E M 319 Study Guide - Statically Indeterminate

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Statically indeterminate beams, mechanics of materials, james m. gere and barry j. goodno. Degree of indeterminacy: number of reactions in excess of the number of equilibrium equations. Primary structure: redundants are released making it statically determinate. Propped cantilever beam: fixed at one end and simply supported at the other. Fixed end beam: fixed supports at both ends. Continuous beams: more than one span and is continuous over an interior support. Analysis by the differential equations of the deflection curve: second-order equation in terms of bending moment. 3. third-order equation in terms of shear force fourth-order equation in terms of distributed load. *unknowns are redundant reactions and constants of integration. *differential equations may be solved in symbolic terms only.