Static Problem for Upright Vessel

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SUMMARY

The discussion focuses on determining whether an upright cylindrical vessel with a skirt will topple under wind force. The key factors include calculating the wind force and analyzing the statics involved in equating forces. A critical insight is that as the vessel tilts, the center of mass shifts, creating a restoring couple that affects stability. The conversation also raises the need to define what constitutes "topple" and acceptable lean angles.

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  • Understanding of static equilibrium and forces
  • Knowledge of torque and center of mass concepts
  • Familiarity with wind force calculations
  • Basic principles of buoyancy and stability in fluid mechanics
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avannoord
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Hey all,

I'm currently working on a problem where whether an upright vessel will be knocked over by wind needs to be determined. The vessel is essentially an upright cylinder with a skirt on the bottom. I've attached a link to a blank diagram of it. I know how to calculate the force from the wind, but the problem lies in the statics on how to equate forces and determine if the vessel will topple. I'd appreciate any insight. Thank you!

https://postimg.org/image/ru0z1i0ev/
 
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Not my field but..

Draw it tilted over at an angle. It's clear that as it tilts the centre of mass would not remain be directly below the centre of buoyancy so there would be a restoring couple/torque. The float will lean over until the sum of the torques is zero.

Do you also need to define topple? How much lean is acceptable?
 

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