EI Structural Analysis & Design

Question 1

A simply supported beam of length 10 ft carries a concentrated load of 500 lb at its midpoint. What is the vertical reaction at each support?

Accepted Answer

250 lb

Answer

500 lb

Answer

125 lb

Answer

1000 lb

Question 2

Which condition must be satisfied for a structure to be in static equilibrium?

Accepted Answer

Both the sum of all forces and the sum of all moments equal zero

Answer

The sum of all forces equals zero only

Answer

The sum of all moments equals zero only

Answer

The sum of all forces equals the sum of all moments

Question 3

For a cantilever beam of length L with a uniform distributed load w, what is the maximum bending moment?

Accepted Answer

wL²/2

Answer

wL²/8

Answer

wL²/4

Answer

wL²

Question 4

In the method of joints for truss analysis, which equilibrium equations are applied at each joint?

Accepted Answer

ΣFx = 0 and ΣFy = 0

Answer

ΣM = 0 only

Answer

ΣFx = 0, ΣFy = 0, and ΣM = 0

Answer

ΣFz = 0 only

Question 5

Euler's critical buckling load for a column with both ends pinned and length L is given by which formula?

Accepted Answer

Pcr = π²EI / L²

Answer

Pcr = π²EI / (4L²)

Answer

Pcr = 2π²EI / L²

Answer

Pcr = π²EI / (2L²)

Question 6

A steel rod with cross-sectional area of 2 in² is subjected to a tensile force of 60,000 lb. What is the axial stress?

Accepted Answer

30,000 psi

Answer

15,000 psi

Answer

60,000 psi

Answer

120,000 psi

Question 7

The factor of safety (FS) is defined as which of the following?

Accepted Answer

Ultimate (or yield) stress divided by allowable stress

Answer

Working stress divided by ultimate stress

Answer

Allowable load divided by applied load

Answer

Elastic modulus divided by applied strain