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Unformatted text preview: 1.050 Engineering Mechanics I Lecture 34 How things fail – and how to avoid it Additional notes – energy approach 1 1.050 – Content overview I. Dimensional analysis 1. On monsters, mice and mushrooms Lectures 1-3 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. III. Deformation and strain 5. How strain gages work? 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. Fracture mechanics Lectures 33-37 11. Plasticity (permanent deformation) Dec. 2 1.050 – Content overview I. Dimensional analysis II. Stresses and strength III. Deformation and strain IV. Elasticity V. How things fail – and how to avoid it Lecture 33 (Mon): Buckling (loss of convexity) Lecture 34 (Wed): Fracture mechanics I Lecture 35 (Fri – teaching evaluation): Fracture mechanics II Lecture 36 (Mon): Plastic yield Lecture 37 (Wed): Wrap-up plastic yield and closure 3 4 ( ) 2 2 el EI P P crit π = < 2 = e 1 = e 2 1 = e Selection of boundary conditions: Euler buckling Clamped cantilever beam Single supported beam Double clamped cantilever beam P “effective length” el 1 5 ( ) 2 2 2 l EI P P crit π =...
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This note was uploaded on 11/29/2011 for the course CIVIL 1.018j taught by Professor Markusbuehler during the Fall '08 term at MIT.
- Fall '08