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EN
Purpose: The study presents the numerical study to investigate the bearing capacity of the rectangular footing on layered sand (dense over loose) using ABAQUS software. Design/methodology/approach: Finite element analysis was used in this study to investigate the bearing capacity of the rectangular footing on layered sand and subjected to inclined load. The layered sand was having an upper layer of dense sand of varied thickness (0.25 W to 2.0 W) and lower layer was considered as loose sand of infinite thickness. The various parameters varied were friction angle of the upper dense (41° to 46°) and lower loose (31° to 36°) layer of sand and load inclination (0° to 45°), where W is the width of the rectangular footing. Findings: As the thickness ratio increased from 0.00 to 2.00, the bearing capacity increased with each load inclination. The highest and lowest bearing capacity was observed at a thickness ratio of 2.00 and 0.00 respectively. The bearing capacity decreased as the load inclination increased from 0° to 45°. The displacement contour shifted toward the centre of the footing and back toward the application of the load as the thickness ratio increased from 0.25 to 1.25 and 1.50 to 2.00, respectively. When the load inclination was increased from 0° to 30°, the bearing capacity was reduced by 54.12 % to 86.96%, and when the load inclination was 45°, the bearing capacity was reduced by 80.95 % to 95.39 %. The results of dimensionless bearing capacity compare favorably with literature with an average deviation of 13.84 %. As the load inclination was changed from 0° to 45°, the displacement contours and failure pattern shifted in the direction of load application, and the depth of influence of the displacement contours and failure pattern below the footing decreased, with the highest and lowest influence observed along the depth corresponding to 0° and 45°, respectively. The vertical settlement underneath the footing decreased as the load inclination increased, and at 45°, the vertical settlement was at its lowest. As the load inclination increased from 0° to 45°, the minimum and maximum extent of influence in the depth of the upper dense sand layer decreased, with the least and highest extent of influence in the range of 0.50 to 0.50 and 1.75 to 2.00 times the width of the rectangular footing, respectively, corresponding to a load inclination of 45° and 0°. Research limitations/implications: The results presented in this paper were based on the numerical study conducted on rectangular footing having length to width ratio of 1.5 and subjected to inclined load. However, further validation of the results presented in this paper, is recommended using experimental study conducted on similar size of rectangular footing. engineers designing rectangular footings subjected to inclined load and resting on layered (dense over loose) sand. Originality/value: No numerical study of the bearing capacity of the rectangular footing under inclined loading, especially on layered soil (dense sand over loose sand) as well as the effect of the thickness ratio and depth of the upper sand layer on displacement contours and failure pattern, has been published. Hence, an attempt was made in this article to investigate the same.
EN
The problem of the micropolar thermoelastic medium with (G-N) theory of types II (without energy dissipation) and type III (with energy dissipation) under the effect of the inclined load was investigated. The normal mode analysis is used to obtain the solution of the physical quantities. Comparisons are made between the results predicted by the (G-N) theory of type II and type III in different values of the angle of inclination.
EN
The article presents a two-temperature theory to study the thermally insulated stress-free surface of a thermoelastic solid half-space due to an inclined load. The inclined load is a linear combination of a normal load and a tangential load. The normal mode analysis has been employed to solve the present problem. Variations of conductive and thermodynamic temperatures, displacements, and stresses distributions with the horizontal distance have been presented graphically. Some comparisons have been made to estimate the effects due to the two-temperature parameter and the inclination angle on the field quantities. Results of earlier works have been deduced from the present investigation as special cases.
EN
The present investigation is concerned with the deformation in a homogeneous, isotropic thermoelastic half-space with two temperatures as a result of an inclined load. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The integral transform technique is used to solve the problem. As an application of the approach concentrated and uniformly distributed loads have been considered. The transformed components of displacement, stress, conductive temperature and temperature distribution are inverted by using the numerical inversion technique. The effect of two temperatures and response of two generalized theories of thermoelasticity (Lord and Shulman (L-S), Green and Lindsay (G-L) theories) on the resulting quantities have been depicted graphically for a particular model. Some particular cases of interest have been deduced from the present investigation.
5
Content available remote Deformation due to inclined load in monoclinic thermoelastic material
EN
The two-dimensional deformation of homogeneous, thermally conducting monoclinic material as a result of inclined line load is investigated by applying the fourier transform. the inclined load is assumed to be a linear combination of a normal load and a tangential load. the displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. the variations of these quantities have been depicted graphically for a zinc crystal-like material in the coupled thermoelasticity (ct) and uncoupled thermoelasticity (UCT) for an insulated boundary.
EN
The analytic expressions for the displacements, microrotation, stresses and temperature distribution on the free surface of micropolar thermoelastic medium possessing cubic symmetry as a result of inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The Laplace and Fourier transforms have been employed to solve the problem. A special case of moving inclined load has been deduced by making the appropriate changes. The variations of the displacements, microrotation, stresses and temperature distribution with the horizontal distance have been shown graphically for both the problems.
7
Content available remote Elastodynamics of Inclined Loads in a Micropolar Cubic Crystal
EN
The analytic expressions for the displacement components, microrotation and stresses at any point in an infinite micropolar cubic crystal as a result of inclined load of arbitrary orientation have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The eigenvalue approach using Laplace and Fourier Transforms has been employed and the transforms has been inverted by using a numerical technique. The numerical results are illustrated graphically for a particular material.
8
Content available remote Response of thermoelastic half-space with voids due to inclined load
EN
A two-dimensional deformation of a homogeneous, isotropic, thermoelastic half-space with voids as a result of an inclined line load is investigated by applying the Laplace and Fourier transforms. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The displacements, stresses, temperature distribution and change in the volume fraction field so obtained in the physical domain are computed numerically. The variations of these quantities have been depicted graphically in the coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) for an insulated boundary.
9
Content available remote Interactions due to inclined load at micropolar elastic half-space with voids
EN
The analytic expressions for the displacements, microrotation, stresses and volume fraction field on the free surface of a micropolar elastic half-space with voids as a result of moving an inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The problem has been solved by employing the Eigen-value approach after using the Fourier transform as the use of matrix notation avoids unwidely mathematical expressions. The technique used in the present paper is simple, straightforward and convenient for numerical computations. The variations of the displacements, stresses and volume fraction field with the horizontal distance have been shown graphically for a particular model. A special case has also been discussed.
10
Content available remote Deformation due to inclined load in thermoelastic half-space with voids
EN
The two-dimensional deformation of homogeneous, isotropic, thermoelastic half-space with voids as a result of inclined line load is investigated by applying the Laplace and Fourier transforms. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The displacements, stresses, temperature distribution and change in volume fraction field so obtained in the physical domain are computed numerically. The variations of these quantities have been depicted graphically in the Lord-Shulman (L-S) theory and Green-Lindsay (G-L) theory for an insulated boundary.
PL
Artykuł dotyczy badań eksperymentalnych wsporników belek w skali naturalnej, obciążonych siłą ukośną. Przedstawiono specjalnie zaprojektowane stanowisko badawcze do tego rodzaju obciążenia, umożliwiające uzyskiwanie dowolnego stosunku siły poziomej do pionowej. Efekt tego typu obciążenia na nośność i morfologię rys został przedstawiony na 4 wspornikach belek zbrojonych ortogonalnie.
EN
Dapped - beam ends subject to inclined load are presented in this paper. The research is conducted on full-scale specimens. A special arrangement for the test of these elements has to be made. The influence of the inclined load on the load carrying capacity and crack morphology is presented on the basis of tested four dapped - beam ends with vertical reinforcement.
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