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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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Analysis of Tri-axial Stress-strain Conditions of Pre-stressed Masonry Corner

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V S B-TU, Faculty of Civil Engineering. Ostrava, Czech Republic. Analysis of Tri-axial Stress-strain Conditions of Pre-stressed Masonry Corner. Radim Cajka Pavlina Mateckova Lucie Mynarzova Marie Stara. REC 2012, Brno , Czech Republic , 13.-15. June , 2012. PRE-STRESSED MASONRY. - PowerPoint PPT Presentation
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Page 1: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 2: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

2

PRE-STRESSED MASONRYMotivation for testing

REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Page 3: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

3

PRE-STRESSED MASONRYMotivation for testing

REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Page 4: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

4

PRE-STRESSED MASONRYMotivation for testing

REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Page 5: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 6: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

PRE-STRESSED MASONRY

Description of testing

6REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Material

• Clay bricks

• Lime-cement mortar

Page 7: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 8: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 9: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 10: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 11: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

PRE-STRESSED MASONRY

Masonry compressive strength

11REC 2012, Brno, Czech Republic, 13.-15. June, 2012

AntHill software using monte carlo simulation

Page 12: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 13: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 14: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

TESTING RESULTS

Direction of pre-stressing

14REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Page 15: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

TESTING RESULTS

Net of measuring poitns

15REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Page 16: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

TESTING RESULTS

Measured deformations

16REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Vertical load 0.125 MPa, pre-stressing force 100 kN

Page 17: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

TESTING RESULTS

Measured deformations

17REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Vertical load 0.125 MPa, pre-stressing force 100 kN

Page 18: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 19: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

MASONRY NUMERICAL MODELLING

Basic ways of modelling

19REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Three basic approaches:

•Detailed micromodel

•Simplified micromodel

•Macromodel

Page 20: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

MASONRY NUMERICAL MODELLING

Micromodel

20REC 2012, Brno, Czech Republic, 13.-15. June, 2012

Ansys software:

•Solid 45

•Link 8

Page 21: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

MASONRY NUMERICAL MODELLING

From micromodel to macromodel

21REC 2012, Brno, Czech Republic, 13.-15.June, 2012

Page 22: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

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

Page 23: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

MASONRY NUMERICAL MODELLING

Macromodel

23REC 2012, Brno, Czech Republic, 13.-15.June, 2012

Ansys software:

•Solid 45

•Link 8

Page 24: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

MASONRY NUMERICAL MODELLING

Micromodel x Macromodel

24REC 2012, Brno, Czech Republic, 13.-15.June, 2012

Section in place of upper pre-stressing bar

Page 25: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

25

• 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

Page 26: Analysis  of Tri-axial Stress-strain Conditions  of Pre-stressed Masonry Corner

Thanks for attention!

VŠB-TU, Faculty of Civil Engineering

Ostrava, Czech Republic

REC 2012, Brno, Czech Republic, 13.-15. June, 2012