1.050 Engineering MechanicsLecture 3: Dimension analysis and application to engineering structures1.050 – Content overviewI. Dimensional analysis1. On monsters, mice and mushroomsLectures 1-32. Similarity relations: Important engineering toolsSept.II. Stresses and strength2. Stresses and equilibriumLectures 4-153. Strength models (how to design structures, foundations.. against mechanical failure)Sept./Oct.III. Deformation and strain4. How strain gages work?5. How to measure deformation in a 3D Lectures 16-19structure/material?Oct.IV. Elasticity5. Elasticity model – link stresses and deformationLectures 20-316. Variational methods in elasticityNov.V. How things fail – and how to avoid it7. Elastic instabilities8. Plasticity (permanent deformation)Lectures 32-379. Fracture mechanicsDec.1.050 – Content overviewI. Dimensional analysisLecture 1: Introduction & Galileo's problem Lecture 2: Dimensional Analysis and Atomic Explosion Lecture 3: Dimension analysis and application to engineering structures II. Stresses and strengthIII. Deformation and strainIV. ElasticityV. How things fail – and how to avoid itD-Analysis of Tall BuildingsGraphic of tall buildings removed due to copyright restrictions.http://www.joelertola.com/grfx/grfx_update_feb_05/tall_buildings.jpgHurricane KatrinaWind speeds 200 km/hhttp://www.nasa.gov/images/content/126301main_Katrina_082805_516.jpghttp://www.asiatraveltips.com/newspics/074/BurjDubai.jpgPhotograph of skyscraper removed due to copyright restrictions.Lab Results: Drag Coefficienton smooth objects4002001006040201064210.60.40.20.10.0610-1100101102103104105106107Smooth CylinderSmooth SphereDECBAReynolds Number Re = Π1=−1UDvCD = 2Π0 =2FDρa(UD)2ρaU2D2CD =24ReΠ0 =FDUDv= F ( Π1 =)Figure by MIT
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