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Fachadas de alto desempeño
apoyadas en el uso de tecnologías
computacionales
Rodrigo Velasco
Computación = Procesamiento de datos
Como diseño computacional se entiende la interrelación ordenada de datos –
variables externas y parámetros de diseño–, para obtener como resultado la
configuración de un modelo de alto desempeño.
Procesos
En el diseño de fachadas, este trabajo implica, principalmente, cuatro procesos
computacionales interrelacionados:
Parametrización, Simulación, Optimización y Fabricación.
Parametrización
El primer paso en cualquier aplicación de diseño
computacional consiste en estructurar los datos –
parámetros fijos y variables– a ser considerados en
el proceso de diseño.
Simulación y optimización
La simulación implica imitar condiciones reales mediante
la ejecución de procedimientos equivalentes dentro de un
entorno virtual .
Al simular el comportamiento de cada una de las
diferentes posibilidades de configuración de diseño –
cambiando los valores de cada parámetro empleado–se
encuentran aquellas con mejor desempeño, este proceso
se denomina optimización
Fabricación
Este trabajo de manufactura genéricamente
denominado CNC (Control Numérico
Computacional) implica el traslado de datos
numéricos (dimensiones espaciales) para
controlar máquinas que procesan materiales
mediante corte, troquelado, punzonado y/o
taladrado, entre otros.
Proyecto de fachada para SEM
ingeniería
(2013)
Parametrización
Simulación y optimización
0. 18.0
1. 6.0
2. 5.0
3. 6.0
4. 6.0
5. 5.0
6. 30.0
7. 36.0
8. 43.0
9. 43.0
10. 40.0
11. 27.0
12. 22.0
13. 33.0
14. 34.0
15. 28.0
16. 38.0
17. 23.0
18. 18.0
19. 26.0
20. 24.0
21. 20.0
22. 22.0
23. 22.0
24. 11.0
25. 19.0
26. 18.0
27. 18.0
28. 19.0
29. 12.0
30. 14.0
31. 18.0
32. 19.0
33. 20.0
34. 23.0
35. 16.0
Solar Irradiation Inside
(Kwh/m2)
Average 21.722222
Surface_Area to Covered_Area Ratio
1.49
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)442.338192
HDPE (6mm)702.195676
PVC (3mm)1025.238693
Aluminium (Gauge 20)1088.230497
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm) 19.638375
Steel (Gauge 16) 32.85619
PVC (3mm) 52.726561
Aluminium (Gauge 20) 84.547139
Neutral_Square (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 99
Heating 0.1
Total 77.2
(Kwh/m2-a)
11
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
0. 23.0
1. 5.0
2. 3.0
3. 2.0
4. 2.0
5. 2.0
6. 21.0
7. 21.0
8. 20.0
9. 21.0
10. 22.0
11. 13.0
12. 14.0
13. 17.0
14. 19.0
15. 18.0
16. 16.0
17. 13.0
18. 14.0
19. 17.0
20. 17.0
21. 17.0
22. 13.0
23. 12.0
24. 16.0
25. 18.0
26. 14.0
27. 14.0
28. 13.0
29. 9.0
30. 14.0
31. 14.0
32. 17.0
33. 15.0
34. 12.0
35. 11.0
Solar Irradiation Inside
(Kwh/m2)
Average 14.138889
Surface_Area to Covered_Area Ratio
1.53
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16) 455.165915
HDPE (6mm) 722.559217
PVC (3mm) 1054.970419
Aluminium (Gauge 20) 1119.788973
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)20.207884
Steel (Gauge 16)33.809013
PVC (3mm)54.255622
Aluminium (Gauge 20)86.998989
Optimized_Pos. Square (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 89
Heating 0.2
Total 89.2
(Kwh/m2-a)
9.9
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
0. 23.0
1. 67.0
2. 4.0
3. 5.0
4. 62.0
5. 17.0
6. 13.0
7. 21.0
8. 20.0
9. 21.0
10. 21.0
11. 12.0
12. 13.0
13. 23.0
14. 20.0
15. 16.0
16. 19.0
17. 14.0
18. 10.0
19. 15.0
20. 16.0
21. 13.0
22. 15.0
23. 9.0
24. 10.0
25. 13.0
26. 14.0
27. 15.0
28. 10.0
29. 8.0
30. 10.0
31. 12.0
32. 15.0
33. 16.0
34. 11.0
35. 9.0
Solar Irradiation Inside
(Kwh/m2)
Average 17
Surface_Area to Covered_Area Ratio
2.128493
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16) 629.850158
HDPE (6mm) 999.864053
PVC (3mm) 1459.848514
Aluminium (Gauge 20) 1549.543228
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm) 27.963295
Steel (Gauge 16) 46.784286
PVC (3mm) 75.077924
Aluminium (Gauge 20) 120.387589
Neutral_Triangular (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 25
Heating 0.8
Total 26
(Kwh/m2-a)
2.9
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 3.0
1. 14.0
2. 10.0
3. 1.0
4. 15.0
5. 1.0
6. 10.0
7. 8.0
8. 10.0
9. 7.0
10. 9.0
11. 5.0
12. 6.0
13. 5.0
14. 8.0
15. 7.0
16. 4.0
17. 4.0
18. 5.0
19. 5.0
20. 4.0
21. 7.0
22. 6.0
23. 2.0
24. 7.0
25. 7.0
26. 7.0
27. 6.0
28. 4.0
29. 2.0
30. 6.0
31. 8.0
32. 7.0
33. 6.0
34. 5.0
35. 3.0
Solar Irradiation Inside
(Kwh/m2)
Average 6.22
Surface_Area to Covered_Area Ratio
2.232328
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)660.576182
HDPE (6mm)1048.64049
PVC (3mm)1531.064406
Aluminium (Gauge 20)1625.134703
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)29.327431
Steel (Gauge 16)49.066567
PVC (3mm)78.740455
Aluminium (Gauge 20)126.260465
Optimized_Pos. Triangular (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 21
Heating 1
Total 22
(Kwh/m2-a)
2.4
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
0. 15.0
1. 35.0
2. 131.0
3. 5.0
4. 33.0
5. 90.0
6. 26.0
7. 35.0
8. 34.0
9. 39.0
10. 42.0
11. 27.0
12. 24.0
13. 29.0
14. 30.0
15. 37.0
16. 29.0
17. 22.0
18. 17.0
19. 18.0
20. 19.0
21. 19.0
22. 21.0
23. 14.0
24. 12.0
25. 15.0
26. 12.0
27. 15.0
28. 14.0
29. 12.0
30. 10.0
31. 16.0
32. 14.0
33. 15.0
34. 13.0
35. 11.0
Solar Irradiation Inside
(Kwh/m2)
Average 26
Surface_Area to Covered_Area Ratio
1.716456
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16) 507.922641
HDPE (6mm) 806.308587
PVC (3mm) 1177.248436
Aluminium (Gauge 20) 1249.579887
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)22.550111
Steel (Gauge 16)37.7277
PVC (3mm)60.544205
Aluminium (Gauge 20)97.082745
Neutral_Rhombic (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 32
Heating 0.7
Total 33
(Kwh/m2-a)
3.6
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 4.0
1. 4.0
2. 59.0
3. 3.0
4. 3.0
5. 2.0
6. 22.0
7. 26.0
8. 24.0
9. 22.0
10. 21.0
11. 8.0
12. 18.0
13. 20.0
14. 18.0
15. 19.0
16. 11.0
17. 11.0
18. 14.0
19. 15.0
20. 17.0
21. 11.0
22. 10.0
23. 8.0
24. 13.0
25. 9.0
26. 18.0
27. 13.0
28. 7.0
29. 7.0
30. 11.0
31. 12.0
32. 15.0
33. 13.0
34. 10.0
35. 8.0
Solar Irradiation Inside
(Kwh/m2)
Average 14
Surface_Area to Covered_Area Ratio
1.778481
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)526.276814
HDPE (6mm)835.445163
PVC (3mm)1219.789207
Aluminium (Gauge 20)1294.734411
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)23.364976
Steel (Gauge 16)39.09102
PVC (3mm)62.732016
Aluminium (Gauge 20)100.590904
Optimized_Pos. Rhombic (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 30
Heating 0.6
Total 30.6
(Kwh/m2-a)
3.4
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
{0;0}
0. 19.0
1. 6.0
2. 5.0
3. 5.0
4. 6.0
5. 11.0
6. 28.0
7. 37.0
8. 44.0
9. 33.0
10. 36.0
11. 27.0
12. 21.0
13. 25.0
14. 28.0
15. 29.0
16. 33.0
17. 25.0
18. 19.0
19. 23.0
20. 19.0
21. 24.0
22. 20.0
23. 17.0
24. 12.0
25. 18.0
26. 18.0
27. 20.0
28. 18.0
29. 14.0
30. 13.0
31. 18.0
32. 15.0
33. 17.0
34. 16.0
35. 13.0
Solar Irradiation Inside
(Kwh/m2)
Average 20
Surface_Area to Covered_Area Ratio
1.509837
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16) 446.781236
HDPE (6mm) 709.248846
PVC (3mm) 1035.536652
Aluminium (Gauge 20) 1099.161174
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm) 19.835632
Steel (Gauge 16) 33.186212
PVC (3mm) 53.256171
Aluminium (Gauge 20) 85.396368
Neutral_Hexagonal (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 33
Heating 0.6
Total 34
(Kwh/m2-a)
3.8
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 31.0
1. 13.0
2. 19.0
3. 34.0
4. 2.0
5. 1.0
6. 17.0
7. 21.0
8. 22.0
9. 22.0
10. 19.0
11. 11.0
12. 17.0
13. 17.0
14. 20.0
15. 18.0
16. 19.0
17. 11.0
18. 14.0
19. 16.0
20. 15.0
21. 17.0
22. 13.0
23. 10.0
24. 9.0
25. 13.0
26. 12.0
27. 10.0
28. 10.0
29. 9.0
30. 9.0
31. 14.0
32. 16.0
33. 12.0
34. 11.0
35. 8.0
Solar Irradiation Inside
(Kwh/m2)
Average 14.7
Surface_Area to Covered_Area Ratio
1.564211
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)462.871177
HDPE (6mm)734.791037
PVC (3mm)1072.829452
Aluminium (Gauge 20)1138.745284
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)20.549973
Steel (Gauge 16)34.381348
PVC (3mm)55.174086
Aluminium (Gauge 20)88.471749
Optimized_Pos. Hexagonal (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 21
Heating 0.9
Total 23
(Kwh/m2-a)
2.5
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
0. 63.0
1. 7.0
2. 2.0
3. 6.0
4. 8.0
5. 16.0
6. 31.0
7. 28.0
8. 23.0
9. 22.0
10. 21.0
11. 27.0
12. 18.0
13. 22.0
14. 16.0
15. 15.0
16. 17.0
17. 14.0
18. 10.0
19. 11.0
20. 10.0
21. 15.0
22. 11.0
23. 7.0
24. 8.0
25. 8.0
26. 9.0
27. 11.0
28. 10.0
29. 6.0
30. 9.0
31. 13.0
32. 15.0
33. 13.0
34. 10.0
35. 8.0
Solar Irradiation Inside
(Kwh/m2)
Average 15
Surface_Area to Covered_Area Ratio
2.5876
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)765.706031
HDPE (6mm)1215.530275
PVC (3mm)1774.731336
Aluminium (Gauge 20)1883.7728
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)33.994854
Steel (Gauge 16)56.875448
PVC (3mm)91.271897
Aluminium (Gauge 20)146.354656
Neutral_Delaunay (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 27
Heating 0.9
Total 28
(Kwh/m2-a)
3
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 24.0
1. 12.0
2. 17.0
3. 12.0
4. 15.0
5. 14.0
6. 36.0
7. 16.0
8. 13.0
9. 8.0
10. 10.0
11. 11.0
12. 14.0
13. 12.0
14. 12.0
15. 11.0
16. 8.0
17. 5.0
18. 13.0
19. 7.0
20. 10.0
21. 5.0
22. 6.0
23. 4.0
24. 4.0
25. 8.0
26. 10.0
27. 7.0
28. 5.0
29. 3.0
30. 7.0
31. 11.0
32. 8.0
33. 8.0
34. 6.0
35. 4.0
Solar Irradiation Inside
(Kwh/m2)
Average 10.5
Surface_Area to Covered_Area Ratio
2.699335
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)798.770069
HDPE (6mm)1268.018224
PVC (3mm)1851.366208
Aluminium (Gauge 20)1965.116204
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)35.462789
Steel (Gauge 16)59.331393
PVC (3mm)95.213119
Aluminium (Gauge 20)152.674413
Optimized_Pos. Delaunay (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 25
Heating 0.8
Total 26
(Kwh/m2-a)
3
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
{0;0}
0. 43.0
1. 140.0
2. 253.0
3. 14.0
4. 6.0
5. 21.0
6. 38.0
7. 53.0
8. 53.0
9. 48.0
10. 46.0
11. 30.0
12. 27.0
13. 37.0
14. 32.0
15. 33.0
16. 33.0
17. 25.0
18. 15.0
19. 18.0
20. 23.0
21. 22.0
22. 22.0
23. 13.0
24. 15.0
25. 17.0
26. 17.0
27. 19.0
28. 16.0
29. 17.0
30. 12.0
31. 21.0
32. 18.0
33. 20.0
34. 18.0
35. 13.0
Solar Irradiation Inside
(Kwh/m2)
Average 35
Surface_Area to Covered_Area Ratio
1.410056
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)417.25478
HDPE (6mm)662.376678
PVC (3mm)967.101084
Aluminium (Gauge 20)1026.520849
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm) 18.524753
Steel (Gauge 16) 30.993033
PVC (3mm) 49.736627
Aluminium (Gauge 20) 79.752774
Neutral_Voronoi (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 36
Heating 0.6
Total 36
(Kwh/m2-a)
4
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 43.0
1. 30.0
2. 48.0
3. 5.0
4. 3.0
5. 17.0
6. 45.0
7. 40.0
8. 33.0
9. 30.0
10. 28.0
11. 14.0
12. 28.0
13. 28.0
14. 26.0
15. 22.0
16. 18.0
17. 15.0
18. 13.0
19. 20.0
20. 20.0
21. 18.0
22. 11.0
23. 10.0
24. 12.0
25. 14.0
26. 17.0
27. 16.0
28. 11.0
29. 9.0
30. 16.0
31. 16.0
32. 16.0
33. 18.0
34. 12.0
35. 12.0
Solar Irradiation Inside
(Kwh/m2)
Average 20.3
Surface_Area to Covered_Area Ratio
1.445016
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)427.599788
HDPE (6mm)678.798999
PVC (3mm)991.078445
Aluminium (Gauge 20)1051.971405
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)18.984038
Steel (Gauge 16)31.761444
PVC (3mm)50.969749
Aluminium (Gauge 20)81.730086
Optimized_Pos. Voronoi (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 35
Heating 0.6
Total 36
(Kwh/m2-a)
4
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
{0;0}
0. 31.0
1. 11.0
2. 8.0
3. 8.0
4. 7.0
5. 7.0
6. 25.0
7. 29.0
8. 17.0
9. 18.0
10. 21.0
11. 14.0
12. 16.0
13. 13.0
14. 10.0
15. 14.0
16. 13.0
17. 11.0
18. 8.0
19. 10.0
20. 13.0
21. 9.0
22. 8.0
23. 8.0
24. 7.0
25. 9.0
26. 10.0
27. 9.0
28. 7.0
29. 10.0
30. 7.0
31. 10.0
32. 8.0
33. 10.0
34. 9.0
35. 6.0
Solar Irradiation Inside
(Kwh/m2)
Average 12
Surface_Area to Covered_Area Ratio
1.022612
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)302.604798
HDPE (6mm)480.374032
PVC (3mm)701.368666
Aluminium (Gauge 20)744.461536
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)13.434667
Steel (Gauge 16)22.477012
PVC (3mm)36.070389
Aluminium (Gauge 20)57.838935
Neutral_2_Dir Hexa (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 74
Heating 0.3
Total 75
(Kwh/m2-a)
8.3
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 38.0
1. 7.0
2. 6.0
3. 8.0
4. 7.0
5. 2.0
6. 20.0
7. 14.0
8. 10.0
9. 15.0
10. 12.0
11. 9.0
12. 11.0
13. 11.0
14. 11.0
15. 11.0
16. 11.0
17. 8.0
18. 7.0
19. 9.0
20. 13.0
21. 11.0
22. 8.0
23. 6.0
24. 8.0
25. 9.0
26. 10.0
27. 8.0
28. 9.0
29. 6.0
30. 7.0
31. 10.0
32. 9.0
33. 12.0
34. 9.0
35. 5.0
Solar Irradiation Inside
(Kwh/m2)
Average 10.2
Surface_Area to Covered_Area Ratio
1.080941
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)319.865241
HDPE (6mm)507.774353
PVC (3mm)741.374423
Aluminium (Gauge 20)786.925291
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)14.200975
Steel (Gauge 16)23.759091
PVC (3mm)38.127827
Aluminium (Gauge 20)61.138042
Optimized_Pos. 2_Dir Hexa (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 43
Heating 0.5
Total 44
(Kwh/m2-a)
5
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
{0;0}
0. 49.0
1. 24.0
2. 34.0
3. 5.0
4. 32.0
5. 24.0
6. 27.0
7. 19.0
8. 18.0
9. 12.0
10. 18.0
11. 11.0
12. 13.0
13. 13.0
14. 11.0
15. 14.0
16. 11.0
17. 8.0
18. 7.0
19. 7.0
20. 11.0
21. 9.0
22. 7.0
23. 6.0
24. 6.0
25. 6.0
26. 6.0
27. 7.0
28. 6.0
29. 7.0
30. 8.0
31. 9.0
32. 11.0
33. 8.0
34. 7.0
35. 6.0
Solar Irradiation Inside
(Kwh/m2)
Average 13.25
Surface_Area to Covered_Area Ratio
1.099112
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)325.242287
HDPE (6mm)516.310217
PVC (3mm)753.837185
Aluminium (Gauge 20)800.153779
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)14.439698
Steel (Gauge 16)24.158489
PVC (3mm)38.76877
Aluminium (Gauge 20)62.165794
Neutral_2_Dir Rhom (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 75
Heating 0.3
Total 76
(Kwh/m2-a)
8.5
Parameter Values
Apperture 0.5
Depth 0.25m
Position X 0.0
Position Y 0.0
{0;0}
0. 12.0
1. 6.0
2. 35.0
3. 5.0
4. 19.0
5. 13.0
6. 18.0
7. 15.0
8. 13.0
9. 17.0
10. 18.0
11. 8.0
12. 10.0
13. 11.0
14. 11.0
15. 15.0
16. 10.0
17. 7.0
18. 12.0
19. 9.0
20. 9.0
21. 9.0
22. 10.0
23. 8.0
24. 6.0
25. 10.0
26. 8.0
27. 9.0
28. 7.0
29. 5.0
30. 8.0
31. 10.0
32. 8.0
33. 11.0
34. 7.0
35. 9.0
Solar Irradiation Inside
(Kwh/m2)
Average 11
Surface_Area to Covered_Area Ratio
1.169749
PE Coeficient/m2
(MJ/kg)
Steel (Gauge 16)346.144736
HDPE (6mm)549.492089
PVC (3mm)802.284278
Aluminium (Gauge 20)851.577515
GWP Coeficient/m2
(kg CO2eq/kg)
HDPE (6mm)15.367699
Steel (Gauge 16)25.71109
PVC (3mm)41.260334
Aluminium (Gauge 20)66.161022
Optimized_Pos. 2_Dir Rhom (Bogota)
Requiered Energy
(Kwh/m2)
Cooling 36
Heating 0.6
Total 37
(Kwh/m2-a)
4.1
Parameter Values
Apperture 0.5
Depth 0.25m
Position X -6.0
Position Z 10.0
Fabricación
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D
Rodrigo Velazco, Frontis 3D

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Rodrigo Velazco, Frontis 3D

  • 1. Fachadas de alto desempeño apoyadas en el uso de tecnologías computacionales Rodrigo Velasco
  • 2.
  • 3. Computación = Procesamiento de datos Como diseño computacional se entiende la interrelación ordenada de datos – variables externas y parámetros de diseño–, para obtener como resultado la configuración de un modelo de alto desempeño.
  • 4. Procesos En el diseño de fachadas, este trabajo implica, principalmente, cuatro procesos computacionales interrelacionados: Parametrización, Simulación, Optimización y Fabricación.
  • 5. Parametrización El primer paso en cualquier aplicación de diseño computacional consiste en estructurar los datos – parámetros fijos y variables– a ser considerados en el proceso de diseño.
  • 6.
  • 7.
  • 8. Simulación y optimización La simulación implica imitar condiciones reales mediante la ejecución de procedimientos equivalentes dentro de un entorno virtual . Al simular el comportamiento de cada una de las diferentes posibilidades de configuración de diseño – cambiando los valores de cada parámetro empleado–se encuentran aquellas con mejor desempeño, este proceso se denomina optimización
  • 9.
  • 10.
  • 11. Fabricación Este trabajo de manufactura genéricamente denominado CNC (Control Numérico Computacional) implica el traslado de datos numéricos (dimensiones espaciales) para controlar máquinas que procesan materiales mediante corte, troquelado, punzonado y/o taladrado, entre otros.
  • 12.
  • 13. Proyecto de fachada para SEM ingeniería (2013)
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30. 0. 18.0 1. 6.0 2. 5.0 3. 6.0 4. 6.0 5. 5.0 6. 30.0 7. 36.0 8. 43.0 9. 43.0 10. 40.0 11. 27.0 12. 22.0 13. 33.0 14. 34.0 15. 28.0 16. 38.0 17. 23.0 18. 18.0 19. 26.0 20. 24.0 21. 20.0 22. 22.0 23. 22.0 24. 11.0 25. 19.0 26. 18.0 27. 18.0 28. 19.0 29. 12.0 30. 14.0 31. 18.0 32. 19.0 33. 20.0 34. 23.0 35. 16.0 Solar Irradiation Inside (Kwh/m2) Average 21.722222 Surface_Area to Covered_Area Ratio 1.49 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)442.338192 HDPE (6mm)702.195676 PVC (3mm)1025.238693 Aluminium (Gauge 20)1088.230497 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm) 19.638375 Steel (Gauge 16) 32.85619 PVC (3mm) 52.726561 Aluminium (Gauge 20) 84.547139 Neutral_Square (Bogota) Requiered Energy (Kwh/m2) Cooling 99 Heating 0.1 Total 77.2 (Kwh/m2-a) 11 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 31. 0. 23.0 1. 5.0 2. 3.0 3. 2.0 4. 2.0 5. 2.0 6. 21.0 7. 21.0 8. 20.0 9. 21.0 10. 22.0 11. 13.0 12. 14.0 13. 17.0 14. 19.0 15. 18.0 16. 16.0 17. 13.0 18. 14.0 19. 17.0 20. 17.0 21. 17.0 22. 13.0 23. 12.0 24. 16.0 25. 18.0 26. 14.0 27. 14.0 28. 13.0 29. 9.0 30. 14.0 31. 14.0 32. 17.0 33. 15.0 34. 12.0 35. 11.0 Solar Irradiation Inside (Kwh/m2) Average 14.138889 Surface_Area to Covered_Area Ratio 1.53 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16) 455.165915 HDPE (6mm) 722.559217 PVC (3mm) 1054.970419 Aluminium (Gauge 20) 1119.788973 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)20.207884 Steel (Gauge 16)33.809013 PVC (3mm)54.255622 Aluminium (Gauge 20)86.998989 Optimized_Pos. Square (Bogota) Requiered Energy (Kwh/m2) Cooling 89 Heating 0.2 Total 89.2 (Kwh/m2-a) 9.9 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 32.
  • 33. 0. 23.0 1. 67.0 2. 4.0 3. 5.0 4. 62.0 5. 17.0 6. 13.0 7. 21.0 8. 20.0 9. 21.0 10. 21.0 11. 12.0 12. 13.0 13. 23.0 14. 20.0 15. 16.0 16. 19.0 17. 14.0 18. 10.0 19. 15.0 20. 16.0 21. 13.0 22. 15.0 23. 9.0 24. 10.0 25. 13.0 26. 14.0 27. 15.0 28. 10.0 29. 8.0 30. 10.0 31. 12.0 32. 15.0 33. 16.0 34. 11.0 35. 9.0 Solar Irradiation Inside (Kwh/m2) Average 17 Surface_Area to Covered_Area Ratio 2.128493 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16) 629.850158 HDPE (6mm) 999.864053 PVC (3mm) 1459.848514 Aluminium (Gauge 20) 1549.543228 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm) 27.963295 Steel (Gauge 16) 46.784286 PVC (3mm) 75.077924 Aluminium (Gauge 20) 120.387589 Neutral_Triangular (Bogota) Requiered Energy (Kwh/m2) Cooling 25 Heating 0.8 Total 26 (Kwh/m2-a) 2.9 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 34. {0;0} 0. 3.0 1. 14.0 2. 10.0 3. 1.0 4. 15.0 5. 1.0 6. 10.0 7. 8.0 8. 10.0 9. 7.0 10. 9.0 11. 5.0 12. 6.0 13. 5.0 14. 8.0 15. 7.0 16. 4.0 17. 4.0 18. 5.0 19. 5.0 20. 4.0 21. 7.0 22. 6.0 23. 2.0 24. 7.0 25. 7.0 26. 7.0 27. 6.0 28. 4.0 29. 2.0 30. 6.0 31. 8.0 32. 7.0 33. 6.0 34. 5.0 35. 3.0 Solar Irradiation Inside (Kwh/m2) Average 6.22 Surface_Area to Covered_Area Ratio 2.232328 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)660.576182 HDPE (6mm)1048.64049 PVC (3mm)1531.064406 Aluminium (Gauge 20)1625.134703 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)29.327431 Steel (Gauge 16)49.066567 PVC (3mm)78.740455 Aluminium (Gauge 20)126.260465 Optimized_Pos. Triangular (Bogota) Requiered Energy (Kwh/m2) Cooling 21 Heating 1 Total 22 (Kwh/m2-a) 2.4 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 35.
  • 36. 0. 15.0 1. 35.0 2. 131.0 3. 5.0 4. 33.0 5. 90.0 6. 26.0 7. 35.0 8. 34.0 9. 39.0 10. 42.0 11. 27.0 12. 24.0 13. 29.0 14. 30.0 15. 37.0 16. 29.0 17. 22.0 18. 17.0 19. 18.0 20. 19.0 21. 19.0 22. 21.0 23. 14.0 24. 12.0 25. 15.0 26. 12.0 27. 15.0 28. 14.0 29. 12.0 30. 10.0 31. 16.0 32. 14.0 33. 15.0 34. 13.0 35. 11.0 Solar Irradiation Inside (Kwh/m2) Average 26 Surface_Area to Covered_Area Ratio 1.716456 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16) 507.922641 HDPE (6mm) 806.308587 PVC (3mm) 1177.248436 Aluminium (Gauge 20) 1249.579887 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)22.550111 Steel (Gauge 16)37.7277 PVC (3mm)60.544205 Aluminium (Gauge 20)97.082745 Neutral_Rhombic (Bogota) Requiered Energy (Kwh/m2) Cooling 32 Heating 0.7 Total 33 (Kwh/m2-a) 3.6 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 37. {0;0} 0. 4.0 1. 4.0 2. 59.0 3. 3.0 4. 3.0 5. 2.0 6. 22.0 7. 26.0 8. 24.0 9. 22.0 10. 21.0 11. 8.0 12. 18.0 13. 20.0 14. 18.0 15. 19.0 16. 11.0 17. 11.0 18. 14.0 19. 15.0 20. 17.0 21. 11.0 22. 10.0 23. 8.0 24. 13.0 25. 9.0 26. 18.0 27. 13.0 28. 7.0 29. 7.0 30. 11.0 31. 12.0 32. 15.0 33. 13.0 34. 10.0 35. 8.0 Solar Irradiation Inside (Kwh/m2) Average 14 Surface_Area to Covered_Area Ratio 1.778481 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)526.276814 HDPE (6mm)835.445163 PVC (3mm)1219.789207 Aluminium (Gauge 20)1294.734411 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)23.364976 Steel (Gauge 16)39.09102 PVC (3mm)62.732016 Aluminium (Gauge 20)100.590904 Optimized_Pos. Rhombic (Bogota) Requiered Energy (Kwh/m2) Cooling 30 Heating 0.6 Total 30.6 (Kwh/m2-a) 3.4 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 38.
  • 39. {0;0} 0. 19.0 1. 6.0 2. 5.0 3. 5.0 4. 6.0 5. 11.0 6. 28.0 7. 37.0 8. 44.0 9. 33.0 10. 36.0 11. 27.0 12. 21.0 13. 25.0 14. 28.0 15. 29.0 16. 33.0 17. 25.0 18. 19.0 19. 23.0 20. 19.0 21. 24.0 22. 20.0 23. 17.0 24. 12.0 25. 18.0 26. 18.0 27. 20.0 28. 18.0 29. 14.0 30. 13.0 31. 18.0 32. 15.0 33. 17.0 34. 16.0 35. 13.0 Solar Irradiation Inside (Kwh/m2) Average 20 Surface_Area to Covered_Area Ratio 1.509837 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16) 446.781236 HDPE (6mm) 709.248846 PVC (3mm) 1035.536652 Aluminium (Gauge 20) 1099.161174 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm) 19.835632 Steel (Gauge 16) 33.186212 PVC (3mm) 53.256171 Aluminium (Gauge 20) 85.396368 Neutral_Hexagonal (Bogota) Requiered Energy (Kwh/m2) Cooling 33 Heating 0.6 Total 34 (Kwh/m2-a) 3.8 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 40. {0;0} 0. 31.0 1. 13.0 2. 19.0 3. 34.0 4. 2.0 5. 1.0 6. 17.0 7. 21.0 8. 22.0 9. 22.0 10. 19.0 11. 11.0 12. 17.0 13. 17.0 14. 20.0 15. 18.0 16. 19.0 17. 11.0 18. 14.0 19. 16.0 20. 15.0 21. 17.0 22. 13.0 23. 10.0 24. 9.0 25. 13.0 26. 12.0 27. 10.0 28. 10.0 29. 9.0 30. 9.0 31. 14.0 32. 16.0 33. 12.0 34. 11.0 35. 8.0 Solar Irradiation Inside (Kwh/m2) Average 14.7 Surface_Area to Covered_Area Ratio 1.564211 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)462.871177 HDPE (6mm)734.791037 PVC (3mm)1072.829452 Aluminium (Gauge 20)1138.745284 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)20.549973 Steel (Gauge 16)34.381348 PVC (3mm)55.174086 Aluminium (Gauge 20)88.471749 Optimized_Pos. Hexagonal (Bogota) Requiered Energy (Kwh/m2) Cooling 21 Heating 0.9 Total 23 (Kwh/m2-a) 2.5 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 41.
  • 42. 0. 63.0 1. 7.0 2. 2.0 3. 6.0 4. 8.0 5. 16.0 6. 31.0 7. 28.0 8. 23.0 9. 22.0 10. 21.0 11. 27.0 12. 18.0 13. 22.0 14. 16.0 15. 15.0 16. 17.0 17. 14.0 18. 10.0 19. 11.0 20. 10.0 21. 15.0 22. 11.0 23. 7.0 24. 8.0 25. 8.0 26. 9.0 27. 11.0 28. 10.0 29. 6.0 30. 9.0 31. 13.0 32. 15.0 33. 13.0 34. 10.0 35. 8.0 Solar Irradiation Inside (Kwh/m2) Average 15 Surface_Area to Covered_Area Ratio 2.5876 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)765.706031 HDPE (6mm)1215.530275 PVC (3mm)1774.731336 Aluminium (Gauge 20)1883.7728 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)33.994854 Steel (Gauge 16)56.875448 PVC (3mm)91.271897 Aluminium (Gauge 20)146.354656 Neutral_Delaunay (Bogota) Requiered Energy (Kwh/m2) Cooling 27 Heating 0.9 Total 28 (Kwh/m2-a) 3 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 43. {0;0} 0. 24.0 1. 12.0 2. 17.0 3. 12.0 4. 15.0 5. 14.0 6. 36.0 7. 16.0 8. 13.0 9. 8.0 10. 10.0 11. 11.0 12. 14.0 13. 12.0 14. 12.0 15. 11.0 16. 8.0 17. 5.0 18. 13.0 19. 7.0 20. 10.0 21. 5.0 22. 6.0 23. 4.0 24. 4.0 25. 8.0 26. 10.0 27. 7.0 28. 5.0 29. 3.0 30. 7.0 31. 11.0 32. 8.0 33. 8.0 34. 6.0 35. 4.0 Solar Irradiation Inside (Kwh/m2) Average 10.5 Surface_Area to Covered_Area Ratio 2.699335 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)798.770069 HDPE (6mm)1268.018224 PVC (3mm)1851.366208 Aluminium (Gauge 20)1965.116204 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)35.462789 Steel (Gauge 16)59.331393 PVC (3mm)95.213119 Aluminium (Gauge 20)152.674413 Optimized_Pos. Delaunay (Bogota) Requiered Energy (Kwh/m2) Cooling 25 Heating 0.8 Total 26 (Kwh/m2-a) 3 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 44.
  • 45. {0;0} 0. 43.0 1. 140.0 2. 253.0 3. 14.0 4. 6.0 5. 21.0 6. 38.0 7. 53.0 8. 53.0 9. 48.0 10. 46.0 11. 30.0 12. 27.0 13. 37.0 14. 32.0 15. 33.0 16. 33.0 17. 25.0 18. 15.0 19. 18.0 20. 23.0 21. 22.0 22. 22.0 23. 13.0 24. 15.0 25. 17.0 26. 17.0 27. 19.0 28. 16.0 29. 17.0 30. 12.0 31. 21.0 32. 18.0 33. 20.0 34. 18.0 35. 13.0 Solar Irradiation Inside (Kwh/m2) Average 35 Surface_Area to Covered_Area Ratio 1.410056 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)417.25478 HDPE (6mm)662.376678 PVC (3mm)967.101084 Aluminium (Gauge 20)1026.520849 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm) 18.524753 Steel (Gauge 16) 30.993033 PVC (3mm) 49.736627 Aluminium (Gauge 20) 79.752774 Neutral_Voronoi (Bogota) Requiered Energy (Kwh/m2) Cooling 36 Heating 0.6 Total 36 (Kwh/m2-a) 4 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 46. {0;0} 0. 43.0 1. 30.0 2. 48.0 3. 5.0 4. 3.0 5. 17.0 6. 45.0 7. 40.0 8. 33.0 9. 30.0 10. 28.0 11. 14.0 12. 28.0 13. 28.0 14. 26.0 15. 22.0 16. 18.0 17. 15.0 18. 13.0 19. 20.0 20. 20.0 21. 18.0 22. 11.0 23. 10.0 24. 12.0 25. 14.0 26. 17.0 27. 16.0 28. 11.0 29. 9.0 30. 16.0 31. 16.0 32. 16.0 33. 18.0 34. 12.0 35. 12.0 Solar Irradiation Inside (Kwh/m2) Average 20.3 Surface_Area to Covered_Area Ratio 1.445016 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)427.599788 HDPE (6mm)678.798999 PVC (3mm)991.078445 Aluminium (Gauge 20)1051.971405 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)18.984038 Steel (Gauge 16)31.761444 PVC (3mm)50.969749 Aluminium (Gauge 20)81.730086 Optimized_Pos. Voronoi (Bogota) Requiered Energy (Kwh/m2) Cooling 35 Heating 0.6 Total 36 (Kwh/m2-a) 4 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 47.
  • 48. {0;0} 0. 31.0 1. 11.0 2. 8.0 3. 8.0 4. 7.0 5. 7.0 6. 25.0 7. 29.0 8. 17.0 9. 18.0 10. 21.0 11. 14.0 12. 16.0 13. 13.0 14. 10.0 15. 14.0 16. 13.0 17. 11.0 18. 8.0 19. 10.0 20. 13.0 21. 9.0 22. 8.0 23. 8.0 24. 7.0 25. 9.0 26. 10.0 27. 9.0 28. 7.0 29. 10.0 30. 7.0 31. 10.0 32. 8.0 33. 10.0 34. 9.0 35. 6.0 Solar Irradiation Inside (Kwh/m2) Average 12 Surface_Area to Covered_Area Ratio 1.022612 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)302.604798 HDPE (6mm)480.374032 PVC (3mm)701.368666 Aluminium (Gauge 20)744.461536 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)13.434667 Steel (Gauge 16)22.477012 PVC (3mm)36.070389 Aluminium (Gauge 20)57.838935 Neutral_2_Dir Hexa (Bogota) Requiered Energy (Kwh/m2) Cooling 74 Heating 0.3 Total 75 (Kwh/m2-a) 8.3 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 49. {0;0} 0. 38.0 1. 7.0 2. 6.0 3. 8.0 4. 7.0 5. 2.0 6. 20.0 7. 14.0 8. 10.0 9. 15.0 10. 12.0 11. 9.0 12. 11.0 13. 11.0 14. 11.0 15. 11.0 16. 11.0 17. 8.0 18. 7.0 19. 9.0 20. 13.0 21. 11.0 22. 8.0 23. 6.0 24. 8.0 25. 9.0 26. 10.0 27. 8.0 28. 9.0 29. 6.0 30. 7.0 31. 10.0 32. 9.0 33. 12.0 34. 9.0 35. 5.0 Solar Irradiation Inside (Kwh/m2) Average 10.2 Surface_Area to Covered_Area Ratio 1.080941 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)319.865241 HDPE (6mm)507.774353 PVC (3mm)741.374423 Aluminium (Gauge 20)786.925291 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)14.200975 Steel (Gauge 16)23.759091 PVC (3mm)38.127827 Aluminium (Gauge 20)61.138042 Optimized_Pos. 2_Dir Hexa (Bogota) Requiered Energy (Kwh/m2) Cooling 43 Heating 0.5 Total 44 (Kwh/m2-a) 5 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 50.
  • 51. {0;0} 0. 49.0 1. 24.0 2. 34.0 3. 5.0 4. 32.0 5. 24.0 6. 27.0 7. 19.0 8. 18.0 9. 12.0 10. 18.0 11. 11.0 12. 13.0 13. 13.0 14. 11.0 15. 14.0 16. 11.0 17. 8.0 18. 7.0 19. 7.0 20. 11.0 21. 9.0 22. 7.0 23. 6.0 24. 6.0 25. 6.0 26. 6.0 27. 7.0 28. 6.0 29. 7.0 30. 8.0 31. 9.0 32. 11.0 33. 8.0 34. 7.0 35. 6.0 Solar Irradiation Inside (Kwh/m2) Average 13.25 Surface_Area to Covered_Area Ratio 1.099112 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)325.242287 HDPE (6mm)516.310217 PVC (3mm)753.837185 Aluminium (Gauge 20)800.153779 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)14.439698 Steel (Gauge 16)24.158489 PVC (3mm)38.76877 Aluminium (Gauge 20)62.165794 Neutral_2_Dir Rhom (Bogota) Requiered Energy (Kwh/m2) Cooling 75 Heating 0.3 Total 76 (Kwh/m2-a) 8.5 Parameter Values Apperture 0.5 Depth 0.25m Position X 0.0 Position Y 0.0
  • 52. {0;0} 0. 12.0 1. 6.0 2. 35.0 3. 5.0 4. 19.0 5. 13.0 6. 18.0 7. 15.0 8. 13.0 9. 17.0 10. 18.0 11. 8.0 12. 10.0 13. 11.0 14. 11.0 15. 15.0 16. 10.0 17. 7.0 18. 12.0 19. 9.0 20. 9.0 21. 9.0 22. 10.0 23. 8.0 24. 6.0 25. 10.0 26. 8.0 27. 9.0 28. 7.0 29. 5.0 30. 8.0 31. 10.0 32. 8.0 33. 11.0 34. 7.0 35. 9.0 Solar Irradiation Inside (Kwh/m2) Average 11 Surface_Area to Covered_Area Ratio 1.169749 PE Coeficient/m2 (MJ/kg) Steel (Gauge 16)346.144736 HDPE (6mm)549.492089 PVC (3mm)802.284278 Aluminium (Gauge 20)851.577515 GWP Coeficient/m2 (kg CO2eq/kg) HDPE (6mm)15.367699 Steel (Gauge 16)25.71109 PVC (3mm)41.260334 Aluminium (Gauge 20)66.161022 Optimized_Pos. 2_Dir Rhom (Bogota) Requiered Energy (Kwh/m2) Cooling 36 Heating 0.6 Total 37 (Kwh/m2-a) 4.1 Parameter Values Apperture 0.5 Depth 0.25m Position X -6.0 Position Z 10.0
  • 53.
  • 54.