12. KINEMATIC INDETERMINANCY; STIFFNESS METHOD

Try these first

1. 1.

   Define static indeterminacy.

   Hint

   Think about the conditions needed to solve structural equations.

2. 2.

   What does the stiffness method focus on?

   Hint

   Contrast with the flexibility method!

3. 3.

   What is the primary focus of the stiffness method?

   • Determining forces
   • Calculating displacements
   • Statically determinate structures

   Hint

   Remember the contrast from the flexibility method.

4. 4.

   True or False: Kinematic indeterminacy refers to the number of forces in a structure.

   • True
   • False

   Hint

   Think back to the definitions we discussed!

5. 5.

   A continuous beam has supports at both ends and is subjected to a uniform load across its length. Calculate the internal moments using the stiffness method, and explain how the degrees of freedom play a role in this calculation.

   Hint

   Draw a diagram to visualize the beam and identify the points of interest for your moments.

6. 6.

   Given a frame structure, analyze its kinematic indeterminacy when the joints can rotate freely and calculate if additional members are required to achieve static determinacy.

   Hint

   Keep track of each element in the structure while calculating!