Fundamentals of Engineering FE Knowledge 3

Question 1

Which of the following is the correct expression for the Laplace transform of a unit step function u(t)?

Accepted Answer

1/s

Answer

The Laplace transform of the unit step function u(t) is 1/s.

Question 2

A hollow cylindrical pressure vessel has an inner radius of 0.5 m, wall thickness of 25 mm, and internal pressure of 2 MPa. What is the hoop stress?

Accepted Answer

40 MPa

Answer

Hoop stress σ_h = pr/t = (2×10⁶ × 0.5)/0.025 = 40 MPa.

Question 3

In probability theory, two events A and B are independent if:

Accepted Answer

P(A ∩ B) = P(A) × P(B)

Answer

Events are independent when the joint probability equals the product of individual probabilities.

Question 4

The First Law of Thermodynamics for a closed system states:

Accepted Answer

Change in internal energy equals heat added minus work done by system

Answer

ΔU = Q − W: the change in internal energy equals heat added to the system minus work done by the system.

Question 5

Which type of structural analysis method satisfies both equilibrium and compatibility?

Accepted Answer

Exact (complete) structural analysis

Answer

A complete structural analysis satisfies equilibrium (statics), compatibility (geometry of deformation), and constitutive relations simultaneously.

Fundamentals of Engineering Practice Test