280 - L1 - intro, nonlinear bars_2010_markup

280 - L1 - intro, nonlinear bars_2010_markup - CEE 280...

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CEE 280 Sept. 20, 2010 6 Bar-Spring Examples To illustrate: some basics • some basics – static determinacy/indeterminacy – meaning of “linear elastic” • geometrically linear or nonlinear –1 st -order versus “2 nd -order” • elastic versus inelastic
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CEE 280 Sept. 20, 2010 7
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CEE 280 Sept. 20, 2010 8 Geometric Nonlinear: Equilibrium equations and resulting internal forces and reactions are nonlinearly related to the displacements. A “1 st -order” analysis refers to methods where equilibrium is satisfied on the undeformed geometry; in “2 nd -order” (or geometric NL) analysis, equilibirum is satisfied on deformed geometry. •Force distribution? •Static indeterminacy? •Kinematic Indeterminacy? •Force (flexibility) method? •Direct stiffness method?
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CEE 280 Sept. 20, 2010 9 Force (Flexibility) Method: Compatibility Equation: Force (Flexibility) Method: 1. Choose redundants & cut (release) structure to obtain statically determinate subassemblies. 2. Calculate internal forces and displacements of subassemblies under the applied loads 3. Calculate internal forces and displacements of
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This note was uploaded on 01/20/2012 for the course CEE 280 taught by Professor Dierlein during the Fall '11 term at Stanford.

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280 - L1 - intro, nonlinear bars_2010_markup - CEE 280...

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