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Lecture3a(1)

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Transcript

  • 1. Today: 3D continued Book: Chapter 5.5-5.6
  • 2. Couple in 3D
  • 3. Force-Couple systems
  • 4. Equivalent Force-Couple system A single resultant force and a moment that replaces all forces and couples in a body
  • 5. Represent the resultant of the force system acting on the pipe assembly by a single force R at A and a couple M.
  • 6. Static equilibrium of a body (Newton’s first law) The equivalent force and moment in any point is equal to zero.
  • 7. Static equilibrium
  • 8. The cube with weight W=24 N and dimensions a=1 m is in equilibrium. Calculate F1 to F6.
  • 9. The cube with weight W=24 N and dimensions a=1 m is in equilibrium. Calculate F1 to F6.
  • 10. Constraints in 3 dimensions
  • 11. Constraints in 3 dimensions
  • 12. Constraints in 3 dimensions
  • 13. Constraints in 3 dimensions
  • 14. Constraints in 3 dimensions
  • 15. Constraints in 3 dimensions
  • 16. The light right-angle boom which supports the 400-kg cylinder is supported by three cables and a ball- and socket joint at O attached to the vertical x-y surface. Determine the reactions at O and the cable tensions.
  • 17. A B C O OA<OB A particle is subjected to its own weight and is kept in equilibrium by two cables AC and BC. The tension in the cables are denoted TAC and TBC respectively. Which of the following statements is true? A) TAC < TBC B) TAC > TBC C) TAC = TBC
  • 18. A B O A Consider the following experimental set-up in the International Space Station (no gravity!!!). Particle O is connected to 3 bars (links). Bar OC is subjected to a force F. Which of the following statements is true? A) OA is loaded in compression B) TOA = TOB C) TOB = 0 D) TOC > TOA C
  • 19. A particle is subjected to its own weight and is kept in equilibrium by three forces with magnitude FA, FB and FC. Points A and B are on the y-axis and C is on the x-axis. Which of the following is true? A) FC>mg B) FC>FA and FC>FB C) FA+FB=0 D) FC=0 O A C B OA = OB OC < OA OC < OB
  • 20. Design exercise Design an efficient (=low weight) structure to attach the road sign to the wall. Take into account that the sign has a considerable mass and is subject to wind loads. Schiphol airport P Long term parking P3 ?
  • 21. Design exercise Design a structure to attach the road sign to the wall. Schiphol airport P Long term parking P3
  • 22. Design exercise Design a structure to attach the road sign to the wall. Schiphol airport P Long term parking P3
  • 23. Design exercise Design a structure to attach the sign to the wall. Schiphol airport P Long term parking P3
  • 24. Design exercise Design a structure to attach the sign to the wall. Schiphol airport P Long term parking P3
  • 25. Truss structure A framework composed of members joined at their ends to form a rigid structure
  • 26. Model of a truss structure - All members are connected by pin joints (even when in reality, the members are connected by welding or riveting). - All external forces are applied at the pin connections. - All members are assumed to be straight.