Chapter 6 Plane Stress and Plane Strain Stiffness Equations
This chapter considers the two-dimensional (planar) finite elements, which are defined by
three or more nodes in a two-dimensional plane (that is, x-y). The two-dimensional element i
Development of Truss Equations
To derive the stiffness matrix for a bar element.
To illustrate how to solve a bar assemblage by the direct stiffness method.
To introduce guidelines for selecting displacement functions.
Dynamic and Modal Analysis
Dynamics of a Spring-Mass System
Spring-mass system subjected to a time-dependent force
In above figure, the single-degree-of-freedom spring-mass system subjected to a
F (t ) as shown. Here k represents the
Chapter 15 Thermal Stress
In addition to the strains associated with the displacement functions due to mechanical loading,
there are strains within a body due to temperature variation. We will discuss about the stresses
and strains due to temperature vari
Abaqus Three-Dimensional Solid Elements
Common three-dimensional solid elements
4-node linear tetrahedron
6-node linear triangular prism
8-node linear brick
8-node linear brick, reduced integration with hourglass control
Frame and Grid Equations
This chapter develops the equations and methods for solution of plane frames and grids.
Develop the stiffness matrix for a beam element arbitrarily oriented in a plane.
Include the axial nodal displacement
Development of Beam Equations
Review basic concepts of beam bending.
Derive the stiffness matrix for the bending of a beam element. The beam element is
considered to be straight and to have constant cross-sectional area.
Chapter 9 Axisymmetric Elements
In this chapter, we consider a special two-dimensional element called the axisymmetric element.
This element is quite useful when symmetry with respect to geometry and loading exists about
an axis of the body b
Introduction to Displacement (Stiffness) Method
This chapter introduces some of the basic concepts on which the direct stiffness
method is founded. The linear spring is introduced first because it provides a
simple yet generally ins
A First Course in the
Finite Element Method
The finite element method (FEM) is a numerical method for solving
problems of engineering and mathematical physics.
Typical problem areas include structural analysis, heat transfer, fluid