Reliability Assessment of Steel Plane Frame's Buckling Strength Considering Semi-rigid Connections

Uncertainty is ubiquitous in any engineering system at any stage of product development and throughout a product's life cycle. As information and sensor technology develops, more and more data about engineering systems are gathered. A strong technique for calibrating models using new information and observations is Bayesian updating. The applied loads, yield strength, plastic section modulus, span, cross-section dimensions, and modulus of elasticity from the international literature have been updated through the local literature and a data survey for the interior girder portal frames to investigate the reliability index and the probability of failure of the system. First Order Reliability Method (FORM) and Monte Carlo (MC) simulations have been used to estimate the reliability and probability of failure of strength and serviceability limit state function. The results reveal that for shear force, the reliability index increased significantly from 9.03 to 16.01. At the same time, the reliability index of the bending moment and deflection increased from 4.34 to 5.30 and from 6.90 to 7.66 respectively.

Section: B Monte Carlo (Mc) Methodsmentioning

confidence: 99%

“…The yield strength of steel R S , has been considered as an example to explain that process. Updating mean, standard deviation, and coefficient of variance have been estimated based on the relations in ( 9)- (11). The posterior statistical characteristics of the independent variables are summarized in Table V…”

Section: Variablesmentioning

confidence: 99%

Strength and Deflection Reliability Estimation of Girder Steel Portal Frames Using the Bayesian Updating Method

Fahmi

Al-Zaidee

2022

“…Optimization problems can be classified as single-objective or multi-objective, depending on the number of objective functions [16][17]. In Civil Engineering, building optimization studies often use up to 2 objective functions [18], with the exception of 3-objective functional optimization in different techniques where the objective function [19] can be linear or non-linear, convex or non-convex, unimodal or multimodal, differentiable or not, continuous or discontinuous, expensive or unaffordable in terms of computing.…”

Section: A Optimization Problems and Criteriamentioning

confidence: 99%

Push-over Analysis of Optimized Steel Frames

Hassaine¹,

Bourdim²,

Varum

et al. 2022

The traditional optimization methods are effective when dealing with small-scale problems. However, for large-scale problems, these methods fail to obtain optimal solutions, and after a long operation, several solutions are obtained. New methods, known as metaheuristics, have provided new implementations to be used in many applications. They have enabled the resolution of many complex industrial and technical problems. They have the merits of avoiding local optima and finding optimal solutions, due to their ease of understanding, flexibility, adaptation simplicity, and ability to get out of local optima traps. This article aims to model a 2D metal frame gantry with two spans and two levels already optimized by ROBOT Millennium software in order to show the effect of structural optimization in the pre-design phase and of obtaining its non-linear behavior by the pushover method. Three optimal dimensional configurations of this gantry were taken into account and the best was chosen, one which satisfied an adequate behavior in the non-linear domain while respecting the CM66 and Eurocode3 regulations.

“…Nguyen and Kim developed a plastic hinge method using stability functions for nonlinear dynamic analysis of steel frames [6,7,13], including the effects of semi-rigid connections and also developed distributed plasticity methods using stability functions for nonlinear dynamic analysis of semi-rigid steel frames employed by the Hilber-Hughes-Taylor method for solving dynamic equations [14,15,17]. Recently, authors in [26][27][28] tried to investigate the behavior of steel frames with the effects of connections. To the best of our knowledge, there is no study on the fiber plastic hinge method using stability functions for nonlinear dynamic analysis of steel frames.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Inelastic Earthquake Analysis of 2D Steel Frames

Nguyen

2020

In this work, a new method for nonlinear time-history earthquake analysis of 2D steel frames by a fiber plastic hinge method is presented. The beam-column element based on the displacement-based finite element method is established and formulated in detail using a fiber plastic hinge approach and stability functions. Geometric nonlinearities are taken into accounting by stability functions and the geometric stiffness matrix. A nonlinear dynamic algorithm is established based on the combination of the Newmark integration method and the Newton-Raphson iterative algorithm for solving dynamic equations. The proposed program predicts the nonlinear inelastic responses of 2D steel frames subjected to earthquakes as efficiently and accurately as commercial software. This study also shows that the initial residual stresses of steel should be considered in nonlinear inelastic time-history earthquake analysis of 2D steel frames while SAP2000 does not consider the effects of residual stresses.