SCE Engineering Sciences 2

Question 1

What is the moment of inertia of a rectangular cross-section about its centroidal axis?

Accepted Answer

bh³/12

Answer

The second moment of area for a rectangle about its centroidal horizontal axis is I = bh³/12, where b is width and h is height. This is fundamental for beam bending analysis.

Question 2

Bernoulli's equation assumes:

Accepted Answer

Steady, incompressible, inviscid flow along a streamline

Answer

Bernoulli's equation (P + ½ρv² + ρgh = constant) applies to steady, incompressible, inviscid flow along a streamline, representing conservation of energy in fluid flow.

Question 3

The Mohr's circle is used to determine:

Accepted Answer

Principal stresses and maximum shear stress

Answer

Mohr's circle is a graphical method to find principal stresses, maximum shear stress, and stress transformation on any inclined plane at a point in a stressed body.

Question 4

What is the Carnot efficiency of a heat engine operating between 600K and 300K?

Accepted Answer

50%

Answer

Carnot efficiency = 1 - T_cold/T_hot = 1 - 300/600 = 0.5 = 50%. This is the maximum theoretical efficiency for any heat engine operating between these temperatures.

Question 5

Poisson's ratio relates:

Accepted Answer

Lateral strain to axial strain

Answer

Poisson's ratio (ν) = -(lateral strain)/(axial strain). For most metals, ν ≈ 0.3. It indicates how much a material contracts laterally when stretched axially.

SCE Engineering Practice Test

SCE Engineering Practice Test

SCE Engineering Sciences 2