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Unformatted text preview: KEY CONCEPTS FOR MATERIALS AND STRUCTURES Handout for Spring Term Quizzes Basic modeling process for 1-D structural members (1) Idealize/model – make assumptions on geometry, load/stress and deformations (2) Apply governing equations (e.g. equations of elasticity) (3) Invoke known boundary conditions to derive constitutive relations for structure (load- deformation, load-internal stress etc.) Analytical process for 1-D structural members (1) Idealize/model – assumptions on geometry, load/stress and deformations (2) Draw free body diagram (3) Apply method of sections to obtain internal force/moment resultants (4) Apply structural constitutive relations to relate force/moment resultants to a) internal stresses b) deformations (usually requires integration – invoking boundary conditions) Elastic bending formulae Based on convention for positive bending moments and shear forces: dS dM for continuous loading, q, q = , S = dx dx Bending of a symmetric cross section about its neutral axis (mid plane for a cross-section with two...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.
- Fall '05