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Elementary Mathematics and Architecture
Alexander Hahn
University of Notre Dame
MAA Minicourse, Boston, January 4-8,
2012
Part IIa: The Sydney Opera House
tie-beam ground level
0 b
162.75 feet
4.50 feet
x
sine curve
pre-
stressing
cables2b
axis6 feet
7 in
4.50 ft
7 in
jacking
sliding
Concourse
beam
prestressing
cables
prestressing
cables
x
foundation
bearing
point
162.75 feet
0
y
bx x
z
R = b
q
x
p
A
B
a
D
qC
E
r
Or
F
6 feet
4.5 feet
G
y
c
z
c
c
c = 7 in = feet
c
tan a = 4721_
c
» 65.92a
712_
2
3_8 in = ft
o