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Estructuras funiculares: catenarias y arcos Mariano Vázquez Espí Madrid, 5 de marzo de 2015.

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Page 1: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Estructuras funiculares: catenariasy arcos

Mariano Vázquez Espí

Madrid, 5 de marzo de 2015.

Page 2: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 1 / 18

Page 3: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 2 / 18

Page 4: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 3 / 18

Page 5: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 4 / 18

Page 6: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 5 / 18

Page 7: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

The Akashi Kaikyo Bridge

The Akashi Kaikyo bridge was completed in 1998 and has 1.991 km of centralspan, a slenderness in the order of 6 (span/deep). ‘‘The bridge holds threerecords: it is the longest, tallest, and most expensive suspension bridge everbuilt.’’ Main fact: very high steels have to be used: one with allowable stressof 800 N/mm2 and strength of 1800 N/mm2 in main cables. And note thatthe greater the allowable stress, the greater the strain, so we can hope greaterdeflection and flexibility, all other things the same.[6].

Copyleft c©Vázquez Espí, 2012. <<< | >>> Measuring structural efficiency. . . 36 / 56

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 6 / 18

Page 8: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

The Akashi Kaikyo Bridge

Copyleft c©Vázquez Espí, 2012. <<< | >>> Measuring structural efficiency. . . 37 / 56

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 7 / 18

Page 9: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 8 / 18

Page 10: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Sky Brigde — MalasiaCopyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 9 / 18

Page 11: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Gunung-Machinchang—MalasiaCopyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 10 / 18

Page 12: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Viaducto sobre el Tajo, 2014

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 11 / 18

Page 13: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 12 / 18

Page 14: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Viaducto de Madrid, s. XIXCopyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 13 / 18

Page 15: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Viaducto de Madrid, 1942Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 14 / 18

Page 16: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 15 / 18

Page 17: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Viaducto sobre el Esla, Zamora, 1934–1942Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 16 / 18

Page 18: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Viaducto sobre el Tajo, 2014

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 17 / 18

Page 19: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Viaducto sobre el Tera, 2014

Copyleft c©Vázquez Espí, 2015. <<< | >>> funiculares 18 / 18

Page 20: Estructuras funiculares: catenarias y arcoshabitat.aq.upm.es/gi/mve/mmcyte/imagenes-ef-print.pdfThe Akashi Kaikyo Bridge The Akashi Kaikyo bridge was completed in 1998 and has 1.991k

Estructuras funiculares: catenarias y arcosMariano Vázquez Espí

GIAU+S (UPM)Grupo de Investigación en Arquitectura, Urbanismo y Sostenibilidad

Universidad Politécnica de Madridhttp://habitat.aq.upm.es/gi

Edición del 5 de marzo de 2015compuesto con free software:

GNULinux/LATEX/dvips/ps2pdf

Copyleft c©Vázquez Espí, 2015