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Analysis of Tri-axial Stress-strain Conditions
of Pre-stressed Masonry Corner
VSB-TU, Faculty of Civil Engineering
Radim Cajka
Pavlina Mateckova
Lucie Mynarzova
Marie Stara
Ostrava, Czech Republic
REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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PRE-STRESSED MASONRYMotivation for testing
REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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PRE-STRESSED MASONRYMotivation for testing
REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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PRE-STRESSED MASONRYMotivation for testing
REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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PRE-STRESSED MASONRY
Description of testing
5REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Masonry corner
• Plan dimensions 900 x 900 mm
• Thickness of the wall 450 mm
• Height 900 mm
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PRE-STRESSED MASONRY
Description of testing
6REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Material
• Clay bricks
• Lime-cement mortar
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PRE-STRESSED MASONRY
Description of testing
7REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Vertical load and pre-stressing force• 0.125 MPa 50 kN100 kN• 0.250 MPa 50 kN100 kN
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PRE-STRESSED MASONRY
Description of testing
8REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Measuring of deformations
• Net of potentiometer sensors
• Short time deformations
• Pre-stressing in one or two directions
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PRE-STRESSED MASONRY
Material characteristics
9REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Bricks from demolished building
• HistAn software
• 6 bricks
• From each 4 specimen
• Mean value fb = 16.08 MPa
• Variation coefficient 0.28
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PRE-STRESSED MASONRY
Material characteristics
10REC 2012, Brno, Czech Republic, 13.-15.June, 2012
Mortar from dry mixture
• HistAn software
• 6 block specimen
• Mean value fm = 9.8 MPa
• Variation coefficient 0.04
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PRE-STRESSED MASONRY
Masonry compressive strength
11REC 2012, Brno, Czech Republic, 13.-15. June, 2012
AntHill software using monte carlo simulation
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PRE-STRESSED MASONRY
Masonry compressive strength
12REC 2012, Brno, Czech Republic, 13.-15. June, 2012
AntHill software using monte carlo simulation
•fmean = 7.37 MPa
•fk = 5.29 MPa
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PRE-STRESSED MASONRY
Masonry compressive strength
13REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Action effect from pre-stressingPre-stressing force
Anchoring plate
Stress in anchoring area
Ratio to vertical strength
kN m MPa %50 0.3 x 0.3 0.556 11100 0.3 x 0.3 1.111 2150 0.2 x 0.2 1.250 24100 0.2 x 0.2 2.500 4750 0.15 x 0.15 2.222 42100 0.15 x 0.15 4.444 84
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TESTING RESULTS
Direction of pre-stressing
14REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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TESTING RESULTS
Net of measuring poitns
15REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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TESTING RESULTS
Measured deformations
16REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Vertical load 0.125 MPa, pre-stressing force 100 kN
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TESTING RESULTS
Measured deformations
17REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Vertical load 0.125 MPa, pre-stressing force 100 kN
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MASONRY NUMERICAL MODELLING
Basic ways of modelling
18REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Complicated with following factors:
•Different material properties of basic components
•Different dimensions of basic components
•Narrow dimension of mortar joint
•Geometrical arrangement of bricks
•Different structural response for different load action direction
•Interaction between components
•Quality of manufacturing
•Environmental influence
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MASONRY NUMERICAL MODELLING
Basic ways of modelling
19REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Three basic approaches:
•Detailed micromodel
•Simplified micromodel
•Macromodel
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MASONRY NUMERICAL MODELLING
Micromodel
20REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Ansys software:
•Solid 45
•Link 8
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MASONRY NUMERICAL MODELLING
From micromodel to macromodel
21REC 2012, Brno, Czech Republic, 13.-15.June, 2012
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MASONRY NUMERICAL MODELLING
From micromodel to macromodel
22REC 2012, Brno, Czech Republic, 13.-15. June, 2012
Input and output parameters
MaterialModulus
of Elasticity [GPa]
Shear modulus [GPa]
Poissons’ ratio [-]
Input
Bricks 290/140/65
15,00 0,15
Mortar 10MPa
10,00 0,2
Output
Masonry x direction
13,96 3,65 0,202
Masonry y direction
14,00 5,56 0,198
Masonry z direction
13,84 4,30 0,197
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MASONRY NUMERICAL MODELLING
Macromodel
23REC 2012, Brno, Czech Republic, 13.-15.June, 2012
Ansys software:
•Solid 45
•Link 8
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MASONRY NUMERICAL MODELLING
Micromodel x Macromodel
24REC 2012, Brno, Czech Republic, 13.-15.June, 2012
Section in place of upper pre-stressing bar
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• Testing of masonry corner exposed to tri-axial loadSmall measured deformations Unexpected course of deformation
•Testing of material propertiesRelatively high strength of bricksHigh variation coefficient
• Numerical modelling of masonryCalculated deformation respond to measurementsMicromodel reflect the expeceted way of str. break
CONCLUSION
REC 2012, Brno, Czech Republic, 13.-15. June, 2012
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Thanks for attention!
VŠB-TU, Faculty of Civil Engineering
Ostrava, Czech Republic
REC 2012, Brno, Czech Republic, 13.-15. June, 2012