134k views
4 votes
Explain the deflection of a braced wing support.

User Corbfon
by
7.4k points

1 Answer

3 votes

Final answer:

The problem is to calculate the force exerted by bracing against wind load on a wall, a high school physics topic. The total wind force is found by multiplying wind pressure by wall area and then divided by the number of braces to find the individual brace force.

Step-by-step explanation:

The student's question pertains to the calculation of the force exerted by each brace on a wall subject to a wind load. This is a physics problem that involves resolving forces and understanding the principles of static equilibrium in structures.

To solve this problem, we must first calculate the total force exerted by the wind on the wall by multiplying the wind pressure (650 N/m2) by the area of the wall. Given that the wall is 17.0 m high and 11.0 m long, the total area is 187.0 m2, which when multiplied by the wind pressure results in a total wind force of 121,550 N.

This total wind force acts at half the height of the wall, which in this case is at 8.5 meters. Assuming the wall can pivot at its base, this wind force generates a moment about the base of the wall. To counteract this moment and maintain static equilibrium, the braces must exert equal and opposite forces.

As there are 10 braces, we divide the total wind force by 10 to find the force exerted by each brace. Therefore, each brace must exert a force of 12,155 N to counteract the wind force and stabilize the wall.

User Robert Crovella
by
7.9k points