summary1 - Galileos Problem: g 2 h 3 h 2 F lim ( 1 , 2 )...

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Lecture 1 - summary ± Introduction to the engineering science approach ± Galileo problem: Could we simply ‘upscale’ an animal, human. . several times and could it still exist? ± Dimensional analysis shows: If same material is used, a monster can not exist ± Remedy: Change material (density) as the height is increased in order to create physical similarity h 1 h 2 Express physical situation as function of nondimensional parameters (critical: find correct dependence on variables)
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Unformatted text preview: Galileos Problem: g 2 h 3 h 2 F lim ( 1 , 2 ) Robustness: = = 1 mg 2 1 Thus, for a monster to exist need material with higher strength OR material with lower density. Definition of Galileo number : Two events are similar if the invariants are the same, here the Galileo Number: 1 ( ) h ( i ) ( i ) h 1 ( 1 ) ( 2 ) ( ) 2 g 1 = 1 = ( ) = h 2 = ( ) 2 ( ) i 1...
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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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