Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result Initial Deformation of the PETRA3 slab Markus Schlösser IWAA 2010, 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 pump pouring 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

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result temperature of concrete (2007 – 2009) setting of concrete 1st epoch 2nd epoch3rd epoch 4th epoch temperature

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result temperature of concrete (2008) 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 · / K (theoretical value) l = 300m  dl = 3mm / K dT = 22°C – 16°C = 6K  dL 16 = 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 movement 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, BUT  r=  (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) measure- ments

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result modell errors 05/2008 -> 02/ 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) measure- ments

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result modell errors 08/2008 -> 02/ (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) measure- ments

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result tangential shifts measure- ments

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result radial shifts measure- ments

Initial deformation of the PETRA3 slab IWAA2010, Markus Schlösser introduction temperature analytical models measure- ments result height changes 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 · / 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