What Is the Force on a Square Roof During High Winds with Bernoulli's Equation?

Click For Summary
SUMMARY

The force exerted on a square roof during high winds can be calculated using Bernoulli's Equation. In this discussion, a square roof with a side length of 22.0 m and wind speed of 29.0 m/s resulted in a calculated force of 246,356 N, using an air density of 1.21 kg/m³. The formula applied was F = (Pi - Po)A = 0.5 d V², where d represents the air density and V the wind speed. The calculation confirms the significant impact of wind pressure on structural integrity.

PREREQUISITES
  • Understanding of Bernoulli's Equation
  • Knowledge of atmospheric pressure concepts
  • Familiarity with basic physics of forces
  • Ability to perform calculations involving density and area
NEXT STEPS
  • Research the implications of wind load on building design
  • Learn about different methods for calculating wind pressure on structures
  • Explore advanced applications of Bernoulli's Equation in fluid dynamics
  • Investigate building codes related to wind resistance
USEFUL FOR

Engineers, architects, and construction professionals involved in structural design and safety assessments during high wind events.

2Pac
Messages
37
Reaction score
0
During high winds, the atmospheric pressure inside a house may blow off the roof because of the reduced pressure outside. Calculate the force on a square roof of side 22.0 m if the wind speed over the roof is 29.0

i used bernoulli's equation and got an answer of... 246356N
i used 1.21 as the density of air. could someone check my work please?
 
Last edited:
Physics news on Phys.org
anyone care to try?
 
Pi = Po + 0.5d V^2
F = (Pi-Po)A = 0.5 d V^2 ; d is the density = 1.293 kg/m^3
 

Similar threads

Clarifying the Definition Total/Stagnation Pressure (p₀) in Bernoulli'
  • · Replies 2 ·
Replies
2
Views
1K
Bernoulli vs real life experiment
  • · Replies 16 ·
Replies
16
Views
2K
What's the pressure long before the fluid exits a pipe?
  • · Replies 13 ·
Replies
13
Views
1K
Bernoulli’s Equation and External Forces
  • · Replies 4 ·
Replies
4
Views
2K
Bernoulli equation / fluid flow / finding height
  • · Replies 6 ·
Replies
6
Views
3K
How Does Bernoulli's Equation Apply to Hurricane Wind Pressures on a Roof?
  • · Replies 4 ·
Replies
4
Views
15K
Fluid Mechanics; Lift Force on a Roof; Bernoulli's Equation
  • · Replies 2 ·
Replies
2
Views
11K
Formula derivation connecting vertical water flowrate & horizontal distance moved by a suspended sphere
  • · Replies 207 ·
7
Replies
207
Views
9K
Estimate stopping force of roof versus tornado
  • · Replies 20 ·
Replies
20
Views
3K
How much force is exerted on the roof?
  • · Replies 2 ·
Replies
2
Views
4K