One grid line = 1 foot. 2. Draw the arrows and label the reaction forces. Label the points: A for the roller, B at the 180lb force, C for the pin,. 2. Find the following forces. Show your work.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Truss Calculation

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**Diagram Explanation:**

The image presents a structural diagram on a grid where each line represents 1 foot. The structure is a truss-like system with joints labeled as A, B, and C. 

- **Point A**: Represents a roller support, depicted with standard roller support symbol.
- **Point B**: Located at the coordinate (0,7), this point bears a horizontal force of 180 lbs to the left.
- **Point C**: Represents a pin support, depicted with the typical pin symbol.

Lines in the structure represent members connecting these points:
- **Member B-C**: Intrudes between points B (0,7) and C (9,1).
- **Member A-C**: Connects point A (0,0) with point C (9,1).
- **Member A-B**: Vertically connects point A (0,0) and B (0,7).

**Task Instructions:**

1. **Draw Arrows for Reaction Forces:**
   - Label reaction forces at the supports. Reaction forces are typically represented by arrows showing direction and point of action.

2. **Label Points:**
   - **A**: Roller support.
   - **B**: The location of the 180 lb force.
   - **C**: Pin support.

3. **Find the Following Forces:**
   - \( R_{Ay} \): Vertical reaction at support A.
   - \( R_{Cy} \): Vertical reaction at support C.
   - \( R_{Cx} \): Horizontal reaction at support C.
   - **Member Forces**: Forces in structural members C-B, C-A, and A-B need to be identified.

You are required to show your working process for calculating the above forces.
Transcribed Image Text:**Diagram Explanation:** The image presents a structural diagram on a grid where each line represents 1 foot. The structure is a truss-like system with joints labeled as A, B, and C. - **Point A**: Represents a roller support, depicted with standard roller support symbol. - **Point B**: Located at the coordinate (0,7), this point bears a horizontal force of 180 lbs to the left. - **Point C**: Represents a pin support, depicted with the typical pin symbol. Lines in the structure represent members connecting these points: - **Member B-C**: Intrudes between points B (0,7) and C (9,1). - **Member A-C**: Connects point A (0,0) with point C (9,1). - **Member A-B**: Vertically connects point A (0,0) and B (0,7). **Task Instructions:** 1. **Draw Arrows for Reaction Forces:** - Label reaction forces at the supports. Reaction forces are typically represented by arrows showing direction and point of action. 2. **Label Points:** - **A**: Roller support. - **B**: The location of the 180 lb force. - **C**: Pin support. 3. **Find the Following Forces:** - \( R_{Ay} \): Vertical reaction at support A. - \( R_{Cy} \): Vertical reaction at support C. - \( R_{Cx} \): Horizontal reaction at support C. - **Member Forces**: Forces in structural members C-B, C-A, and A-B need to be identified. You are required to show your working process for calculating the above forces.
The diagram illustrates a structural analysis of a simple truss system. Here's a detailed explanation:

- **Grid Background**: The graph is set on a coordinate grid ranging from 0 to 9 on the x-axis and 0 to 8 on the y-axis.

- **Structural Components**:
  - There are two horizontal beams supported by a diagonal beam, forming a right triangular shape.
  - The left vertical section spans from (1,1) to (1,8).
  - The horizontal section spans from (1,1) to (8,1).
  - The diagonal section connects the points (1,8) to (8,1).

- **Supports**:
  - A fixed support is depicted on the left end at point (1,1).
  - A roller support is shown on the right end at point (8,1).

- **Forces and Angles**:
  - An external force of magnitude 100.0 (units not specified) is applied leftwards at the top of the vertical beam at point (1,8).
  - The angle between the horizontal section and the diagonal section is 40.601°.

This diagram can be used to analyze the forces and reactions at the supports of the truss, aiding in understanding concepts of equilibrium in structural engineering.
Transcribed Image Text:The diagram illustrates a structural analysis of a simple truss system. Here's a detailed explanation: - **Grid Background**: The graph is set on a coordinate grid ranging from 0 to 9 on the x-axis and 0 to 8 on the y-axis. - **Structural Components**: - There are two horizontal beams supported by a diagonal beam, forming a right triangular shape. - The left vertical section spans from (1,1) to (1,8). - The horizontal section spans from (1,1) to (8,1). - The diagonal section connects the points (1,8) to (8,1). - **Supports**: - A fixed support is depicted on the left end at point (1,1). - A roller support is shown on the right end at point (8,1). - **Forces and Angles**: - An external force of magnitude 100.0 (units not specified) is applied leftwards at the top of the vertical beam at point (1,8). - The angle between the horizontal section and the diagonal section is 40.601°. This diagram can be used to analyze the forces and reactions at the supports of the truss, aiding in understanding concepts of equilibrium in structural engineering.
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