Advanced Concepts 9 min read
Plane Stress and Plane Strain
Plane Stress Analysis Fig. 1 shows the important facts about plane stress analysis. The structural region is assumed to lie…
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Plastic analysis
In plastic analysis and design of a structure, the ultimate load of the structure as a whole is regarded as…
Advanced Concepts 7 min read
Stiffness Method for One-Dimensional Truss Elements
We will look at the development of the matrix structural analysis method for the simple case of a structure made…
Advanced Concepts 3 min read
Discretization
Discretization refers to the process of translating the material domain of an object-based model into an analytical model suitable for analysis.…
Advanced Concepts 4 min read
Hints and tips on finite element analysis
Don’t rely on one run. Refine the mesh in areas of high stress, repeat two or three times, check the…
Advanced Concepts 7 min read
Capabilities of finite element programs
Finite element codes or programs fall within two main groups: 1. general-purpose systems with large finite element libraries, sophisticated modelling capabilities…
Advanced Concepts 8 min read
What is finite element analysis?
Finite element analysis, utilising the finite element method (FEM), is a product of the digital age, coming to the fore…
Advanced Concepts 4 min read
Outline of the finite element analysis process: structural analysis
The number and type of elements chosen must be such that the variable distribution through the whole body is adequately…
Advanced Concepts 8 min read
Rotation matrix
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix rotates…
Advanced Concepts 2 min read
Coordinate Transformations
Plane State of Stress A class of common engineering problems involving stresses in a thin plate or on the free…
Advanced Concepts 3 min read
The Direct Stiffness Method: Beams
Instructional Objectives After reading this chapter the student will be able to 1. Derive member stiffness matrix of a beam element.…
Advanced Concepts 8 min read
Simplified Analysis of Continuous Beams
The analysis of continuous beams and frames to determine the bending moments and shear is an essential step in the design…