Fluid statics- pressure intensity and hydrostatic force

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SUMMARY

The discussion focuses on calculating the pressure intensity and total hydrostatic force acting on a concrete dam, specifically a 20m high dam with a vertical upstream face. The relevant equations include P = ρgh for pressure and P2 = Patm + ρgh for total pressure, where ρ represents the water density and g the acceleration due to gravity. It is established that when calculating the hydrostatic force per unit width, only the water pressure acting on the upstream face should be considered, as the downstream face is exposed to atmospheric pressure.

PREREQUISITES
  • Understanding of hydrostatics and fluid mechanics principles
  • Familiarity with the equation P = ρgh for pressure calculations
  • Knowledge of atmospheric pressure effects on fluid systems
  • Ability to plot pressure intensity graphs at specified intervals
NEXT STEPS
  • Study the derivation of hydrostatic force equations for various shapes of dams
  • Learn about the effects of atmospheric pressure on fluid statics
  • Explore numerical methods for calculating pressure distributions in fluid mechanics
  • Investigate the design considerations for concrete dams under hydrostatic pressure
USEFUL FOR

Civil engineers, hydrologists, and students studying fluid mechanics who are involved in dam design and analysis will benefit from this discussion.

l.l.h
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Homework Statement


a concrete dam, 20m in height, has a vertical upstream face. if the water level is coincident with the top of the dame, calculate and plot the pressure intensity at 4m intervals over a vertical and thus determine the total hydrostatic force acting per unit width. Show that this force F, is equal to rho*g*h^2/2

Homework Equations


P=rho*g*h
P2=Patm+rho*g*h

The Attempt at a Solution


im okay calculating from the equation however i am unsure when calculating the pressure intensity do i consider the atmospheric pressure or not
 
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l.l.h said:

Homework Statement


a concrete dam, 20m in height, has a vertical upstream face. if the water level is coincident with the top of the dame, calculate and plot the pressure intensity at 4m intervals over a vertical and thus determine the total hydrostatic force acting per unit width. Show that this force F, is equal to rho*g*h^2/2

Homework Equations


P=rho*g*h
P2=Patm+rho*g*h

The Attempt at a Solution


im okay calculating from the equation however i am unsure when calculating the pressure intensity do i consider the atmospheric pressure or not
I think you can safely assume that the downstream face of the dam is exposed to the atmosphere, thus, when asked to calculate the hydrostatic force per unit width, this force results from the water pressure alone acting on the upstream face of the dam.
 

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