FBD of Two rods pinned together

• Master1022
In summary, the conversation discusses the situation of three rods pinned together in an equilateral triangle formation and whether the pins exert reaction forces on each rod that can be split into horizontal and vertical components. The question also considers the direction of the individual components of the reaction forces for two rods that are pinned together. The suggestion is made to create a free body diagram for the pins themselves.
Master1022
I understand that this will be a simple question, but I am having a difficult time understanding what is going on in the situation when two rods are pinned together.

The situation is this: imagine that you have three rods arranged to form an equilateral triangle and each of them are pinned together at the connections.

My question is: do the pins exert reaction forces on each of the rods that can be split up into horizontal and vertical components? If so, for two rods that are pinned together, will the individual components of the reaction forces be in opposite directions?

Think about making a FBD for the pins themselves.

1. What is the purpose of analyzing the FBD of two rods pinned together?

The FBD (free body diagram) of two rods pinned together is used to determine the forces acting on the rods at the point of connection. This is important for understanding the structural stability and load distribution of the rods.

2. How do you draw the FBD of two rods pinned together?

To draw the FBD of two rods pinned together, you must first identify all the external forces acting on the rods. These can include applied loads, reactions at the pins, and the weight of the rods. Then, draw a diagram of the rods with arrows representing the magnitude and direction of each force.

3. What assumptions are made when analyzing the FBD of two rods pinned together?

The FBD of two rods pinned together assumes that the rods are in static equilibrium, meaning that the forces acting on them are balanced. It also assumes that the pins are ideal and can only support forces in the direction of the pins, and that the rods are rigid and do not deform under load.

4. How do you calculate the reactions at the pins in the FBD of two rods pinned together?

The reactions at the pins can be calculated by taking moments about one of the pins and setting the sum of the moments equal to zero. This will give you the vertical and horizontal reactions at that pin. The same process can be repeated for the other pin to determine the remaining reactions.

5. What are some common problems that can occur when analyzing the FBD of two rods pinned together?

Some common problems that can occur include forgetting to include all the external forces acting on the rods, incorrectly calculating the reactions at the pins, or not properly considering the constraints of the pins. It is important to carefully check your work and make sure all assumptions are valid to avoid these issues.

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