Consider the simply supported truss as defined in the figure and parameter table. Find the force in members CD, HD, and HG. Follow the convention the tension is positive and compression is negative. 4₁- B L₂ P₂ - L3 - C ↓
Consider the simply supported truss as defined in the figure and parameter table. Find the force in members CD, HD, and HG. Follow the convention the tension is positive and compression is negative. 4₁- B L₂ P₂ - L3 - C ↓
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![### Truss Analysis
Consider the simply supported truss depicted in the diagram. The truss is subject to various forces and dimensions as specified in the accompanying table. You are required to determine the forces in members CD, HD, and HG. According to the standard convention, tension is considered positive while compression is negative.
#### Truss Diagram
- The truss structure consists of multiple members connected at joints.
- Supports are provided at points A and F.
- External loads are applied at joints B, C, D, and G, labeled as \(P_1\), \(P_2\), \(P_3\), and \(P_4\), respectively.
#### Parameters Table
| Parameter | Value | Units |
|-----------|-------|-------|
| \(L_1\) | 1.5 | m |
| \(L_2\) | 1.5 | m |
| \(L_3\) | 2.5 | m |
| \(L_4\) | 2 | m |
| \(L_5\) | 1.5 | m |
| \(L_6\) | 1.5 | m |
| \(P_1\) | 30 | kN |
| \(P_2\) | 50 | kN |
| \(P_3\) | 60 | kN |
| \(P_4\) | 60 | kN |
#### Calculations Required
- **The force in member CD: \[ \_\_\_\_ \] kN**
- **The force in member HD: \[ \_\_\_\_ \] kN**
- **The force in member HG: \[ \_\_\_\_ \] kN**
To analyze the truss and determine these member forces, apply methods such as the method of joints or sections, considering equilibrium conditions for each joint or section involved.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e7ba281-dd87-4688-be97-9abf26130e05%2F5218b222-a147-42c5-b8e3-eb9a17225583%2Fbxnkn1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Truss Analysis
Consider the simply supported truss depicted in the diagram. The truss is subject to various forces and dimensions as specified in the accompanying table. You are required to determine the forces in members CD, HD, and HG. According to the standard convention, tension is considered positive while compression is negative.
#### Truss Diagram
- The truss structure consists of multiple members connected at joints.
- Supports are provided at points A and F.
- External loads are applied at joints B, C, D, and G, labeled as \(P_1\), \(P_2\), \(P_3\), and \(P_4\), respectively.
#### Parameters Table
| Parameter | Value | Units |
|-----------|-------|-------|
| \(L_1\) | 1.5 | m |
| \(L_2\) | 1.5 | m |
| \(L_3\) | 2.5 | m |
| \(L_4\) | 2 | m |
| \(L_5\) | 1.5 | m |
| \(L_6\) | 1.5 | m |
| \(P_1\) | 30 | kN |
| \(P_2\) | 50 | kN |
| \(P_3\) | 60 | kN |
| \(P_4\) | 60 | kN |
#### Calculations Required
- **The force in member CD: \[ \_\_\_\_ \] kN**
- **The force in member HD: \[ \_\_\_\_ \] kN**
- **The force in member HG: \[ \_\_\_\_ \] kN**
To analyze the truss and determine these member forces, apply methods such as the method of joints or sections, considering equilibrium conditions for each joint or section involved.
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