Method of Joints Truss Analysis

In summary, when using the method of joints truss analysis, it is important to consider the forces at each joint as either tension or compression. Tension forces always pull away from the joint, while compression forces push towards the joint. It is crucial to use the correct convention for the direction of forces in order to accurately analyze the truss.
  • #1
member 392791
Hello,

I was curious, for the method of joints truss analysis, when considering a joint, is it assumed that all forces at that joint are radiating away from the joint (meaning tension), even if it was already found from a previous joint that the member is acting in compression?

I'm not sure if this question is clear or not, I mean say you have a joint A and B..it was found that member AB is in compression. Does that mean when analyzing joint B, you still consider the force of member AB as tension, or do you keep the negative sign when trying to find the member AC?Also, say member AF is in tension, thus has a positive sign for force. Does that mean member FA is tension as well, or is it now compression?
 
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  • #2
A member can be in tension or compression, but not both at the same time! Tension forces on members pull away from the joint always. Don't assign a positive number to them. Sometimes they act upward and sometimes downward.
So if a tension force in member AB pulls upward on joint A, the tension force in member BA pulls downward on joint B, away from the joint. If you don't use this convention ( actually an application of Newtons laws) correctly, you will be hopelessly devoured by the plus and minus sign.
 
  • #3
When you draw your diagram, keep the arrows in the conventional directions. Don't flip them when you find out the quantity is negative. Build all your equations with the arrows in their conventional directions and then once you've solved everything, then you can see what is tension or compression.
 

1. What is the Method of Joints in Truss Analysis?

The Method of Joints is a structural analysis technique used to determine the internal forces in a determinate truss structure. It involves analyzing the equilibrium of forces at the joints of the truss to calculate the axial forces in each member.

2. How do you determine the reactions at the supports in a truss using the Method of Joints?

To determine the reactions at the supports, the truss structure is isolated and the equilibrium of forces is analyzed at each support. The reactions can then be calculated using the equations of static equilibrium.

3. What are the assumptions made in the Method of Joints?

The Method of Joints assumes that the truss structure is a pin-jointed frame, meaning that all connections between members are hinged and can only transfer axial forces. It also assumes that the truss is loaded only at the joints and that the members are connected without any friction.

4. Can the Method of Joints be used for both determinate and indeterminate truss structures?

No, the Method of Joints can only be used for determinate truss structures. Indeterminate trusses require additional analysis techniques, such as the Method of Sections, to determine the internal forces.

5. What are the limitations of the Method of Joints?

The Method of Joints is limited to analyzing truss structures only and cannot be used for other types of structures. It also assumes that all external loads and support reactions are applied at the joints, which may not always be the case in real-life structures. Additionally, the Method of Joints does not consider the effects of shear and bending stresses in the members.

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