4.2.1.1. Static Determinacy and Stability of Trusses

Try these first

1. 1.

   Define a statically determinate truss.

   Hint

   Think about the relationship between members, joints, and reactions.

2. 2.

   What happens if m + R < 2j in 2D?

   Hint

   Consider the implications of having fewer members.

3. 3.

   What defines a statically determinate truss?

   • A truss that can be solved with equations of equilibrium.
   • A truss with no reactions.
   • A truss that collapses under load.

   Hint

   Think about what we discussed regarding static equations.

4. 4.

   True or False: A truss is considered unstable if m + R < 2j.

   • True
   • False

   Hint

   Consider the implications of fewer connections.

5. 5.

   Design a truss with 8 members and 4 joints. Describe its stability based on m + R.

   Hint

   Apply the stability criteria.

6. 6.

   You have a truss with 10 members, no external supports, and 5 joints. Classify this truss and explain.

   Hint

   Evaluate the relationships among members and reactions.