4. Static Determinacy and Indeterminacy

Try these first

1. 1.

   Define a statically determinate beam.

   Hint

   Think about how many supports relate to equations of balance.

2. 2.

   What does it mean for a beam to be statically indeterminate?

   Hint

   Consider how many equations you have to work with.

3. 3.

   What defines a statically determinate beam?

   • More reactions than equations
   • Equal reactions to equations
   • No reactions

   Hint

   Consider the core meaning of balance in forces.

4. 4.

   True or False: A beam with more supports than equilibrium equations is statically indeterminate.

   • True
   • False

   Hint

   Think about the implications of having excess supports.

5. 5.

   Design a statically indeterminate structure with specifications on load and supports, then analyze it for possible reactions.

   Hint

   Consider how additional constraints change the analysis.

6. 6.

   Given a set beam structure, identify whether it is statically determinate or indeterminate, providing detailed justifications.

   Hint

   A visual representation can clarify the relationships between supports and reactions.