Resultant thrust and overturning turnning moments

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SUMMARY

The discussion focuses on calculating the resultant thrust and overturning moment for a vertical sluice gate measuring 5 meters wide and 3 meters deep, with water density at 1000 kg/m³. Participants confirm the use of Newton's laws, specifically addressing the need to relate force to pressure for accurate calculations. The correct approach involves using the equation for moment, M = (F)(d), alongside pressure calculations to determine the force acting on the gate. This ensures a comprehensive understanding of the forces at play in static fluid mechanics.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with Newton's laws of motion
  • Knowledge of pressure calculations in fluids
  • Ability to apply the moment equation, M = (F)(d)
NEXT STEPS
  • Study hydrostatic pressure calculations for submerged surfaces
  • Learn about the derivation of thrust on sluice gates
  • Explore the concepts of static equilibrium in fluid systems
  • Investigate the effects of gate dimensions on resultant forces
USEFUL FOR

Students and professionals in civil engineering, hydraulic engineering, and anyone involved in the design and analysis of sluice gates and fluid systems.

speedy46
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Homework Statement



A vertical sluice gate is 5 meters wide and 3 meters deep. calculate the resultant thrust and overturnning moment when the water is level with the top edge of the gate.
Density water = 1000kg/m^3

Homework Equations



Newton's First Law F = ma

Moment = Force x Distance or M = (F)(d)

The Attempt at a Solution



I wondered if theses where the correct equations to use.
 
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Hi speedy46! :smile:
speedy46 said:
Newton's First Law F = ma

Moment = Force x Distance or M = (F)(d)

I wondered if theses where the correct equations to use.

F = ma is Newton's second law … and it's a law of motion, and there's no motion here, is there? :smile:

Yes, moment = force x distance, but you'll also need an equation relating force (which you don't know) to pressure (which you do). :wink:
 

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