• Steel and Composite Structures
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• 제19권4호
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• pp.1035-1053
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• 2015

A genetic algorithm-based minimum weight design method is presented for steel frames containing composite beams, semi-rigid connections and column bases. Genetic Algorithms carry out optimum steel frames by selecting suitable profile sections from a specified list including 128 W sections taken from American Institute of Steel Construction (AISC). The displacement and stress constraints obeying AISC Allowable Stress Design (ASD) specification and geometric (size) constraints are incorporated in the optimization process. Optimum designs of three different plane frames with semi-rigid beam-to-column and column-to-base plate connections are carried out first without considering concrete slab effects on floor beams in finite element analyses. The same optimization procedures are then repeated for the case of frames with composite beams. A program is coded in MATLAB for all optimization procedures. Results obtained from the examples show the applicability and robustness of the method. Moreover, it is proved that consideration of the contribution of concrete on the behavior of the floor beams enables a lighter and more economical design for steel frames with semi-rigid connections and column bases.

• Structural Engineering and Mechanics
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• 제70권2호
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• pp.221-231
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• 2019

This paper performs for the first time a simultaneous optimization for members sections along with semi-rigid beam-to-column connections for space steel frames with fixed, semi-rigid, and hinged bases using a biogeography-based optimization algorithm (BBO) and a genetic algorithm (GA). Furthermore, a member's sections optimization for a fully fixed space frame is carried out. A real and accurate simulation of semi-rigid connection behavior is considered in this study, where the semi-rigid base connections are simulated using Kanvinde and Grilli (2012) nonlinear model, which considers deformations in different base connection components under the applied loads, while beam-to-column connections are modeled using the familiar Frye and Morris (1975) nonlinear polynomial model. Moreover, the $P-{\Delta}$ effect and geometric nonlinearity are considered. AISC-LRFD (2016) specification constraints of the stress and displacement are considered as well as section size fitting constraints. The optimization is applied to two benchmark space frame examples to inspect the effect of semi-rigidity on frame weight and drift using BBO and GA algorithms.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.165-172
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• 2002

일반적으로 모멘트 지지 강구조물은 유한요소법에 의해 이상화되고 해석되어 왔으며 기둥과 기둥의 연결부, 기둥과 보의 접합부의 정확한 비선형 해석 결과를 위해 많은 노력을 해온 반면에 기둥의 지지부에 대한 해석은 고정단 또는 힌지로 간단하게 이루어져 왔다 그러나 실제로 기둥의 지지부는 고정단도 힌지도 아닌 그 중간인 반강성으로 거동한다. 본 논문에서는 이러한 기둥 지지부를 반강성모델을 이용해서 해석하고 그 결과를 고찰하여 기둥 지지부의 강성 및 강도의 변화가 미치는 영향을 평가하였다. 미국 시방서에 의해 설계된 전형적인 두개의 3층 모멘트지지 강구조물을 이미 개발된 강성도법 및 유연도법에 기초한 7iber 유한 요소를 사용하여 해석하였다. 기등의 지지부는 고정단과 힌지사이에 있는 반강성 지지부를 모델하기 위해 다양한 강성도를 갖는 회전 스프링을 사용하였다. 실제의 기둥 지지부와 가깝게 모델된 반강성 지지부를 갖는 구조물의 해석 결과는 고정지지부를 갖는 구조물과 어느 정도 비슷한 결과를 보여주었다. 또한 pushover 해석과 비선형 시간 이력 해석을 통해 기둥 지지부의 강성도가 감소함에 따라 1층 보의 소요 처짐각(rotational demand)이 증가하는 현상이 관찰되었다 시공상의 문제 및 노화로 인한 기동 지지부의 강성도 감소는1층의 접합부에 대한 소요 터짐각의 증가를 유발하고 그것은 곧 soft-story mechanism을 유발하게 된다.

• Structural Engineering and Mechanics
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• 제73권2호
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• pp.153-165
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• 2020

The effect of soil foundation plays active role in optimum design of steel space frames when included. However, its influence on design can be calculated after a long iterative procedure. So it requires longer computer time and more computational effort if it is done properly. The main purpose of this study is to investigate how these effects can be calculated in more practical way in a shorter time. The effects of semi-rigid column bases are taken into account in optimum design of steel space frames. This study is carried out by using JAYA algorithm which is a novel and practical method based on a single revision equation. The displacement, stress and geometric size constraints are considered in the optimum design. A computer program is coded in MATLAB to achieve corporation with SAP2000-OAPI (Open Application Programming Interface) for optimum solutions. Four different steel space frames including soil structure interaction taken from literature are investigated according to different semi-rigidly supported models depending on different rotational stiffness values. And the results obtained from analyses are compared with the results available in reference studies. The results of the study show that semi-rigidly supported systems in the range of appropriate rotational stiffness values offer practical solutions in a very short time. And close agreement is obtained with the studies on optimum design of steel space frames including soil effect underneath.

• Structural Engineering and Mechanics
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• 제66권2호
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• pp.173-183
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• 2018

This paper proposes a developed optimization model for steel frames with semi-rigid beam-to-column connections and fixed bases using teaching-learning-based optimization (TLBO) and genetic algorithm (GA) techniques. This method uses rotational deformations of frame members ends as an optimization variable to simultaneously obtain the optimum cross-sections and the most suitable beam-to-column connection type. The total cost of members plus connections cost of the frame are minimized. Frye and Morris (1975) polynomial model is used for modeling nonlinearity of semi-rigid connections, and the $P-{\Delta}$ effect and geometric nonlinearity are considered through a stepped analysis process. The stress and displacement constraints of AISC-LRFD (2016) specifications, along with size fitting constraints, are considered in the design procedure. The developed model is applied to three benchmark steel frames, and the results are compared with previous literature results. The comparisons show that developed model using both LTBO and GA achieves better results than previous approaches in the literature.

• Steel and Composite Structures
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• 제1권2호
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• pp.187-200
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• 2001

Most of the portal frames are designed these days by the application of plastic analysis, with the normal assumption being made that the column bases are pinned. However, the couple produced by the compression action of the inner column flange and the tension in the holding down bolts will inevitably generate some moment resistance and rotational stiffness. Full-scale portal frame tests conducted during a previous research program had suggested that this moment can be as much as 20% of the moment of resistance of the column. The size of this moment of resistance is particularly important for the design of the tensile capacity of the holding down bolts and also the bearing resistance of the foundation. The present research program is aiming at defining this moment of resistance in simple design terms so that it could be included in the design of the frame. The investigation also included the study of the semi-rigid behaviour of the column base/foundation, which, to a certain extent, affects the overall loading capacity and stiffness of the portal frames. A series of column bases with various details were tested and were used to calibrate a finite element model which is able to simulate the action of the holding down bolts, the effect of the concrete foundation and the deformation of the base plate.