FIRST COURSE FINITE ELEMENT METHOD
ACTUAL PROBLEM BANK 2026 TEST
PAPER SOLUTIONS GUARANTEED
⩥ Axisymmetric elements. Answer: are elements with two degrees of
freedom, the displacement in the radial (r) and axial ( z ) directions.
⩥ Banded matrix. Answer: is a matrix with its nonzero coefficient
placed in a 'band' around the diagonal. Special solvers can be used for
banded matrices.
⩥ Bar elements. Answer: are usually one-dimensional elements, which
can only transmit axial forces, and have only one degree of freedom, the
displacement along the bar.
⩥ Beam elements. Answer: are elements that satisfy the beam bending
equations, with two degrees of freedom (in two-dimensional problems):
the axial displacement and the slope.
⩥ Benchmarks. Answer: are problems with known (and reliable) non-FE
solutions that can be used to test the accuracy of FE programs.
⩥ Brick elements. Answer: are three-dimensional elements (rectangular
prism shape) with straight line or quadratic curved sides.
, ⩥ Cartesian coordinates. Answer: are the orthogonal set of axes in the x,
y , and z axes, also called global axes.
⩥ Compatibility equations. Answer: are equations with differentials of
the displacement functions, which must be satisfied to ensure that the
displacements are continuous over the domain
⩥ Constitutive equations. Answer: are the relationships between stress
and strain incorporating material properties, such as Young's modulus
and Poisson 's ratio.
⩥ Contact problems. Answer: are problems involving two domains that
touch without necessarily being stuck together.
⩥ Continuity. Answer: is used to describe the continuous nature of
displacements across element boundaries, that is, no step changes in
displacement between adjacent elements.
⩥ Contour plots. Answer: are colour plots showing lines of constant
stress values within the domain. Plotted variables are extrapolated and
interpolated to fall within the ranges of the contours.
⩥ Convergence. Answer: of the solution means that as the FE mesh is
refined the computed solutions approach the exact solution.
ACTUAL PROBLEM BANK 2026 TEST
PAPER SOLUTIONS GUARANTEED
⩥ Axisymmetric elements. Answer: are elements with two degrees of
freedom, the displacement in the radial (r) and axial ( z ) directions.
⩥ Banded matrix. Answer: is a matrix with its nonzero coefficient
placed in a 'band' around the diagonal. Special solvers can be used for
banded matrices.
⩥ Bar elements. Answer: are usually one-dimensional elements, which
can only transmit axial forces, and have only one degree of freedom, the
displacement along the bar.
⩥ Beam elements. Answer: are elements that satisfy the beam bending
equations, with two degrees of freedom (in two-dimensional problems):
the axial displacement and the slope.
⩥ Benchmarks. Answer: are problems with known (and reliable) non-FE
solutions that can be used to test the accuracy of FE programs.
⩥ Brick elements. Answer: are three-dimensional elements (rectangular
prism shape) with straight line or quadratic curved sides.
, ⩥ Cartesian coordinates. Answer: are the orthogonal set of axes in the x,
y , and z axes, also called global axes.
⩥ Compatibility equations. Answer: are equations with differentials of
the displacement functions, which must be satisfied to ensure that the
displacements are continuous over the domain
⩥ Constitutive equations. Answer: are the relationships between stress
and strain incorporating material properties, such as Young's modulus
and Poisson 's ratio.
⩥ Contact problems. Answer: are problems involving two domains that
touch without necessarily being stuck together.
⩥ Continuity. Answer: is used to describe the continuous nature of
displacements across element boundaries, that is, no step changes in
displacement between adjacent elements.
⩥ Contour plots. Answer: are colour plots showing lines of constant
stress values within the domain. Plotted variables are extrapolated and
interpolated to fall within the ranges of the contours.
⩥ Convergence. Answer: of the solution means that as the FE mesh is
refined the computed solutions approach the exact solution.
