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summary3

# summary3 - Analysis for WTC Robustness 15.20 Main idea Do...

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Lecture 3 - summary Additional examples of application of Pi-theorem for engineering problems (flow problem, WTC, tall buildings) Combine two analyses (wind drag force AND strength of building) into robustness analysis Drag force analysis Strength analysis Robustness analysis F γ = x ,lim 1 F D F x ,lim mg 1 N 2 b γ = = Gal F D 2 F D N Gal h (1) Experiments provide functional relationship: or… (2) Theoretical approaches (strength of materials theory) provide relation for strength analysis
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Unformatted text preview: Analysis for WTC: Robustness 15. .20 Main idea: Do few lab experiment to get relationship between Pi i and then rescale problem! (Important engineering concept) 400 200 100 60 40 20 10 6 4 2 1 0.6 0.4 0.2 0.1 0.06 10-1 10 10 1 10 2 10 3 10 4 10 5 10 6 10 7 Smooth Cylinder Smooth Sphere D E C B A Reynolds Number Re = Π 1 =-1 UD v C D = 2 Π = 2F ρ a (UD) 2 ρ a U 2 D 2 C D = 24 Re Π = F D UD v = F ( Π 1 = ) Figure by MIT OpenCourseWare....
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