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Earthquake Tensile Stress


Earthquake loading: tensile stresses


Masonry may easily crack for low values of load due to the low tensile strength of the stones and mortar joints. This aspect makes masonry structures particularly vulnerable to earthquakes, which impose horizontal loading onto structures that are better designed to sustain vertical actions. This image shows in red those areas that are subjected to high tensile stresses and are prone to cracking. The analysis predicts that the structure will crack for very low values of horizontal load.


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Earthquake Tensile Stress


Earthquake loading: tensile stresses


Masonry may easily crack for low values of load due to the low tensile strength of the stones and mortar joints. This aspect makes masonry structures particularly vulnerable to earthquakes, which impose horizontal loading onto structures that are better designed to sustain vertical actions. This image shows in red those areas that are subjected to high tensile stresses and are prone to cracking. The analysis predicts that the structure will crack for very low values of horizontal load.


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3D finite element model
The model represents the three columns we inspected on-site




3D finite element model of the northern arcade. The geometry is obtained from the photogrammetry carried out. The finite element model allows to perform structural analysis of the arcade. We can subject the structure to different types of loading (e.g. gravity or earthquake loading) and understand the behavior of the arcade: its capacity, resisting mechanisms and vulnerable areas.
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3D finite element model
The model represents the three columns we inspected on-site




3D finite element model of the northern arcade. The geometry is obtained from the photogrammetry carried out. The finite element model allows to perform structural analysis of the arcade. We can subject the structure to different types of loading (e.g. gravity or earthquake loading) and understand the behavior of the arcade: its capacity, resisting mechanisms and vulnerable areas.
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THERMOGRAPHY
Analyses



Infrared thermography (IRT), thermal video and thermal imaging, is a process where a thermal camera captures and creates an image of an object by using infrared radiation emitted from the object in a process, which are examples of infrared imaging science. Thermographic cameras usually detect radiation in the long-infrared range of the electromagnetic spectrum (roughly 9,000–14,000 nanometers or 9–14 μm) and produce images of that radiation, called thermograms.
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THERMOGRAPHY
Analyses



Infrared thermography (IRT), thermal video and thermal imaging, is a process where a thermal camera captures and creates an image of an object by using infrared radiation emitted from the object in a process, which are examples of infrared imaging science. Thermographic cameras usually detect radiation in the long-infrared range of the electromagnetic spectrum (roughly 9,000–14,000 nanometers or 9–14 μm) and produce images of that radiation, called thermograms.
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FINITE ELEMENT
Analyses



The finite element method (FEM) is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.


The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain.[1] The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then approximates a solution by minimizing an associated error function via the calculus of variations.
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FINITE ELEMENT
Analyses



The finite element method (FEM) is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.


The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain.[1] The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then approximates a solution by minimizing an associated error function via the calculus of variations.
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Gravity loading


Gravity loading: displacements


These types of arch structures have a significant capacity under vertical loading, such as gravity. The colors show the displacements that the structure will suffer under gravity loading. Greatest displacements occur at the top of the arches, which is the most flexible part of the structure.


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Gravity loading


Gravity loading: displacements


These types of arch structures have a significant capacity under vertical loading, such as gravity. The colors show the displacements that the structure will suffer under gravity loading. Greatest displacements occur at the top of the arches, which is the most flexible part of the structure.


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GPR analyses


Cross-section of the base column obtained with Ground Penetrating Radar (GPR). Column 02


GPR is a non-destructive technique that consist in the illumination with high frequency electromagnetic waves of the inspected object. Different electromagnetic properties and discontinuities produce reflections that allows to characterize the internal structure.


Figures shows GPR slices of the base column (taken every 10 cm in height). The different attenuation of the electromagnetic signals in the limestone that form the external part of the base column, represented with bluish colours, and the centre of the base column, that is usually made of compressed sand, gravel, and little stones, in reddish colours.




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GPR analyses


Cross-section of the base column obtained with Ground Penetrating Radar (GPR). Column 02


GPR is a non-destructive technique that consist in the illumination with high frequency electromagnetic waves of the inspected object. Different electromagnetic properties and discontinuities produce reflections that allows to characterize the internal structure.


Figures shows GPR slices of the base column (taken every 10 cm in height). The different attenuation of the electromagnetic signals in the limestone that form the external part of the base column, represented with bluish colours, and the centre of the base column, that is usually made of compressed sand, gravel, and little stones, in reddish colours.




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GPR analyses


Cross-section of the base column obtained with Ground Penetrating Radar (GPR). Column 01


GPR is a non-destructive technique that consist in the illumination with high frequency electromagnetic waves of the inspected object. Different electromagnetic properties and discontinuities produce reflections that allows to characterize the internal structure.


Figures shows GPR slices of the base column (taken every 10 cm in height). The different attenuation of the electromagnetic signals in the limestone that form the external part of the base column, represented with bluish colours, and the centre of the base column, that is usually made of compressed sand, gravel, and little stones, in reddish colours.




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GPR analyses


Cross-section of the base column obtained with Ground Penetrating Radar (GPR). Column 01


GPR is a non-destructive technique that consist in the illumination with high frequency electromagnetic waves of the inspected object. Different electromagnetic properties and discontinuities produce reflections that allows to characterize the internal structure.


Figures shows GPR slices of the base column (taken every 10 cm in height). The different attenuation of the electromagnetic signals in the limestone that form the external part of the base column, represented with bluish colours, and the centre of the base column, that is usually made of compressed sand, gravel, and little stones, in reddish colours.




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Gravity loading


Gravity loading: compressive stresses


The good behavior of arched masonry structures is due to the high compressive strength of the stones. The image shows in blue the areas subjected to high compressive stresses and in red those areas not subjected to compression.


Gravity loading: interior compressive


The structural analysis allows us also to understand the load path and stress distribution in the interior of the structure. The image shows the distribution of compressive stresses inside the columns and arches, showing in blue the most compressed areas
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Gravity loading


Gravity loading: compressive stresses


The good behavior of arched masonry structures is due to the high compressive strength of the stones. The image shows in blue the areas subjected to high compressive stresses and in red those areas not subjected to compression.


Gravity loading: interior compressive


The structural analysis allows us also to understand the load path and stress distribution in the interior of the structure. The image shows the distribution of compressive stresses inside the columns and arches, showing in blue the most compressed areas
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GPR analyses


Cross-section of the base column obtained with Ground Penetrating Radar (GPR). Column 03


GPR is a non-destructive technique that consist in the illumination with high frequency electromagnetic waves of the inspected object. Different electromagnetic properties and discontinuities produce reflections that allows to characterize the internal structure.


Figures shows GPR slices of the base column (taken every 10 cm in height). The different attenuation of the electromagnetic signals in the limestone that form the external part of the base column, represented with bluish colours, and the centre of the base column, that is usually made of compressed sand, gravel, and little stones, in reddish colours.




HTMLText_2997972F_3218_578A_41BB_CDCCA8BD2B17_mobile.html =
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GPR analyses


Cross-section of the base column obtained with Ground Penetrating Radar (GPR). Column 03


GPR is a non-destructive technique that consist in the illumination with high frequency electromagnetic waves of the inspected object. Different electromagnetic properties and discontinuities produce reflections that allows to characterize the internal structure.


Figures shows GPR slices of the base column (taken every 10 cm in height). The different attenuation of the electromagnetic signals in the limestone that form the external part of the base column, represented with bluish colours, and the centre of the base column, that is usually made of compressed sand, gravel, and little stones, in reddish colours.




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Gravity loading


Gravity loading: tensile stresses


Masonry structures are particularly vulnerable in tension. This image shows in red those areas that are subjected to high tensile stresses and are thus prone to cracking.


Gravity loading: interior tensile stresses


The structural analysis allows us also to understand the load path and stress distribution in the interior of the structure. The image shows the distribution of tensile stresses inside the columns and arches, showing in red the areas subjected to high tensile stresses and more prone to cracking.
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Gravity loading


Gravity loading: tensile stresses


Masonry structures are particularly vulnerable in tension. This image shows in red those areas that are subjected to high tensile stresses and are thus prone to cracking.


Gravity loading: interior tensile stresses


The structural analysis allows us also to understand the load path and stress distribution in the interior of the structure. The image shows the distribution of tensile stresses inside the columns and arches, showing in red the areas subjected to high tensile stresses and more prone to cracking.
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Ultrasonic Tomography


Tomographic images of drum N 7. Column 02


There is an added element in the south side of the column, possibly repaired due to degradation issues. Pictures show (in false colour) the wave attenuation in different slices. Bluish colours (low attenuation values) indicate a uniform homogenous material while the reddish ones (high attenuation values) reveal the presence of defects or voids in the stone structure. Drum 7 presents more attenuation in its upper half compared with the lower one.


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Ultrasonic Tomography


Tomographic images of drum N 7. Column 02


There is an added element in the south side of the column, possibly repaired due to degradation issues. Pictures show (in false colour) the wave attenuation in different slices. Bluish colours (low attenuation values) indicate a uniform homogenous material while the reddish ones (high attenuation values) reveal the presence of defects or voids in the stone structure. Drum 7 presents more attenuation in its upper half compared with the lower one.


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Ultrasonic Tomography


Tomographic images of drum N 11. Column 03


Pictures show (in false colour) the wave attenuation in different slices. Bluish colours (low attenuation values) indicate a uniform homogenous material while the reddish ones (high attenuation values) reveal the presence of defects or voids in the stone structure. Drum 11 has a surface crack which can observed with naked eye, however; tomographic images clarify the crack’s depth as well as its geometry.


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Ultrasonic Tomography


Tomographic images of drum N 11. Column 03


Pictures show (in false colour) the wave attenuation in different slices. Bluish colours (low attenuation values) indicate a uniform homogenous material while the reddish ones (high attenuation values) reveal the presence of defects or voids in the stone structure. Drum 11 has a surface crack which can observed with naked eye, however; tomographic images clarify the crack’s depth as well as its geometry.


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TOMOGRAPHY
Analyses



Ultrasonic tomography is a non-destructive technique that allows internal cross section structures visualization. To obtain a tomographic image is necessary to emit and receive multiple ultrasonic waves covering all cross section. Faults, cracks or discontinuities detection are improved by tomographic analyses.
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TOMOGRAPHY
Analyses



Ultrasonic tomography is a non-destructive technique that allows internal cross section structures visualization. To obtain a tomographic image is necessary to emit and receive multiple ultrasonic waves covering all cross section. Faults, cracks or discontinuities detection are improved by tomographic analyses.
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Ground Pnetrating Radar
Analyses



Ground-penetrating radar (GPR) is a geophysical method that uses radar pulses to image the subsurface. It is a non-intrusive method of surveying the sub-surface to investigate underground utilities such as concrete, asphalt, metals, pipes, cables or masonry. This nondestructive method uses electromagnetic radiation in the microwave band (UHF/VHF frequencies) of the radio spectrum, and detects the reflected signals from subsurface structures. GPR can have applications in a variety of media, including rock, soil, ice, fresh water, pavements and structures. In the right conditions, practitioners can use GPR to detect subsurface objects, changes in material properties, and voids and cracks.
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Ground Pnetrating Radar
Analyses



Ground-penetrating radar (GPR) is a geophysical method that uses radar pulses to image the subsurface. It is a non-intrusive method of surveying the sub-surface to investigate underground utilities such as concrete, asphalt, metals, pipes, cables or masonry. This nondestructive method uses electromagnetic radiation in the microwave band (UHF/VHF frequencies) of the radio spectrum, and detects the reflected signals from subsurface structures. GPR can have applications in a variety of media, including rock, soil, ice, fresh water, pavements and structures. In the right conditions, practitioners can use GPR to detect subsurface objects, changes in material properties, and voids and cracks.
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Earthquake Displacement


The northern arcade is subjected to gravity loading to better understand its structural behavior.


Under earthquake horizontal loading, these types of arch structures are particularly vulnerable. This is due to their slenderness and the low capacity in tension. The image shows the structure subjected to horizontal loading perpendicular to the arches’ direction. As expected, the greatest displacements (shown in red) occur at the top of the arches.
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Earthquake Displacement


The northern arcade is subjected to gravity loading to better understand its structural behavior.


Under earthquake horizontal loading, these types of arch structures are particularly vulnerable. This is due to their slenderness and the low capacity in tension. The image shows the structure subjected to horizontal loading perpendicular to the arches’ direction. As expected, the greatest displacements (shown in red) occur at the top of the arches.
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Earthquake Crack


The earthquake is simulated as an horizontal load applied to the northern arcade.


Masonry may easily crack for low values of load due to the low tensile strength of the stones and mortar joints. This aspect makes masonry structures particularly vulnerable to earthquakes, which impose horizontal loading onto structures that are better designed to sustain vertical actions. This image shows where damage (cracks) would arise under earthquake loading. Red areas are the most damaged areas, but blue areas will also show cracking.
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Earthquake Crack


The earthquake is simulated as an horizontal load applied to the northern arcade.


Masonry may easily crack for low values of load due to the low tensile strength of the stones and mortar joints. This aspect makes masonry structures particularly vulnerable to earthquakes, which impose horizontal loading onto structures that are better designed to sustain vertical actions. This image shows where damage (cracks) would arise under earthquake loading. Red areas are the most damaged areas, but blue areas will also show cracking.
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At_Cota56 album_436DB756_56F7_5297_41D4_7CCC4B5F5A1E_0.label = 2nd Column. At_Cota56 album_436DB756_56F7_5297_41D4_7CCC4B5F5A1E_1.label = 2nd Column. At_Cota57 album_436DB756_56F7_5297_41D4_7CCC4B5F5A1E_2.label = 2nd Column. At_Cota58 album_436DB756_56F7_5297_41D4_7CCC4B5F5A1E_3.label = 2nd Column. At_Cota59 album_6771F893_574A_FF97_41CD_C4AF3248A4E8.label = Photo Album 3rd Column. 4th Drum album_6771F893_574A_FF97_41CD_C4AF3248A4E8_0.label = 3rd Column. 4th Drum album_6771F893_574A_FF97_41CD_C4AF3248A4E8_1.label = 3rd Column. At_Cota0 album_6771F893_574A_FF97_41CD_C4AF3248A4E8_2.label = 3rd Column. At_Cota1 album_6771F893_574A_FF97_41CD_C4AF3248A4E8_3.label = 3rd Column. At_Cota2 album_6771F893_574A_FF97_41CD_C4AF3248A4E8_4.label = 3rd Column. At_Cota3 album_E586F8CA_F492_BF99_41B1_D6F8F88E6640.label = Photo Album Earthquake_Displ_deformed1 album_E8E65EF6_F0A9_D35B_41D2_2BEEDF021DBE.label = Photo Album Earthquake_Crack_deformed1 panorama_12D1CD5E_1867_1626_41B1_23A43238798E.label = Campata5_0015 panorama_12D48EE0_1867_721A_41B5_30112B9BE66E.label = Campata4_0010 panorama_12D49FBF_1867_1266_4191_8FBA13395C58.label = Campata3_0005 panorama_13255CDC_1867_3629_41B7_DD5598BB710E.label = Campata6_0020 panorama_40353911_4C5B_6A5F_41C7_F3D66FDF3174.label = Campata7_0025 panorama_4859672D_46ED_489B_41C7_7DB73F932C9A.label = Campata2 panorama_DD0FC5D5_D621_B221_41C4_8AB8C7A40207.label = 01B panorama_DF99D9AB_D622_9261_41D7_5E565AE1E95A.label = 04 panorama_DF9DE87C_D621_72E7_41CA_B295F6E28E6C.label = 03 panorama_DF9E6B1E_D622_B620_41B2_D140E6502CB2.label = 05 panorama_DFF5A70A_D621_9E20_416B_CC5069929B97.label = 02 photo_74A30AAD_56D6_F3B7_41B8_3075318CD60B.label = 00_2nd Column. 7th Drum2 photo_74A30AAD_56D6_F3B7_41B8_3075318CD60B.label = 00_2nd Column. 7th Drum2 video_64CDBEE5_6AC9_441F_41B3_2698F6E8A4BE.label = carmovideo720 video_6702BB8A_575F_7270_4196_9CEF50CDC43A.label = 3rd Column. Matlab Animation video_7B6ED381_573B_3273_41C7_5C2A00BE85A5.label = 2nd Column. 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