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lec32 - 1.050 – Content overview I Dimensional analysis 1...

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Unformatted text preview: 1.050 – Content overview I. Dimensional analysis 1. On monsters, mice and mushrooms Lectures 1-3 1.050 Engineering Mechanics I 2. Similarity relations: Important engineering tools Sept. II. Stresses and strength 3. Stresses and equilibrium Lectures 4-15 4. Strength models (how to design structures, foundations.. against mechanical failure) Sept./Oct. Lecture 32 III. Deformation and strain Energy bounds in beam structures (cont’d) - 5. How strain gages work? How to solve problems 6. How to measure deformation in a 3D Lectures 16-19 structure/material? Oct. IV. Elasticity 7. Elasticity model – link stresses and deformation Lectures 20-32 8. Variational methods in elasticity Oct./Nov. V. How things fail – and how to avoid it 9. Elastic instabilities 10. Plasticity (permanent deformation) Lectures 33-37 1 2 11. Fracture mechanics Dec. 1.050 – Content overview Review: 3D isotropic elasticity I. Dimensional analysis ⎧ max (− ε com ( σ ') ) ⎫ II. Stresses and strength σ ' S.A. r III. Deformation and strain − ε com ( σ ') ≤ ⎨ ⎪ ⎪ is equal to ⎬ ⎪ ⎪ ≤ ε pot ( ξ ') IV. Elasticity σ ' S.A. ⎪ r min ε pot ( ξ r ') ⎪ ξ r ' K.A. … ⎪ ⎩ ξ ' K.A. ⎪ ⎭ Lecture 27: Introduction: Energy bounds in linear elasticity (1D system) Lecture 28: Introduction: Energy bounds in linear elasticity (1D system), cont’d Lecture 29: 1D examples Lower bound Solution Upper bound Lecture 30: Generalization to 3D Complementary energy Potential energy Lecture 31: Energy bounds in beam structures Lecture 32: Energy bounds in beam structures (cont’d): How to solve problems...
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