Getting Started: Solving Joint Problems in Structural Mechanics

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Homework Help Overview

The discussion revolves around a structural mechanics problem involving the method of joints and support reactions in a truss system. Participants are attempting to analyze the forces acting on the structure and clarify the nature of the supports involved.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants express uncertainty about how to begin the problem, particularly in analyzing support reactions and identifying forces. There is discussion about the nature of the supports, with some questioning which support behaves as a roller. Others mention the conditions for static determinacy and the implications of free joints.

Discussion Status

The conversation is ongoing, with participants sharing insights about the characteristics of the truss and the implications of zero force members. Some guidance has been offered regarding the conditions for static determinacy and the method of joints, but no consensus has been reached on the initial steps to take.

Contextual Notes

Participants note the complexity of the problem due to the presence of multiple supports and joints, as well as the confusion caused by the sketches provided. There is an acknowledgment of the need to clarify the definitions and roles of the supports in the context of static determinacy.

suspenc3
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Homework Statement



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Homework Equations





The Attempt at a Solution



Im not really sure how to get started. I understand the method of Joints, and all the solved examples I can follow. I started by analyzing the support reactions, and I am stuck already. There is the force P_2, and then there are going to be the following forces: G_x, G_y, A_x, A_y?

Any advice on how to start this problem would be appreciated.
 

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suspenc3 said:
Im not really sure how to get started. I understand the method of Joints, and all the solved examples I can follow. I started by analyzing the support reactions, and I am stuck already. There is the force P_2, and then there are going to be the following forces: G_x, G_y, A_x, A_y?

Any advice on how to start this problem would be appreciated.

Actually, one of the supports should be a roller support, since I assume this is supposed to be a statically determinate system.

Hint: after analyzing the supports, which one is equivalent to a roller support, i.e. which one has only the horizontal component of the reaction?
 
Last edited:
There are two pin joints (no moment), and the far right side is free.
 
Im going to guess that G can be considered a roller?
 
And since the far right side is free, what does this tell me?
 
radou said:
Actually, one of the supports should be a roller support, since I assume this is supposed to be a statically determinate system.

Hint: after analyzing the supports, which one is equivalent to a roller support, i.e. which one has only the horizontal component of the reaction?

That condition is not needed in order for the truss to be statically determinate.

Remember in order for a truss to be statically determinate the number of bars (each carries a force) + the number of reactions must be equal to twice the number of joints (2 equations of equilibrium for each joint).

In this case, there are 10 bars, and 4 reactions, and 7 joints. This truss is statically determinate.

I would solve it by using the section method and start by cutting the members BC, FC and EF.

supenc3. are you familiar with zero force members? that's what astronuc is implying. Note that if you use the joint method at D, and sum forces on y, you will get that DC must be a zero force member.
 
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No, I am not really familiar with Zero Force members, but it is my book so Il try to look over it. Il go and try it again...Thanks
 
Cyclovenom said:
Remember in order for a truss to be statically determinate the number of bars (each carries a force) + the number of reactions must be equal to twice the number of joints (2 equations of equilibrium for each joint).

I know, I actually went wrong about the roller support fact; if it was a roller support, it would be a mechanism.

Edit: I dislike sketches of this kind, since for some reason, they tend to confuse me.
 

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