4K 2K 10 Solve for DE, EF, GF, GE 22
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.
![The image shows a truss design with several key components annotated. Here is a transcription and description of the elements within the image:
**Main Truss Diagram:**
- Nodes are labeled sequentially from A to F on the bottom (horizontal) member and from B to E on the top (peaked) section.
- The truss consists of triangular sections connecting these nodes.
- The horizontal base (bottom side) is divided into five equal 10-foot segments labeled as I, H, and two unlabeled segments at the right end.
- Angles within triangles are marked, predominantly 60° between the vertical and diagonal members.
- There are two applied loads:
- A 2K (2000 lbs) load is applied vertically downward at node D.
- A 4K (4000 lbs) load is applied vertically downward at node E.
- Forces or reactions are labeled R1 at the left end and R2 at the right end of the horizontal beam.
**Instructions:**
- "Solve for DE, EF, GF, GE"
- "*For extra credit solve entire truss*"
**Additional Diagram (bottom):**
- Shows a simplified triangular truss with a load of 4K at the top node.
- Key geometic details include:
- Bottom angles of 45° at base nodes.
- Question mark next to a top angle, indicating an unknown to solve.
This truss design is typically used for structural analysis, teaching concepts such as load distribution, force calculation in members, and equilibrium in structures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdca85054-4a33-48a4-a386-30bbdf966654%2F98f74ed1-93b1-4f1a-8415-89a2b802137c%2Fvy48v8k_processed.jpeg&w=3840&q=75)
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