Topic

Lecture material (pdf)

1) Direct stiffness approach

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Class notes

2) Principle of Potential Energy

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Class notes      Example

3) Assumed displacement field, development of 1-D Rod (truss) element stiffness matrix

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Class notes

4) Transformation of truss element stiffness matrix in arbitrary orientation

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5) General formulation of a truss (or Rod) element

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Class notes      Example

6) Derivation of Beam element, including Frames and 3-D beams

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Class notes

7) Frame element, 3-D Beams

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Beam FE modeling

8) Introduction to planar (2-D) problems, derivation of 3-node triangular (CST) element
( includes modeling errors and other issues with CST element, concept of mesh refinement and solution convergence )

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In-class

9) 2-D isoparametric quadrilateral element formulation, potential issues, advantages over CST element

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In-class

10) Higher-order elements

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In-class             Midterm review

11) Axisymmetric elements (special case of 3-D modeling)

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In-class

12) 3-D (solid) elements

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In-Class

13) Introduction to vibration modeling, extracting modes and natural frequency (Modal analysis)

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In-Class

14) Introduction to thermal modeling (conduction and convection analysis, and thermal stress)

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In-Class

Static Failure Theories, A Summary