Although no one has claimed the $1 million dollar prize for fully solving the Navier-Stokes equations, engineers do have effective ways for designing structures to resist wind--at least most of the time.
In this video we demonstrate the underlying concepts of what causes wind and how structures are designed to resist these forces; and, we display some of our favorite wind failures.
This video topic was chosen by you, our loyal subscriber, in a recent poll. We appreciate your participation, and hope you enjoy the content!
00:00 - $1 million dollar prize for Navier-Stokes
00:22 - building collapse
00:32 - roof uplift failure #1
00:40 - what causes wind?
01:20 - how fast are basic winds?
01:47 - roof uplift failure #2
01:54 - gust winds
02:00 - 2x speed = 4x pressure or force
02:30 - fastest wind ever (recorded)
02:47 - factors that amplify wind
03:12 - wind tunneling
03:22 - typical design wind pressures
03:39 - suction (negative) wind
04:00 - roof uplift failures #1 and #2
04:08 - instability under wind
04:22 - Tacoma Narrows
04:40 - Tacoma oscillation animation
04:55 - RIP Tubby
05:00 - Flutter vs Resonance
Thanks for watching--we make these videos for you, and if you enjoy them give us a like, subscribe, and let us know if you have any feedback!
References:
[1] Clay Mathematics Institute, Millenium Problems: Navier-Stokes Equation Official Problem Statement, 2000
[2] G. M. Masters, W. P. Ela, Environmental Engineering and Science 3rd ed., 2008
[3] J. B. D. Jaffres, Trove of Climate Data Awaiting Discovery, GHCN, 2018
[4] National Research Council of Canada, NBCC, 2015
[5] Y. A. Cengel, J. M. Cimbala, Fluid Mechanics – Fundamentals and Applications 4th ed., 2017
[6] World Meteorological Association, World Record Wind Gust, 2015
[7] G. Arioli, F. Gazzola, A New Mathematical Explanation of What Triggered the Catastrophic Torsional Mode of the Tacoma Narrows Bridge, Applied Mathematical Modelling, 2015
DISCLAIMER:
Content provided for entertainment purposes only.