Statics in traingles, or trusses

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SUMMARY

The discussion focuses on calculating forces in a truss system, specifically the forces in members XY and XZ. Key values provided include lengths XZ = 9.49m, ZY = 4.24m, and angles of 18.4°, 45°, and 116.6°. To find the reaction forces, participants recommend summing moments of external forces about one support and applying equilibrium equations. The method of joints is suggested for determining the forces in the truss members, starting with the simplest joint.

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  • Understanding of static equilibrium principles
  • Familiarity with truss structures and their components
  • Knowledge of the method of joints in structural analysis
  • Ability to calculate moments and forces in two dimensions
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  • Study the method of joints for truss analysis
  • Learn how to calculate reaction forces in static systems
  • Explore the concept of moment summation in mechanics
  • Review examples of force calculations in triangular trusses
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blondnc
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Hi there,

I have been given the questions below as part of some revision before we begin mechanics next term. I have looked back through my notes and I seem to be missing the notes on calculating the forces.

So far I know
XZ = 9.49m
ZY = 4.24
Angle x = 18.4
Angle y = 45
Angle Z = 116.6

I think the value of force in XY is -5Kn but I am struggling to calculate the force in rafter XZ.

Any help would be appreciated =D and thanks in advance
 

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As a general rule, find reaction forces first by summing moments of external forces, known and unknown (applied and reaction forces), about one support, = 0. You can then sum moments about the other support or use sum of forces in y direction = 0 to get both reaction forces. To then get the forces in the members, you should look up the method of joints, and start at the easiest joint. Your answer is not correct.
 

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