Master Structural Analysis: Online Quizzes for Engineering Mechanics MEng

Question 1

In structural analysis, which method divides the structure into sections to calculate the internal forces acting on each section?

Accepted Answer

Sections Method

Answer

Joints Method

Answer

Virtual Work Method

Answer

Frame Analysis Method

Question 2

In the analysis of structures, which of the following is NOT a fundamental method employed?

Accepted Answer

Method of least squares

Answer

Method of sections

Answer

Method of joints

Answer

Method of superposition

Question 3

In a truss, the internal forces in the members are primarily determined by:

Accepted Answer

Equilibrium and compatibility equations

Answer

Equilibrium equations alone

Answer

Compatibility equations alone

Answer

Constitutive equations alone

Question 4

According to the virtual work principle, the total external work done on a structure is equal to:

Accepted Answer

The change in strain energy stored in the structure

Answer

The change in kinetic energy of the structure

Answer

The total internal work done by the structure

Answer

The total potential energy of the structure

Question 5

The deflection of a beam is primarily determined by:

Accepted Answer

Compatibility equations

Answer

Equilibrium equations

Answer

Constitutive equations

Answer

Elasticity equations

Question 6

In the method of joints, which equation is crucial for determining the force within a member?

Accepted Answer

ΣFy = 0

Answer

ΣFx = 0

Answer

ΣM = 0

Answer

ΣF = 0

Question 7

What is the primary purpose of employing the virtual work method?

Accepted Answer

Determining the displacement of a structure.

Answer

Calculating reactions at supports.

Answer

Analyzing the stability of a structure.

Answer

Designing a new structure.

Question 8

What is the fundamental distinction between determinate and indeterminate structures?

Accepted Answer

Determinate structures have a unique solution, unlike indeterminate structures.

Answer

Indeterminate structures have a unique solution, unlike determinate structures.

Answer

Determinate structures can be analyzed using equilibrium equations, unlike indeterminate structures.

Answer

Indeterminate structures can be analyzed using equilibrium equations, unlike determinate structures.

Question 9

What is the primary function of a gusset plate in a truss?

Accepted Answer

Connecting the members of the truss

Answer

Providing additional support to the truss

Answer

Distributing the load on the truss

Answer

Preventing the truss from collapsing

Question 10

Which of the following is NOT considered a type of machine?

Accepted Answer

Truss

Answer

Lever

Answer

Pulley

Answer

Gear

Question 11

In the method of sections, the equilibrium equation ΣM = 0 is used to calculate the forces in a:

Accepted Answer

Cut member

Answer

Joint

Answer

Truss

Answer

Frame

Question 12

In the method of joints, the equilibrium equation ΣF_y = 0 is commonly employed to determine the force in a member of a:

Accepted Answer

Truss

Answer

Frame

Answer

Continuous beam

Answer

Machine

Question 13

Which type of structure exhibits an unknown number of reactions or internal forces?

Accepted Answer

Indeterminate

Answer

Determinate

Answer

Over-determined

Answer

Unstable

Question 14

In the virtual work method, the virtual displacement is characterized by:

Accepted Answer

Satisfying compatibility conditions while remaining arbitrary

Answer

Being equal to the applied load

Answer

Being proportional to the actual displacement

Answer

Causing actual movement in the structure

Question 15

A zero-force member in a truss is defined as one that:

Accepted Answer

Experiences no axial force

Answer

Has an axial force equal to zero

Answer

Has an axial force less than zero

Answer

Has an axial force greater than zero

Question 16

In the moment-area method applied to frame analysis, the primary objective is to determine:

Accepted Answer

Member deflections

Answer

Reactions at supports

Answer

Member forces

Answer

Member stresses

Question 17

A structure is considered statically determinate when:

Accepted Answer

The number of equilibrium equations equals the number of unknowns

Answer

The number of equilibrium equations is greater than the number of unknowns

Answer

The number of equilibrium equations is less than the number of unknowns

Answer

The structure is unstable

Question 18

Determine the number of degrees of freedom (DOF) for a truss with n joints and m members.

Accepted Answer

3(n - m)

Answer

6(n - m)

Answer

6n

Answer

3n

Question 19

What is the primary consideration in the virtual work method for analyzing structures?

Accepted Answer

Virtual displacements and forces

Answer

Elastic moduli and material properties

Answer

Stress and strain distributions

Answer

Actual displacements and forces

Question 20

Define the significance of the centroid of a cross-sectional area.

Accepted Answer

The resultant force of gravity acts at this point

Answer

The moment of inertia is maximum at this point

Answer

The section modulus is maximum at this point

Answer

The shear force is maximum at this point

Question 21

Determine the formula for the moment of inertia of a rectangular cross-section about its centroidal axis parallel to the width.

Accepted Answer

bh^3/12

Answer

bh^3/4

Answer

bh^2/12

Answer

bh^3/6

Question 22

What is a section modulus used to measure?

Accepted Answer

Resistance to bending

Answer

Resistance to shear

Answer

Resistance to buckling

Answer

Resistance to torsion