Constraints and Statical Determinacy

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Homework Statement


Which of these bodies has redundant constraints for the given loading conditions? F_1 and F_2 are applied, known forces. In the first choice, the support at A is fixed and a cable connects points B and C. In the second choice, the support at A is a smooth pin, and a cable connects points B and C. In the third choice, the support at A is a single thrust bearing, and a cable connects points B and C.
Check all that apply.


Homework Equations


Redundant constraints - when a body has more supports than necessary to hold it in equilibrium it becomes statically indeterminate.


The Attempt at a Solution


the first and last seem to have redundant constraints.
 
Attachments
  • Diagram of a vertical member AB pinned at A with forces F1 applied horizontally at B and F2 applied vertically downward at B, a cable from B to C at angle theta, and dimension d along the member.
    constraints a.jpg
    2.7 KB · Views: 747
  • Diagram of a bent L-shaped body with a pin at B and a support at A, a cable from B to C, force F1 downward at B, and dimension d along the arm and vertical leg.
    constraints b.jpg
    3.2 KB · Views: 661
  • Diagram of a bent rod with points A, B and C, forces F1 and F2 applied, a thrust bearing at A, a cable from B to C, and dimensions d and d/2 marked.
    constraints c.jpg
    5.2 KB · Views: 671