How Do You Calculate Forces in a Truss Using the Method of Joints?

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SUMMARY

The discussion focuses on calculating forces in a truss using the Method of Joints, specifically for a truss configuration resembling two triangles affixed together. The user has already determined the reaction forces at points A and C, both at -500 lbf, and has identified the dimensions of the truss as 2 ft segments. Key equations utilized include Efx=0, Efy=0, and Em=0, alongside trigonometric functions such as sine, cosine, and tangent. The user seeks clarification on the configuration and support conditions of the truss members.

PREREQUISITES
  • Understanding of the Method of Joints in structural analysis
  • Knowledge of static equilibrium equations (Efx=0, Efy=0, Em=0)
  • Familiarity with trigonometric functions (sine, cosine, tangent)
  • Basic concepts of truss design and member forces
NEXT STEPS
  • Study the Method of Joints in-depth for truss analysis
  • Learn how to apply static equilibrium equations to solve for unknown forces
  • Explore the implications of support conditions on truss stability
  • Review examples of truss configurations and their force calculations
USEFUL FOR

Engineering students, structural analysts, and professionals involved in civil engineering or architectural design who are looking to deepen their understanding of truss force calculations.

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Homework Statement



i am trying to figure out the forces of the different members of this truss in which looks like a a square that is split into two triangles and is affixed to another triangle the same size I have already found the moment of the reactions and already found the reaction forces as well.

Code:
  A -500lbf  C -500lbf

                              2ft           2ft
                            --------l----------- l Pin Reaction E
                              \         l          /     l
                                \       l        /       l   2ft
                                  \     l      /         l
                                    \   l    /           l
                                      \ l  /---------l Roller reaction D
                                        B

Homework Equations


sin
cos
tan
Efx=0
Efy=0
Em=0

The Attempt at a Solution


more or less it is a question about the method of joints but I am not exactly sure how you do it. Also the triangles are all 45° 45° and 90°
 
Last edited:
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It is not clear, is your truss is made of 4 straight pieces, or 7? To what do the lbf refer?

If you wish to use ASCII art (and I don't recommend it), then you must include it within [code] [/code] pair. Otherwise the forum software squashes strings of spaces into a single space. You'll find it easiest if you also use Courier fixed-size font.
Code:
 [font="courier new"]
                       |
-----------------------|
\          |          /|
  \        |        /  |
    \      |      /    |
      \    |    /      |
        \  |  /        |
          \|/          |
-----------------------'
                                   [/font]
 
thank you and your picture is pretty much accurate without that line extending after B though
 
Point B is unsupported and in mid-air, is it?

What and where are points A and C?
 

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