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Transcript

  • 1. Today: - Mechanical Systems - 3D Book: Chapter 5.3, 5.4 & 5.7
  • 2. Between now and 2nd half of lecture: - If you have a smartphone or tablet: Download free “Responseware” app from your store - If you have a laptop please go to: rwpoll.com - Else pick up a clicker in front of class
  • 3. Recap: Static equilibrium of a body In general:
  • 4. Free-body diagram A diagrammatic representation of the isolated system treated as a single body.
  • 5. Support reactions 1. If a support allows motion in a certain direction (degree-of- freedom) then it provides no reaction force in that direction 2. Conversely, if a support constrains motion in a certain direction, a reaction could be present in that direction
  • 6. The pin A, which connects the 200 kg steel beam with center of gravity G to the column, is welded both to the beam and the column. To test the weld, the 80 kg man loads the beam by exerting a 300 N force on the rope which passes through a hole in the beam as shown. Calculate the force F and torque (couple) M supported by the pin.
  • 7. With what force with magnitude T must the person pull on the cable in order to cause the scale A to read 2000 N? The weights of the pulleys and cables are negligible. State any assumptions.
  • 8. Kinematical determinacy • When a structure is supported in such a way that (irrespective of the applied forces and moments) all free movements are prohibited, it is kinematically determinate. • Otherwise, the structure is called kinematically indeterminate or a mechanism.
  • 9. Between now and 2nd half of lecture: - If you have a smartphone or tablet: Download free “Responseware” app from your store - If you have a laptop please go to: rwpoll.com - Else pick up a clicker in front of class
  • 10. Channel Setting Instructions for ResponseCard RF 1. Press and release the "GO" button. 2. While the light is flashing red and green, enter the 2 digit channel code (i.e. channel 1 = 01, channel 21 = 21). Channel is 41 3. After the second digit is entered, Press and release the "GO" button. The light should flash green to confirm. 4. Press and release the "1/A" button. The light should flash amber to confirm.
  • 11. How are you connected? 1% 10% 0% 3% 1% 28% 19% 38% 1. Turningpoint Clicker 2. Phone through telecom provider 3. Phone through wlan (eduroam)) 4. Tablet through telecom provider 5. Tablet through wlan (eduroam) 6. Laptop through telecom provider 7. Laptop through wlan (eduroam) 8. Other
  • 12. 1. 2. 67% 33% 1. Yes 2. No Kinematically determinate?
  • 13. Kinematically determinate? 2. No
  • 14. Kinematically determinate? 1. 2. 42% 58% 1. Yes 2. No
  • 15. Kinematically determinate? 1. Yes
  • 16. Kinematically determinate? 1. 2. 35% 65% 1. Yes 2. No
  • 17. Kinematically determinate? 2. No
  • 18. Kinematically determinate? 1. 2. 51% 49% 1. Yes 2. No
  • 19. Kinematically determinate? 2. No
  • 20. 2-Dimensional structures with r constraint forces: • r < 3 The structure is kinematically indeterminate • r >=3 The structure is kinematically determinate, unless the lines of action of all reaction forces - cross the same point - are parallel
  • 21. Statical determinacy • When the number of reaction forces is just enough to guarantee kinematical determinacy, the structure is called statically determinate. • Otherwise, when reaction forces can be removed without destroying the equilibrium of the body, it is called statically indeterminate.
  • 22. Statically determinate? 1. 2. 63% 37% 1. Yes 2. No
  • 23. Statically determinate? 2. No
  • 24. If a 2-dimensional structure is kinematically determinate, • r = 3 The structure is statically determinate • r >3 The structure is statically indeterminate, ( r = number of constraint forces)
  • 25. In this course (statics) we will deal with kinematically and statically determinate structures only.