Test 2 year 19_20_compatibility method

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 DISPLACEMENT PRODUCED
BY N WE CAN USE AGAIN THE UNIT LOAD METHOD
unknown

15. 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 SOLVE THE COMPATIBILITY METHOD

16. 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

17. 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