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CIVL3310 STRUCTURAL ANALYSIS Professor CC Chang Introduction to Matrix based techniques

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Slope-Deflection Relationship AB M AB M BA L = moment/rotation + M BA A B M AB AA BB L V AB V BA

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Matrix based Techniques M BA A B M AB AA BB L V AB V BA A B M A =0 A =0 B =0 B ≠0 =0 M= M/2 3M/2L

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Matrix based Techniques M BA A B M AB AA BB L V AB V BA A B A =0 A =0 B ≠0 B ≠0 =0 0= PL P P P=

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Finite Element Methods

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Learn more from CIVL4370 Computer Methods of Structural Analysis CIVL5390 Finite Element Methods

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Factor completely EXAMPLE 4 Factor the polynomial completely. a.a. n 2 – + 2n –1 SOLUTION a.a. The terms of the polynomial have no common monomial factor.

Factor completely EXAMPLE 4 Factor the polynomial completely. a.a. n 2 – + 2n –1 SOLUTION a.a. The terms of the polynomial have no common monomial factor.

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