A 17.0 m high and 11.0 m long wall and it bracing under construction are shown in the figure. Calculate the force, in newtonsexerted by each of the 10 braces if a strong wind exerts a horizontal force of 670 N on each square meter of the wall that the from the wind acts at a height halfway up the wall and that all braces exert equal forces parallel to their lengthsNeglect the thicknes of the wall
A 17.0 m high and 11.0 m long wall and it bracing under construction are shown in the figure. Calculate the force, in newtonsexerted by each of the 10 braces if a strong wind exerts a horizontal force of 670 N on each square meter of the wall that the from the wind acts at a height halfway up the wall and that all braces exert equal forces parallel to their lengthsNeglect the thicknes of the wall
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 17.0 m high and 11.0 m long wall and it bracing under construction are shown in the figure.
Calculate the force, in newtonsexerted by each of the 10 braces if a strong wind exerts a horizontal force of 670 N on each square meter of the wall that the from the wind acts at a height halfway up the wall and that all braces exert equal forces parallel to their lengthsNeglect the thicknes of the wall

Transcribed Image Text:### Understanding Wind Brace Mechanics
This diagram illustrates the mechanics of a wind brace system designed to support a freestanding wall against wind forces.
#### Key Elements:
1. **Wind Force (\( F_{\text{wind}} \))**:
- Represented by a red arrow pointing towards the wall from the left. This force acts perpendicular to the wall surface, simulating the effects of wind.
2. **Wall Height**:
- The wall stands at a total height of **17.0 meters**.
3. **Brace Placement**:
- A set of braces are placed along the wall to provide structural support.
- Each brace makes an angle of 35 degrees with the ground. This angle is critical as it determines the brace's effectiveness in resisting the lateral wind force.
4. **Brace Height**:
- Braces extend from the ground to the midpoint of the wall, which is **8.5 meters** above the ground.
5. **Quantity of Braces**:
- There are a total of **10 braces** used to secure the wall against wind-induced pressure.
### Diagram Explanation:
- **Wall Representation**: An upright blue rectangular structure indicating a vertical wall anchored to the ground.
- **Ground**: Illustrates a brown, shaded horizontal line representing the earth’s surface where the wall is erected.
- **Braces**: Indicated by inclined brown lines depicting the structural supports angled at 35 degrees, extending from the ground to half the height of the wall.
- **Wind Force Arrow**: Red arrow shows the direction and type (Fwind) of force acting on the wall which is opposed by the braces.
This setup demonstrates the importance of proper bracing techniques and geometric considerations in ensuring the structural stability of tall, freestanding walls against lateral forces such as wind.
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