How to Calculate Reactions and Forces in a Pin Jointed Frame?

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In summary, the problem involves finding the reactions at points A and E, as well as the forces in all members of the structure shown in the given image. The solution involves using equations of static equilibrium, specifically the sum of vertical forces, sum of horizontal forces, and sum of moments, to solve for the unknown values. One approach is to use trigonometry and work from the reaction values. The conversation also mentions a 3rd equation of equilibrium, which must be considered in the solution.
  • #1
warrio1010
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Homework Statement
[PLAIN]http://img847.imageshack.us/img847/1704/pinjointed.png
Calculate the reactions at A and E and the forces in all members.

The attempt at a solution

At a loss regarding the reactions, tried equating vertical and horizontal.
As for the members I guess its just a case of working from the reaction values and using sin and cos but also can't get my head around this.

Any methods/pushes in the right direction much appreciated.
 
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  • #2
In 2-dimensional work, as this one is, how many equations are there of static equilibrium? And what are they?
 
  • #3
sum of v=0 and sum of horiz=0
?
 
  • #4
Don't forget the sum of the moments = 0.
 
  • #5
I have VA as 10 but can't work out the other two, the equation would suggest that HE-HA+5=0 which leaves two unknowns so I'm stuck with that.
 
  • #6
You are forgetting about the 3rd equation of equilibrium alluded to in the prior responses.
 

Related to How to Calculate Reactions and Forces in a Pin Jointed Frame?

1. What is a pin jointed frame?

A pin jointed frame is a structural system made up of connected bars or members that are joined together at their ends with pins or hinges. This allows the members to rotate freely around the pins, creating a framework that can support loads and withstand forces.

2. What are the main components of a pin jointed frame?

The main components of a pin jointed frame are the members, the pins or hinges, and the supports. The members are the bars or beams that make up the frame, the pins or hinges are the points of connection between the members, and the supports are the points where the frame is fixed to the ground or other supporting structure.

3. How do pin jointed frames distribute forces?

Pin jointed frames distribute forces through the members and pins. When a load is applied to the frame, the members and pins transfer the forces to each other, allowing the frame to maintain its stability and support the load.

4. What are the advantages of using pin jointed frames?

Pin jointed frames offer several advantages, including their simplicity and ease of construction, their ability to support heavy loads, and their flexibility in design. They are also cost-effective and can be easily modified or expanded if needed.

5. What are some common applications of pin jointed frames?

Pin jointed frames are commonly used in engineering and construction for structures such as bridges, trusses, and cranes. They are also used in furniture, such as folding chairs and tables, and in mechanical systems, such as linkages and mechanisms.

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