3.4. Static Determinacy

Try these first

1. 1.

   Define what a statically determinate structure is.

   Hint

   Think of simplicity in terms of calculations.

2. 2.

   What is the relationship between equilibrium and static determinacy?

   Hint

   Relate to the sum of forces being equal to zero.

3. 3.

   What defines a statically determinate structure?

   • All reactions can be calculated using static equations
   • More reactions than equations
   • Requires compatibility analysis

   Hint

   Focus on the essence of static determinacy.

4. 4.

   True or False: A structure is statically indeterminate if the number of unknown reactions exceeds the number of equilibrium equations.

   • True
   • False

   Hint

   Recall the definitions for clarity.

5. 5.

   Design a structure consisting of three beams arranged in a triangular truss and calculate the necessary forces, ensuring to illustrate how indeterminate forces are calculated.

   Hint

   Start with a free-body diagram and apply static equilibrium to each beam.

6. 6.

   Analyze a frame supported by four columns and experiencing three loads applied on different beams. Determine the internal forces in all members and commentary on its static determinacy.

   Hint

   Visualize each load’s impact and how it can create tension or compression in the structure.