HELP - force of wind/torque on a building

In summary, the conversation discusses the problem of determining whether a 50 story building with specific dimensions and weight will topple due to a 200 km/h wind exerting a force on its face. The question asks to calculate the torque about the potential pivot point and to assume the building is not anchored in bedrock. The conversation mentions the use of turning moments/torque and treating the building as a block, with the weight at the center of mass and the wind as a distributed load on the windward side.
  • #1
HPVic03
4
0
:eek: how do you even start with this problem:

A 50 story building is being planned. It is to be 200 m high with a base 40 m by 70 m. Its total mass will be about 1.8 107 kg and its weight therefore about 1.8 108 N. Suppose a 200 km/h wind exerts a force of 840 N/m2 over the 70 m wide face (Fig. 9-73). Calculate the torque about the potential pivot point, the rear edge of the building (where FE acts in Fig. 9-73), and determine whether the building will topple. Assume the total force of the wind acts at the midpoint of the building's face, and that the building is not anchored in bedrock. [Hint: FE in Fig. 9-73 represents the force that the Earth exerts on the building in the case where the building is just beginning to tip.]

the picture is at:

http://www.webassign.net/giancoli5/9_73.gif

I know you multiply 200 by 70 to get the area that the wind is acting on, then multiply that by 840 to get the Newtons of that, but where do u go from there? please help :frown:
 
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  • #2
So you have worked out the force acting on the building...

The question tells you to assume that the force acts at the midpoint of the face the wind is acting on, so that will help you out.

Do you know about turning moments/torque? Have you thought of treating the building as a big block?
 
  • #3
Treat the wieght (downward force) of the building at the center of mass, and the moment is from the back bottom corner to the CM.

Treat the wind as a distributed load (lateral force) on the windward side on the same moment arm of the CM.
 

What is the force of wind on a building?

The force of wind on a building is the pressure exerted on the building by the movement of air. This force is caused by the difference in air pressure between the windward and leeward sides of the building. It can vary depending on the speed and direction of the wind, as well as the size, shape, and orientation of the building.

How does wind affect a building's stability?

Wind can affect a building's stability by creating lateral forces that try to push the building over. These forces can cause the building to sway or vibrate, which can be dangerous if the building is not designed to withstand them. Wind can also create uplift forces that try to lift the building off its foundation, which can be a concern for tall or lightweight structures.

What is torque on a building?

Torque on a building is the twisting force that is applied to the building by wind. This force is caused by the combination of the wind's pressure and the building's height and shape. It can cause the building to rotate or twist, which can be problematic if the building's structure is not able to withstand these forces.

How do engineers account for wind forces when designing a building?

Engineers use various methods to account for wind forces when designing a building. This can include analyzing the building's shape and orientation to determine the wind pressure it will experience, as well as using wind tunnel testing and computer simulations to assess the building's response to wind. Engineers also incorporate design features such as bracing and aerodynamic shapes to help the building withstand wind forces.

Can wind damage a building?

Yes, wind can cause damage to a building if it is not properly designed to withstand wind forces. Strong winds can cause structural damage, such as cracks in walls or foundations, as well as damage to windows, doors, and roofs. Wind can also cause non-structural damage, such as water leaks, which can lead to further problems if not addressed. It is important for buildings to be designed and constructed to withstand the expected wind forces in their specific location.

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