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Arch and Vault - Engineering Class Home Pages

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11<br />

12<br />

Load <strong>and</strong> form<br />

1 Polar polygon of parabolic cable<br />

2 Parabolic funicular cable under uniform load<br />

3 Polar polygon of parabolic funicular arch<br />

4 Parabolic funicular arch under uniform load<br />

5 Polar polygon of asymmetrically loaded cable<br />

6 Funicular cable under asymmetric load<br />

7 Polar polygon of asymmetrically loaded arch<br />

8 <strong>Arch</strong> funicular under asymmetric load<br />

9 Global moment of horizontal couple M = H d<br />

10 <strong>Arch</strong> bending due to funicular offset<br />

M=Fe<br />

F=archforce<br />

e = arch offset from funicular line<br />

11 Variable arch depth (optimal span/depth = 5)<br />

12 <strong>Arch</strong> force vs. arch depth (rise)<br />

<strong>Arch</strong> <strong>and</strong> vault structures Copyright Prof Schierle 2012 3

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