P.A. Korswagen Eguren
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20 records found
1
Effects of Climate Change on Weather-Induced Loads on Buildings
Implications for Characteristic Values of Precipitation, Snow, and Wind Loads in the Netherlands
For precipitation, recent Dutch depth-duration-frequency studies indicate that the current 50-year return level for 5-minute precipitation events is already approximately 20% higher than the value prescribed in the Dutch National Annex. The climate projections indicate a further increase in extreme precipitation, resulting in an estimated factor of change of approximately 1.06 for a 50-year return level under 1.1°C global warming relative to the 1991-2020 reference period. Combined, these findings imply that emergency drainage widths may need to increase by approximately 27% compared with current practice.
Historical snow depth observations showed decreasing trends in annual maximum snow depth, while estimated 50-year return levels were generally lower than the current characteristic ground snow load. Although quantitative snow projections are unavailable, multiple climate indicators consistently suggest that conditions favourable for snowfall and persistent snow cover will become less frequent under future climate change.
For wind, estimated 50-year return levels of the 10-minute mean wind velocity were generally comparable to or lower than the values prescribed in the Dutch National Annex. Furthermore, the KNMI'23 Climate Scenarios project only minor changes in extreme wind velocities relative to the associated model uncertainty, indicating no clear need to revise the current characteristic wind loads. ...
For precipitation, recent Dutch depth-duration-frequency studies indicate that the current 50-year return level for 5-minute precipitation events is already approximately 20% higher than the value prescribed in the Dutch National Annex. The climate projections indicate a further increase in extreme precipitation, resulting in an estimated factor of change of approximately 1.06 for a 50-year return level under 1.1°C global warming relative to the 1991-2020 reference period. Combined, these findings imply that emergency drainage widths may need to increase by approximately 27% compared with current practice.
Historical snow depth observations showed decreasing trends in annual maximum snow depth, while estimated 50-year return levels were generally lower than the current characteristic ground snow load. Although quantitative snow projections are unavailable, multiple climate indicators consistently suggest that conditions favourable for snowfall and persistent snow cover will become less frequent under future climate change.
For wind, estimated 50-year return levels of the 10-minute mean wind velocity were generally comparable to or lower than the values prescribed in the Dutch National Annex. Furthermore, the KNMI'23 Climate Scenarios project only minor changes in extreme wind velocities relative to the associated model uncertainty, indicating no clear need to revise the current characteristic wind loads.
Using an orthotropic continuum damage model for the structural analysis of cast iron plate structures
Case study of lighthouse the Lange Jaap
First, to obtain the required input parameters for an orthotropic continuum damage model,
detailed models of small plate structures are created. Different loading conditions are applied, and the resulting force-displacement curves are analysed to derive constitutive laws for the structural analysis. Next, a sensitivity study of the size effect of the structure is performed, which resulted in some changes in the failure modes for some of the loading types. This resulted in quite a difference in strength and ultimate strain between the small and large structures. For each load case, a unit structure size should be defined, which should have the same failure modes as those expected to occur in the large structure the study focuses on. After obtaining the input parameters, they are verified and calibrated by using them in equivalent EMM models of the small plate structures.
The final, calibrated input parameters were used in an orthotropic continuum damage model for the cast iron plate structure of lighthouse the Lange Jaap and it was concluded that very similar results were obtained as from a detailed model, when all strains were in the linear-elastic regime. As the obtained values of the bed- and head-joint tensile strengths that were quite low, the tensile stresses exceeded the tensile strength of the material quite quickly in the model of the lighthouse. Once plastic deformations occurred, cracks started to form and the analysis of the model quickly became unstable, so the results were no longer accurate. This shows that, after the calibration of the parameters, the linear-elastic behaviour of the structure is accurately captured in the model, while the plastic behaviour is not.
It is concluded that, by using an orthotropic continuum damage model, the complexity of a structural analysis of a cast iron plate structure is reduced in the following way: reduced total modelling time, reduced complexity of geometry and reduced running time of analysis. The last point is achieved by using regular curved shell elements instead of structural solids, which is the result of the simplification in geometry. Using an orthotropic continuum damage model for similar structures is a very suitable modelling method for studies in which many finite element analyses have to be made for a structure, where small changes are made in every analysis. For the lighthouse structure, a study of the effectiveness of different strengthening solutions for the columns is a very good example. ...
First, to obtain the required input parameters for an orthotropic continuum damage model,
detailed models of small plate structures are created. Different loading conditions are applied, and the resulting force-displacement curves are analysed to derive constitutive laws for the structural analysis. Next, a sensitivity study of the size effect of the structure is performed, which resulted in some changes in the failure modes for some of the loading types. This resulted in quite a difference in strength and ultimate strain between the small and large structures. For each load case, a unit structure size should be defined, which should have the same failure modes as those expected to occur in the large structure the study focuses on. After obtaining the input parameters, they are verified and calibrated by using them in equivalent EMM models of the small plate structures.
The final, calibrated input parameters were used in an orthotropic continuum damage model for the cast iron plate structure of lighthouse the Lange Jaap and it was concluded that very similar results were obtained as from a detailed model, when all strains were in the linear-elastic regime. As the obtained values of the bed- and head-joint tensile strengths that were quite low, the tensile stresses exceeded the tensile strength of the material quite quickly in the model of the lighthouse. Once plastic deformations occurred, cracks started to form and the analysis of the model quickly became unstable, so the results were no longer accurate. This shows that, after the calibration of the parameters, the linear-elastic behaviour of the structure is accurately captured in the model, while the plastic behaviour is not.
It is concluded that, by using an orthotropic continuum damage model, the complexity of a structural analysis of a cast iron plate structure is reduced in the following way: reduced total modelling time, reduced complexity of geometry and reduced running time of analysis. The last point is achieved by using regular curved shell elements instead of structural solids, which is the result of the simplification in geometry. Using an orthotropic continuum damage model for similar structures is a very suitable modelling method for studies in which many finite element analyses have to be made for a structure, where small changes are made in every analysis. For the lighthouse structure, a study of the effectiveness of different strengthening solutions for the columns is a very good example.
Reinforcing a Tall Iron Tower Using Structural Glass
Investigation into possible structural restoration methods for the Lange Jaap lighthouse
For this research, the specific case study of the Lange Jaap was examined. Based on the existing proposed solutions for this case study, as well as solutions related to existing research on structural glass, 21 variants were proposed. The ideas range from simple, practical solutions to more experimental concepts, ensuring that a wide range of possibilities was considered.
In the first round, impractical designs were eliminated based on sketches and initial estimates on their effectiveness. A variant was taken to the next round if it could be verified structurally, did not drastically alter the appearance of the lighthouse, and had realistic construction potential. Eleven variants met these criteria and were evaluated further.
The second round included simplified hand calculations and digital renders to assess feasibility and obtain preliminary, conservative dimensions. From these analyses, three variants remained for detailed evaluation. The final round evaluated these three variants and involved more accurate calculations, including load combinations. These were used to estimate required material quantities and assess performance under wind and temperature loads for a variety of cross-sections. Each variant was then rated in a multi-criteria analysis (MCA), based on constructability, effectiveness, and preservation of heritage value.
From this analysis, the 'glass fin variant' was identified as the best-performing solution. The 'glass fin variant' uses vertical glass fins attached externally to the Lange Jaap to reduce deflection caused by wind and temperature. The detailed final design specifies that the fins are formed from prefabricated float-glass panels which are laminated with a PVB-interlayer and glued to steel plates. The steel plates are bolted to the tower at regular intervals. This configuration achieves a 59% reduction in deflection of the tower, and a 41% reduction in stresses inside the floors under wind loading. The total estimated material cost is approximately €2.56 million.
In the Netherlands 12 cast-iron lighthouses were built, of which 10 exist to this day. These lighthouses were evaluated based on their current condition, as well as three tall iron structures in other countries. From this, only two cases were found that had any problems and required a reinforcement solution.
Overall, this research demonstrates that it is possible to reinforce a tall iron structure using structural glass. There are however not many structures in the world where this solution can be applied, as properly maintaining the structures is usually preferred. For the structures where maintenance is not possible, the 'glass fin' solution can be applied, though further research and testing is required before it can actually be implemented.
...
For this research, the specific case study of the Lange Jaap was examined. Based on the existing proposed solutions for this case study, as well as solutions related to existing research on structural glass, 21 variants were proposed. The ideas range from simple, practical solutions to more experimental concepts, ensuring that a wide range of possibilities was considered.
In the first round, impractical designs were eliminated based on sketches and initial estimates on their effectiveness. A variant was taken to the next round if it could be verified structurally, did not drastically alter the appearance of the lighthouse, and had realistic construction potential. Eleven variants met these criteria and were evaluated further.
The second round included simplified hand calculations and digital renders to assess feasibility and obtain preliminary, conservative dimensions. From these analyses, three variants remained for detailed evaluation. The final round evaluated these three variants and involved more accurate calculations, including load combinations. These were used to estimate required material quantities and assess performance under wind and temperature loads for a variety of cross-sections. Each variant was then rated in a multi-criteria analysis (MCA), based on constructability, effectiveness, and preservation of heritage value.
From this analysis, the 'glass fin variant' was identified as the best-performing solution. The 'glass fin variant' uses vertical glass fins attached externally to the Lange Jaap to reduce deflection caused by wind and temperature. The detailed final design specifies that the fins are formed from prefabricated float-glass panels which are laminated with a PVB-interlayer and glued to steel plates. The steel plates are bolted to the tower at regular intervals. This configuration achieves a 59% reduction in deflection of the tower, and a 41% reduction in stresses inside the floors under wind loading. The total estimated material cost is approximately €2.56 million.
In the Netherlands 12 cast-iron lighthouses were built, of which 10 exist to this day. These lighthouses were evaluated based on their current condition, as well as three tall iron structures in other countries. From this, only two cases were found that had any problems and required a reinforcement solution.
Overall, this research demonstrates that it is possible to reinforce a tall iron structure using structural glass. There are however not many structures in the world where this solution can be applied, as properly maintaining the structures is usually preferred. For the structures where maintenance is not possible, the 'glass fin' solution can be applied, though further research and testing is required before it can actually be implemented.
The work combines nonlinear static and dynamic analyses in DIANA within a macro-modelling framework using a Total Strain Fixed Crack model calibrated from literature. Pushover analyses establish direction-dependent capacity, drift limits, and mechanism trends; nonlinear time-history analyses capture transient response under recorded ground motion. Neighbouring building collapse was examined through an exploratory numerical study in which a simplified sustained lateral pressure was applied to the south wall during the strong-motion window. The representation is non-calibrated and used to indicate trend-level shifts in demand rather than predictive values.
In isolation, results indicate moderate lateral capacity with strain localisation at openings and roof–wall/dome–drum junctions. Dynamic peaks remain within the pushover plateaus, and control-point drifts lie in a range consistent with no indications of triggering full collapse scenario, noting that principal-strain maps reflect upper-bound transient demand because cracks open and close cyclically. A simplified interaction case was included only as a sensitivity check; because it neglects contact transients, friction, eccentricity and vertical load transfer, no quantitative findings are reported from it. At most, the check suggests that adding a sustained lateral pressure could redistribute demand toward out-of-plane action on the loaded façade. These indications motivate future, higher-fidelity interaction modelling rather than supporting a firm conclusion here. Taken together with field evidence, this supports the interpretation that neighbouring collapse plausibly acted as a trigger for the most severe local failures, while the mosque alone would likely have sustained repairable damage.
The findings clarify seismic risk for historical masonry located in dense urban settings and motivate interaction-aware assessment, including explicit contact or bounded pulse models, to study cascading failure mechanisms.
...
The work combines nonlinear static and dynamic analyses in DIANA within a macro-modelling framework using a Total Strain Fixed Crack model calibrated from literature. Pushover analyses establish direction-dependent capacity, drift limits, and mechanism trends; nonlinear time-history analyses capture transient response under recorded ground motion. Neighbouring building collapse was examined through an exploratory numerical study in which a simplified sustained lateral pressure was applied to the south wall during the strong-motion window. The representation is non-calibrated and used to indicate trend-level shifts in demand rather than predictive values.
In isolation, results indicate moderate lateral capacity with strain localisation at openings and roof–wall/dome–drum junctions. Dynamic peaks remain within the pushover plateaus, and control-point drifts lie in a range consistent with no indications of triggering full collapse scenario, noting that principal-strain maps reflect upper-bound transient demand because cracks open and close cyclically. A simplified interaction case was included only as a sensitivity check; because it neglects contact transients, friction, eccentricity and vertical load transfer, no quantitative findings are reported from it. At most, the check suggests that adding a sustained lateral pressure could redistribute demand toward out-of-plane action on the loaded façade. These indications motivate future, higher-fidelity interaction modelling rather than supporting a firm conclusion here. Taken together with field evidence, this supports the interpretation that neighbouring collapse plausibly acted as a trigger for the most severe local failures, while the mosque alone would likely have sustained repairable damage.
The findings clarify seismic risk for historical masonry located in dense urban settings and motivate interaction-aware assessment, including explicit contact or bounded pulse models, to study cascading failure mechanisms.
Concrete filled steel pipe piles to concrete cap connection
Contribution of confinement
...
This research focuses on comparing Accoya® with unmodified wood and investigates Accoya®’s structural performance in environments with varying relative humidity levels. The wood’s moisture content, and consequently its swelling and shrinking behavior, fluctuates on an annual basis due to these varying relative humidity levels, especially when exposed to outdoor conditions. FEM analyses were conducted to investigate physical properties and the performance of moment-resistant connections, with their implementation aimed at incorporating rotational stiffness into a structural portal frame. Accoya® demonstrates excellent moisture resistance and an increase in dimensional stability of approximately 80%, based on Dutch climate conditions. The reduction in swelling alleviates internal stresses within the connections, enhancing the strength and stiffness of moment-resisting connections. Specifically, a clamped connection and a circular dowel connection were analysed using a linear elastic static FEM model, revealing internal stress reductions of 81% and 52%, respectively. This reduction was observed during the simulated initial annual swelling cycle that the wood may undergo. With the use of Accoya®, significantly less plastic deformation is expected in connections due to swelling issues compared to unmodified wood and reduced deflection in structures is expected. An increase of 219% and 58% in rotational stiffness was observed for the respective cases. To evaluate the impact on overall stiffness, these observed values were implemented in a portal frame structure. A reduction in horizontal displacement was observed ranging from 31% to 66%. This opens up new possibilities in structural wood design, allowing for slimmer and lighter wood constructions. Due to Accoya®’s lower property degradation and more stable structural performance in high-humidity conditions, an adjustment of the kmod and kddef factors is suggested; however, this is not sufficiently substantiated in the current study. Future research could explore long-term performance factors with experiments such as creep and fatigue to validate Accoya®’s structural reliability further. ...
This research focuses on comparing Accoya® with unmodified wood and investigates Accoya®’s structural performance in environments with varying relative humidity levels. The wood’s moisture content, and consequently its swelling and shrinking behavior, fluctuates on an annual basis due to these varying relative humidity levels, especially when exposed to outdoor conditions. FEM analyses were conducted to investigate physical properties and the performance of moment-resistant connections, with their implementation aimed at incorporating rotational stiffness into a structural portal frame. Accoya® demonstrates excellent moisture resistance and an increase in dimensional stability of approximately 80%, based on Dutch climate conditions. The reduction in swelling alleviates internal stresses within the connections, enhancing the strength and stiffness of moment-resisting connections. Specifically, a clamped connection and a circular dowel connection were analysed using a linear elastic static FEM model, revealing internal stress reductions of 81% and 52%, respectively. This reduction was observed during the simulated initial annual swelling cycle that the wood may undergo. With the use of Accoya®, significantly less plastic deformation is expected in connections due to swelling issues compared to unmodified wood and reduced deflection in structures is expected. An increase of 219% and 58% in rotational stiffness was observed for the respective cases. To evaluate the impact on overall stiffness, these observed values were implemented in a portal frame structure. A reduction in horizontal displacement was observed ranging from 31% to 66%. This opens up new possibilities in structural wood design, allowing for slimmer and lighter wood constructions. Due to Accoya®’s lower property degradation and more stable structural performance in high-humidity conditions, an adjustment of the kmod and kddef factors is suggested; however, this is not sufficiently substantiated in the current study. Future research could explore long-term performance factors with experiments such as creep and fatigue to validate Accoya®’s structural reliability further.
In the current state of the art, less distinction is made regarding the difference in effects between different subsidence drivers. This study aims to provide insights into the relative influence of different drivers on the damage to existing buildings with a shallow foundation. More specifically, it aims to understand how various conditions and factors influence the damage parameters associated with soil deformation. This approach allows for analysing the interactions between the soil and the structure, ultimately contributing to a better understanding of the relative influence of the different drivers.
Numerical models in PLAXIS 2D have been carried out to compute settlements for various scenarios, involving different soil scenarios, building scenarios, and subsidence drivers. The primary emphasis of numerical modelling lies on the soil rather than on the structure itself. Various damage parameters have been established based on the numerically calculated settlements. The purpose of this analysis is to determine the impact of settlements on the building based on these damage parameters.
Several aspects related to settlement occurrence and its impact on buildings were investigated. The study provides multiple outcomes regarding the interaction between soil scenarios, different drivers of subsidence, and the presence of an existing building with and without a partial basement. This was achieved by considering the influence of each of these variables on the damage parameters, with emphasis placed on the relative influence of the different drivers. The approach includes a method that compares the influence of the situation with the existing building and the situation without the existing building (greenfield situation). This comparison shows the settlement behaviour caused by the presence of the building load and its interaction with the soil. Additionally, the combined effects of the soil scenarios, different drivers, and building scenarios on the resulting damage to an existing building are considered.
To conclude, for the soil scenarios considered in this study, the soil scenario with a weak spot (SS3) has the most unfavourable effect on an existing building. For the drivers considered in this study, when evaluating the relative influence of the different drivers, the global groundwater lowering (D2glo) has the most unfavourable effect. Considering the combined effect, the soil scenario exerts the greatest influence on the resulting damage parameters for the evaluated scenarios, followed by the type of driver and the building scenario. ...
In the current state of the art, less distinction is made regarding the difference in effects between different subsidence drivers. This study aims to provide insights into the relative influence of different drivers on the damage to existing buildings with a shallow foundation. More specifically, it aims to understand how various conditions and factors influence the damage parameters associated with soil deformation. This approach allows for analysing the interactions between the soil and the structure, ultimately contributing to a better understanding of the relative influence of the different drivers.
Numerical models in PLAXIS 2D have been carried out to compute settlements for various scenarios, involving different soil scenarios, building scenarios, and subsidence drivers. The primary emphasis of numerical modelling lies on the soil rather than on the structure itself. Various damage parameters have been established based on the numerically calculated settlements. The purpose of this analysis is to determine the impact of settlements on the building based on these damage parameters.
Several aspects related to settlement occurrence and its impact on buildings were investigated. The study provides multiple outcomes regarding the interaction between soil scenarios, different drivers of subsidence, and the presence of an existing building with and without a partial basement. This was achieved by considering the influence of each of these variables on the damage parameters, with emphasis placed on the relative influence of the different drivers. The approach includes a method that compares the influence of the situation with the existing building and the situation without the existing building (greenfield situation). This comparison shows the settlement behaviour caused by the presence of the building load and its interaction with the soil. Additionally, the combined effects of the soil scenarios, different drivers, and building scenarios on the resulting damage to an existing building are considered.
To conclude, for the soil scenarios considered in this study, the soil scenario with a weak spot (SS3) has the most unfavourable effect on an existing building. For the drivers considered in this study, when evaluating the relative influence of the different drivers, the global groundwater lowering (D2glo) has the most unfavourable effect. Considering the combined effect, the soil scenario exerts the greatest influence on the resulting damage parameters for the evaluated scenarios, followed by the type of driver and the building scenario.
Deep Learning-based Segmentation of Cracks within a Photogrammetry Solution
Fully-Supervised Learning, Transfer Learning and Photogrammetric Image Processing
As manual visual inspection of this imagery is very time-consuming, this work proposes a methodology based on fully-supervised deep learning-based segmentation techniques with the goal of detecting and localizing cracks in the masonry quay walls. For this purpose, two neural networks are trained, one for the segmentation of quay walls in images, and one for the segmentation of cracks.
The neural network architectures which are considered in this work are DeepLabV3+, FPN, MANet and LinkNet, together with different encoders and loss functions. For quay wall segmentation, we adopt transfer learning on a network trained on masonry walls and fine-tune it for quay walls specifically. Here, DeepLabV3+ with ResNeXt-50 was found to be most effective, achieving a F1-score of 96.3 % on the test set. For crack segmentation, FPN with ResNeSt-50 performed best, resulting in a test set F1-score of 78.8 %.
The inference of the crack network is done with a multi-level scheme to detect cracks at different image scales and increase output confidence.
The inherent photogrammetric properties of the imagery have proven to be vital for further post-processing steps, like aggregating overlapping predictions, resulting in more prediction confidence.
Photogrammetry also enables converting pixel-wise predictions to crack length and crack width in the units of meters and millimeters respectively. The methodology additionally proposes photogrammetric image processing methods to transform neural network predictions to a 3D representation and a true-to-scale orthographic 2D image.
Additionally a concise visual evaluation has been conducted to assess the prediction performance on an otherwise unlabelled dataset.
This thesis presents an engineering effort for fully-supervised crack localization within the context of photogrammetric processed images, with generalization in mind for automatic assessment. ...
As manual visual inspection of this imagery is very time-consuming, this work proposes a methodology based on fully-supervised deep learning-based segmentation techniques with the goal of detecting and localizing cracks in the masonry quay walls. For this purpose, two neural networks are trained, one for the segmentation of quay walls in images, and one for the segmentation of cracks.
The neural network architectures which are considered in this work are DeepLabV3+, FPN, MANet and LinkNet, together with different encoders and loss functions. For quay wall segmentation, we adopt transfer learning on a network trained on masonry walls and fine-tune it for quay walls specifically. Here, DeepLabV3+ with ResNeXt-50 was found to be most effective, achieving a F1-score of 96.3 % on the test set. For crack segmentation, FPN with ResNeSt-50 performed best, resulting in a test set F1-score of 78.8 %.
The inference of the crack network is done with a multi-level scheme to detect cracks at different image scales and increase output confidence.
The inherent photogrammetric properties of the imagery have proven to be vital for further post-processing steps, like aggregating overlapping predictions, resulting in more prediction confidence.
Photogrammetry also enables converting pixel-wise predictions to crack length and crack width in the units of meters and millimeters respectively. The methodology additionally proposes photogrammetric image processing methods to transform neural network predictions to a 3D representation and a true-to-scale orthographic 2D image.
Additionally a concise visual evaluation has been conducted to assess the prediction performance on an otherwise unlabelled dataset.
This thesis presents an engineering effort for fully-supervised crack localization within the context of photogrammetric processed images, with generalization in mind for automatic assessment.
The study begins with the development of a three-dimensional symmetrical finite element model that captures its intricate geometrical and material properties. The structure’s behavior is simulated under realistic loading conditions to assess its structural performance and identify potential areas of concern. To validate the accuracy of the numerical analysis, experimental data obtained from fiber optic sensors are used. After converting the measured strains into stresses, they are carefully compared with the finite element analysis results to identify any variations and fine-tune the model. The validation of the FE model is performed using a 2D plate model in SCIA Engineering.
The research investigates the effects of hydration heat along with the structural analysis in FEA on the stresses experienced by the steel elements in the mass structure. This further extends to the effects of bedding and inclined piles combined with the thermo-mechanical analysis, where properties such as stiffness are varied in the simulations to study their influence on the structural response. It is imperative to note that utilizing the FE model with solely non-linear structural analysis can lead to a significant overestimation of the expected field results, up to 87 times. To mitigate this issue, the variant with thermo-mechanical analysis is implemented, reducing this estimation to a maximum factor of 58 compared to the field data.
It is crucial to achieve a satisfactory level of the project through iterative modifications. Implementing soil bedding on all sides in the thermo-mechanical model is one such step to effectively reduce steel stress to an acceptable level. The model shows steel stresses that are approximately 26 times higher than the actual experimental values. Along with reducing the steel stresses, the crack widths have decreased considerably from 3.4 mm to 2.35 mm. Hence, the effective way to perform the numerical simulation is to consider thermo-mechanical coupling along with minimizing assumptions and ensuring sufficient stiffness of the structure for reliable assessments of steel stresses and structural integrity of onshore wind turbine foundations.
The findings contribute valuable insights into the foundation’s structural behavior under varying operational conditions, highlighting areas of strength and potential advancement. Moreover, the outcomes from this investigation can assist engineers and designers in making informed decisions during the planning and construction phases of wind turbine foundations, leading to more cost-effective and robust structures. Additionally, the methodologies presented here may serve as a framework for future research in this field. ...
The study begins with the development of a three-dimensional symmetrical finite element model that captures its intricate geometrical and material properties. The structure’s behavior is simulated under realistic loading conditions to assess its structural performance and identify potential areas of concern. To validate the accuracy of the numerical analysis, experimental data obtained from fiber optic sensors are used. After converting the measured strains into stresses, they are carefully compared with the finite element analysis results to identify any variations and fine-tune the model. The validation of the FE model is performed using a 2D plate model in SCIA Engineering.
The research investigates the effects of hydration heat along with the structural analysis in FEA on the stresses experienced by the steel elements in the mass structure. This further extends to the effects of bedding and inclined piles combined with the thermo-mechanical analysis, where properties such as stiffness are varied in the simulations to study their influence on the structural response. It is imperative to note that utilizing the FE model with solely non-linear structural analysis can lead to a significant overestimation of the expected field results, up to 87 times. To mitigate this issue, the variant with thermo-mechanical analysis is implemented, reducing this estimation to a maximum factor of 58 compared to the field data.
It is crucial to achieve a satisfactory level of the project through iterative modifications. Implementing soil bedding on all sides in the thermo-mechanical model is one such step to effectively reduce steel stress to an acceptable level. The model shows steel stresses that are approximately 26 times higher than the actual experimental values. Along with reducing the steel stresses, the crack widths have decreased considerably from 3.4 mm to 2.35 mm. Hence, the effective way to perform the numerical simulation is to consider thermo-mechanical coupling along with minimizing assumptions and ensuring sufficient stiffness of the structure for reliable assessments of steel stresses and structural integrity of onshore wind turbine foundations.
The findings contribute valuable insights into the foundation’s structural behavior under varying operational conditions, highlighting areas of strength and potential advancement. Moreover, the outcomes from this investigation can assist engineers and designers in making informed decisions during the planning and construction phases of wind turbine foundations, leading to more cost-effective and robust structures. Additionally, the methodologies presented here may serve as a framework for future research in this field.
To solve that problem, experts can be provided with an independent tool which can contribute to the investigation of the cause of building damage. The tool can help to indicate potential damage causes. This will support the findings of experts. Also, it can draw attention to overlooked damage causes.
The tool is based on relations found in a database of damage cases that have been determined earlier. The database consists of damage cases in the Groningen province. Not all available damage cases were incorporated in this thesis, because processing the damage reports to a database was a labour-intensive job. The analysed dataset consists of 1830 damage cases in 49 buildings. Experts were able to determine the cause of damage in 1180 of these damage cases, which results in a ratio of 64.4% known cases. Only the known cases where applied in the analysis. The buildings were located in seven different areas in the province of Groningen.
Each analysed damage case consists of a damage cause and a description. A description has been structured in 191 characteristics. These characteristics have been categorised into three types: building characteristics, context characteristics and damage characteristics. Building characteristics say something about the function, materials and size of the building. Context characteristics explain the sub soil, vibration sources and external forces in the surrounding of the building. Damage characteristics describe how damage is presented in terms of position, location and shape of damage.
Whether the found relations can be deployed in practice, depends on how useful those relations are. Useful is defined as reliable and meaningful. Reliable is how a found pattern performs according to a test, mostly measured in terms of accuracy or coefficient of determination. Meaningful is whether the found relations are logical to be explained by literature or plausible damage situations. The pattern recognition can introduce some relations and can provide them with a reliability value. However, if the relations are not explainable, they do not mean anything for use in practice.
The relations in these data were found by deploying pattern recognition methods. Two algorithms were utilized as a pattern recognition method: decision tree and linear regression. A decision tree algorithm splits the data into groups by applying thresholds on case characteristics. These thresholds can be made visual in a decision tree figure. Linear regression tries to obtain a target value by means of a linear relation of characteristics. Therefore, the linear regression algorithm determines the slope value of each characteristic.
Classification analyses were done with decision trees on six damage cause categories. The results of that type of analysis were capable of determining if or which damage was caused by a certain cause. Linear regression was performed in order to find regression relations where the technical attributability of a damage cause could be calculated for each case. In the more complex task of regression analysis, only three damage cause categories were suitable for finding a relation.
To determine whether damage was caused by earthquakes, earthquake load in terms of PGV is an important characteristic. Also, the age of a building and trees has a possible significant influence on the occurrence of earthquake damage, according to the found pattern. A relation between those last two characteristics and earthquake damage is not described in literature. Besides that, this decision tree pattern seems to be the most useful pattern for in practice.
Another interesting finding is that hindered deformation mostly occurred at the inside of a building. Combined with other characteristics, a pattern on this damage cause performed with the highest score in this thesis. It has an accuracy of 77%. This means that 77% of the cases in the test set were correctly predicted by the produced classification decision tree. However, the found relation with the characteristics is not always explainable or meaningful so as to be applied in practice. More conclusions of classification analysis are shown in Table 1.
<Table 1, See abstract in report>
The presented findings above are classification relations. Regression analyses were difficult to execute. A desired positive coefficient of determination (R2) could not be reached without subjective interference in the pattern recognition. The best regression result was obtained on damage caused by earthquakes. It had a R2 of 0.48. Which means that 48% of the data was describable in a linear relation. More conclusions of regression analysis are shown in Table 2.
<Table 2, See abstract in report>
It has been interesting to study the relation between characteristics and damage causes. However, the results are not of decisive importance. The building and context characteristics supported by literature were not always selected or applied properly by the pattern recognition. Also, the potential of damage characteristics was not recognized by the algorithms. Nonetheless, the results of earthquake related damage seem promising. They even indicate characteristics which may be worth investigating more closely.
...
To solve that problem, experts can be provided with an independent tool which can contribute to the investigation of the cause of building damage. The tool can help to indicate potential damage causes. This will support the findings of experts. Also, it can draw attention to overlooked damage causes.
The tool is based on relations found in a database of damage cases that have been determined earlier. The database consists of damage cases in the Groningen province. Not all available damage cases were incorporated in this thesis, because processing the damage reports to a database was a labour-intensive job. The analysed dataset consists of 1830 damage cases in 49 buildings. Experts were able to determine the cause of damage in 1180 of these damage cases, which results in a ratio of 64.4% known cases. Only the known cases where applied in the analysis. The buildings were located in seven different areas in the province of Groningen.
Each analysed damage case consists of a damage cause and a description. A description has been structured in 191 characteristics. These characteristics have been categorised into three types: building characteristics, context characteristics and damage characteristics. Building characteristics say something about the function, materials and size of the building. Context characteristics explain the sub soil, vibration sources and external forces in the surrounding of the building. Damage characteristics describe how damage is presented in terms of position, location and shape of damage.
Whether the found relations can be deployed in practice, depends on how useful those relations are. Useful is defined as reliable and meaningful. Reliable is how a found pattern performs according to a test, mostly measured in terms of accuracy or coefficient of determination. Meaningful is whether the found relations are logical to be explained by literature or plausible damage situations. The pattern recognition can introduce some relations and can provide them with a reliability value. However, if the relations are not explainable, they do not mean anything for use in practice.
The relations in these data were found by deploying pattern recognition methods. Two algorithms were utilized as a pattern recognition method: decision tree and linear regression. A decision tree algorithm splits the data into groups by applying thresholds on case characteristics. These thresholds can be made visual in a decision tree figure. Linear regression tries to obtain a target value by means of a linear relation of characteristics. Therefore, the linear regression algorithm determines the slope value of each characteristic.
Classification analyses were done with decision trees on six damage cause categories. The results of that type of analysis were capable of determining if or which damage was caused by a certain cause. Linear regression was performed in order to find regression relations where the technical attributability of a damage cause could be calculated for each case. In the more complex task of regression analysis, only three damage cause categories were suitable for finding a relation.
To determine whether damage was caused by earthquakes, earthquake load in terms of PGV is an important characteristic. Also, the age of a building and trees has a possible significant influence on the occurrence of earthquake damage, according to the found pattern. A relation between those last two characteristics and earthquake damage is not described in literature. Besides that, this decision tree pattern seems to be the most useful pattern for in practice.
Another interesting finding is that hindered deformation mostly occurred at the inside of a building. Combined with other characteristics, a pattern on this damage cause performed with the highest score in this thesis. It has an accuracy of 77%. This means that 77% of the cases in the test set were correctly predicted by the produced classification decision tree. However, the found relation with the characteristics is not always explainable or meaningful so as to be applied in practice. More conclusions of classification analysis are shown in Table 1.
<Table 1, See abstract in report>
The presented findings above are classification relations. Regression analyses were difficult to execute. A desired positive coefficient of determination (R2) could not be reached without subjective interference in the pattern recognition. The best regression result was obtained on damage caused by earthquakes. It had a R2 of 0.48. Which means that 48% of the data was describable in a linear relation. More conclusions of regression analysis are shown in Table 2.
<Table 2, See abstract in report>
It has been interesting to study the relation between characteristics and damage causes. However, the results are not of decisive importance. The building and context characteristics supported by literature were not always selected or applied properly by the pattern recognition. Also, the potential of damage characteristics was not recognized by the algorithms. Nonetheless, the results of earthquake related damage seem promising. They even indicate characteristics which may be worth investigating more closely.
From the Sea into the Sky
A Research into the Feaibility of Floating High-rise Structures
This research investigates whether it is possible to realise high-rise buildings on floating platforms with limited dimensions on the sea or ocean regarding stability. And if it is feasible, what the requirements are for the general dimensions of both the platform and the high-rise building. For this purpose, conditions were used from three representative locations. At these three locations, the floating high-rise is tested for four different wave situations: Tsunami, Growing waves, most extreme wave. And an Irregular wave field. The platform and building are tested whether the structure could meet the various requirements and regulations. These are divided into three forms of stability: Buoyancy, static stability and dynamic stability.
In this study, for both the platform and the building a square cross-section is used and both are prismatic in the direction of the height. The platform and the core of the building are made of concrete. Apart from the four parameters: height of the building and width, height and depth of the platform all other parameters are based on these four parameters. No stability systems in the building were used (except the core), nor methods to keep the platform in place, such as mooring systems.
For the buoyancy, mainly the relation between the mass and the depth of the platform is determined. This is a relationship that has been used extensively in static and dynamic stability. The mass of the building and platform pose few problems for staying afloat. In fact, extra ballast water can easily be used to make the platform heavier in order to achieve the desired mass or depth.
For the static stability a combination of hand calculations based on the GM-method and a model that can include deformations in the calculations as well is used. A linear relationship was found between the height of the building and the width of the platform for which the floating high-rise is stable.
The model is used to determine the minimum platform depth and height, as well as the rotation for different building heights and platform widths. It follows that there are platform widths for which the vertical force is minimal. This is when the width of the platform is equal to the wavelength of the wave or a multiple of it. In addition, there are platform widths for which the moment due to the wave force on the platform is minimal. These values are called "zero moment widths" because for these widths the wave moment, regardless of position or time, is approximately equal to 0 kNm. Therefore the rotation is minimal when these zero moment widths are used for the platform width. These widths are only optimal for the specific wavelength for which they are calculated. If the wavelength is different, the zero moment widths will be different.
For the dynamic stability, a model consisting of three point masses distributed over the height connected with a beam was used. The three point masses each have three degrees of freedom: vertical and horizontal translation and rotation. With this model the accelerations of the three possible motions for different heights of the building, platform widths and platform masses (this can be adjusted by including ballast water) are calculated. It follows that: The tsunami and the growing wave are not a problem and the most extreme wave or the irregular wave field is normative; The vertical acceleration is minimal when the width of the platform is equal to the wavelength or a multiple of it; The vertical acceleration is only normative for small building heights and platform widths, whereas it is the biggest cause of seasickness; The horizontal acceleration at the top of the building due to both the horizontal motion and the rotation is almost always normative. It is largely caused by the rotation of the platform; If the zero moment widths are used for the width of the platform, the rotation and thus the horizontal acceleration is minimal. This does not mean that the accelerations are below the limit.
In order to avoid resonance in the motion, and thus extreme accelerations, of the floating high-rise with an irregular wave field, graphs are made were the combination of the height of the building and the width of the platform that result in resonance are shaded.
Using the results of the static and dynamic analysis and a few case studies, it can be concluded that with the design choices and simplifications used, it is not possible to realise floating high-rise buildings on platforms with limited dimension at the North Sea and the North of the Atlantic ocean due to too extreme condition causing too high accelerations, especially in the horizontal motion. The static stability and the buoyancy are less of a problem. If one of these locations is chosen, platforms over 600 m wide are required that are so stable that the rotation of the platform is minimal and no resonance occurs in the rotation motion. In this case, the conditions are similar to those on land and the wind force becomes the governing factor. In those cases, the same approach and measures should be used as for high-rise buildings on land. Even with these sizes, it is advised to use the zero moment widths to limit the rotation as much as possible.
The location on the Atlantic Ocean around the equator is the only location that is promising. The results show that several building heights are possible on different platform dimensions for the highest wave, as long as the platforms have the zero moment widths dimensions. However, it appears that the accelerations become too high when these sizes for the building and platform are tested with different wave frequencies with lower wave heights. Therefore, this option might not be suitable either, but it is not excluded in this research. One option is found that meets the regulations for all possible wave frequencies is a 50 m building on a platform 223 m wide (a zero moment width) and 22.7 m deep for the location around the equator. This proves that it is possible to construct high-rise buildings on platforms of limited size with the design choices used, but that it is very difficult and the options are limited.
Despite the conclusion that it is almost impossible with the design choices, floating high-rise buildings on limited platforms are still expected to be possible as the design can be improved. The first next steps to investigate are other, better shapes for the platform and building to increase stability and reduce overall forces. In addition, it is recommended that other methods of increasing stability and reducing motion, such as building stabilisation systems and tuned mass dampers, are investigated. With these improvements floating high-rise is more feasible than found in this research.
...
This research investigates whether it is possible to realise high-rise buildings on floating platforms with limited dimensions on the sea or ocean regarding stability. And if it is feasible, what the requirements are for the general dimensions of both the platform and the high-rise building. For this purpose, conditions were used from three representative locations. At these three locations, the floating high-rise is tested for four different wave situations: Tsunami, Growing waves, most extreme wave. And an Irregular wave field. The platform and building are tested whether the structure could meet the various requirements and regulations. These are divided into three forms of stability: Buoyancy, static stability and dynamic stability.
In this study, for both the platform and the building a square cross-section is used and both are prismatic in the direction of the height. The platform and the core of the building are made of concrete. Apart from the four parameters: height of the building and width, height and depth of the platform all other parameters are based on these four parameters. No stability systems in the building were used (except the core), nor methods to keep the platform in place, such as mooring systems.
For the buoyancy, mainly the relation between the mass and the depth of the platform is determined. This is a relationship that has been used extensively in static and dynamic stability. The mass of the building and platform pose few problems for staying afloat. In fact, extra ballast water can easily be used to make the platform heavier in order to achieve the desired mass or depth.
For the static stability a combination of hand calculations based on the GM-method and a model that can include deformations in the calculations as well is used. A linear relationship was found between the height of the building and the width of the platform for which the floating high-rise is stable.
The model is used to determine the minimum platform depth and height, as well as the rotation for different building heights and platform widths. It follows that there are platform widths for which the vertical force is minimal. This is when the width of the platform is equal to the wavelength of the wave or a multiple of it. In addition, there are platform widths for which the moment due to the wave force on the platform is minimal. These values are called "zero moment widths" because for these widths the wave moment, regardless of position or time, is approximately equal to 0 kNm. Therefore the rotation is minimal when these zero moment widths are used for the platform width. These widths are only optimal for the specific wavelength for which they are calculated. If the wavelength is different, the zero moment widths will be different.
For the dynamic stability, a model consisting of three point masses distributed over the height connected with a beam was used. The three point masses each have three degrees of freedom: vertical and horizontal translation and rotation. With this model the accelerations of the three possible motions for different heights of the building, platform widths and platform masses (this can be adjusted by including ballast water) are calculated. It follows that: The tsunami and the growing wave are not a problem and the most extreme wave or the irregular wave field is normative; The vertical acceleration is minimal when the width of the platform is equal to the wavelength or a multiple of it; The vertical acceleration is only normative for small building heights and platform widths, whereas it is the biggest cause of seasickness; The horizontal acceleration at the top of the building due to both the horizontal motion and the rotation is almost always normative. It is largely caused by the rotation of the platform; If the zero moment widths are used for the width of the platform, the rotation and thus the horizontal acceleration is minimal. This does not mean that the accelerations are below the limit.
In order to avoid resonance in the motion, and thus extreme accelerations, of the floating high-rise with an irregular wave field, graphs are made were the combination of the height of the building and the width of the platform that result in resonance are shaded.
Using the results of the static and dynamic analysis and a few case studies, it can be concluded that with the design choices and simplifications used, it is not possible to realise floating high-rise buildings on platforms with limited dimension at the North Sea and the North of the Atlantic ocean due to too extreme condition causing too high accelerations, especially in the horizontal motion. The static stability and the buoyancy are less of a problem. If one of these locations is chosen, platforms over 600 m wide are required that are so stable that the rotation of the platform is minimal and no resonance occurs in the rotation motion. In this case, the conditions are similar to those on land and the wind force becomes the governing factor. In those cases, the same approach and measures should be used as for high-rise buildings on land. Even with these sizes, it is advised to use the zero moment widths to limit the rotation as much as possible.
The location on the Atlantic Ocean around the equator is the only location that is promising. The results show that several building heights are possible on different platform dimensions for the highest wave, as long as the platforms have the zero moment widths dimensions. However, it appears that the accelerations become too high when these sizes for the building and platform are tested with different wave frequencies with lower wave heights. Therefore, this option might not be suitable either, but it is not excluded in this research. One option is found that meets the regulations for all possible wave frequencies is a 50 m building on a platform 223 m wide (a zero moment width) and 22.7 m deep for the location around the equator. This proves that it is possible to construct high-rise buildings on platforms of limited size with the design choices used, but that it is very difficult and the options are limited.
Despite the conclusion that it is almost impossible with the design choices, floating high-rise buildings on limited platforms are still expected to be possible as the design can be improved. The first next steps to investigate are other, better shapes for the platform and building to increase stability and reduce overall forces. In addition, it is recommended that other methods of increasing stability and reducing motion, such as building stabilisation systems and tuned mass dampers, are investigated. With these improvements floating high-rise is more feasible than found in this research.
Multiaxial compressive stress states within a concrete onshore wind turbine foundation
A three dimensional non-linear finite element analysis of the concrete surrounding the anchor cage
The historic quay walls of Amsterdam
A study into the hidden structural capacity of masonry quay walls under the condition of a partly failing foundation
Rocking revisited 4
Analysis of rocking-induced stresses for concrete breakwater armour units
Experiments with a physical model were conducted herein to measure the quasi-steady load in the form of pressures acting on different elements of the residence. This enables the comparison of the quasi-steady flood load and the lateral load due to wind on different elements of a building. Similar to FEMA (2011), it was found that the pressure coefficient decreases when the width-to-water depth ratio decreases. However, higher coefficients are found from the experiments than those provided by FEMA, resulting in higher hydrodynamic loads. Furthermore, the orientation of the residence compared to the flow direction changes the angle of attack. When the flow is perpendicular to the wall, the pressure coefficient is the largest. Decreasing the angle of attack causes a decrease of the pressure due to equal flood conditions. The pressure coefficients obtained from the experiments are used to define the hydrodynamic load due to flooding. The resistance of the load-bearing cavity walls, windows and piers were compared to the acting moment due to different depth-flow velocity combinations. The resistance of out-of-plane bending of the load-bearing wall is the critical failure mechanism for typical Dutch residences. Residences with calcium-silicate masonry walls and system floors have a higher resistance than residences with clay masonry walls and timber floors. Cracks start to develop at a small lateral load resulting in zero tension strength after cracking and an eccentricity of the normal force. This makes the influence of the dead weight carried by the wall, in combination with the compression strength and the thickness, more important than the flexural bending strength.
All types of residences, using design values, already collapse before the hv-product (water depth times flow velocity) of 7 m2/s is reached according to Clausen (1989). A water depth of ±1.2 meters for the older residences (1965-1975) and ±1.8 meters for the newer residences (1975-1994), already cause the design moment resistance of the wall without taking the velocity or wave action into account. If the flood water has a flow velocity of 2 m/s or waves are generated by a wind speed of 29.5 m/s over a fetch of 100 m, the critical water depth reduces to respectively ±0.9 and 1.5 meters. ...
Experiments with a physical model were conducted herein to measure the quasi-steady load in the form of pressures acting on different elements of the residence. This enables the comparison of the quasi-steady flood load and the lateral load due to wind on different elements of a building. Similar to FEMA (2011), it was found that the pressure coefficient decreases when the width-to-water depth ratio decreases. However, higher coefficients are found from the experiments than those provided by FEMA, resulting in higher hydrodynamic loads. Furthermore, the orientation of the residence compared to the flow direction changes the angle of attack. When the flow is perpendicular to the wall, the pressure coefficient is the largest. Decreasing the angle of attack causes a decrease of the pressure due to equal flood conditions. The pressure coefficients obtained from the experiments are used to define the hydrodynamic load due to flooding. The resistance of the load-bearing cavity walls, windows and piers were compared to the acting moment due to different depth-flow velocity combinations. The resistance of out-of-plane bending of the load-bearing wall is the critical failure mechanism for typical Dutch residences. Residences with calcium-silicate masonry walls and system floors have a higher resistance than residences with clay masonry walls and timber floors. Cracks start to develop at a small lateral load resulting in zero tension strength after cracking and an eccentricity of the normal force. This makes the influence of the dead weight carried by the wall, in combination with the compression strength and the thickness, more important than the flexural bending strength.
All types of residences, using design values, already collapse before the hv-product (water depth times flow velocity) of 7 m2/s is reached according to Clausen (1989). A water depth of ±1.2 meters for the older residences (1965-1975) and ±1.8 meters for the newer residences (1975-1994), already cause the design moment resistance of the wall without taking the velocity or wave action into account. If the flood water has a flow velocity of 2 m/s or waves are generated by a wind speed of 29.5 m/s over a fetch of 100 m, the critical water depth reduces to respectively ±0.9 and 1.5 meters.
Many factors influence the probability of failure for masonry structures, like soil properties, masonry properties, initial damage, initial loads or the type and frequency of structural vibrations. Also, it is important to know what should be considered damage. All these factors are implemented in this procedure. The proposed procedure is set up using two different models: a structural model, where the loads and façade dimensions and properties are implemented, and a probabilistic model, where the structural results are implemented, as well as stochastic parameters for some properties. This model leads to a probability of failure.
For the structural model, the software package SCIA Engineer has been used in this project. The structural model ensures that after drafting the façade, implementing the masonry properties, and applying the initial loads and the vibration speed and frequency, the maximum tensile stress for this frequency can be calculated. The tensile stress is the property that will determine if the structure fails, since the tensile stress of masonry is generally low. This tensile stress should then be implemented in the probabilistic model, which also takes the dispersion of the tensile strength and Young’s Modulus into account. A Monte Carlo simulation is performed, which results in the probability of failure of the specific façade for a specific vibration speed and frequency.
This thesis’ main focus was the linear-elastic procedure, where no soil-structure interaction was involved. Since masonry does not behave linearly after the first cracks initiate, some assumptions have been made to enable the calculation to be executed in a linear-elastic way, e.g. that failure occurs if the tensile strength is exceeded over a length of 210 mm. Also, in reality, soil-structure interaction will occur and will produce different structural results and following this, different probabilities of failure. Therefore, this study is able to provide a satisfactory statement regarding the probability of failure for masonry structures, but is not able to substantiate this statement completely.
In this thesis, the proposed procedure has also been executed on three different masonry facades in the city of Delft. The procedure is described extensively using these facades to provide a clear example how the reader can implement this procedure in their own projects. Also, because of the execution of this procedure on these façades, comparisons could be made, so the difference in probabilities of failure between façades, but also between different kinds of soil and vibration frequencies could be investigated.
The results show that the proposed procedure gives an adequate approximation for the probability of failure for masonry structures loaded by construction induced vibrations. Also, the results have been compared to a nonlinear case. This comparison shows that the assumptions that had to be made to approach this problem in a linear-elastic way were sometimes too conservative, but some assumptions were also a little too bold. Also, it is demonstrated that soil-masonry stresses have quite some influence on the structural results and therefore on the probability of failure, but more research regarding this topic is necessary to form a substantiated statement regarding the stresses at the soil-masonry interface.
Summarized, for this thesis, an assessment has been computed to determine the probabilities of failure for masonry structures using linear-elastic calculations. By following this procedure, one will be able to gather a good approximation of the probability of failure. However more research has to be conducted to ensure the soundness of this procedure. ...
Many factors influence the probability of failure for masonry structures, like soil properties, masonry properties, initial damage, initial loads or the type and frequency of structural vibrations. Also, it is important to know what should be considered damage. All these factors are implemented in this procedure. The proposed procedure is set up using two different models: a structural model, where the loads and façade dimensions and properties are implemented, and a probabilistic model, where the structural results are implemented, as well as stochastic parameters for some properties. This model leads to a probability of failure.
For the structural model, the software package SCIA Engineer has been used in this project. The structural model ensures that after drafting the façade, implementing the masonry properties, and applying the initial loads and the vibration speed and frequency, the maximum tensile stress for this frequency can be calculated. The tensile stress is the property that will determine if the structure fails, since the tensile stress of masonry is generally low. This tensile stress should then be implemented in the probabilistic model, which also takes the dispersion of the tensile strength and Young’s Modulus into account. A Monte Carlo simulation is performed, which results in the probability of failure of the specific façade for a specific vibration speed and frequency.
This thesis’ main focus was the linear-elastic procedure, where no soil-structure interaction was involved. Since masonry does not behave linearly after the first cracks initiate, some assumptions have been made to enable the calculation to be executed in a linear-elastic way, e.g. that failure occurs if the tensile strength is exceeded over a length of 210 mm. Also, in reality, soil-structure interaction will occur and will produce different structural results and following this, different probabilities of failure. Therefore, this study is able to provide a satisfactory statement regarding the probability of failure for masonry structures, but is not able to substantiate this statement completely.
In this thesis, the proposed procedure has also been executed on three different masonry facades in the city of Delft. The procedure is described extensively using these facades to provide a clear example how the reader can implement this procedure in their own projects. Also, because of the execution of this procedure on these façades, comparisons could be made, so the difference in probabilities of failure between façades, but also between different kinds of soil and vibration frequencies could be investigated.
The results show that the proposed procedure gives an adequate approximation for the probability of failure for masonry structures loaded by construction induced vibrations. Also, the results have been compared to a nonlinear case. This comparison shows that the assumptions that had to be made to approach this problem in a linear-elastic way were sometimes too conservative, but some assumptions were also a little too bold. Also, it is demonstrated that soil-masonry stresses have quite some influence on the structural results and therefore on the probability of failure, but more research regarding this topic is necessary to form a substantiated statement regarding the stresses at the soil-masonry interface.
Summarized, for this thesis, an assessment has been computed to determine the probabilities of failure for masonry structures using linear-elastic calculations. By following this procedure, one will be able to gather a good approximation of the probability of failure. However more research has to be conducted to ensure the soundness of this procedure.