scholarly journals ON THE MODULUS OF SUBGRADE REACTION FOR SHALLOW FOUNDATIONS ON HOMOGENOUS OR STRATIFIED MEDIUMS

Author(s):  
Lysandros Pantelidis

As known, the modulus of subgrade reaction of soil, ks, is an essential parameter in designing flexible, shallow foundations based on the Winkler spring hypothesis, where, the foundation soil is modeled as a series of independent (elastic) springs having constant ks. In this paper the various methods for calculating the ks value are discussed, indicating that the more suitable one is Vesic’s ks=0.65[EB4/(EbIb)]1/12E/[B(1–v2)], where, E and v are the elastic constants of soil and Eb, Ib and B are the modulus of elasticity of the foundation material, the moment of inertial of the cross-section of the foundation and the foundation width respectively. In addition, it is recommended that, the proper soil modulus value is the one corresponding to v=0 for consistency with the deformation pattern of Winkler’s springs (compression with no lateral deformation). In this respect, the author offers an effective method for calculating the equivalent elastic constants (Eeq, veq) for horizontally stratified soil mediums supporting shallow foundations. The same method can also be applied to reducing any homogenous (E, v) soil medium to an equivalent one having veq=0 and modulus Eeq.

2021 ◽  
Author(s):  
Lysandros Pantelidis

Abstract As known, in a Winkler type of analysis the soil medium underneath the foundation is violently replaced by a row of parallel springs having constant ks. For the effective calculation of the latter, which is called the modulus of subgrade reaction, the two elastic constants of the soil (the elastic modulus, E and the Poisson’s ratio, ν) must be known. Although for homogenous soils this generally seems not to be a problem, the same does not stand for stratified mediums or mediums with linearly increasing modulus with depth. In such an analysis, the proper pair of elastic constant values of soil should be selected. This refers to a Poisson’s ratio value equal to zero corresponding to the deformation pattern of springs (compression with no lateral expansion) and the respective modulus. In the present paper a method for calculating the equivalent elastic constants for the above mentioned mediums is proposed based on the theory of elasticity combining the principle of superposition. Various cases are considered, since the equivalent modulus, Eeq, depends on the rigidity and the shape of the footing. As shown, the derived Eeq values not only return reliable settlement results, but also settlement profiles that are similar to those corresponding to the original soil mediums.


2010 ◽  
Vol 26 (1) ◽  
pp. 111-129 ◽  
Author(s):  
Sivapalan Gajan ◽  
Prishati Raychowdhury ◽  
Tara C. Hutchinson ◽  
Bruce L. Kutter ◽  
Jonathan P. Stewart

Practical guidelines for characterization of soil-structure interaction (SSI) effects for shallow foundations are typically based on representing foundation-soil interaction in terms of viscoelastic impedance functions that describe stiffness and damping characteristics. Relatively advanced tools can describe nonlinear soil-foundation behavior, including temporary gap formation, foundation settlement and sliding, and hysteretic energy dissipation. We review two tools that describe such effects for shallow foundations and that are implemented in the computational platform OpenSees: a beam-on-nonlinear-Winkler foundation (BNWF) model and a contact interface model (CIM). We review input parameters and recommend parameter selection protocols. Model performance with the recommended protocols is evaluated through model-to-model comparisons for a hypothetical shear wall building resting on clay and model-data comparisons for several centrifuge test specimens on sand. The models describe generally consistent moment-rotation behavior, although shear-sliding and settlement behaviors deviate depending on the degree of foundation uplift. Pronounced uplift couples the moment and shear responses, often resulting in significant shear sliding and settlements. Such effects can be mitigated through the lateral connection of foundation elements with tie beams.


2020 ◽  
Vol 2020 (10-2) ◽  
pp. 86-98
Author(s):  
Ivan Popov

The paper deals with the organization and decisions of the conference of the Minister-Presidents of German lands in Munich on June 6-7, 1947, which became the one and only meeting of the heads of the state governments of the western and eastern occupation zones before the division of Germany. The conference was the first experience of national positioning of the regional elite and clearly demonstrated that by the middle of 1947, not only between the allies, but also among German politicians, the incompatibility of perspectives of further constitutional development was existent and all the basic conditions for the division of Germany became ripe. Munich was the last significant demonstration of this disunity and the moment of the final turn towards the three-zone orientation of the West German elite.


1998 ◽  
Vol 11 (1) ◽  
pp. 565-565
Author(s):  
G. Cayrel de Strobel ◽  
R. Cayrel ◽  
Y. Lebreton

After having studied in great detail the observational HR diagram (log Teff, Mbol) composed by 40 main sequence stars of the Hyades (Perryman et al.,1997, A&A., in press), we have tried to apply the same method to the observational main sequences of the three next nearest open clusters: Coma Berenices, the Pleiades, and Praesepe. This method consists in comparing the observational main sequence of the clusters with a grid of theoretical ZAMSs. The stars composing the observational main sequences had to have reliable absolute bolometric magnitudes, coming all from individual Hipparcos parallaxes, precise bolometric corrections, effective temperatures and metal abundances from high resolution detailed spectroscopic analyses. If we assume, following the work by Fernandez et al. (1996, A&A,311,127), that the mixing-lenth parameter is solar, the position of a theoretical ZAMS, in the (log Teff, Mbol) plane, computed with given input physics, only depends on two free parameters: the He content Y by mass, and the metallicity Z by mass. If effective temperature and metallicity of the constituting stars of the 4 clusters are previously known by means of detailed analyses, one can deduce their helium abundances by means of an appropriate grid of theoretical ZAMS’s. The comparison between the empirical (log Teff, Mbol) main sequence of the Hyades and the computed ZAMS corresponding to the observed metallicity Z of the Hyades (Z= 0.0240 ± 0.0085) gives a He abundance for the Hyades, Y= 0.26 ± 0.02. Our interpretation, concerning the observational position of the main sequence of the three nearest clusters after the Hyades, is still under way and appears to be greatly more difficult than for the Hyades. For the moment we can say that: ‒ The 15 dwarfs analysed in detailed in Coma have a solar metallicity: [Fe/H] = -0.05 ± 0.06. However, their observational main sequence fit better with the Hyades ZAMS. ‒ The mean metallicity of 13 Pleiades dwarfs analysed in detail is solar. A metal deficient and He normal ZAMS would fit better. But, a warning for absorption in the Pleiades has to be recalled. ‒ The upper main sequence of Praesepe, (the more distant cluster: 180 pc) composed by 11 stars, analysed in detail, is the one which has the best fit with the Hyades ZAMS. The deduced ‘turnoff age’ of the cluster is slightly higher than that of the Hyades: 0.8 Gyr instead of 0.63 Gyr.


1990 ◽  
Vol 203 ◽  
Author(s):  
Richard J. Farris ◽  
M. A. Maden ◽  
K. Tong

ABSTRACTThe state of stress for a uniform coating away from the edges reduces to that of plane stress, two in-plane normal stresses, and an in-plane shear stress. For this state, the interface between the coating and the substrate is totally stress free. Since the substrate and the coating are not interacting mechanically, an internal section of the substrate can be removed creating a tensioned drum-like membrane without altering the stress state. Holographic interferometry of vibrationally excited membranes is used to evaluate the stress. Using this technique, up to thirty vibrational modes can be obtained. This high degree of redundancy enables one to determine the one shear and two normal stresses that act in the plane of the coating. The only physical property requires is the coating density. The density is obtained from commonly reported literature values. Simple variations on the membrane vibration scheme, e.g., cutting the membrane to create a uniaxially tensioned ribbon, enables one to determine the in-plane Poisson's ratio and shearmodulus.In separate but related experiments on commercially made free-standing films with residual orientation, the above techniques, combined with special free and axially constrainedcompressibility experiments should enable all of the Poisson's ratios and elasticmoduli for an orthotropic material (nine elastic constants) to be determined. Methods for measuring the state of stress and the elastic constants are required to predict the state of stress in complex coating geometries.


2009 ◽  
pp. 163-172
Author(s):  
Angelo Abignente

- The positive law tradition has hitherto had nothing to say about the legal profession's role and function, focusing more interest on questions of justice, of the legitimisation of power and of the genesis and organisation of normative material. This trend is now subject to a reversal promoted by new, neo-constitutionalist, narrativist, analytical and hermeneutic experiences, which no longer focuses attention on the moment when law is produced, but on the one when it is applied, reappraising and revitalising the function of the judge, of the attorneys and of other legal professionals. The attorney becomes an active protagonist, an intermediary not only between conflicting interests in a controversy, but also between opposing public interests, while the reappraisal of his role stimulates thinking about the ethical dimension of how the legal profession is practised. Referring to the theories of Habermas and of Alexy, the author treats the reasonable status of argumentation as the supreme ethical instance necessary for a decision that interferes in the sphere of another person's action. At the same time, however, the control of the reasonable status of the respective arguments on both sides is the ethical instance required of the attorneys taking part in the legal proceedings. It takes the form of compliance with the rules characteristic of the practical discourse, primarily the rule of free discursive participation that enables the onus of the argumentation to be explained. Ernesto de


2021 ◽  
pp. 0044118X2110359
Author(s):  
Joanna Almeida ◽  
Catherine Barber ◽  
Rochelle K. Rosen ◽  
Alexandra Nicolopoulos ◽  
Kimberly H. McManama O’Brien

Research on planning, method choice, and method substitution in adolescents’ suicide attempts is limited. We conducted in-depth interviews with 20 adolescents following their suicide attempt to learn the extent to which the attempt was planned, why they used the method they did, and whether they would have substituted another method if the one they used had been unavailable. Applied Thematic Analysis was used to identify codes and develop themes. Attempts were largely unplanned, and planned attempts were often haphazard, as urgency to escape immediate pain was a main impetus for the attempt. Method choice was driven by easy access. Half of participants said they would not have attempted suicide if the method they used were inaccessible, but 7 of 20 said they would have, and 3 were unsure. Not all suicide attempts would be prevented by blocking access to methods that adolescent attempters would otherwise use. To understand whether restricting access to low-lethality methods could harm some attempters, future research should examine in-the-moment method substitution.


2019 ◽  
Author(s):  
Hanna Gekle

The history of mental development on the one and the history of his writings on the other hand form the two separate but essentially intertwined strands of an archeology of Ernst Bloch´s thought undertaken in this book. Bloch as a philosopher is peculiar in that his initial access to thought rose from the depths of early, painful experience. To give expression to this experience, he not only needed to develop new categories, but first and foremost had to find words for it: the experience of the uncanny and the abysmal, of which he tells in Spuren, is on the level of philosophical theory juxtaposed by the “Dunkel des gerade gelebten Augenblicks” (darkness of the moment just lived) and his discovery of a “Noch-nicht-Bewusstes” (not-yet-conscious), thus metaphysically undermining the classical Oedipus complex in the succession of Freud. In this book, psyche, work and the history of the 20th century appear concentrated in Ernst Bloch the philosopher and contemporary witness, who paid tribute to these supra-individual powers in his work as much as he hoped to transgress them.


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