Column Positions Research Articles

Macro joint model for progressive collapse analysis of L-shaped CFST column frames

In this study, a macro joint model was developed to evaluate the progressive collapse resistance of L-shaped columns composed of concrete-filled steel tube (L-CFST) frames, accounting for joint performance. The methods used to calculate the spring stiffness in each part of the macro joint model were derived using the component method and the deformation coordination principle. Additionally, an L-CFST frame model consisting of fibre beam elements and macro joint models was created. For frame models with different parameters, the dynamic response under column removal was analysed; these parameters included the loading condition, connection type, the location of failed columns, the height and number of floors and the span–depth ratio of the steel beams. The macro joint model was found to have high accuracy in predicting progressive collapse resistance. The L-CFST column frames with novel side-plate reinforced connections fully exploited the catenary mechanism and Vierendeel action. All the variables affected the vertical displacement at the position of the failed columns, with the span–depth ratio having the most significant impact.

Reliability Analysis of the Simplified Punching Shear Resistance Model of Eurocode 2:2004 in Different Column Positions on Flat Slabs

The use of coefficients in structural design is a strategy aimed at providing adequate levels of safety for buildings, avoiding excessive conservatism. The effectiveness of these coefficients depends on mathematical models that approximately capture the real behavior of the structure, considering the random nature of resistance and load variables. In this context, the proper definition of coefficients is even more crucial in resistance models that do not have an analytical formulation, such as empirical models. An example of an ultimate limit state whose model is empirical is the punching shear phenomenon, which occurs in flat reinforced concrete slabs. Despite the notable accuracy among normative models to assist in the development of these phenomena, some are based on simplifications that can result in high levels of conservatism or even insecurity when compared to more refined models. In EUROCODE 2:2004, there is the possibility of omitting the analysis of moments in the slab-to-column connection in punching shear design, considering only the axial force. For this purpose, a coefficient is applied to the applied stress to compensate for this simplification, depending on the position of the column in plan: corner, center, or edge. Therefore, this research aims to evaluate the reliability, through the First Order Reliability Method, of slab-to-column connections subjected to punching shear, using the EUROCODE 2:2004 simplification for design and employing an error model in the reliability analysis based on stress estimates derived from Fourier series. The research aims to assess whether the reliability indices of these connections demonstrate adequate levels of safety, using as reference the target reliability indices of other recognized standards, such as ACI 318 (2019) and CEB-FIP/MC (2010).

Impact of Eccentric Loading on the Structural Performance of Reinforced Concrete Pad Footings: An Experimental Study

Setting out of building footings are usually carried out using profile board. This method is usually not accurate in locating the position of columns. Hence, columns that are designed as a concentric columns to their respective footings ends up being columns having eccentricities to the pad footings that supports them. Since the stress distribution under pad footing with concentric column is different from that of pad footing with eccentric column, there is need to study the effect of these eccentricity on the load carrying capacity of the pad footing. In carrying out this work, four pad footings and a typical foundation were used. The pad footings were of sizes 230 mm x 230 mm x 150 mm, with columns of 150 mm x 150 mm cross-section. The first pad footing P1SH was pad footing with short column and zero eccentricity, the second pad footing P2SL was pad footing with slender column and zero eccentricity, the third pad footing P3SL was footing with slender column with 40 mm eccentricity, while the forth pad footing P4SL was footing with slender column with 80 mm eccentricity. The foundation comprises of sand which was contained in a sandbox. The sandbox was made of steel plate of dimensions 0.3 m × 0.3 m × 0.2 m of 4 mm thickness, was used to provide support for the foundation. The foundation was produced by compacting loose sand in three layers with 20 blows per layer in the steel box and with density of about 735 kg/m3. The pad footings were placed on top of the foundation contained in the sandbox, and together were placed on the loading plate of Universal Testing Machine (UTM). Compressive load was applied on each of the pad footings through the columns till failure occurred, using UTM. It was found out that pad footing P1SH have the highest load capacity of 261.25 kN, P2SL pad footing with load capacity of 124.24 kN, P3SL pad footing with load capacity of 39.34 kN, while P4SL pad footing with load capacity of 23.30 kN.

Fire Resistance Performance of Constrained H-Shaped Steel Columns with Uneven Vertical Temperature Distributions

Steel columns, which are widely used in building frameworks and spatial structures, are susceptible to capacity degradation during fires, potentially leading to the overall collapse of buildings. Existing research on the fire resistance of steel columns assumes that the temperature loads encountered by steel columns are evenly distributed vertically. However, real-world fire scenarios often feature significant vertical temperature differences. Therefore, this study comprehensively investigated these variations to derive a temperature curve that accurately represents real fire conditions. Subsequently, the fire resistance limits of steel columns were studied using this temperature curve, leading to a revised calculation formula for the critical fire resistance temperatures of steel columns. The following conclusions were drawn: (1) Nonuniform longitudinal temperature distributions are influenced by parameters such as the fire source distance, the heights of ventilation openings, and the distance between a vent and the temperature measurement point. Among them, the fire source distance has the greatest impact, with the maximum longitudinal temperature difference reaching over 500 °C. (2) Variations in the load ratio and longitudinal temperature differences alter the failure positions of steel columns, reducing their critical temperatures by up to 200 °C. (3) The revised critical fire resistance temperature formula is more accurate and safer compared with that outlined in the “Technical Code for Fire Protection of Steel Structures” (GB51249-2017). These findings offer valuable insights for the fire designs of steel columns.

Relationships between environmental variables and fish functional groups in impounded reaches of the Upper Mississippi and Yangtze Rivers

Large rivers throughout the world have been transformed by anthropogenic stressors that are known to influence the structure and composition of fish assemblages. Management of large rivers requires balancing socio-economic and political considerations with biodiversity conservation efforts. By exchanging best management practices between rivers, management efforts can be improved. However, data limitations have largely prevented comparative analyses among fish assemblages in large rivers, potentially limiting the effectiveness of shared management strategies. To improve understanding of the similarities and differences between the Upper Mississippi and Yangtze Rivers, we (1) compared environmental variables and functional traits of fish assemblages between the two systems, (2) identified traits responsible for distinguishing functional groups from one another, and (3) investigated relationships between similar functional groups of fishes and environmental variables to establish expectations for how fish assemblages in large rivers might respond to anthropogenic stressors. Regional species pools in the Upper Mississippi and Upper Yangtze Rivers were characterized by a similar composition of functional traits; the majority of species were omnivorous, had affinities for gravel or sand substrates, and produced sinking eggs. Few species were pelagic, planktivorous, or herbivorous. Functional groups in both rivers were primarily distinguished according to species' trophic habits and substrate preferences, with secondary contributions from species’ water column positions and life history characteristics. Pelagic planktivores and small-bodied guarders with an affinity for structural habitat complexity tended to increase downriver in both systems, in direct association with total phosphorus concentrations, agricultural land use, and temperature. In contrast, proportions of lithophilic species with affinities for gravel or cobble substrates were highest in segments located furthest upriver. By highlighting the sensitivity of different groups of fishes to anthropogenic stressors, we provide insights into the functional ecology of fishes inhabiting the Mississippi and Yangtze Rivers.

Bayesian inference of atomic column positions in scanning transmission electron microscopy images.

Atomic-resolution scanning transmission electron microscopy combined with two-dimensional Gaussian fitting enables the accurate and precise identification of atomic column positions within a few picometers. The measurement performance significantly depends on the signal-to-noise ratio of the atomic columns. In areas with low signal-to-noise ratios, such as near surfaces, the measurement performance was lower than that of the bulk. However, previous studies evaluated the accuracy and precision only in bulk areas, underscoring the need for a method that quantitatively evaluates the accuracy and precision of each atomic column position with various signal-to-noise ratios. This study introduced Bayesian inference to assess the accuracy and precision of determining individual atomic column positions under various signals. We applied this method to simulated and experimental images and demonstrated its effectiveness in identifying statistically significant displacements, particularly near surfaces with signal degradation. The use of vector maps and kernel density estimate plots obtained from Bayesian inference provided a probabilistic understanding of the atom displacement. Therefore, this study highlighted the potential benefits of Bayesian inference in high-resolution imaging to reveal material properties.

Quantifying the thickness of WTe2 using atomic-resolution STEM simulations and supervised machine learning.

For two-dimensional (2D) materials, the exact thickness of the material often dictates its physical and chemical properties. The 2D quantum material WTe2 possesses properties that vary significantly from a single layer to multiple layers, yet it has a complicated crystal structure that makes it difficult to differentiate thicknesses in atomic-resolution images. Furthermore, its air sensitivity and susceptibility to electron beam-induced damage heighten the need for direct ways to determine the thickness and atomic structure without acquiring multiple measurements or transferring samples in ambient atmosphere. Here, we demonstrate a new method to identify the thickness up to ten van der Waals layers in Td-WTe2 using atomic-resolution high-angle annular dark-field scanning transmission electron microscopy image simulation. Our approach is based on analyzing the intensity line profiles of overlapping atomic columns and building a standard neural network model from the line profile features. We observe that it is possible to clearly distinguish between even and odd thicknesses (up to seven layers), without using machine learning, by comparing the deconvoluted peak intensity ratios or the area ratios. The standard neural network model trained on the line profile features allows thicknesses to be distinguished up to ten layers and exhibits an accuracy of up to 94% in the presence of Gaussian and Poisson noise. This method efficiently quantifies thicknesses in Td-WTe2, can be extended to related 2D materials, and provides a pathway to characterize precise atomic structures, including local thickness variations and atomic defects, for few-layer 2D materials with overlapping atomic column positions.

Quantitative Scanning Transmission Electron Microscopy–High‐Angle‐Annular Dark‐Field Study of the Structure of Pseudo‐2D Sb2Te3 Films Grown by (Quasi) Van der Waals Epitaxy

Scanning transmission electron microscopy (STEM) techniques are used to improve the understanding of out‐of‐plane oriented Sb2Te3 thin films deposited by sputtering on SiO2 and Si substrates. Nanobeam precession electron diffraction, energy‐dispersive X‐ray spectroscopy, and high‐angle‐annular dark‐field imaging show that the presence of 1–2 atomic planes of Te on top of the substrate is a crucial factor for successful growth of such films, which can be achieved by optimizing cosputtering of Te and Sb2Te3 targets. The formation of an actual van der Waals (vdW) gap between the substrate and the first Sb2Te3 quintuple layer allows for vdW epitaxy. This gap is larger than those separating Te planes in the pseudo‐2D Sb2Te3 structure. HAADF image analysis provides detailed information on the atomic arrangement such as interplanar distances, vdW gaps, and Debye–Waller coefficients, all these with a few pm precision. For the anisotropic atomic displacements, a new methodology is introduced based on the statistical analysis of atomic column positions that provides information on the low‐frequency phonon modes. Ab initio calculations are used to support our results. Overall, this study provides quantitative STEM tools particularly well suited for nonperiodic pseudo‐2D materials, such as Sb2Te3/GeTe superlattices.

Ultrahigh Degree of Cationic Disorder, Configurational Entropy in New Type of High-Entropy Pseudobrookite Phase.

High-entropy ceramics exhibit various excellent properties owing to their high configurational entropy, which is caused by multi-principal elements sharing one lattice site. The configurational entropy will further increase significantly if multi-principal elements randomly share two different lattice sites. For this purpose, pseudobrookite phase containing two cationic lattice sites (A and B sites) is selected, and corresponding high-entropy pseudobrookite (M2+ 0.4M3+ 1.2)Ti1.4O5 is synthesized. Herein, the distribution of the 2-valent and 3-valent cations in the A and B sites are analysed in depth. The distance between the A and B sites in the crystal structure models which are constructed by the Rietveld analysis is calculated and defined as distance d. Meanwhile, the atomic column positions in the STEM images are quantified by a model-based mathematical algorithm, and the corresponding distance d are calculated. By comparing the distance d, it is determine that the 2-valent and 3-valent cations are jointly and disorderly distributed in the A and B sites in high-entropy (M2+ 0.4M3+ 1.2)Ti1.4O5. The density functional theory (DFT) simulations also demonstrate that this type of crystal structure is more thermodynamically stable. The higher degree of cationic disorder leads to a higher configurational entropy in high-entropy (M2+ 0.4M3+ 1.2)Ti1.4O5, and endows high-entropy (M2+ 0.4M3+ 1.2)Ti1.4O5 with very low thermal conductivity (1.187-1.249Wm-1K-1).

Modified Odd–Even–Prime pattern for effective dispersion of shade over the PV array under partial shading conditions

Photovoltaic (PV) arrays are extensively used for power generation being the most abundant renewable energy sources available. Partial shading of the PV array leads to mismatch between the modules and decrease in output power. A new Modified Odd–Even–Prime (MOEP) method of module arrangement for total cross tied (TCT) connection is presented in this paper to mitigate the effects of partial shading. The proposed MOEP method is a physical relocation method where the modules of PV array are relocated without altering the electrical connections. MOEP method of module rearrangement is based on row positions of the PV array. In this method, the row positions of PV modules in the first column are filled with odd, even and prime numbers in ascending order. The row positions of further columns are formed based on MOEP method. The proposed MOEP method is implemented on 9 × 9 and 8 × 8 PV arrays under various shading patterns. Further, the results are compared with TCT, Odd Even (OE) and Odd–Even–Prime (OEP) patterns. MATLAB/Simulink is used to validate the results. An experimental setup of 9 × 9 and 8 × 8 PV array is developed and tested in real time environment to validate the effectiveness of MOEP method over TCT, OE and OEP methods. The performance of proposed MOEP method is evaluated in terms of GMPP, mismatch power loss (MPL), Fill Factor (FF), Efficiency (η) and Shade Dispersion Ratio (SDR). A detailed study on energy savings from the proposed MOEP method is made on hourly, daily and yearly basis. From the experimental results obtained, it is observed that MOEP method generates a significant improvement in GMPP, efficiency and reduces the mismatch loss compared to TCT, OE and OEP methods.

Influence of Light Atoms on Quantification of Atomic Column Positions in Distorted Perovskites with HAADF-STEM.

Measurement of picometer-scale atomic displacements by aberration-corrected STEM has become invaluable in the study of crystalline materials, where it can elucidate ordering mechanisms and local heterogeneities. HAADF-STEM imaging, often used for such measurements due to its atomic number contrast, is generally considered insensitive to light atoms such as oxygen. Light atoms, however, still affect the propagation of the electron beam in the sample and, therefore, the collected signal. Here, we demonstrate experimentally and through simulations that cation sites in distorted perovskites can appear to be displaced by several picometers from their true positions in shared cation-anion columns. The effect can be decreased through careful choice of sample thickness and beam voltage or can be entirely avoided if the experiment allows reorientation of the crystal along a more favorable zone axis. Therefore, it is crucial to consider the possible effects of light atoms and crystal symmetry and orientation when measuring atomic positions.

Analysis & Design of G+5 Residential Building Using STAAD-PRO

Abstract: Structural planning and design is an art and science of designing with economy elegance and durable structure. The entire process of structural planning and designing is not only requires imagination and conceptual thinking but also sound knowledge of structural engineering besides knowledge of practical aspects such as relevant design codes and by-loss backed up by example experiences. The purpose of standards is to ensure and enhance the safety, keeping careful balance between economy and safety. In the present study G+5 building of 9.0mX15.2m.Area 136.8sqmeter at Badarpur New Delhi , is designed (Slabs, Beams, Columns and Footings) using STADD PRO software. In order to design them, it is important to first obtain the plan of the particular building that is, positioning of the particular rooms (Drawing room, bed room, kitchen toilet etc.) such that they serve their respective purpose and also suiting to the requirement and comfort of the inhabitants. Thereby depending on the suitability; plan layout of beams and the position of columns are fixed.

Resonance and Bragg band frequencies coupling of lossy sonic crystals based on nonuniform resonators and lattice

Traditional sonic crystals (SCs) are based on scatterers or resonators distributed periodically that attenuate sound waves in different bands of frequencies. Recently, we adopted an improved design of SC, namely, the gradient-based sonic crystal (GBSC), designed with a gradient in the geometric parameters using nonuniform resonators and lattices. The finite element (FE) study on the GBSCs indicated that the gradient induces better attenuation than the traditional periodic SCs. This work is an extension of our previous work with experimental and new FE studies on different parameters of the GBSC in an attempt to improve the attenuation of the GBSCs. It was found that the gradient of the geometry enhances the Bragg scattering and resonance in the array, creating a large number of band frequencies. When designed properly by manipulating their gradient, GBSCs were found to target particular frequency bands over other GBSCs of identical filling ratios by coupling the resonant frequencies or the resonant and Bragg frequencies. It was also found that the thickness of the GBSC can be reduced by removing some specific columns from the array without significantly affecting the attenuation by the GBSC. Similarly, it was also found that the relative position of the resonator columns in a GBSC affects the band frequencies, and swapping the columns may also improve the attenuation by the GBSC.

ANALYSIS OF EXISTING METHODS FOR CALCULATING THE POSITION OF BOUNDARY COLUMNS

The purpose of the research is to improve the methods of calculating the position of limit posts on the railways of Ukraine. To achieve the established goal, a comprehensive analysis of the existing methods of determining the position of boundary posts was performed, taking into account the multivariate design features of the railway track connection and compliance with traffic safety requirements. Methodology. In the process of research, methods of analysis and synthesis were used to study the content and basic provisions of existing methods for determining the position of limit posts on railways; methods of analytical geometry to describe the position of the limit column relative to adjacent tracks, taking into account the geometric parameters of the rolling stock. The results. As a result of the conducted research, the following conclusions were obtained. The basis of the current methods of determining the position of the limit posts are the requirements for the parameters of the calculation car, which is not operated on the railways of Ukraine, however, the recalculation of the position of the boundary columns on the existing tracks of the main and industrial railway transport using the characteristics of the car that will replace the existing calculation car is currently impractical and irrelevant Taking into account the multivariate constructions of the connection of railway tracks, there is no universal analytical solution for determining the position of the limit column. New approaches to determining the distribution of the overall distance when calculating the position of the limit posts in the conditions of automated design have inaccuracies, and also do not take into account the variety of structural features of the connection of railway tracks. The results of the performed analysis are the basis for continuing research on improving the methods of calculating the position of limit posts on the railways of Ukraine. Scientific novelty. The obtained results make it possible to summarize the scientific basis for the imperfection of the existing methods of calculating the position of the limit posts on the railways of Ukraine. Practical significance. From a practical point of view, the results of the analysis create conditions for further research on the improvement of the above methods. The result of the research should be the development of a universal method of theoretically accurate calculation of the position of the limit post or other objects on railway tracks for any design of track development. The use of this method in design practice is possible by developing a software product for determining the position of the boundary column, including on tracks with a width of 1435 mm, for cases where tracks with a width of 1435 and 1520 mm are combined on the same ground surface and under the condition of using calculated wagons with any parameters.

Correlation Research between Asymmetry Coefficient of Gondola Car Body and Stress Distribution of Cross Bearer Weld

In order to find out the root cause of cross bearer welds’ cracks in general-purpose gondola cars, the relationship between asymmetric structure and stress distribution is studied in this paper. Firstly, the concept of asymmetry coefficient and stress distribution cluster is proposed, and the asymmetric coefficients’ calculation methods of independent and dependent variables are given, respectively, in two-dimensional space. Secondly, according to the different positions of side column 1 and side column 2, 30 local models are established, the cross bearer weld stresses are extracted after finite element simulation, and the stress distribution clusters of cross bearer weld stresses are formed. Finally, the asymmetry coefficients of the side columns are calculated, and the correlation between the positions of the side columns and the weld stresses is studied using the methods of Pearson correlation coefficient and complex correlation coefficient. The results show that the correlation between the stress of cross bearer weld 2 and the positions of the side columns is much higher than that between the stress of cross bearer weld 1 and the positions of the side columns. Meanwhile, it shows that the method presented in this paper is feasible and effective for the analysis and research of asymmetric structures. These combined with the calculation method of the correlation coefficient.

Exploring Blob Detection to Determine Atomic Column Positions and Intensities in Time-Resolved TEM Images with Ultra-Low Signal-to-Noise.

Spatially resolved in situ transmission electron microscopy (TEM), equipped with direct electron detection systems, is a suitable technique to record information about the atom-scale dynamics with millisecond temporal resolution from materials. However, characterizing dynamics or fluxional behavior requires processing short time exposure images which usually have severely degraded signal-to-noise ratios. The poor signal-to-noise associated with high temporal resolution makes it challenging to determine the position and intensity of atomic columns in materials undergoing structural dynamics. To address this challenge, we propose a noise-robust, processing approach based on blob detection, which has been previously established for identifying objects in images in the community of computer vision. In particular, a blob detection algorithm has been tailored to deal with noisy TEM image series from nanoparticle systems. In the presence of high noise content, our blob detection approach is demonstrated to outperform the results of other algorithms, enabling the determination of atomic column position and its intensity with a higher degree of precision.

Real-Time Integration Center of Mass (riCOM) Reconstruction for 4D STEM.

A real-time image reconstruction method for scanning transmission electron microscopy (STEM) is proposed. With an algorithm requiring only the center of mass of the diffraction pattern at one probe position at a time, it is able to update the resulting image each time a new probe position is visited without storing any intermediate diffraction patterns. The results show clear features at high spatial frequency, such as atomic column positions. It is also demonstrated that some common post-processing methods, such as band-pass filtering, can be directly integrated in the real-time processing flow. Compared with other reconstruction methods, the proposed method produces high-quality reconstructions with good noise robustness at extremely low memory and computational requirements. An efficient, interactive open source implementation of the concept is further presented, which is compatible with frame-based, as well as event-based camera/file types. This method provides the attractive feature of immediate feedback that microscope operators have become used to, for example, conventional high-angle annular dark field STEM imaging, allowing for rapid decision-making and fine-tuning to obtain the best possible images for beam-sensitive samples at the lowest possible dose.

Implications for functional diversity conservation of China’s marine fisheries

Functional diversity is critical to ecosystem stability and resilience to disturbances as it supports the delivery of ecosystem services on which human societies rely. However, changes in functional diversity over space and time, as well as the importance of particular marine fish species to functional space are less known. Here, we reported a temporal change in the functional diversity of marine capture fisheries from all coastal provinces in China from 1989 to 2018. We suggested that both functional evenness (FEve) and functional divergence (FDiv) changed substantially over time, especially with considerable geographic variation in FEve in the detected patterns. Even within the same sea, the relative contributions of fishes with various water column positions and trophic levels in different waters have different patterns. Together these results underline the need of implementing specific climate-adaptive functional diversity conservation measures and sustainable fisheries management in different waters.

Structure analysis of beta dicalcium silicate via scanning transmission electron microscope (STEM)

• STEM was used to identify the atomic structure of β-C 2 S. • TEM results confirmed the (0 0 1) twin crystal planes in β-C 2 S lattice. • Doping 1 wt% Ca 3 (PO 4 ) 2 stabled the β-C 2 S in room temperature. • The intrinsic difference of β-C 2 S inherent reactivity was reveled. Beta-dicalcium silicate (β-C 2 S), one of the main phases in Portland cement clinker, offers some promising overviews regarding CO 2 and energy savings potential compared to alite. Understanding the crystalline structure and reactive sites on β-C 2 S surface is critical to enable further optimization of its use. There is a lack of such studies available in the literature. Particularly, regarding the atomic structure and reactive oxygen species of β-C 2 S are still blank. Herein, crystal information analysis, including atomic structure and active oxygen atoms of lab-scale synthesized β-C 2 S was achieved by spherical aberration-corrected scanning transmission electron microscope (STEM). Detailed compositions and accurate element distributions of atomic layers were thus presented. Results show that a number of (0 0 1) twin crystal planes are present in the β-C 2 S structure. The exact positions of Ca and Si columns in β-C 2 S crystal lattice were obtained from STEM images, which is consistent with the visualization results. The hydration heat evolution of β-C 2 S within 30 d was investigated by isothermal calorimetry, showing that β-C 2 S was almost unhydrated for 28 d, only with a weakly exothermic activity in the early stage (1–2 h). Finally, visualization, simulation and experiment results of atomic structure analysis, as well as the hydration behavior of β-C 2 S, have a significant contribution to the crystal structure foundation data base, which is beneficial to understanding the intrinsic relationship between β-C 2 S hydration and its atomic structure.

Effectiveness of Osteopathic Treatment on the Spinal Column as Measured by the Spinal Mouse®: A Case Series.

IntroductionThis case series aims to compare changes in spinal column mobility using the Spinal Mouse® (Idiag, Volketswil, Switzerland), a device providing a spatial survey of a single vertebra's position. The measurements have been made before and after an osteopathic treatment with different spinal column positions on healthy subjects. We presumed that osteopathic treatment is able to improve spinal column mobility.MethodsThe measurement was carried out with the naked spinal column in the following positions: standing, static bending, dynamic bending, and conducting the static Matthiass test, which consists of maintaining the standing position with outstretched arms, with a 1 kg weight. We evaluated the vertebral tilt degrees and changes in height (expressed in mm) in the mentioned positions before and after the osteopathic treatment.ResultsWe observed improvements in spinal column tilt (expressed in degrees) and in vertebral metameres length (expressed in mm) in a standing position (T<0.04 and T<0.04). We also noted a global increase in tilt (expressed in degrees) during the static bending position (T<0.05) and in the thoracic tract during the Matthiass test (T<0.02).ConclusionsThe present study highlighted that osteopathic treatment was able to increase vertebral mobility, concerning tilt (expressed in degrees) and length (expressed in mm), evaluated in different positions.