Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature...

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


• introduction

• temperature


• 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


• introduction

• temperature


• measure-ments

• result

floor of new experimental hall

Monolithic floor slab made from reinforced concrete

• 300m length

• 30m width

• 1m thickness

(without joint)

• introduction


• introduction

• temperature


• measure-ments

• result

making of concrete slab

concrete delivery and filling of pumppouring of concrete

smoothing of concrete surface

• introduction


• introduction

• temperature


• 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


• introduction

• temperature


• 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


• introduction

• temperature


• 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


• introduction

• temperature


• 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


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


• introduction

• temperature


• 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



• introduction

• temperature


• 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


• introduction

• temperature


• 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


• introduction

• temperature


• 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


• introduction

• temperature


• measure-ments

• result

movements 05/2008 -> 02/2009(16.2 -> 22.0°C)

11.5

10.0

3.3

• measure-ments


• introduction

• temperature


• measure-ments

• result

modell errors 05/2008 -> 02/2009

2.0

3.6

3.1

• measure-ments


• introduction

• temperature


• measure-ments

• result

movements 08/2008 -> 02/2009(20.4 -> 22.0°C)

3.2

2.5

0.9

• measure-ments


• introduction

• temperature


• measure-ments

• result

modell errors 08/2008 -> 02/2009

0.5

0.5 (0.8)

0.6

• measure-ments


• introduction

• temperature


• measure-ments

• result

movements 02/2009 -> 05/2009(22.0 -> 22.0°C)

1.3

1.2

• measure-ments


• introduction

• temperature


• 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


• introduction

• temperature


• 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


• introduction

• temperature


• 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


• introduction

• temperature


• measure-ments

• result

high precision measurement, made by civil engineers


• introduction

• temperature


• 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

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature...

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Transcript of Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature...