For the same truss in the previous question, and using the Method of Joints, the forces in members AE and AB are closest to which values? (Hint: On scratch paper, draw a free-body diagram at point A and use the component method to determine member force components, and then the member force resultants. Include in the FBD the reaction at A determined in the previous question)
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.
![For the same truss in the previous question, and using the Method of Joints, the forces in members AE and AB are closest to which values? (Hint: On scratch paper, draw a free-body diagram at point A and use the component method to determine member force components, and then the member force resultants. Include in the FBD the reaction at A determined in the previous question.)
### Truss Diagram Explanation:
The truss diagram features a series of interconnected triangles pinned at joints A, B, C, D, E, F, and G. The load distribution and layout are as follows:
- **Span:** The total span of the truss is divided into sections—12 feet on each side from points A to B, B to C, and C to D.
- **Loads:** Vertical loads are applied at:
- Point E: 2400 pounds
- Point F: 4800 pounds
- Point G: 4800 pounds
- Symmetrical loads of 2400 pounds each at leftmost and rightmost points (unspecified location, presumably at E and symmetrical G).
- **Angles:** A 30-degree angle is indicated at the lower-left section of the truss between members at joint E.
- **Supports:** The truss is supported at points A and D.
This truss system requires analyzing the forces in specific members, particularly AE and AB, using the Method of Joints to determine internal member forces and reactions at supports.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ad0640c-f850-4fb6-8491-17f26e89b3cd%2F49599728-950f-4124-b87a-d36cbabacfda%2F5yj9emj_processed.png&w=3840&q=75)
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