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Equilibrium of a Rigid Body Examples

Equilibrium of a Rigid Body Examples. Example Problem. Draw the free-body diagram of the plate. Example Problem. Does this free-body diagram help?. R x1. R y1. R x2. R y2. R x3. R y3. Example Problem.

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Equilibrium of a Rigid Body Examples

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  1. Equilibrium of a Rigid BodyExamples

  2. Example Problem Draw the free-body diagram of the plate.

  3. Example Problem Does this free-body diagram help? Rx1 Ry1 Rx2 Ry2 Rx3 Ry3

  4. Example Problem You have to consider one reaction force from the gusset plate. The components of this force are Rx and Ry. Rx Ry

  5. Example Problem Draw the free-body diagram of the weight. B A

  6. Example Problem Determine the force in each supporting wire. TB TA TA and TB are the forces inside the cables and equal to reaction forces at A and B. W=50lb

  7. Example Problem

  8. Example Problem Spanner wrench F

  9. Example Problem Set up the following problem: Length A= 5 ft, and length B =10 ft and angle α= 30o. Determine the angle β of the smooth incline in order to maintain equilibrium.

  10. Example Problem Use line-of-action to solve the problem

  11. Example Problem

  12. Class Problem Set up the problem and how would you solve for the resisting force at pin A to maintain equilibrium.

  13. Class Problem Set up the problem and how would you solve for the resisting force at pin A to maintain equilibrium.

  14. Class Problem

  15. Example - Equilibrium The tension force in AC is 28 kN, determine the the required values of tension in AB and AD so that the resultant force of the three forces applied at A is vertical. Determine the resultant force.

  16. FBD - Example Free-body diagram: (Anything missing?) Add the dimensions! RA TAC TAD TAB

  17. Example-Equilibrium The vector AB is

  18. Example-Equilibrium The unit vector in the AB direction is The tension vector TAB is

  19. Example-Equilibrium The vector AD is

  20. Example-Equilibrium The unit vector in the AD direction is The tension vector TAD is

  21. Example-Equilibrium The vector AC is

  22. Example-Equilibrium The unit vector in the AC direction is The tension vector TAC is

  23. Example-Equilibrium The tension vector TAC= 28 kN is The reaction at A

  24. Example-Equilibrium Apply the equilibrium condition. Combine the vectors

  25. Example-Equilibrium Break the components of the forces: Use (3) to solve for TAB

  26. Example-Equilibrium Plug into (1), solve for magnitude of TAD

  27. Example-Equilibrium Use the values to solve for RA

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