Element Definition
for the
One-Dimensional Beam Element


A beam is defined as a long, slender member which is subjected to traverse loads. A one-dimensional beam element is used to model a beam or a section of a beam, which is subjected to traverse loads and moments, which in turn, produce traverse displacements and rotations due to bending of the beam.


1-D Beam Element Definition
Physical Discipline Mechanics of Material
Element Dimensionality One-Dimensional
"1-D"
Geometric Shape of Element Straight Line
Material Law
(Constitutive Relationship)
Hooke's Law
(Linear Elastic)
Types of Degrees of Freedom per Node Translation in the y-direction
Rotation about the z-axis
Method of Element Formulation Direct Method

There are also a set of assumptions and sign conventions that must be observed when dealing with a beam element, in order to obtain an accurate solution.