Solving Wind Force on Flat Roof Using Bernoulli's Equation

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SUMMARY

The discussion focuses on calculating the net force exerted by wind on a flat roof using Bernoulli's equation. Given a wind speed of 35 m/s and a roof area of 240 m², the dynamic pressure is determined using the formula \( \frac{\text{density} \times \text{velocity}^2}{2} \). The net force is then calculated by comparing the dynamic pressure of the wind to the internal air pressure, applying the relationship \( \text{pressure} = \frac{\text{force}}{\text{area}} \).

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of dynamic pressure calculation
  • Familiarity with pressure-force-area relationships
  • Basic principles of fluid dynamics
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  • Study the application of Bernoulli's equation in real-world scenarios
  • Learn how to calculate dynamic pressure in various fluid contexts
  • Explore the effects of wind load on different roof shapes and materials
  • Investigate safety factors in structural engineering related to wind forces
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Engineers, architects, and students in physics or civil engineering who are interested in understanding the impact of wind forces on structures, particularly flat roofs.

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Homework Statement



If wind blows at 35 m/s over a house, what is the net force on the roof if its area is 240m^2 and is flat?


Homework Equations




Bernoulli's equation.


The Attempt at a Solution



I have no idea how to belgin =|
 
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I think you can use dynamic pressure = [tex]\frac{density * velocity^2}{2}[/tex]

Then use pressure = force/area.
 
To find the net force on the roof, compare the reduced pressure of the moving outside air to the pressure of the air within the house.
 

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