# Finite Element Method MCQ

### Reduced integration elements do not permit internal stress gradients because of their single integration point and suffer from their own numerical problem known as

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### In numerical mathematics, the constant strain triangle element, also known as the ?

Correct Answer: Both A and B

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### Gauss points are also the points used for numerical evaluation of _____

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### For degenerate four noded quadrilateral element the errors are _____

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### For quadrilaterals with 2X2 integration gives _____ sets of stress values.

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### The stresses in the quadratic element are not ______

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### Bayesian Quadrature is a statistical approach to the numerical problem of computing integrals and falls under the field of probabilistic numerics.

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### The interpolating function may be a straight line (an affine function, i.e. a polynomial of degree 1) passing through the points. This is called the trapezoidal rule.

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### ______________ is a historical mathematical term that means calculating area

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### The term "numerical integration" first appears in ?

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### Numerical integration comprises a broad family of algorithms for calculating the numerical value of a?

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### Numerical integration methods can generally be described as combining evaluations of the integrand to get an approximation to the integral. The integrand is evaluated at a finite set of points called?

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### The strain-stress relation for orthotropic linear elastic materials can be written in Voigt notation.

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### When an orthotropic plate is loaded parallel to its material axes, it results only _____

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### E1 value of Balsa wood is ___

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### V12 indicates the poisson’s ratio that characterises the decrease in ______ during tension applied in ______.

Correct Answer: 2- direction and 1- direction

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### The principal material axes that are normal to the _______

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### Unidirectional fibre- reinforced composites also exhibit _______ behaviour.

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### In linear elasticity, the relation between stress and strain depend on the type of material under consideration

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### How many orthogonal symmetry planes does orthotropic material have?

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### A familiar example of an orthotropic material is?

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### Which materials are special orthotropic materials that have one axis of symmetry?

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### Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.

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### Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.

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### A banded matrix is defined as ____________

Correct Answer: Non zero elements are contained in band

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### Step number in Gaussian elimination is denoted as ___________

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### Gaussian elimination is a name given to a well known method of solving simultaneous equations by successively eliminating _________.

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### A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1

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### Using row operations to convert a matrix into reduced row echelon form is sometimes called?

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### How many types of elementary row operations?

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### Gaussian elimination method can also be used to find the ?

Correct Answer: All of the above

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### Gaussian elimination, also known as?

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### A (A^-1)=(A^-1)A is a condition for ________

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### Which of the following properties define a singular matrix?

Correct Answer: All of the above

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### A positive definite symmetric matrix A can be decomposed into form A=LL^T this decomposition is called ________

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### A symmetric matrix is called ____________, if all its Eigenvalues are strictly positive i.e., greater than zero.

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### A matrix with 4 rows and 2 columns can be subtracted to a matrix with 5 rows and 2 columns.

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### If you want to add two matrices, their dimensions must be exactly the same.

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### A diagonal matrix with zeros as elements except for the diagonal, which was once known as?

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### Dimensions are also called?

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### ____________ is used in statistics to express collections of data.

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### A matrix is a rectangular array of numbers arranged into?

Correct Answer: Both A and B

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### In any FEA software, a large amount of mathematical work is done in ________ phase.

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### The equation for thermal stress in each element is ________.

Correct Answer: σ = E (Bq - α Δt)

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### In the penalty approach, the magnitude of the stiffness constant should be at least _______ times more than the maximum value in the global stiffness matrix.

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### As per the penalty approach, the equation of reaction force is _____.

Correct Answer: R = -C (Q-a)

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### The strain energy per unit volume is equal to _________.

Correct Answer: (1/2) * Force * Deflection

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### The total potential energy of an elastic body is defined as _______.

Correct Answer: Strain energy + Work potential

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### In truss analysis, the reactions can be found by using the equation ______.

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### Elements with an aspect ratio of near to ______ generally yield best results in FEA.

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### In FEA, the use of smaller-sized elements will lead to _______ computation time

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### If the size of the elements is small, the final solution is expected to be ______ accurate.

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### How many nodes are there in a tetrahedron with curved sides?

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### How many nodes are there in a hexahedron element?

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### How many nodes are there in a tetrahedron element?

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### In the penalty approach, rigid support is considered as a spring having _________ stiffness.

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### Crack propagation problems come under _______ category.

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### In the FEA of a fluid mechanics problem, we need to find _______.

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### For thermal analysis, the field variable is _________.

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### Which of the following modules of FEA is used to determine natural frequency?

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### Which of the following is not an FEA package?

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### The actual thickness of the plane strain element is ________.

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### Which of the following is true for the stiffness matrix (K)?

Correct Answer: K is a banded matrix

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### If the body is in a state of equilibrium then the energy is minimum. This statement is considered in __________ .

Correct Answer: The minimum potential energy principle

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### The applications of the finite element method in two-dimensional analyses are __________.

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### The points in the entire structure are defined using the coordinate system known as ___________.

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### When a thin plate is subjected to loading in its own plane only, the condition is called ________.

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### _________ are used to express the geometry or shape of the element.

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### ______________ is defined as the ratio of the largest dimension of the element to the smallest dimension.

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### Which of the following is not a method for calculation of the stiffness matrix?

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### If the structure is more complex in order to simplify the model, we need to subdivide the structure into substructures. These substructures are termed as _____.

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### The finite element methods can be applied in ____________areas.

Correct Answer: All of the mentioned

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### The minimum number of dimensions are required to define the position of a point in space is _______.

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### _______ is the phase/s of the finite element method.

Correct Answer: All of the mentioned

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### Axis-Symmetric element is______________Element

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### From below, choose the correct condition for the axisymmetric element.

Correct Answer: All of the mentioned

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### How many nodes are there in a 3-D brick element?

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### The determinant of an element stiffness matrix is always

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### Example for one – Dimensional element is ___________ .

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### The truss element can deform only in the

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### The truss element can resist only

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### The nature of loading at various locations and other surfaces conditions called

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### To find the nodal displacements in all parts of the element, ______are used.

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### For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of

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### Example of 2-D Element is ___________ .

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### Stiffness matrix depends on

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### Finite element analysis deals with ___________ .

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### The numbers of node for 1 D element are

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### In FEA, the sub domains are called as ___________.

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### At fixed support, the displacements are equal to

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### The finite element method is mostly used in the field of

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### On gathering stiffness and loads, the system of equations is given by

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### Number of displacement polynomials used for an element depends on ___________ .

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### A triangular plane stress element has how many degrees of freedom?

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### The sum of the shape function is equal to

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### The art of subdividing the structure into a convenient number of smaller elements is known as ___________.

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### To solve the FEM problem, it subdivides a large problem into smaller, simpler parts that are called

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### For truss analysis, which type of elements are used?

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