### Abstract

A simple and reliable method for predicting the relationship between lateral displacement and earth pressure for rigidly framed earth retaining structures (RFERS) was developed. Closed-form equations were derived such that if one value of displacement or pressure is known (or assumed) the other can be computed for hydrostatic, seismic, uniform, and semi-elliptical earth pressure distributions. Additionally, the general form of the equations can be used to predict the magnitude of the lateral force even if the shape of the earth pressure is unknown, with a reasonable degree of accuracy. The expressions for deflection were derived by treating the structure as an equivalent cantilever beam and calibrating the resulting expression using the finite element method (FEM). A parametric FEM analysis, of 42 000 different RFERS configurations, was performed to calibrate the expressions, using multivariate non-linear regression between the derived expressions and FEM. A Weibull statistical analysis was performed for each equation and determined that the equations had better than 80% probability to yield deflections that are within 25% of the value computed using FEM. Furthermore, there is a 98% certainty that each equation will yield a deflection that is within 50% of that computed using FEM.

Original language | English (US) |
---|---|

Pages (from-to) | 517-532 |

Number of pages | 16 |

Journal | International Journal for Numerical and Analytical Methods in Geomechanics |

Volume | 36 |

Issue number | 4 |

DOIs | |

State | Published - Mar 2012 |

### Fingerprint

### Keywords

- Active
- At rest
- Jointless bridges
- Lateral drift
- Passive
- Segmental

### ASJC Scopus subject areas

- Geotechnical Engineering and Engineering Geology
- Materials Science(all)
- Mechanics of Materials
- Computational Mechanics

### Cite this

*International Journal for Numerical and Analytical Methods in Geomechanics*,

*36*(4), 517-532. https://doi.org/10.1002/nag.1025

**Approximate deflection of rigidly framed earth retaining structures due to an unknown earth pressure distribution.** / Iskander, Magued; Dimond, Andrew J.; Aboumoussa, Walid; Masood, Farah.

Research output: Contribution to journal › Article

*International Journal for Numerical and Analytical Methods in Geomechanics*, vol. 36, no. 4, pp. 517-532. https://doi.org/10.1002/nag.1025

}

TY - JOUR

T1 - Approximate deflection of rigidly framed earth retaining structures due to an unknown earth pressure distribution

AU - Iskander, Magued

AU - Dimond, Andrew J.

AU - Aboumoussa, Walid

AU - Masood, Farah

PY - 2012/3

Y1 - 2012/3

N2 - A simple and reliable method for predicting the relationship between lateral displacement and earth pressure for rigidly framed earth retaining structures (RFERS) was developed. Closed-form equations were derived such that if one value of displacement or pressure is known (or assumed) the other can be computed for hydrostatic, seismic, uniform, and semi-elliptical earth pressure distributions. Additionally, the general form of the equations can be used to predict the magnitude of the lateral force even if the shape of the earth pressure is unknown, with a reasonable degree of accuracy. The expressions for deflection were derived by treating the structure as an equivalent cantilever beam and calibrating the resulting expression using the finite element method (FEM). A parametric FEM analysis, of 42 000 different RFERS configurations, was performed to calibrate the expressions, using multivariate non-linear regression between the derived expressions and FEM. A Weibull statistical analysis was performed for each equation and determined that the equations had better than 80% probability to yield deflections that are within 25% of the value computed using FEM. Furthermore, there is a 98% certainty that each equation will yield a deflection that is within 50% of that computed using FEM.

AB - A simple and reliable method for predicting the relationship between lateral displacement and earth pressure for rigidly framed earth retaining structures (RFERS) was developed. Closed-form equations were derived such that if one value of displacement or pressure is known (or assumed) the other can be computed for hydrostatic, seismic, uniform, and semi-elliptical earth pressure distributions. Additionally, the general form of the equations can be used to predict the magnitude of the lateral force even if the shape of the earth pressure is unknown, with a reasonable degree of accuracy. The expressions for deflection were derived by treating the structure as an equivalent cantilever beam and calibrating the resulting expression using the finite element method (FEM). A parametric FEM analysis, of 42 000 different RFERS configurations, was performed to calibrate the expressions, using multivariate non-linear regression between the derived expressions and FEM. A Weibull statistical analysis was performed for each equation and determined that the equations had better than 80% probability to yield deflections that are within 25% of the value computed using FEM. Furthermore, there is a 98% certainty that each equation will yield a deflection that is within 50% of that computed using FEM.

KW - Active

KW - At rest

KW - Jointless bridges

KW - Lateral drift

KW - Passive

KW - Segmental

UR - http://www.scopus.com/inward/record.url?scp=84857503145&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857503145&partnerID=8YFLogxK

U2 - 10.1002/nag.1025

DO - 10.1002/nag.1025

M3 - Article

AN - SCOPUS:84857503145

VL - 36

SP - 517

EP - 532

JO - International Journal for Numerical and Analytical Methods in Geomechanics

JF - International Journal for Numerical and Analytical Methods in Geomechanics

SN - 0363-9061

IS - 4

ER -