Final answer:
The force exerted by each of the 10 braces on a wall under construction, subjected to a wind pressure of 650 N/m², is calculated to be 12,155 N assuming equal force distribution among the braces.
Step-by-step explanation:
Calculating Forces on Wall Braces Due to Wind Pressure
To calculate the force exerted by each of the 10 braces on the wall, we first need to determine the total force the wind exerts on the wall. The wall's area is 17.0 m high and 11.0 m long, giving us an area of 187.0 m². With a wind force of 650 N per square meter, the total force on the wall is calculated as follows:
Total wind force = area of wall × wind force per area = 187.0 m² × 650 N/m² = 121,550 N
This force is assumed to act at the height halfway up the wall, effectively at 8.5 meters. The wall is braced by 10 braces, which means the total horizontal force needs to be balanced by the sum of the forces in these braces. Since the wall is symmetrical, and the braces are presumed to exert equal force, we can divide the total force by the number of braces to find the force on each individual brace:
Force exerted by each brace = Total wind force / number of braces = 121,550 N / 10 = 12,155 N (assuming each brace exerts equal force)
The force exerted by each of the 10 braces is therefore 12,155 N.