scholarly journals Elastic Settlement Analysis of Rigid Rectangular Footings on Sands and Clays

Geosciences ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 491
Author(s):  
Lysandros Pantelidis ◽  
Elias Gravanis

In this paper an elastic settlement analysis method for rigid rectangular footings applicable to both clays and sands is proposed. The proposed method is based on the concept of equivalent shape, where any rectangular footing is suitably replaced by a footing of elliptical shape; the conditions of equal area and equal perimeter are satisfied simultaneously. The case of clay is differentiated from the case of sand using different contact pressure distribution, whilst, additionally, for the sands, the modulus of elasticity increases linearly with depth. The method can conveniently be calibrated against any set of settlement data obtained analytically, experimentally, or numerically; in this respect the authors used values which have been derived analytically from third parties. Among the most interesting findings is that sands produce “settlement x soil modulus/applied pressure” values approximately 10% greater than the respective ones corresponding to clays. Moreover, for large Poisson’s ratio (v) values, the settlement of rigid footings is closer to the settlement corresponding to the corner of the respective flexible footings. As v decreases, the derived settlement of the rigid footing approaches the settlement value corresponding to the characteristic point of the respective flexible footing. Finally, corrections for the net applied pressure, footing rigidity, and non-elastic response of soil under loading are also proposed.

2021 ◽  
Author(s):  
Lysandros Pantelidis

Abstract In the present paper, the problem of finding the location of the so-called “characteristic point” of flexible footings is revisited. As known, the settlement at the characteristic point, is equal to the uniform settlement of the respective rigid footing. The cases of infinitely long strips and circular footings are studied fully analytically. For the case of rectangular footings, analytical results (for flexible footings) are compared with the respective numerical results (for rigid footings) obtained from 3D finite element analysis (210 cases were examined). As shown, the location of the characteristic point may greatly deviate from the well-known values reported in the literature, as it strongly depends on the thickness and Poisson’s ratio value of the compressible medium. For rectangular footings this location also depends on their aspect ratio, L/B. The location of the characteristic point with respect to the center of footing for the various cases examined is given in tabular form. Strain influence area values (Aj=ρjEs/qB) are also given for the convenient calculation of the settlement (ρj) of footings, especially the rigid, rectangular ones; q is the uniform surcharge of footing and Es the soil modulus.


Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 796
Author(s):  
Fang Yu ◽  
Yu Liu

In this paper, an in-depth theoretical study on some physical properties of Ti0.5Ta0.5 alloy with systematic symmetry under high pressure is conducted via first-principles calculations, and relevant physical parameters are calculated. The results demonstrate that the calculated parameters, including lattice parameter, elastic constants, and elastic moduli, fit well with available theoretical and experimental data when the Ti0.5Ta0.5 alloy is under T = 0 and P = 0 , indicating that the theoretical analysis method can effectively predict the physical properties of the Ti0.5Ta0.5 alloy. The microstructure and macroscopic physical properties of the alloy cannot be destroyed as the applied pressure ranges from 0 to 50GPa, but the phase transition of crystal structure may occur in the Ti0.5Ta0.5 alloy if the applied pressure continues to increase according to the TDOS curves and charge density diagram. The value of Young’s and shear modulus is maximized at P = 25   GPa . The anisotropy factors A ( 100 ) [ 001 ] and A ( 110 ) [ 001 ] are equal to 1, suggesting the Ti0.5Ta0.5 alloy is an isotropic material at 28 GPa, and the metallic bond is strengthened under high pressure. The present results provide helpful insights into the physical properties of Ti0.5Ta0.5 alloy.


1999 ◽  
Vol 122 (4) ◽  
pp. 781-789
Author(s):  
L. B. Shulkin ◽  
D. A. Mendelsohn ◽  
G. L. Kinzel ◽  
T. Altan

Many manufacturing situations involve a finite thickness plate or layer of material which is pressed against a much thicker foundation of the same or different material. One key example is a blank holder (plate) pressed against a die (foundation) in a sheet metal forming operation. In designing such a plate/foundation system the design objective often involves the contact stress distribution between the plate and foundation and the design variables are typically the thickness and modulus of the plate, the stiffness of the foundation and the applied pressure distribution on the noncontacting side of the plate. In general the problem relating the variables to the contact pressure distribution is three-dimensional and requires a complex finite element or boundary element solution. However, if the applied pressure distribution consists of sufficiently localized patches, which is often the case in applications, then an approximate 3D solution can be constructed by superposition. Specifically, the paper provides a convenient calculation procedure for the contact pressure due to a single circular patch of applied pressure on an infinite, isotropic, elastic layer which rests on a Winkler foundation. The procedure is validated by using known analytical solutions and the finite element method (FEM). Next a sensitivity study is presented for ascertaining the validity of the solution’s use in constructing solutions to practical problems involving multiple patches of loading. This is accomplished through a parametric study of the effects of loading radius, layer thickness, layer elastic properties, foundation stiffness and the form of the applied pressure distribution on the magnitude and extent of the contact pressure distribution. Finally, a procedure for determining an appropriate Winkler stiffness parameter for a foundation is presented. [S1087-1357(00)00603-1]


2019 ◽  
Vol 6 (3) ◽  
pp. 182106
Author(s):  
Adam G. Taylor ◽  
Jae H. Chung

This paper presents an analysis technique of high-order contact potential problems and its application to an elastic settlement analysis of a shallow foundation system subjected to a combined traction boundary condition. Closed-form solutions of potential functions are derived for an elastic half-space subjected to bilinear tangential traction boundary conditions over rectangular surface regions. Using the principle of superposition, the present solutions provide a means to form an approximate and continuous solution of elastic contact problems with higher-order tangential boundary conditions. As an application example, an elastic settlement analysis of a rigid footing founded on a dense granular soil is performed under a tangential traction boundary condition prescribed in an analogy with the stress equilibrium states of static sandpiles. A generalized solution approach to combined normal and tangential traction boundary value problems is discussed in the context of foundation engineering.


2019 ◽  
Vol 11 (2) ◽  
pp. 178
Author(s):  
Suradiyanto Suradiyanto ◽  
Dinny Wirawan Pratiwie

The purpose of this study is to review and analyze the legal consequences of acquisitions made on limited liability companies; and based on theconsiderations used by KPPU to determine that PT Nippon Indosari Corpindo, Tbk. Has violated Law Number 5 of 1999 .This research is normative legal research. Secondary data collection in library research is done by studying documents. The data analysis method used in this study is descriptive and analyzed qualitatively.The results of this study are: (1) Acquisition or Acquisition of Limited Liability Companies can also provide legal consequences affecting the Limited Liability Company. The legal consequences referred to in the Limited Liability Company are the legal consequences both institutionally, namely shareholders, employees, and third parties, as well as the legal consequences of certain parties, especially to third parties or creditors from the acquired limited liability company. In practice that has happened so far, the status of creditors' receivables in a limited liability company that has been acquired is the responsibility of the new Shareholders ; and (2) In the reading of the decision it was also explained that the reported party had acquired / taken over shares of PT Prima Top Boga on January 24, 2018, amounting to 32,051 shares (issuance of new shares) taken over by adding capital worth Rp31,499,722,800 , 00 (thirty one billion four hundred ninety nine million seven hundred twenty thousand eight hundred rupiahs) by Pt Nippon Indosari Corpindo, Tbk. After a long process, through the Merger Directorate, it was conveyed that based on the calculation of calendar days, notices of the takeover of shares of the PT Prima Top Boga company should be notified to the Commission no later than March 23, 2018. However, the reported report took place on March 29, 2018. In accordance with PP No. 57 of 2010 that the reported party is obliged to notify the Commission of the acquisition of shares no later than 30 (thirty) working calendar days from the date the juridically effective Business Entity, Business Entity Consolidation or Takeover of Company Shares are effective.  


IQTISHODUNA ◽  
2017 ◽  
Vol 12 (2) ◽  
pp. 83-90
Author(s):  
Lilik Zazilatul Mufidah

Islamic banking development in Indonesia has been improving continuously. Islamic banking activityin fund distribution could not be separated from an influence of macro economic variable, because one of thefactors that influenced fund was macro economics outwardness of the company. The purpose of the researchwas to saw direct influence of macro variable toward fund distribution and indirect influence toward fundthrough intervening variable. Kind of the research method was quantitative, the research samples were sixgeneral Islamic Banking in Indonesia since 2011–2015 and was taken with purposive sampling. This researchused path analysis method. The result showed that interest income inflation and exchange rate did notinfluenced significantly toward third-parties fund. Whereas circulate money aggregation influenced significantlytoward third-parties fund. In the significant second test the result showed that inflation, interest income, andcirculate money aggregation influenced significantly toward fund distribution. In the third significant test, theresult showed that third-parties fund influenced significantly toward amount of fund distribution. Finally,from the results could be concluded that third-parties fund was only became intervening variable for thecirculate money aggregation, because the circulate money aggregation influenced third party fund and funddistribution.


Geosciences ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 20 ◽  
Author(s):  
Panagiotis Christodoulou ◽  
Lysandros Pantelidis

The present paper deals with the practical problem of reducing statistical uncertainty in elastic settlement analysis of shallow foundations by relying on targeted field investigation with the aim of an optimal design. In a targeted field investigation, the optimal number and location of sampling points are known a priori. As samples are taken from the material field (i.e., the ground), which simultaneously is a stress field (stresses caused by the footing), the coexistence of these two fields allows for some points in the ground to better characterize the serviceability state of structure. These points are identified herein through an extensive parametric analysis of the factors controlling the magnitude of settlement; the number of different cases considered was 3318. This is done in an advanced probabilistic framework using the Random Finite Element Method (RFEM) properly considering sampling of soil property values. In this respect, the open source RSETL2D program, which combines elastic finite element analysis with the theory of random fields, has been modified as to include the function of sampling of soil property values from the generated random fields and return the failure probability of footing against excessive settlement. Two sampling strategies are examined: (a) sampling from a single point and (b) sampling a domain (the latter refers to e.g., continuous cone penetration test data). As is shown in this work, by adopting the proper sampling strategy (defined by the number and location of sampling points), the statistical error can be significantly reduced. The error is quantified by the difference in the probability of failure comparing different sampling scenarios. Finally, from the present analysis, it is inferred that the benefit from a targeted field investigation is much greater as compared to the benefit from the use of characteristic values in a limit state design framework.


Author(s):  
L. La Ragione ◽  
L. Oger ◽  
G. Recchia ◽  
A. Sollazzo

We consider a random aggregate of identical, frictionless spheres whose contact is maintained by an applied pressure. The aggregate is then subjected to an axial compression at fixed pressure. We show that the incremental elastic response of the resulting transversely isotropic material is characterized by six rather than by five independent coefficients and that the stiffness tensor does not have the major symmetry. This is because we permit deviations from an affine deformation that are determined by local equilibrium, when anisotropy is present. Discrete element numerical simulations confirm these findings.


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