How to Solve a 3-D Truss Problem: Finding Forces at a Specific Point

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SUMMARY

The discussion focuses on solving a 3-D truss problem by finding the forces at a specific point, particularly at point DG. The key equations of equilibrium used are ƩFX=0, ƩFY=0, and ƩFZ=0. Participants shared their vectors for points B, C, and D, specifically rB(2i,-1j,0), rc(2i,1j,0), and rd(1i,0,2k). The conversation emphasizes the importance of establishing a frame of reference and recognizing that the applied forces and point DG lie in the xz plane, which simplifies the problem-solving process.

PREREQUISITES
  • Understanding of vector notation and operations
  • Familiarity with equilibrium equations in mechanics
  • Knowledge of truss structures and their analysis
  • Ability to express moments of forces using vector language
NEXT STEPS
  • Study the principles of static equilibrium in three dimensions
  • Learn about vector representation of forces and moments
  • Explore methods for analyzing truss structures, such as the method of joints
  • Investigate the application of unit vectors in force calculations
USEFUL FOR

Students in engineering mechanics, structural engineers, and anyone involved in analyzing truss systems and forces in three-dimensional space.

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Homework Statement




FIND A FORCE OF A 3-D TRUSS

Homework Equations


ƩFX=0
ƩFY=0
ƩFZ=0


The Attempt at a Solution


I figured out rB(2i,-1j,0), rc(2i,1j,0),rd(1i,0,2k) can you check if my vectors r right. After find the vectors of point B,C,D I calculated the unit vector, not I am stuck I don't what other information i need to find force at DG, need directions.
 

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You haven't declared your frame of reference, but it is implied by your equations, which are credible (rather than being 'right'). Your three relevant equations are for a two-dimensional situation. You can solve the problem by recognising that the applied forces and DG all lie in the xz plane, but if you are expected to solve the problem unnecessarily in three dimensions, how many relevant equations of equilibrium are there? Do you know how to express the moment of a force, using vector language?
 

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