The Analysis of Crossed Foundation Beams Lying on the Soil Base

Teimuraz Kikava; Levan Dolidze

doi:doi:10.11648/j.ajce.20210901.14

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The Analysis of Crossed Foundation Beams Lying on the Soil Base

Teimuraz Kikava, Levan Dolidze

Published in American Journal of Civil Engineering (Volume 9, Issue 1)

Received: 20 January 2021 Accepted: 14 February 2021 Published: 26 March 2021

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Abstract

To ensure uniform settlement of buildings and structures erected on a weak and heterogeneous soils, reinforced concrete foundations are designed from cross beams, or solid slabs. Currently, cross foundation beams and solid slabs are widely used in construction, like in the construction of high-rise buildings and many other engineering structures. In cross beams, at their intersection with an increase in load and stiffness, especially with an asymmetric load, in addition to bending moments and shear forces, the torques reaching large values can also occur, which are often not taken into account. The torques arisen at the knots of the crossed foundations may, in some cases, have a significant effect on their operation, for example, if the torques reach important values, then additional reinforcement must be placed in the foundations by stipulating the pressures arisen from them. For the correct selection of reinforcement, it is necessary to know the values of not only the bending moments, but also the torques arisen in the constructions. The existing methods of calculation often consider and calculate the crossed foundations as the constructions lying on a linearly deformable base. Besides most of them do not take into account the influence of torques. The methods of calculating the crossed foundations have been worked out by the author, by stipulating effect of bending moments on their working. There are given the formulas to calculate the bending moments, the system of equations is drawn up for linear and angular movements to define the unknown forces arisen at the knots of crossing the foundation beams. After determining these unknown forces, each beam is considered and calculated as a separate one, lying on a linearly deformable foundation.

Published in	American Journal of Civil Engineering (Volume 9, Issue 1)
DOI	10.11648/j.ajce.20210901.14
Page(s)	25-30
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Crossed Foundations, Linearly Deformable Base, Torques, Bending Moments

References

[1]	SIMVULIDI, I. KIKAVA, T. BULATOV, V. 1986. Approximate method for analysis of a beam on elastic base. Moscow., VINITI 2341-86. pp. 1-7.
[2]	SIMVULIDI, I. 1987. Analysis of the engineering constructions on elastic base. Moscow, Higher School.
[3]	B. Saint-Venant “Memoire sur les lignes courbes non planes, presente al’ Academie des sciences le 16 September 1844. (Paris, Bachelier, 1845).
[4]	KIKAVA, T. 2012. Calculation of the cross beams lying on the soil basis. Belgorod (Russian). Scientific jurnal №14(126) pp. 65-67. E-mail: belgorod@rusnaika.com.
[5]	OVECHKIN, A. 1936. Calculation the beams lying on elastic base. Moscow., Aviation Institute.
[6]	KIKAVA, T. 2012. The mechanic of soils and foundations. Batumi., Textbook. Batumi State University (Georgia).
[7]	SIMVULIDI, I. KIKAVA, T. BULATOV, V. 1986. Relocation of elastic half-space under effect of load equally distributed along load line. Moscow., VINITI 2342-B86. pp. 2-11.
[8]	LAMBE. I, WHITMAN. R. Soli mechanics. New York, 2010.
[9]	HARR. M, Fundamentals of Soil Mechanics. Translation from English. Moscow; 1971. Russia.
[10]	DALMATOV B. Soil Mechanics, Basements and Foundations. Moscow; 1981. Russia.
[11]	TSCHEBOTARIOFF. G. Foundations. New York., 1973.
[12]	KIKAVA. T, the analysis of the rectangular closed rigid frame supported by trestle bents. Tbilisi 2007. Gournal “Energy” №1. pp. 109-111. Georgia.
[13]	ATKINSON. G, The mechanics of soils and foundations. Taylor and Francis Group. London and New York, 2010.
[14]	KIKAVA. T, The analysis of the tunnel with the middle soil-based wall. Technical university of Ostrava. Check Republic,2016. Vol.16, №1 pp. 25-32.
[15]	KIKAVA. T, Issues Related to Pile Grillage Calculation. Iris Publishers, Civil Engineering. San Francisco, CA, USA, 2019.

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Teimuraz Kikava, Levan Dolidze. (2021). The Analysis of Crossed Foundation Beams Lying on the Soil Base. American Journal of Civil Engineering, 9(1), 25-30. https://doi.org/10.11648/j.ajce.20210901.14

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ACS Style

Teimuraz Kikava; Levan Dolidze. The Analysis of Crossed Foundation Beams Lying on the Soil Base. Am. J. Civ. Eng. 2021, 9(1), 25-30. doi: 10.11648/j.ajce.20210901.14

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AMA Style

Teimuraz Kikava, Levan Dolidze. The Analysis of Crossed Foundation Beams Lying on the Soil Base. Am J Civ Eng. 2021;9(1):25-30. doi: 10.11648/j.ajce.20210901.14

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@article{10.11648/j.ajce.20210901.14,
  author = {Teimuraz Kikava and Levan Dolidze},
  title = {The Analysis of Crossed Foundation Beams Lying on the Soil Base},
  journal = {American Journal of Civil Engineering},
  volume = {9},
  number = {1},
  pages = {25-30},
  doi = {10.11648/j.ajce.20210901.14},
  url = {https://doi.org/10.11648/j.ajce.20210901.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20210901.14},
  abstract = {To ensure uniform settlement of buildings and structures erected on a weak and heterogeneous soils, reinforced concrete foundations are designed from cross beams, or solid slabs. Currently, cross foundation beams and solid slabs are widely used in construction, like in the construction of high-rise buildings and many other engineering structures. In cross beams, at their intersection with an increase in load and stiffness, especially with an asymmetric load, in addition to bending moments and shear forces, the torques reaching large values can also occur, which are often not taken into account. The torques arisen at the knots of the crossed foundations may, in some cases, have a significant effect on their operation, for example, if the torques reach important values, then additional reinforcement must be placed in the foundations by stipulating the pressures arisen from them. For the correct selection of reinforcement, it is necessary to know the values of not only the bending moments, but also the torques arisen in the constructions. The existing methods of calculation often consider and calculate the crossed foundations as the constructions lying on a linearly deformable base. Besides most of them do not take into account the influence of torques. The methods of calculating the crossed foundations have been worked out by the author, by stipulating effect of bending moments on their working. There are given the formulas to calculate the bending moments, the system of equations is drawn up for linear and angular movements to define the unknown forces arisen at the knots of crossing the foundation beams. After determining these unknown forces, each beam is considered and calculated as a separate one, lying on a linearly deformable foundation.},
 year = {2021}
}

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TY  - JOUR
T1  - The Analysis of Crossed Foundation Beams Lying on the Soil Base
AU  - Teimuraz Kikava
AU  - Levan Dolidze
Y1  - 2021/03/26
PY  - 2021
N1  - https://doi.org/10.11648/j.ajce.20210901.14
DO  - 10.11648/j.ajce.20210901.14
T2  - American Journal of Civil Engineering
JF  - American Journal of Civil Engineering
JO  - American Journal of Civil Engineering
SP  - 25
EP  - 30
PB  - Science Publishing Group
SN  - 2330-8737
UR  - https://doi.org/10.11648/j.ajce.20210901.14
AB  - To ensure uniform settlement of buildings and structures erected on a weak and heterogeneous soils, reinforced concrete foundations are designed from cross beams, or solid slabs. Currently, cross foundation beams and solid slabs are widely used in construction, like in the construction of high-rise buildings and many other engineering structures. In cross beams, at their intersection with an increase in load and stiffness, especially with an asymmetric load, in addition to bending moments and shear forces, the torques reaching large values can also occur, which are often not taken into account. The torques arisen at the knots of the crossed foundations may, in some cases, have a significant effect on their operation, for example, if the torques reach important values, then additional reinforcement must be placed in the foundations by stipulating the pressures arisen from them. For the correct selection of reinforcement, it is necessary to know the values of not only the bending moments, but also the torques arisen in the constructions. The existing methods of calculation often consider and calculate the crossed foundations as the constructions lying on a linearly deformable base. Besides most of them do not take into account the influence of torques. The methods of calculating the crossed foundations have been worked out by the author, by stipulating effect of bending moments on their working. There are given the formulas to calculate the bending moments, the system of equations is drawn up for linear and angular movements to define the unknown forces arisen at the knots of crossing the foundation beams. After determining these unknown forces, each beam is considered and calculated as a separate one, lying on a linearly deformable foundation.
VL  - 9
IS  - 1
ER  -

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Author Information

Teimuraz Kikava

Engineering and Construction Department, Faculty of Technologies, Batumi Shota Rustaveli State University, Batumi, Georgia
Levan Dolidze

Engineering and Construction Department, Faculty of Technologies, Batumi Shota Rustaveli State University, Batumi, Georgia

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APA Style

Teimuraz Kikava, Levan Dolidze. (2021). The Analysis of Crossed Foundation Beams Lying on the Soil Base. American Journal of Civil Engineering, 9(1), 25-30. https://doi.org/10.11648/j.ajce.20210901.14

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ACS Style

Teimuraz Kikava; Levan Dolidze. The Analysis of Crossed Foundation Beams Lying on the Soil Base. Am. J. Civ. Eng. 2021, 9(1), 25-30. doi: 10.11648/j.ajce.20210901.14

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AMA Style

Teimuraz Kikava, Levan Dolidze. The Analysis of Crossed Foundation Beams Lying on the Soil Base. Am J Civ Eng. 2021;9(1):25-30. doi: 10.11648/j.ajce.20210901.14

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@article{10.11648/j.ajce.20210901.14,
  author = {Teimuraz Kikava and Levan Dolidze},
  title = {The Analysis of Crossed Foundation Beams Lying on the Soil Base},
  journal = {American Journal of Civil Engineering},
  volume = {9},
  number = {1},
  pages = {25-30},
  doi = {10.11648/j.ajce.20210901.14},
  url = {https://doi.org/10.11648/j.ajce.20210901.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20210901.14},
  abstract = {To ensure uniform settlement of buildings and structures erected on a weak and heterogeneous soils, reinforced concrete foundations are designed from cross beams, or solid slabs. Currently, cross foundation beams and solid slabs are widely used in construction, like in the construction of high-rise buildings and many other engineering structures. In cross beams, at their intersection with an increase in load and stiffness, especially with an asymmetric load, in addition to bending moments and shear forces, the torques reaching large values can also occur, which are often not taken into account. The torques arisen at the knots of the crossed foundations may, in some cases, have a significant effect on their operation, for example, if the torques reach important values, then additional reinforcement must be placed in the foundations by stipulating the pressures arisen from them. For the correct selection of reinforcement, it is necessary to know the values of not only the bending moments, but also the torques arisen in the constructions. The existing methods of calculation often consider and calculate the crossed foundations as the constructions lying on a linearly deformable base. Besides most of them do not take into account the influence of torques. The methods of calculating the crossed foundations have been worked out by the author, by stipulating effect of bending moments on their working. There are given the formulas to calculate the bending moments, the system of equations is drawn up for linear and angular movements to define the unknown forces arisen at the knots of crossing the foundation beams. After determining these unknown forces, each beam is considered and calculated as a separate one, lying on a linearly deformable foundation.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - The Analysis of Crossed Foundation Beams Lying on the Soil Base
AU  - Teimuraz Kikava
AU  - Levan Dolidze
Y1  - 2021/03/26
PY  - 2021
N1  - https://doi.org/10.11648/j.ajce.20210901.14
DO  - 10.11648/j.ajce.20210901.14
T2  - American Journal of Civil Engineering
JF  - American Journal of Civil Engineering
JO  - American Journal of Civil Engineering
SP  - 25
EP  - 30
PB  - Science Publishing Group
SN  - 2330-8737
UR  - https://doi.org/10.11648/j.ajce.20210901.14
AB  - To ensure uniform settlement of buildings and structures erected on a weak and heterogeneous soils, reinforced concrete foundations are designed from cross beams, or solid slabs. Currently, cross foundation beams and solid slabs are widely used in construction, like in the construction of high-rise buildings and many other engineering structures. In cross beams, at their intersection with an increase in load and stiffness, especially with an asymmetric load, in addition to bending moments and shear forces, the torques reaching large values can also occur, which are often not taken into account. The torques arisen at the knots of the crossed foundations may, in some cases, have a significant effect on their operation, for example, if the torques reach important values, then additional reinforcement must be placed in the foundations by stipulating the pressures arisen from them. For the correct selection of reinforcement, it is necessary to know the values of not only the bending moments, but also the torques arisen in the constructions. The existing methods of calculation often consider and calculate the crossed foundations as the constructions lying on a linearly deformable base. Besides most of them do not take into account the influence of torques. The methods of calculating the crossed foundations have been worked out by the author, by stipulating effect of bending moments on their working. There are given the formulas to calculate the bending moments, the system of equations is drawn up for linear and angular movements to define the unknown forces arisen at the knots of crossing the foundation beams. After determining these unknown forces, each beam is considered and calculated as a separate one, lying on a linearly deformable foundation.
VL  - 9
IS  - 1
ER  -

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