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…
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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…
Advanced Concepts 1 min read
Analysis the rigid jointed plane frame
Degree of Static Indeterminancy. Ds = R-E = 4-3 = 1 Assuming Ds = Number of redundant force R Portion…
Advanced Concepts 1 min read
Analysis of Statically Indeterminate Structure
Analysis of Statically Indeterminate Structures by Energy Method
Advanced Concepts 2 min read
REQUIREMENT OF COMPATIBILITY CONDITIONS
A direct determination of the six stress components requires six equations—three equilibrium equations and three compatibility conditions. However, indirect methods…
Advanced Concepts 12 min read
Classification of the Response of Materials
First, it should be clarified that one should not get confused with the real body and its mathematical idealization. Modeling…
Advanced Concepts 8 min read
Basic Equations in Mechanics
Having gained a superficial understanding of the four concepts in mechanics namely the force, stress, displacement and strain, let us…
Advanced Concepts 11 min read
Equilibrium and compatibility
Introduction This course builds upon the concepts learned in the course “Mechanics of Materials” also known as “Strength of Materials”.…
Advanced Concepts 3 min read
Vertical Retaining Wall Structures
Overview Vertical wall type structures function as barriers whose purpose is to prevent a material from entering a certain space.…
