Equilibrium 4-84. Determine the reactions at A and C for the beams shown in Figure P4-84. .6 m A B 8 3.4 kN 15

Elements Of Electromagnetics
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### Equilibrium

#### 4-84. Determine the reactions at A and C for the beams shown in Figure P4-84.
This problem involves analyzing a system of beams to determine the reactions at specific points due to applied forces. 

**Figure P4-84 Description:**
In Figure P4-84, there is a beam structure with the following details:

- **Points**:
  - **A**: This point is at the top left of the structure and is fixed to a horizontal surface.
  - **B**: This is a joint at the bottom left corner of the structure.
  - **C**: This point is on the right end of a horizontal beam making an angle with a surface.
  
- **Dimensions**:
  - The vertical distance from A to B is **0.6 meters**.
  - The horizontal span between B and C is **0.7 meters** (0.2 meters + 0.5 meters).
  
- **Applied Force**:
  - There is an applied force of **3.4 kN** acting downwards at point B at an angle of **15 degrees** from the vertical.

#### 4-85. Determine the reactions at A and B for the system shown in Figure P4-85.
This problem involves analyzing a different beam structure to determine the reactions at designated points due to a weight.

**Figure P4-85 Description:**
In Figure P4-85:

- **Points**:
  - **A**: Positioned at the left side of the beam system.
  - **B**: Assigned at the point where another structural component forms a joint.
  
- **Load**:
  - A weight of **800 lb** is acting downwards on the system.

Using the details provided in these figures, the objectives are to calculate the reaction forces at the specified points for stable equilibrium.

### Detailed Explanation of Diagrams:

#### Figure P4-84:
- The structure forms an L-shape with:
  - A vertical part connected to point A.
  - A horizontal part sticking out from point B to point C.
  
- The forces acting involve a downward force of **3.4 kN** at an angle of **15 degrees**. 

### Analytical Approach:
1. **Calculate Moment:**
   - Take moments about point B for Figure P4-84 to eliminate one of the reactions.
2. **Force Equilibrium:**
   -
Transcribed Image Text:### Equilibrium #### 4-84. Determine the reactions at A and C for the beams shown in Figure P4-84. This problem involves analyzing a system of beams to determine the reactions at specific points due to applied forces. **Figure P4-84 Description:** In Figure P4-84, there is a beam structure with the following details: - **Points**: - **A**: This point is at the top left of the structure and is fixed to a horizontal surface. - **B**: This is a joint at the bottom left corner of the structure. - **C**: This point is on the right end of a horizontal beam making an angle with a surface. - **Dimensions**: - The vertical distance from A to B is **0.6 meters**. - The horizontal span between B and C is **0.7 meters** (0.2 meters + 0.5 meters). - **Applied Force**: - There is an applied force of **3.4 kN** acting downwards at point B at an angle of **15 degrees** from the vertical. #### 4-85. Determine the reactions at A and B for the system shown in Figure P4-85. This problem involves analyzing a different beam structure to determine the reactions at designated points due to a weight. **Figure P4-85 Description:** In Figure P4-85: - **Points**: - **A**: Positioned at the left side of the beam system. - **B**: Assigned at the point where another structural component forms a joint. - **Load**: - A weight of **800 lb** is acting downwards on the system. Using the details provided in these figures, the objectives are to calculate the reaction forces at the specified points for stable equilibrium. ### Detailed Explanation of Diagrams: #### Figure P4-84: - The structure forms an L-shape with: - A vertical part connected to point A. - A horizontal part sticking out from point B to point C. - The forces acting involve a downward force of **3.4 kN** at an angle of **15 degrees**. ### Analytical Approach: 1. **Calculate Moment:** - Take moments about point B for Figure P4-84 to eliminate one of the reactions. 2. **Force Equilibrium:** -
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