10.1.1.2. Force-displacement (or stress-strain) relations

Try these first

1. 1.

   What is a statically indeterminate structure?

   Hint

   Think about how many equations you can write for forces versus how many forces there are.

2. 2.

   Why is equilibrium important?

   Hint

   Consider what happens if these forces are not balanced.

3. 3.

   What is the defining characteristic of a statically indeterminate structure?

   • More unknowns than equations
   • More equations than unknowns
   • Equal unknowns and equations

   Hint

   Think about the balance of forces.

4. 4.

   True or False: Compatibility of displacements means members in a structure can have gaps.

   • True
   • False

   Hint

   Trust your understanding of connected structural components.

5. 5.

   A two-span beam is subjected to a central load. Derive the internal force distribution and plot the stress-strain relations.

   Hint

   Balance the forces and consider the moments at the supports.

6. 6.

   Analyze a frame structure under asymmetric loads and assess how redundancy aids stability.

   Hint

   Use virtual methods to visualize how the frame reacts to loads.