Research Article

A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods

Number: 056 March 31, 2024
EN

A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods

Abstract

Most rock masses are excellent foundation materials due to their bearing capacities of MPa. However, the ultimate bearing capacity of rock masses should be accurately estimated in the design of structures with high foundation loads. In this study, the ultimate bearing capacities of a strip footing built on rock masses with different geotechnical properties are determined using the finite element method (FEM) and the failure criterion of Hoek & Brown. The results of FE-analyses are compared to those obtained from the limit equilibrium methods (LEM) in the literature. It has been shown that the FEM with associated flow rule and Terzaghi`s limit equilibrium method give similar failure surfaces for most cases, and the ratio of ultimate bearing capacities determined according to the Terzaghi´s method to FEM varies between 1.5 and 4. In cases, in which the failure surfaces obtained from both methods differ, this ratio can rise up to 11.aring capacities determined according to the Terzaghi´s method to FEM varies between 1.5 and 4. In cases, in which the failure surfaces obtained from both methods differ, this ratio can rise up to 11.

Keywords

References

  1. [1] K. Terzaghi, Theoretical soil mechanics. New York, USA: John Wiley & Sons, 1943.
  2. [2] D.C. Wyllie, Foundations on Rock. London: E & FN Spon and USA and Canada: Routledge, 1999.
  3. [3] A. Serrano, C. Ollala, and J. Gonzalez, “Ultimate bearing capacity of rock masses based on the modifed Hoek Brown criterion,” International Journal of Rock Mechanics & Mining Sciences, vol. 37, no. 6, pp. 1013–1018, September 2000, doi:10.1016/S1365-1609(00)00028-9.
  4. [4] X. Yang and J.H. Yin, “Upper bound solution for ultimate bearing capacity with a modified Hoe-Brown failure Criterion,” International Journal of Rock Mechanics & Mining Sciences, vol. 42, no. 4, pp. 550–560, June 2005, doi: 10.1016/j.ijrmms.2005.03.002.
  5. [5] R.S. Merifeld, A.V. Lyamin, and S.W. Sloan, “Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek-Brown criterion,” International Journal of Rock Mechanics & Mining Sciences, vol. 43, no. 6, pp. 920–937, September 2006, doi: 10.1016/j.ijrmms.2006.02.001.
  6. [6] Z. Saada, S. Maghous, and D. Garnier, “Bearing capacity of shallow foundations on rocks obeying a modified Hoek–Brown failure criterion,” Computers and Geotechnics, vol. 35, no. 2, pp. 144-154, March 2008, doi: 10.1016/j.compgeo.2007.06.003.
  7. [7] Eurocode 7, Geotechnical Design–Part 1: General Rules. CEN, Brussels: 2004.
  8. [8] J.E. Bowles, Foundation Analysis and Design. Singapore: McGraw Hill, 1996.

Details

Primary Language

English

Subjects

Civil Geotechnical Engineering

Journal Section

Research Article

Publication Date

March 31, 2024

Submission Date

January 15, 2024

Acceptance Date

February 27, 2024

Published in Issue

Year 2024 Number: 056

APA
Koltuk, S. (2024). A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods. Journal of Scientific Reports-A, 056, 82-93. https://doi.org/10.59313/jsr-a.1420333
AMA
1.Koltuk S. A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods. JSR-A. 2024;(056):82-93. doi:10.59313/jsr-a.1420333
Chicago
Koltuk, Serdar. 2024. “A Comparative Study on the Estimation of Ultimate Bearing Capacity of Rock Masses Using Finite Element and Limit Equilibrium Methods”. Journal of Scientific Reports-A, nos. 056: 82-93. https://doi.org/10.59313/jsr-a.1420333.
EndNote
Koltuk S (March 1, 2024) A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods. Journal of Scientific Reports-A 056 82–93.
IEEE
[1]S. Koltuk, “A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods”, JSR-A, no. 056, pp. 82–93, Mar. 2024, doi: 10.59313/jsr-a.1420333.
ISNAD
Koltuk, Serdar. “A Comparative Study on the Estimation of Ultimate Bearing Capacity of Rock Masses Using Finite Element and Limit Equilibrium Methods”. Journal of Scientific Reports-A. 056 (March 1, 2024): 82-93. https://doi.org/10.59313/jsr-a.1420333.
JAMA
1.Koltuk S. A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods. JSR-A. 2024;:82–93.
MLA
Koltuk, Serdar. “A Comparative Study on the Estimation of Ultimate Bearing Capacity of Rock Masses Using Finite Element and Limit Equilibrium Methods”. Journal of Scientific Reports-A, no. 056, Mar. 2024, pp. 82-93, doi:10.59313/jsr-a.1420333.
Vancouver
1.Serdar Koltuk. A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods. JSR-A. 2024 Mar. 1;(056):82-93. doi:10.59313/jsr-a.1420333

Cited By