SCE Engineering Sciences 3

Question 1

What is the shear stress distribution in a circular shaft under torsion?

Accepted Answer

Linear, zero at center and maximum at the surface

Answer

In a circular shaft under torsion, shear stress varies linearly from zero at the neutral axis (center) to maximum at the outer surface: τ = Tr/J, where r is the radial distance.

Question 2

Euler's buckling load for a pin-ended column is:

Accepted Answer

π²EI/L²

Answer

For a pin-ended (simply supported) column, Pcr = π²EI/L², where E is Young's modulus, I is moment of inertia, and L is the column length. This is the critical load causing elastic instability.

Question 3

The Navier-Stokes equations describe:

Accepted Answer

The motion of viscous fluid substances

Answer

The Navier-Stokes equations are the fundamental PDEs governing viscous fluid motion, expressing Newton's second law for fluids with pressure, viscous, and body forces.

Question 4

In a simple supported beam with a uniformly distributed load, the maximum bending moment occurs at:

Accepted Answer

The midspan

Answer

For a simply supported beam with UDL, the maximum bending moment M_max = wL²/8 occurs at midspan, where the shear force is zero.

Question 5

The second law of thermodynamics states that:

Accepted Answer

Entropy of an isolated system never decreases

Answer

The second law states that in any natural process, the total entropy of an isolated system can only increase or remain constant. This limits the efficiency of all real engines and processes.

SCE Engineering Practice Test

SCE Engineering Practice Test

SCE Engineering Sciences 3