Draw a free-body diagram of member AG shown in Figure 3. Do not calculate values but label all forces acting on DE as horizontal and vertical components.
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
![### Free-Body Diagram of Member AG
**Objective:**
Draw a free-body diagram of member AG shown in Figure 3. Label all forces acting on DE as horizontal and vertical components.
**Description of Figure 3:**
Figure 3 depicts a structural diagram including a fixed support at point H, which is connected to member AG. There are several points of interest labeled A, B, C, D, E, G, and H. The member AG is subjected to a force and has distinct length measurements marked on the diagram.
**Key Elements in the Diagram:**
1. **Measurements and Positions:**
- The horizontal distance from A to B is 3 meters.
- The horizontal distance from B to D is 2 meters.
- The vertical distance from D to E is 1 meter.
- The horizontal distance from E to G is 1.5 meters.
2. **External Forces:**
- A downward force of 3 kN is acting at point D.
3. **Points and Members:**
- Point H is fixed to the ground.
- Member AG includes sub-members AH, BC, CG, etc.
**Instructions:**
Draw a free-body diagram focusing on member AG. This should include the following:
- **A general outline of the member AG** showing all joints and key points (A, B, D, G).
- **Force vectors**:
- At point D, show the 3 kN force acting vertically downward.
- Break down the force on DE into its horizontal and vertical components. Label these components as appropriate (e.g., Fx, Fy).
- **Indicate support reactions** at point H, which is a fixed support and can provide both horizontal and vertical reaction forces along with a moment.
**Clarification:**
Do not calculate the force values. Focus on labeling and identifying the direction of all forces and components.
### Figure 3
[Insert the described figure here]
By providing this detailed description and labeling, students and learners should be able to understand how to draw a free-body diagram of member AG and accurately label the forces acting on DE in terms of their horizontal and vertical components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2e60b5-531b-408d-ad87-91178dbcae31%2F0c340318-2d15-4d5c-ab0c-686c7145b501%2Favfn63v_processed.gif&w=3840&q=75)
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