4.2.1. Determinacy and Stability

Try these first

1. 1.

   Define a statically determinate truss.

   Hint

   Think about how we can analyze forces using equilibrium.

2. 2.

   What does it mean if a truss is statically indeterminate?

   Hint

   Consider the importance of reactions and unknowns.

3. 3.

   What does a statically determinate truss allow for?

   • Only tension forces
   • Only compression forces
   • Forces calculated from statics

   Hint

   Think about the relationship of forces in a truss.

4. 4.

   True or False: An unstable truss will not maintain its shape under load.

   • True
   • False

   Hint

   Consider the definition of a stable structure.

5. 5.

   Design a truss bridge with a specific load requirement, ensuring it is both statically determinate and stable. Consider the number of joints and members carefully.

   Hint

   Remember to sketch the truss to visualize the member placement.

6. 6.

   Analyze a given truss drawing that shows forces acting on the joints. Determine if it is stable, indeterminate, or determinate. List your reasoning.

   Hint

   Count all joints, members, and reactions to evaluate statics.