The document discusses a structural analysis test problem involving static determinacy. It explores whether cables can support loads in different structural systems and what methods can be used to calculate displacements, bending moments, and cable forces. The compatibility method is identified as the appropriate approach to determine the cable's axial force in one of the systems.

1. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method

2. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
ARE THESE SYSTEMS STATICALLY DETERMINATE?

3. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
THE CABLE WILL WORK ONLY IF POINT B MOVES UP

4. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
IN THIS SYSTEM, THE LOAD 2P MAKES POINT B MOVE DOWN
THIS POINT CAN ONLY
MOVE ALONG THE LINE
IN THE DIRECTION
PERPENDICULAR TO B

5. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
SO THE CABLE IS NOT WORKING IN THIS SYSTEM
THIS POINT CAN ONLY
MOVE ALONG THE LINE
IN THE DIRECTION
PERPENDICULAR TO B

6. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
WE CAN CALCULATE THE BENDING MOMENTS DIAGRAM IN BARS
AB AND BC BECAUSE THE SYSTEM IS STATICALLY DETERMINATE

7. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
TO COMPUTE THE VALUE OF THE VERTICAL DISPLACEMENT AT B
WE CAN APPLY THE UNIT LOAD METHOD

8. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
WE CAN ALSO CALCULATE THE VALUE OF THE VERTICAL
DISPLACEMENT AT B APPLYING THE SIMPLE BEAM FORMULAS
EFFECT OF
THE
MOMENT
EFFECT OF THE
PUNCTUAL
LOAD
2P perpendicular
projection

9. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
IN THIS SYSTEM, THE LOAD P MAKES POINT B MOVE UP AND WE
CANNOT KNOW EXACTLY THE EFFECT OF q

10. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
IF WE CALCULATE THE VERTICAL DISPLACEMENT AT B PRODUCED
BY q, WE FIND OUT THAT B DO NOT MOVE UNDER q EFFECT

11. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
IF WE CALCULATE THE VERTICAL DISPLACEMENT AT B PRODUCED
BY P, WE CONFIRM THAT IT MOVES UP

12. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
AS POINT B MOVES UP, THE CABLE WILL WORK

13. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
TO CALCULATE THE VALUE OF THE CABLE AXIAL FORCE WE
MUST APPLY THE COMPATIBILITY METHOD

14. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
TO CALCULATE THE VALUE OF THE CABLE AXIAL FORCE WE
MUST APPLY THE COMPATIBILITY METHOD

15. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
9,14 kN
ONCE WE KNOW THE VALUE OF THE CABLE AXIAL FORCE WE
CAN DRAW THE SYSTEM BENDING MOMENTS DIAGRAM
EFFECT OF q EFFECT OF P EFFECT OF N
GLOBAL BENDING
MOMENTS DIAGRAM

16. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
Test 2_compatibility method
DISPLACEMENTS
vB can be calculated
as the cable
elongation
vB= NLcable / EA
vC and uC should be computed
applying Unit Load Method and
considering the effect of bars
AB, BC and cable DB