Lec5(1) - II Stresses and strength Lecture 4 Newton’s laws fall of the WTC towers Lecture 5 Stress vector and stress tensor Lecture 6 Hydrostatic

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1.050 Engineering Mechanics Lecture 4: Stresses and Strength Stresses and Equilibrium Discrete Model
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1.050 – Content overview I. Dimensional analysis 1. On monsters, mice and mushrooms 2. Similarity relations: Important engineering tools II. Stresses and strength 2. Stresses and equilibrium 3. Strength models (how to design structures, foundations. . against mechanical failure) III. Deformation and strain 4. How strain gages work? 5. How to measure deformation in a 3D structure/material? IV. Elasticity 5. Elasticity model – link stresses and deformation 6. Variational methods in elasticity V. How things fail – and how to avoid it 7. Elastic instabilities 8. Plasticity (permanent deformation) 9. Fracture mechanics Lectures 1-3 Sept. Lectures 4-15 Sept./Oct. Lectures 16-19 Oct. Lectures 20-31 Nov. Lectures 32-37 Dec.
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1.050 – Content overview I. Dimensional analysis
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Unformatted text preview: II. Stresses and strength Lecture 4: Newton’s laws, fall of the WTC towers Lecture 5: Stress vector and stress tensor Lecture 6: Hydrostatic problem Applications Lecture 7: Soil mechanics / geostatics problem Lecture 8: Beam stress model Lecture 9: Beam model II and summary Lecture 10: Strength models … III. Deformation and strain IV. Elasticity V. How things fail – and how to avoid it Content lecture 5 1. 3-scale continuum model: Molecular scale, representative volume element (REV), macro-scale 2. Stress vector, stress matrix and stress tensor • Definition of stress vector • Generalized expression as stress matrix • Definition of stress tensor 3. Implement dynamic resultant theorem for REV • Use Gauss theorem (divergence theorem) • Develop differential equilibrium: Partial differential equation...
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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.

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Lec5(1) - II Stresses and strength Lecture 4 Newton’s laws fall of the WTC towers Lecture 5 Stress vector and stress tensor Lecture 6 Hydrostatic

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