EI Fundamentals of Engineering 2

Question 1

A simply supported beam of length L carries a uniformly distributed load w. What is the maximum bending moment?

Accepted Answer

wL²/8

Answer

For a simply supported beam with UDL, the maximum bending moment at midspan is wL²/8.

Question 2

The Laplace transform of the unit step function u(t) is:

Accepted Answer

1/s

Answer

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

Question 3

In a Carnot heat engine operating between reservoirs at 800 K and 400 K, what is the maximum thermal efficiency?

Accepted Answer

50%

Answer

Carnot efficiency = 1 − T_L/T_H = 1 − 400/800 = 0.50 = 50%.

Question 4

Which law states that the total pressure of a gas mixture equals the sum of partial pressures of each component?

Accepted Answer

Dalton's Law

Answer

Dalton's Law of partial pressures states that total pressure equals the sum of each component's partial pressure.

Question 5

A 10 Ω resistor and a 40 Ω resistor are connected in parallel. What is the equivalent resistance?

Accepted Answer

8 Ω

Answer

Parallel resistance: 1/R = 1/10 + 1/40 = 5/40, so R = 8 Ω.

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