This document contains questions and explanations from a structural analysis exam on statically determinate systems for a Degree in Architecture program. It addresses questions about whether trusses and beams are statically determinate, how to calculate axial forces, displacements, and reactions for various structural elements, and how to apply the virtual work principle and equilibrium equations to solve static determinacy problems.

1. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems

2. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
IS THIS TRUSS STATICALLY DETERMINATE?

3. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WILL C MOVE TO THE LEFT OR TO THE RIGHT? AND D?

4. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WILL C MOVE UP OR DOWN? AND D?

5. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
THE REACTION FORCES ARE USEFUL BUT NOT ESSENCIAL
TO COMPUTE THE AXIAL FORC AT AC
AXIAL FORCE AT AC?

6. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WE CAN FIND AC AXIAL FORCE APPLYING EQUILIBRIUM
EQUATIONS AT JOINT C
AXIAL FORCE AT AC?

7. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
ONCE WE KNOW THE AXIAL FORCE AT AC WE CAN ANALYZE
JOINT A TO FIND AD AXIAL FORCE
AXIAL FORCE AT AD?

8. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO FIND BOTH DISPLACEMENTS
WE HAVE TO APPLY VIRTUAL WORK PRINCIPLE
(unit load method)
HORIZONTAL DISPLACEMENT AT B?
VERTICAL DISPLACEMENT AT C?

9. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO APPLY THE UNIT LOAD METHOD WE NEED AN AUXILIARY SYSTEM

10. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO APPLY THE UNIT LOAD METHOD WE NEED AN AUXILIARY SYSTEM

11. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WE HAVE TO SOLVE THE VIRTUAL WORK PRINCIPLE EQUATION

12. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WE HAVE TO SOLVE THE VIRTUAL WORK PRINCIPLE EQUATION

13. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
IS IT STATICALLY DETERMINATE?

14. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
LET’S THINK HOW EACH OF THE JOINTS WILL MOVE OR ROTATE

15. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
REACTION FORCES: DOES THE MOMENT SIGN MAKE SENSE?

16. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO DRAW THE DIAGRAMS WE CAN CUT EACH CANTILEVER AND
ANALYZE IT AS AN ISOLATED BAR

17. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO FIND THE VALUE OF THE ROTATION AT C IS EASY TO APPLY THE
VIRTUAL WORK PRINCIPLE (unit load method)

18. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO FIND THE VALUE OF THE ROTATION AT C IS EASY TO APPLY THE
VIRTUAL WORK PRINCIPLE (unit load method)

19. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO FIND THE VALUE OF THE ROTATION AT C IS EASY TO APPLY THE
VIRTUAL WORK PRINCIPLE (unit load method)

20. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
TO FIND THE VALUE OF THE HORIZONTAL DISPLACEMENT AT C IS ALSO
EASY TO APPLY THE VIRTUAL WORK PRINCIPLE (unit load method)

21. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WE CAN APPLY SIMPLE BEAMS FORMULAS TO FIND THE VERTICAL
DISPLACEMENT AT THE END OF THE CANTILEVER

22. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
WE HAVE TO CONSIDER NOT ONLY THE EFFECT OF THE DISTRIBUTED
LOAD BUT ALSO THE EFFECT OF THE ROTATION AT C

23. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 1_statically determinate systems
DOES IT MAKE SENSE THAT D GOES UP?
TRY TO DRAW THE WHOLE SYSTEM DEFORMED SHAPE