chapter 7

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6 March 2013 B. N. Rao Structural Engineering Division Department of Civil Engineering Indian Institute of Technology Madras Chennai 600 036 [email protected] FINITE ELEMENTS IN STRUCTURAL MECHANICS

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Page 1: Chapter 7

6 March 2013

B. N. RaoStructural Engineering DivisionDepartment of Civil Engineering

Indian Institute of Technology MadrasChennai 600 036

[email protected]

FINITE ELEMENTS IN STRUCTURAL MECHANICS

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Higher Order Elements for One Dimensional problems

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Shape Functions for Second Order Problems

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Example 1

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Example 2

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Isoparametric Mapping Concept

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Example 3

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Example 4

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Quadratic Isoparametric Element forGeneral One Dimensional Boundary Value Problem

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Example 5

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One Dimensional Numerical Integration

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Example 6

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Application: Heat Conduction Through a Thin Fin

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Example 7

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QUESTIONS?