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Tension Compression Funicular vs. load Load type Funicular 1+2 Single point load Triangle 3+4 Two point loads Trapezoid 5+6 Uniform load Parabola 7+8 Mixed load Gothic arc 9+10 Self weight Catenary 11+12 Radial load Circular Arch and vault structures Copyright Prof Schierle 2012 2
11 12 Load and form 1 Polar polygon of parabolic cable 2 Parabolic funicular cable under uniform load 3 Polar polygon of parabolic funicular arch 4 Parabolic funicular arch under uniform load 5 Polar polygon of asymmetrically loaded cable 6 Funicular cable under asymmetric load 7 Polar polygon of asymmetrically loaded arch 8 Arch funicular under asymmetric load 9 Global moment of horizontal couple M = H d 10 Arch bending due to funicular offset M=Fe F=archforce e = arch offset from funicular line 11 Variable arch depth (optimal span/depth = 5) 12 Arch force vs. arch depth (rise) Arch and vault structures Copyright Prof Schierle 2012 3
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Page 7 and 8: C H R Numeric method: Arch load (fr
Page 9 and 10: Storage hall Walsum, Germany Engine
Page 11 and 12: Assume: Arch span L = 50 m / 0,3048
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Page 15 and 16: Vault cross sections 1 Cylindrical
Page 17 and 18: d=25’ L=200’ 8.2’ Exposition
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Page 25 and 26: Berlin Ostbahnhof Arch and vault st
Page 27 and 28: Norman Foster: Reichstag Dome Berli
Page 29 and 30: Van Brienenoordbrug Bridge near Rot
Page 31 and 32: Antonio Gaudi: Casa Milà parabolic
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Page 35 and 36: Design models Design model Test mod
Page 37: Design great Arches and Vaults Arch

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