12
𝑤𝐿2
C. 𝑀max =
16
𝑤𝐿2
D. 𝑀max =
24
Answer: A
Rationale: For a simply supported beam with a uniform distributed load
𝑤over a span 𝐿, the maximum bending moment occurs at midspan and is
𝑤𝐿2
calculated as 𝑀max = .
8
2. The energy stored in a spring is proportional to which of the following?
,A. The square of the displacement
B. The displacement
C. The cube of the displacement
D. The fourth power of the displacement
Answer: A
Rationale: The elastic potential energy stored in a linear spring is given by
1
𝑈 = 𝑘𝑥 2 , showing that energy is proportional to the square of the
2
displacement 𝑥.
3. Water flows through a pipe with a diameter of 0.1 m at a velocity of 2
m/s. What is the volumetric flow rate?
A. 0.0157 m³/s
B. 0.002 m³/s
C. 0.0314 m³/s
D. 0.1256 m³/s
Answer: C
Rationale: Volumetric flow rate 𝑄is 𝑄 = 𝐴𝑣 = 𝜋𝑑2 /4 ⋅ 𝑣 = 𝜋(0.1)2 /4 ⋅ 2 =
0.0157𝜋 ≈ 0.0314 m³/s.
4. For a first-order reaction 𝐴 → 𝐵, the half-life 𝑡1/2 is:
A. Dependent on initial concentration
B. Independent of initial concentration
C. Directly proportional to the square of the initial concentration
D. Inversely proportional to the initial concentration
Answer: B
0.693
Rationale: For first-order reactions, 𝑡1/2 = , which is independent of the
𝑘
initial concentration of reactant.
, 5. A cylindrical tank contains water to a height of 5 m. What is the
hydrostatic pressure at the bottom? (Take 𝜌 = 1000 kg/m³, 𝑔 =
9.81 m/s²)
A. 24.5 kPa
B. 49.05 kPa
C. 98.1 kPa
D. 500 kPa
Answer: B
Rationale: Hydrostatic pressure 𝑃 = 𝜌𝑔ℎ = 1000 ⋅ 9.81 ⋅ 5 = 49050 Pa =
49.05 kPa.
6. A solid sphere of mass 𝑚and radius 𝑅rolls without slipping down an
incline. Its acceleration is:
A. 𝑔sin𝜃
2
B. 𝑔sin𝜃
3
5
C. 𝑔sin𝜃
7
1
D. 𝑔sin𝜃
2
Answer: C
𝑔sin𝜃
Rationale: For a solid sphere, 𝑎 = , where 𝑘 = 𝐼/𝑚𝑅 2 = 2/5. Thus,
1+𝑘
𝑎 = 𝑔sin𝜃/(1 + 2/5) = 5/7𝑔sin𝜃.
7. In thermodynamics, which of the following processes occurs at
constant temperature?
A. Adiabatic
B. Isobaric
C. Isochoric
D. Isothermal
, Answer: D
Rationale: An isothermal process is defined as a process in which the
temperature of the system remains constant.
8. The moment of inertia of a rectangular plate about an axis passing
through its centroid and parallel to the base is:
1
A. 𝑏ℎ3
12
1
B. 𝑏ℎ3
3
1
C. 𝑏ℎ3
4
1
D. 𝑏ℎ3
6
Answer: A
Rationale: The standard formula for a rectangle about its centroidal axis
1
along the base is 𝐼 = 𝑏ℎ3 , where 𝑏is width and ℎis height.
12
9. Which of the following is the unit of dynamic viscosity in SI?
A. Pa·s
B. N·m
C. kg/m²·s
D. m²/s
Answer: A
Rationale: Dynamic viscosity 𝜇is measured in Pa·s (Pascal-second),
equivalent to N·s/m² in SI units.
10. A simply supported beam with a central point load 𝑃has which
maximum shear force?
A. 𝑃
B. 𝑃/2
C. 𝑃/4
D. 𝑃/8
Exam Practice Questions And Correct
Answers (Verified Answers) Plus
Rationale 2026 Q&A| Instant Download
1. A beam is simply supported at both ends and subjected to a uniform
distributed load. Which of the following expressions correctly
represents the maximum bending moment in the beam?
𝑤𝐿2
A. 𝑀max =
8
𝑤𝐿2
B. 𝑀max =
12
𝑤𝐿2
C. 𝑀max =
16
𝑤𝐿2
D. 𝑀max =
24
Answer: A
Rationale: For a simply supported beam with a uniform distributed load
𝑤over a span 𝐿, the maximum bending moment occurs at midspan and is
𝑤𝐿2
calculated as 𝑀max = .
8
2. The energy stored in a spring is proportional to which of the following?
,A. The square of the displacement
B. The displacement
C. The cube of the displacement
D. The fourth power of the displacement
Answer: A
Rationale: The elastic potential energy stored in a linear spring is given by
1
𝑈 = 𝑘𝑥 2 , showing that energy is proportional to the square of the
2
displacement 𝑥.
3. Water flows through a pipe with a diameter of 0.1 m at a velocity of 2
m/s. What is the volumetric flow rate?
A. 0.0157 m³/s
B. 0.002 m³/s
C. 0.0314 m³/s
D. 0.1256 m³/s
Answer: C
Rationale: Volumetric flow rate 𝑄is 𝑄 = 𝐴𝑣 = 𝜋𝑑2 /4 ⋅ 𝑣 = 𝜋(0.1)2 /4 ⋅ 2 =
0.0157𝜋 ≈ 0.0314 m³/s.
4. For a first-order reaction 𝐴 → 𝐵, the half-life 𝑡1/2 is:
A. Dependent on initial concentration
B. Independent of initial concentration
C. Directly proportional to the square of the initial concentration
D. Inversely proportional to the initial concentration
Answer: B
0.693
Rationale: For first-order reactions, 𝑡1/2 = , which is independent of the
𝑘
initial concentration of reactant.
, 5. A cylindrical tank contains water to a height of 5 m. What is the
hydrostatic pressure at the bottom? (Take 𝜌 = 1000 kg/m³, 𝑔 =
9.81 m/s²)
A. 24.5 kPa
B. 49.05 kPa
C. 98.1 kPa
D. 500 kPa
Answer: B
Rationale: Hydrostatic pressure 𝑃 = 𝜌𝑔ℎ = 1000 ⋅ 9.81 ⋅ 5 = 49050 Pa =
49.05 kPa.
6. A solid sphere of mass 𝑚and radius 𝑅rolls without slipping down an
incline. Its acceleration is:
A. 𝑔sin𝜃
2
B. 𝑔sin𝜃
3
5
C. 𝑔sin𝜃
7
1
D. 𝑔sin𝜃
2
Answer: C
𝑔sin𝜃
Rationale: For a solid sphere, 𝑎 = , where 𝑘 = 𝐼/𝑚𝑅 2 = 2/5. Thus,
1+𝑘
𝑎 = 𝑔sin𝜃/(1 + 2/5) = 5/7𝑔sin𝜃.
7. In thermodynamics, which of the following processes occurs at
constant temperature?
A. Adiabatic
B. Isobaric
C. Isochoric
D. Isothermal
, Answer: D
Rationale: An isothermal process is defined as a process in which the
temperature of the system remains constant.
8. The moment of inertia of a rectangular plate about an axis passing
through its centroid and parallel to the base is:
1
A. 𝑏ℎ3
12
1
B. 𝑏ℎ3
3
1
C. 𝑏ℎ3
4
1
D. 𝑏ℎ3
6
Answer: A
Rationale: The standard formula for a rectangle about its centroidal axis
1
along the base is 𝐼 = 𝑏ℎ3 , where 𝑏is width and ℎis height.
12
9. Which of the following is the unit of dynamic viscosity in SI?
A. Pa·s
B. N·m
C. kg/m²·s
D. m²/s
Answer: A
Rationale: Dynamic viscosity 𝜇is measured in Pa·s (Pascal-second),
equivalent to N·s/m² in SI units.
10. A simply supported beam with a central point load 𝑃has which
maximum shear force?
A. 𝑃
B. 𝑃/2
C. 𝑃/4
D. 𝑃/8
