10.1.1.3. Compatibility of displacements

Try these first

1. 1.

   What characterizes a statically indeterminate structure?

   Hint

   Think about the equations related to forces.

2. 2.

   Define compatibility of displacements.

   Hint

   Consider how displacement affects stress.

3. 3.

   What indicates a statically indeterminate structure?

   • A single unknown internal force
   • More unknowns than equations
   • Equilibrium conditions are satisfied

   Hint

   Reflect on the definitions we discussed.

4. 4.

   True or False: Compatibility of displacements prevents structural failure.

   • True
   • False

   Hint

   Think about the principles behind structural integrity.

5. 5.

   Analyze a statically indeterminate frame structure and identify compatibility issues that could arise.

   Hint

   Examine load distributions across connected members.

6. 6.

   Using a propped cantilever beam, calculate the displacements due to various load scenarios while ensuring compliance with displacement compatibility.

   Hint

   Consider both bending moments and displacement contributions.