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Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
Initial Deformationof the PETRA3 slab
Markus Schlösser
IWAA 2010, 13.-17. September 2010
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
accuracy requirements (components)
old octants:
= 300µm / 150m (transverse & height)
new octant:
magnet – magnet = 50µm
girder – girder = 100µm (transverse and height) = 500µm (longitudinal)
(TDR, 2004)
• introduction
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
floor of new experimental hall
Monolithic floor slab made from reinforced concrete
• 300m length
• 30m width
• 1m thickness
(without joint)
• introduction
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
making of concrete slab
concrete delivery and filling of pumppouring of concrete
smoothing of concrete surface
• introduction
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
cross section of slab
base layer, concrete-mineral mixture
top layer, epoxy, t = 15 mm
(reinforced) concrete with steel fibres(approx. 1% fibers)
reinforced concrete C30/37
bitumen gliding sheet, t = 3 mm
subconcrete
equalizing layer
33.87
34.36 34.37
49
1.0
0
15
0
33.37
53
05
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
temperature of concrete (2007 – 2009)
Position 13
0
10
20
30
40
50
01.12. 10.03. 18.06. 26.09. 04.01. 14.04.
time
tem
pe
ratu
re [
°C]
gliding bed gliding bed + 10cm gliding bed + 50cm gliding bed + 90cm air
setting of concrete
1st epoch
2nd epoch 3rd epoch
4th epoch
• temperature
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
temperature of concrete (2008)
Position 13
15
16
17
18
19
20
21
22
23
24
25
01.05. 01.06. 02.07. 02.08. 02.09. 03.10. 03.11.
time
tem
pe
ratu
re [
°C]
gliding bed gliding bed + 10cm gliding bed + 50cm gliding bed + 90cm air
activation of air-condition
start of survey in the new hall
daily variation
1st epoch
2nd epoch
• temperature
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
thermal expansion of concrete slab
concrete = 10 · 10-6 / K (theoretical value)
l = 300m
dl = 3mm / K
dT = 22°C – 16°C = 6K
dL16 = 18mm
• analytical models
Problem:• Installation starts at 16°C, final temperature at 22°C• predicted movement is 18mm• accuracy is at the 100µm level• coarse alignment mechanics of most components can not
be moved by more than a few mm
Solution:• introduce analytical model• predict position of each network fiducial at 22°C• stakeout coordinates are not affected• independent from the actual temperature
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
models for expansion of slab
• 1st approach– network measurement taken at 16.2°C– estimate position of each monument at 22°C from
analytical model (linear / circular)
• 2nd approach– network measurements taken at 16.2°C and 20.4°C– estimate parameters for analytical model from
combination of measurement epochs
• 3rd approach– network measurements taken at 16.2°C and 20.4°C– extrapolate position of each monument at 22°C from
empirical model
• 4th approach– network measurement taken at 22°C– no model necessary
• analytical models
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
1st approach
• network measurement taken at 16.2°C
• estimate position of each monument at 22°C with analytical model (linear / circular)
line of no radial movem
ent
line of no tangential movement
Each monument gets radial and tangential shift component,r = (r) = )
concrete from literature• analytical models
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
2nd approach
line of no radial movement
line of no tangential movement
• network measurements taken at 16.2°C and 20.4°C
• estimate parameters of analytical model by combining two measurement epochs
Each monument gets radial and tangential shift component, BUTr = (r,) = r,)
estimate concrete• analytical models
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
3rd approach
• network measurements taken at 16.2°C and 20.4°C
• extrapolate position of each monument at 22°C from empirical model
lines of identical tangential movement
lines of identical radial movement
Each monument gets radial and tangential shift component,r = (r,) = r,)
estimate concrete• analytical models
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
movements 05/2008 -> 02/2009(16.2 -> 22.0°C)
11.5
10.0
3.3
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
modell errors 05/2008 -> 02/2009
2.0
3.6
3.1
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
movements 08/2008 -> 02/2009(20.4 -> 22.0°C)
3.2
2.5
0.9
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
modell errors 08/2008 -> 02/2009
0.5
0.5 (0.8)
0.6
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
movements 02/2009 -> 05/2009(22.0 -> 22.0°C)
1.3
1.2
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
tangential shifts
Tangentiale Verschiebung
-15.0
-10.0
-5.0
0.0
5.0
10.0
15.0
05/2008 08/2008 02/2009 05/2009
Zeit
Ver
sch
ieb
un
g [
mm
]
N-1.1
N-1.2
N-2.1
N-2.2
N00.1
N02.1
N04.1
N12.1
N16.1
N20.1
N26.2
N46.1
N48.1
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
radial shifts
Radiale Verschiebung
-1.0
-0.5
0.0
0.5
1.0
1.5
05/2008 08/2008 02/2009 05/2009
Zeit
Ver
sch
ieb
un
g [
mm
]
N-1.1
N-1.2
N-2.1
N-2.2
N00.1
N02.1
N04.1
N12.1
N16.1
N20.1
N26.2
N46.1
N48.1
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
height changes
Verschiebungen Höhe
-1.0
-0.5
0.0
0.5
1.0
1.5
05/2008 08/2008 02/2009 05/2009
Zeit
Ver
sch
ieb
un
g [
mm
]
N-1.1
N-1.2
N-2.1
N-2.2
N00.1
N02.1
N04.1
N12.1
N16.1
N20.1
N26.2
N46.1
N48.1
• measure-ments
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
high precision measurement, made by civil engineers
Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser
• introduction
• temperature
• analytical models
• measure-ments
• result
Summary
• empirical thermal expansion coefficient (longitudinal)concrete = 12 · 10-6 / K
• center line of no radial movement is not in the middle of the slab
• height change 05/2008 – 05/2009 approx. 1.5 bis 2.0 mm
• deformation seems not to have finished after reaching the final temperature of the slab
• result