MANUAL A FIRST COURSE IN THE FINITE ELEMENT
METHOD 6TH EDITION LOGAN (CHAPTER 1-16)
QUESTIONS AND CORRECT ANSWERS (VERIFIED
ANSWERS) Q&A 2026|INSTANT DOWNLOAD PDF
1. The primary goal of the finite element method is to:
A. Solve algebraic equations only
B. Approximate solutions to boundary value problems
C. Eliminate differential equations completely
D. Avoid numerical computation
Rationale: FEM converts continuous problems into discrete
approximations.
Correct answer: B
2. In FEM, a structure is divided into:
A. Integrals
B. Elements
C. Functions
D. Constants
Rationale: Discretization divides a domain into smaller
elements.
Correct answer: B
,3. Nodes in FEM are:
A. Random points
B. Points where elements meet
C. Loads only
D. Material properties
Rationale: Nodes connect elements and define DOFs.
Correct answer: B
4. Degrees of freedom represent:
A. Material strength
B. Independent displacements/rotations
C. Element size
D. Mesh density
Rationale: DOFs define system unknowns.
Correct answer: B
5. Shape functions are used to:
A. Increase load
B. Approximate field variables
C. Reduce nodes
D. Define material properties
Rationale: They interpolate solution within elements.
Correct answer: B
,6. The stiffness matrix relates:
A. Force and displacement
B. Mass and velocity
C. Stress and strain only
D. Temperature and pressure
Rationale: K connects nodal forces and displacements.
Correct answer: A
7. The global stiffness matrix is formed by:
A. Ignoring elements
B. Assembling element matrices
C. Random selection
D. Integration only
Rationale: Assembly combines all element contributions.
Correct answer: B
8. Boundary conditions in FEM are used to:
A. Increase mesh size
B. Define constraints
C. Remove elements
D. Change materials
Rationale: They specify physical constraints.
Correct answer: B
, 9. Essential boundary conditions are also called:
A. Natural conditions
B. Dirichlet conditions
C. Neumann conditions
D. Random conditions
Rationale: Essential conditions specify primary variables.
Correct answer: B
10. Natural boundary conditions relate to:
A. Displacements
B. Forces
C. Mesh density
D. Nodes only
Rationale: They involve flux or forces.
Correct answer: B
11. FEM is mainly used for solving:
A. Linear algebra only
B. Differential equations
C. Sorting algorithms
D. Database queries
Rationale: FEM solves PDEs numerically.
Correct answer: B
METHOD 6TH EDITION LOGAN (CHAPTER 1-16)
QUESTIONS AND CORRECT ANSWERS (VERIFIED
ANSWERS) Q&A 2026|INSTANT DOWNLOAD PDF
1. The primary goal of the finite element method is to:
A. Solve algebraic equations only
B. Approximate solutions to boundary value problems
C. Eliminate differential equations completely
D. Avoid numerical computation
Rationale: FEM converts continuous problems into discrete
approximations.
Correct answer: B
2. In FEM, a structure is divided into:
A. Integrals
B. Elements
C. Functions
D. Constants
Rationale: Discretization divides a domain into smaller
elements.
Correct answer: B
,3. Nodes in FEM are:
A. Random points
B. Points where elements meet
C. Loads only
D. Material properties
Rationale: Nodes connect elements and define DOFs.
Correct answer: B
4. Degrees of freedom represent:
A. Material strength
B. Independent displacements/rotations
C. Element size
D. Mesh density
Rationale: DOFs define system unknowns.
Correct answer: B
5. Shape functions are used to:
A. Increase load
B. Approximate field variables
C. Reduce nodes
D. Define material properties
Rationale: They interpolate solution within elements.
Correct answer: B
,6. The stiffness matrix relates:
A. Force and displacement
B. Mass and velocity
C. Stress and strain only
D. Temperature and pressure
Rationale: K connects nodal forces and displacements.
Correct answer: A
7. The global stiffness matrix is formed by:
A. Ignoring elements
B. Assembling element matrices
C. Random selection
D. Integration only
Rationale: Assembly combines all element contributions.
Correct answer: B
8. Boundary conditions in FEM are used to:
A. Increase mesh size
B. Define constraints
C. Remove elements
D. Change materials
Rationale: They specify physical constraints.
Correct answer: B
, 9. Essential boundary conditions are also called:
A. Natural conditions
B. Dirichlet conditions
C. Neumann conditions
D. Random conditions
Rationale: Essential conditions specify primary variables.
Correct answer: B
10. Natural boundary conditions relate to:
A. Displacements
B. Forces
C. Mesh density
D. Nodes only
Rationale: They involve flux or forces.
Correct answer: B
11. FEM is mainly used for solving:
A. Linear algebra only
B. Differential equations
C. Sorting algorithms
D. Database queries
Rationale: FEM solves PDEs numerically.
Correct answer: B
