A GO 10 LBS GO 8 35 42.5 77.5 C D 70 E h 22888886 AC JOINT D ONLY 8888 BD CD X DE X Y Y LOAD TOR C
A GO 10 LBS GO 8 35 42.5 77.5 C D 70 E h 22888886 AC JOINT D ONLY 8888 BD CD X DE X Y Y LOAD TOR C
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
How do I find the x and y components, the load and the t or c for each member. Also could you put the answer like it is on the image.
![### Educational Website: Structural Analysis of Trusses
#### Instructions for Solving Truss Joints
**Objective:**
- Solve Joint A and Joint C using the Method of Joints.
- Solve Joint B using the Law of Sines.
- Solve Joint D using the Axis Rotation Method.
- Utilize the provided space to draw and set up your triangles and diagrams.
#### Diagram Explanation:
The diagram shows a simplified truss structure with points labeled A, B, C, D, E, and F. The angles and distances between points are given as follows:
- Angle between AB and BC is \(60^\circ\).
- Angle between AC and CE is \(77.5^\circ\).
- Angle labeled at BCD is \(42.5^\circ\).
- Angle at CDF is \(70^\circ\).
A \(100 \text{ lbs}\) load is applied downward at point C.
#### Data Tables
1. **Joint Forces Table (General)**
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Member} & X & Y & \text{Load} & T \text{ or } C \\
\hline
AB & & & & \\
AC & & & & \\
BC & & & & \\
BD & & & & \\
CD & & & & \\
CE & & & & \\
DE & & & & \\
DF & & & & \\
\hline
\end{array}
\]
2. **Joint D Forces Table**
\[
\begin{array}{|c|c|c|}
\hline
\text{Member} & X & Y \\
\hline
BD & & \\
CD & & \\
DE & & \\
DF & & \\
\hline
\end{array}
\]
### Methods Overview
- **Method of Joints:**
Analyzes each joint separately, applying equilibrium equations to solve for unknown forces.
- **Law of Sines:**
Useful for solving triangles where the angle and the opposite side’s lengths are known.
- **Axis Rotation Method:**
Involves simplifying the calculations by rotating the axes, often used in skewed or asymmetrical joints.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e036daf-3930-4d1e-92d7-aa35e6eb95b3%2F8f1f57eb-b2b3-45f3-98b9-ea42c6674a1f%2Fghj2nhx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Website: Structural Analysis of Trusses
#### Instructions for Solving Truss Joints
**Objective:**
- Solve Joint A and Joint C using the Method of Joints.
- Solve Joint B using the Law of Sines.
- Solve Joint D using the Axis Rotation Method.
- Utilize the provided space to draw and set up your triangles and diagrams.
#### Diagram Explanation:
The diagram shows a simplified truss structure with points labeled A, B, C, D, E, and F. The angles and distances between points are given as follows:
- Angle between AB and BC is \(60^\circ\).
- Angle between AC and CE is \(77.5^\circ\).
- Angle labeled at BCD is \(42.5^\circ\).
- Angle at CDF is \(70^\circ\).
A \(100 \text{ lbs}\) load is applied downward at point C.
#### Data Tables
1. **Joint Forces Table (General)**
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Member} & X & Y & \text{Load} & T \text{ or } C \\
\hline
AB & & & & \\
AC & & & & \\
BC & & & & \\
BD & & & & \\
CD & & & & \\
CE & & & & \\
DE & & & & \\
DF & & & & \\
\hline
\end{array}
\]
2. **Joint D Forces Table**
\[
\begin{array}{|c|c|c|}
\hline
\text{Member} & X & Y \\
\hline
BD & & \\
CD & & \\
DE & & \\
DF & & \\
\hline
\end{array}
\]
### Methods Overview
- **Method of Joints:**
Analyzes each joint separately, applying equilibrium equations to solve for unknown forces.
- **Law of Sines:**
Useful for solving triangles where the angle and the opposite side’s lengths are known.
- **Axis Rotation Method:**
Involves simplifying the calculations by rotating the axes, often used in skewed or asymmetrical joints.
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