STATICS truss/ math equation - joint by joint

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SUMMARY

The discussion centers on solving a truss joint equation with two variables, Fbd and Fbe, using static equilibrium equations. The equations provided are ƩFx = 0 and ƩFy = 0, leading to two linear equations: 12 = 0.957(Fbd) + 0.8(Fbe) and -3 = 0.287(Fbd) + 0.6(Fbe). The user seeks guidance on the next mathematical steps to isolate and solve for Fbd and Fbe. The solution involves correcting the signs in the second equation and substituting one variable into the other to find the unknowns.

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  • Understanding of static equilibrium principles in truss analysis
  • Familiarity with linear algebra and solving systems of equations
  • Knowledge of truss joint equations and their applications
  • Basic proficiency in mathematical manipulation of equations
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  • Practice solving systems of linear equations using substitution and elimination methods
  • Review static equilibrium concepts in truss analysis for better understanding
  • Explore software tools for structural analysis, such as SAP2000 or ANSYS
  • Study advanced topics in mechanics of materials related to truss design
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Students studying civil or structural engineering, professionals involved in structural analysis, and anyone preparing for exams in mechanics or statics.

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studying for my test, I have a truss joint equation with 2 variables

ƩFx = 0 : 4/15 (15kN) - 10/10.44(Fbd) - 4/5(Fbe) = 0

12 = .957(Fbd) + .8(Fbe)

ƩFy= 0 : 3/5 (15kN) - 6kN - 3/10.44(Fbd) + 3/5(Fbe) = 0

6 = 9 -.287(Fbd) + .6(Fbe)
-3 = .287(Fbd) + .6(Fbe)

this is where I'm stuck. I'm unsure what math move to make next to solve Fbd or Fbe.

I'm unsure, any help would be appreciated
 
Last edited:
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First correct your 2nd equation plus and minus signs. You can then solve for one unknown in terms of the other in the first equation and substitute the result into the 2nd equation to solve for the unknowns.
 

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