Computation of Limit Loads for Bending Plates

Abstract

The purpose of this paper is to present a method for calculating the upper bound limit loads of plate bending using a conforming Hsieh-Clough-Tocher (HCT) element. These limit loads can be obtained from Koiter’s kinematic shakedown theorem for the case of one load vertex instead of using the kinematic limit theorem. When combining this theorem with the approximated displacement field, the limit analysis turns into an optimization problem and can be effectively solved by Second-Order Cone Programming (SOCP). Several benchmark plate problems such as square, rectangular, and L-shape plates are investigated to illustrate the effectiveness of the proposed solution. The results of the proposed method show good agreement with the results of previous studies. The maximum error is only 2.91% for the fully clamped rectangular plate problem.

The Effectiveness of determining the Load-bearing Capacity of Piles based on the Results of Pile Dynamic Testing: The Case Study of Long An Province, Vietnam

“…The Hardening Soil model simulates the stress-strain relationship of the soil using a Hyperbolic curve reached from the elastoplastic theory instead of the elastic theory. Therefore, the Hardening Soil model has the capability to simulate nonreversible stress-strain behavior, making it more accurate in representing the real soil characteristics [5,6]. Three elastic moduli, E ref 50 , E ref oed , E ref ur , were selected based on the results of triaxial CU tests and unconfined compression tests on all soil layers investigated in this study.…”

Analyzing Embankment Displacement: PVD and Vacuum Consolidation with Sheet Pile Protection

“…Numerous laboratory tests, including the use of modified triaxial test devices [3,4,5], have explored the lateral displacement associated with this technique. Additionally, several studies have proposed straightforward techniques for predicting such displacement Despite the wealth of analytical [8][9][10] and numerical [1,6,7,12,13] studies examining vertical and lateral displacements resulting from PVD with vacuum consolidation, a critical aspect remains largely unexplored: the identification of countermeasures to effectively mitigate these substantial displacements. In the analysis of the Bachiem road construction case study, a strategic solution emerged to mitigate displacements linked to embankment construction, employing steel sheet piles.…”