10. STATIC INDETERMINANCY; FLEXIBILITY METHOD

Try these first

1. 1.

   Define what a statically indeterminate structure is.

   Hint

   Think about how many equations you have and how many unknowns are involved.

2. 2.

   What is one advantage of a statically indeterminate structure?

   Hint

   Consider what happens during a structural failure.

3. 3.

   What defines a statically indeterminate structure?

   • More equations than unknowns
   • More unknowns than equations
   • An equilibrium structure

   Hint

   Think about the relationship of unknowns to equations.

4. 4.

   Is a propped cantilever beam generally easier or more challenging to analyze than a simply supported beam?

   • True
   • False

   Hint

   Consider how constraints affect the analysis.

5. 5.

   Analyze a propped cantilever beam subjected to a uniformly distributed load. Find the deflections at various points.

   Hint

   Consider how each load interacts with the beam's supports.

6. 6.

   For a cable-supported structure with a rigid plate, derive the reactions at the supports when subjected to lateral loads.

   Hint

   Think about the balance of forces on the rigid body.