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1.050 Engineering Mechanics Lecture 11: Strength models 3D model – Mohr Circle1.050 – 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.1.050 – Content overview I. Dimensional analysis II. Stresses and strength … Lecture 8: Beam stress model Lecture 9: Beam model II and summary Lecture 10: Strength models: Introduction (1D) Lecture 11: Mohr circle – strength criteria 3D Lecture 12: Application – soil mechanics: How to build sandcastles Lecture 13: Strength criterion in beams (I/II) Lecture 14: Strength criterion in beams (II/II) – convexity of strength domain Lecture 15: Closure strength models & review for quiz … III. Deformation and strain IV. Elasticity V. How things fail – and how to avoid itChristian Otto Mohr (1835-1918) German civil engineer, one of the most celebrated of the 19th century Important contributions in strength of materials, design of steel trusses, bridges Professor of Mechanics at Stuttgart PolytechnicPhotograph of Mohr removed due to copyright restrictions. and Dresden Polytechnic Student of Mohr: Foeppl, the doctoral advisor of Ludwig Prandtl, who was the advisor of Theodore von Kármán


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