Given the truss below, take P₁= 3kN, P₂= 4kN, a= 2m, h=1.5m, a=30°. The reaction at support C (Nc) is 3.608kN, as shown. Determine the reactions at support A. Using the method of joints determine the forces in all members of the truss. Remember to specify whether they are in Tension or Compression.

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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how do i solve the attached civil engineering problem

### Truss Analysis

Given the truss below, the parameters are as follows:

- External forces: \( P_1 = 3 \, \text{kN} \), \( P_2 = 4 \, \text{kN} \)
- Truss dimensions: \( a = 2 \, \text{m} \), \( h = 1.5 \, \text{m} \)
- Angle: \( \alpha = 30^\circ \)

The reaction at support C (\( N_C \)) is \( 3.608 \, \text{kN} \).

Tasks:

1. Determine the reactions at support A.
2. Using the *method of joints*, determine the forces in all members of the truss.
3. Specify whether each member is in tension or compression.

### Diagram Explanation

- **Structure**: It is a simple triangular truss with points A, B, C, and D.
- **Supports**: 
  - Support at A is a pinned support.
  - Support at C is a roller support, allowing horizontal movement.
- **Forces**:
  - \( P_1 \) acts vertically downwards at point D.
  - \( P_2 \) acts vertically downwards at point B.
  - \( N_C \) acts at an angle \( \alpha = 30^\circ \) at point C.
- **Distances**:
  - Horizontal distances between A to B and B to C are both \( a = 2 \, \text{m} \).
  - The height from A/B line to point D is \( h = 1.5 \, \text{m} \).

The truss diagram includes all necessary forces and dimensions for analysis using static equilibrium equations and the method of joints.
Transcribed Image Text:### Truss Analysis Given the truss below, the parameters are as follows: - External forces: \( P_1 = 3 \, \text{kN} \), \( P_2 = 4 \, \text{kN} \) - Truss dimensions: \( a = 2 \, \text{m} \), \( h = 1.5 \, \text{m} \) - Angle: \( \alpha = 30^\circ \) The reaction at support C (\( N_C \)) is \( 3.608 \, \text{kN} \). Tasks: 1. Determine the reactions at support A. 2. Using the *method of joints*, determine the forces in all members of the truss. 3. Specify whether each member is in tension or compression. ### Diagram Explanation - **Structure**: It is a simple triangular truss with points A, B, C, and D. - **Supports**: - Support at A is a pinned support. - Support at C is a roller support, allowing horizontal movement. - **Forces**: - \( P_1 \) acts vertically downwards at point D. - \( P_2 \) acts vertically downwards at point B. - \( N_C \) acts at an angle \( \alpha = 30^\circ \) at point C. - **Distances**: - Horizontal distances between A to B and B to C are both \( a = 2 \, \text{m} \). - The height from A/B line to point D is \( h = 1.5 \, \text{m} \). The truss diagram includes all necessary forces and dimensions for analysis using static equilibrium equations and the method of joints.
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