Determine the axial forces in member DJ.
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.
Determine the axial forces in member DJ.
![### Educational Website: Truss Structure Analysis
#### Diagram Explanation:
The image features a truss structure that is supported at one end and subject to a downward force at the opposite end. The truss is comprised of linked members forming triangular units. It is essential in structural engineering for providing stability and distributing weight.
- **Truss Members:**
- The truss is composed of members labeled A to H on the top row and E to H on the bottom row, with an additional diagonal member connecting from node H to J. The nodes (connection points) are assembled in such a way to form a stable array of triangles.
- **Force Application:**
- A downward force of 100 kN is applied at point J, the far right end of the truss. This force is indicated by a blue arrow, highlighting the point of application and its direction.
- **Dimensions:**
- The vertical distance from the top row of nodes to the bottom row (e.g., from A to E) is labeled as 1 m. This distance helps in determining the scale and the geometry of the truss.
### Key Components:
1. **Nodes:**
- Significant points where the structural members connect, labeled A, B, C, D (top row) and E, F, G, H, J (bottom and diagonal).
2. **Members:**
- Linear components that connect the nodes. They are critical in transferring forces through the truss.
3. **Load:**
- The truss supports a concentrated load of 100 kN at point J.
### Concepts:
- **Stability:**
- The arrangement of members in a series of interconnected triangles adds stability and strength to the structure.
- **Distribution of Forces:**
- Understanding how forces are distributed and managed through the truss is essential for designing safe structures.
This truss analysis is pivotal in understanding the mechanics behind bridges, roofs, and other architectural frameworks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa67aba50-2b96-4b32-9523-eddb477e2ff0%2F3c480493-872d-4df6-85cd-ab46f7d15b29%2Fsywy3a7_processed.png&w=3840&q=75)
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