Introduction to FEA

If the structure is divided into discrete areas or volumes then it is called an

• Structure

• Element

• Matrix

• Boundaries

Answer explanation

An element is a basic building block of finite element analysis. An element is a mathematical relation that defines how the degrees of freedom of node relate to next. The structure is divided into discrete areas or volumes known as elements.

In finite element modeling nodal points are connected by unique

• Surface

• Shape

• Eigenvalues

• Matrix

Answer explanation

A node is a co-ordinate location in a space where the degrees of freedom can be defined. A node may be limited in calculated motions for a variety of reasons. Element boundaries are defined when nodal points are connected by unique polynomial curve or surface.

What is a matrix?

• Group of elements

• Array of elements

• Group of columns and rows

• Array of numbers

Answer explanation

A matrix is an array of elements. The matrix A is denoted as [A]. An element located in the ith row and j th column is denoted as aij. A matrix is a collection of numbers arranged into a fixed number of rows and columns.

In one dimensional problem, each node has _________ degrees of freedom.

• 2 degrees of freedom

• 1 degrees of freedom

• 0 degrees of freedom

• 3 degrees of freedom

Answer explanation

A degrees of freedom may be defined as, the number of parameters of system that may vary independently. It is the number of parameters that determines the state of a physical system. In one dimensional problem, every node is permitted to displace only in the direction. Thus each node has only one degree of freedom.

Which relations are used in one dimensional finite element modeling?

• Nodal Equilibrium

• Compatibility

• Constitutive law

• All the above

Answer explanation

The basic procedure for a one dimensional problem depends upon equilibrium, stress-strain relation and strain-displacement relation are used in developing the finite element modeling

Discretization includes __________ numbering

• Element and node

• Nodal

• Element

• Either nodal or element

Answer explanation

The process of dividing a body into equivalent number of finite elements associated with nodes is called discretization. Discretization includes both node and element numbering, in this model every element connects two nodes.

The loading on an element includes _______

• Body force

• Traction force

• Point load

• Body force, Traction force & Point load

Answer explanation

The loading on an element includes body force; traction force & point load. Body force is distributed force acting on every elemental volume. Traction force is a distributed load along the surface of a body.

Global nodes corresponds to _______

• Entire body

• On surface

• On interface

• On element

Answer explanation

Global coordinate system corresponds to the entire body. It is used to define nodes in the entire body.

Local node number corresponds to ______________

• Entire body

• On element

• On interface

• On surface

Answer explanation

Local coordinate system corresponds to particular element in the body. The numbering is done to that particular element neglecting the entire body.

One dimensional element is the linear segments which are used to model ________

• Bars and trusses

• Plates and beams

• Structures

• Solids

Answer explanation

In finite element method elements are grouped as one dimensional, two dimensional and three dimensional elements. One dimensional element is the linesegment which is used to model bars and trusses.