4- For the truss shown, compute the force in member AC and BD. 20 15' C 15 E 15' 15 35,000 lb 35,000 lb
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.
![**Problem Statement:**
4. For the truss shown, compute the force in members AC and BD.
**Diagram Description:**
The diagram shows a truss with various members and loads. It consists of a series of interconnected triangles forming a bridge-like structure.
- The truss spans from point A to point H, with supports at A and H.
- Points of interest on the truss include nodes A, B, C, D, E, F, G, and H.
- The length of each horizontal member between the nodes is labeled: 15 feet from A to C, C to E, E to G, and G to H.
- The height from C to B is 8 feet, and from E to D is 20 feet.
- Vertical loads of 35,000 lb are applied downward at nodes C and E.
- There are support reactions at A (indicated by a fixed support symbol) and H (indicated by a roller support symbol).
**Objective:**
Determine the forces in the truss members AC and BD using methods such as the method of joints or the method of sections.
The truss analysis will involve identifying zero-force members, calculating support reactions using equilibrium equations, and solving for forces in the specified members.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7b1f94a-aeb1-4e21-a353-b14674dcbf02%2F5db163a9-1061-4b3a-beca-a49087d92da8%2Fv2jvgms_processed.jpeg&w=3840&q=75)
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