HELP - force of wind/torque on a building

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To analyze the stability of a 50-story building under wind force, calculate the total wind force acting on the building's face by multiplying the area (200 m x 70 m) by the wind pressure (840 N/m²), resulting in a substantial lateral force. The torque about the pivot point at the rear edge of the building can be determined by considering the moment arm from this pivot to the center of mass of the building. The weight of the building acts downward at its center of mass, while the wind force acts horizontally at the midpoint of the face. By comparing the calculated torques, one can assess whether the building will topple under the given wind conditions. Understanding turning moments and treating the building as a block simplifies the analysis of its stability against wind-induced forces.
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: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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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?
 
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.
 
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