Appendix C - Legendre Polynomial Tables
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Structural Assessment of Guastavino Domes

Rafael Guastavino refined the technique of erecting thin terra-cotta tile, a thousand year old building system of ‘Catalan Vaulting.’ His company was involved with more than 1000 buildings in North America between the 1880s and the 1960s. Although Guastavino tile vaulting contributed to many prestigious buildings of that time, the structural behavior of this construction system has received little or almost no attention in the literature. It is the intention of this thesis to study this empirically designed system by using tools of modern engineering: experimental modal analysis, thin elastic shell theory and finite element analysis.

Appendix C - Legendre Polynomial Tables

Legendre Polynomial Tables

 

n Pn(cos35º) λ
n Pn(cos45º) λ
0 1     0
1
 
1
0.81915 1
0.7071
2
0.50625 2
0.25 2.541
3
0.14542 3.231 3
-0.1768
4
-0.17142 4
-0.4062  
5
-0.3691   5
-0.3757
6
-0.41145 6
-0.1484 6.532
7
-0.30956 7
0.127
8
-0.1154 8.086 8
0.2983  
9
0.9654 9
0.2855
10
0.2542
10
0.1151 10.498
11
0.3096 11
-0.10484
12
0.2532 12
-0.246719
13
0.113 13.169 13
-0.239324
14
-0.562 14
-0.097271 14.531
15
-0.0532
15
0.0903925
16
-0.1948 16
0.215031
17
-0.2565 17
0.21008
18
-0.2245 18
0.0857609 18.472
19
-0.1154 19.504 19
-0.0809309
20
0.02858 20
-0.193065
21
0.1553
21
-0.189457

 

 

Files
Structural Assessment of Guastavino Domes   15.2 MB  
M.S. Thesis defense presentation illustrates the modal analysis tests, finite element model development and manual updating of two Guastavino tile domes. A brief overview of characteristics and history of Guastavino tile vaulting technique is also included in the presentation.
Structural Assessment of Guastavino Domes   6.3 MB  
Rafael Guastavino refined the technique of erecting thin terra-cotta tile, a thousand year old building system of ‘Catalan Vaulting.’ His company was involved with more than 1000 buildings in North America between the 1880s and the 1960s. Although Guastavino tile vaulting contributed to many prestigious buildings of that time, the structural behavior of this construction system has received little or almost no attention in the literature. It is the intention of this thesis to study this empirically designed system by using tools of modern engineering: experimental modal analysis, thin elastic shell theory and finite element analysis.
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