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.
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
Section: Chapter Questions
Problem 1.1MA
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Question
Truss Calculation
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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.

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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