12.3. Kinematic Relations

Try these first

1. 1.

   What is the primary variable used in the stiffness method?

   Hint

   Consider the starting point of the analysis.

2. 2.

   Define kinematic relations in your own words.

   Hint

   Think about the relationship between two key parameters.

3. 3.

   What does the stiffness method primarily focus on?

   • Forces
   • Displacements
   • Moments

   Hint

   Think about what the starting point of this method is.

4. 4.

   True or False: Kinematic relations are used mainly in the flexibility method.

   • True
   • False

   Hint

   Remember which method focuses on forces versus displacements.

5. 5.

   A clamped beam experiences a uniformly distributed load. Use the stiffness method to derive the expression for deflection at midpoint.

   Hint

   Set up your differential equation correctly and remember to satisfy boundary conditions.

6. 6.

   Develop a shear force diagram and bending moment diagram for a fixed beam subjected to a point load.

   Hint

   Draw a free body diagram initially to visualize the forces at play.