### Using the Method of Joints:#### Problem Statement:**a)** Find the force in members GJ, JD, JC, and GC.**b)** State whether each member is in tension or compression.#### Truss Diagram:The diagram in the image illustrates a pin-jointed truss structure subjected to external loads and supports. It consists of several members forming triangular and rectangular shapes that are connected at nodes labeled A to E and G to J.#### Load and Supports Description:- **External Loads:** - 4 kN at node A. - 6 kN at node H. - 12 kN at node G. - 9 kN at node J. - 6 kN at node E.- **Support Reactions:** - A horizontal reaction at node A. - A vertical reaction at node E.#### Structural Dimensions:- The horizontal distance between nodes A-B, B-C, C-D, and D-E is 1.5 meters each.- The vertical distance from the base to node G is 2 meters.- The diagonal and horizontal and vertical member lengths, forming triangles (e.g., H, J, G) and rectangles (e.g., A, B, C, D, E) are constructed to form stable sections.#### Steps for Solving:1. **Calculate support reactions:** Use equilibrium equations ( ∑Fx = 0, ∑Fy = 0, and ∑M = 0) to determine the reactions at the supports.2. **Apply the Method of Joints:** - Start analyzing from joints with only two unknowns. - Use the equilibrium equations for each joint ( ∑Fx = 0 and ∑Fy = 0) to solve for the forces in the truss members. - Identify whether the members are in tension (pulling apart) or compression (pushing together) based on the direction of the forces.#### Analysis of Specific Members:- **Member GJ:** Connects nodes G and J.- **Member JD:** Connects nodes J and D.- **Member JC:** Connects nodes J and C.- **Member GC:** Connects nodes G and C.#### Graph Explanation:The graph in the image is a detailed truss structure with labeled forces and dimensions, facilitating the calculation of internal forces in each member. The symmetrical nature of the truss enables the application of

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Answered: Q. 2) Using the Method of Joints: a)…

Q. 2) Using the Method of Joints: a) Find the force in members GJ, JD, JC, and GC. b) State whether each member is in tension or compression.

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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

### Using the Method of Joints:

#### Problem Statement:
**a)** Find the force in members GJ, JD, JC, and GC.
**b)** State whether each member is in tension or compression.

#### Truss Diagram:
The diagram in the image illustrates a pin-jointed truss structure subjected to external loads and supports. It consists of several members forming triangular and rectangular shapes that are connected at nodes labeled A to E and G to J.

#### Load and Supports Description:
- **External Loads:**
- 4 kN at node A.
- 6 kN at node H.
- 12 kN at node G.
- 9 kN at node J.
- 6 kN at node E.

- **Support Reactions:**
- A horizontal reaction at node A.
- A vertical reaction at node E.

#### Structural Dimensions:
- The horizontal distance between nodes A-B, B-C, C-D, and D-E is 1.5 meters each.
- The vertical distance from the base to node G is 2 meters.
- The diagonal and horizontal and vertical member lengths, forming triangles (e.g., H, J, G) and rectangles (e.g., A, B, C, D, E) are constructed to form stable sections.

#### Steps for Solving:
1. **Calculate support reactions:** Use equilibrium equations ( ∑Fx = 0, ∑Fy = 0, and ∑M = 0) to determine the reactions at the supports.

2. **Apply the Method of Joints:**
- Start analyzing from joints with only two unknowns.
- Use the equilibrium equations for each joint ( ∑Fx = 0 and ∑Fy = 0) to solve for the forces in the truss members.
- Identify whether the members are in tension (pulling apart) or compression (pushing together) based on the direction of the forces.

#### Analysis of Specific Members:
- **Member GJ:** Connects nodes G and J.
- **Member JD:** Connects nodes J and D.
- **Member JC:** Connects nodes J and C.
- **Member GC:** Connects nodes G and C.

#### Graph Explanation:
The graph in the image is a detailed truss structure with labeled forces and dimensions, facilitating the calculation of internal forces in each member. The symmetrical nature of the truss enables the application of

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