• Structural Engineering and Mechanics
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• v.5 no.4
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• pp.415-431
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• 1997

Stability equations that evaluate the elastic critical axial load of stepped columns under extreme and intermediate concentrated axial loads in any type of construction with sidesway totally inhibited, partially inhibited and uninhibited are derived in a classical manner. These equations can be utilized in the stability analysis of framed structures (totally braced, partially braced, and unbraced) with stepped columns with rigid, semirigid, and simple connetions. The proposed column classification and the corresponding stability equations overcome the limitations of current methods which are based on a classification of braced and unbraced columns. The proposed stability equations include the effects of: 1) semirigid connections; 2) step variation in the column cross section at the point of application of the intermediate axial load; and 3) lateral and rotational restraints at the intermediate connection and at the column ends. The proposed method consists in determining the eigenvalue of a $2{\times}2$ matrix for a braced column at the two ends and of a $3{\times}3$ matrix for a partially braced or unbraced column. The stability analysis can be carried out directly with the help of a pocket calculator. The proposed method is general and can be extended to multi-stepped columns. Various examples are include to demonstrate the effectiveness of the proposed method and to verify that the calculated results are exact. Definite minimum bracing criteria for single stepped columns is also presented.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2006.11a
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• pp.801-804
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• 2006

The purpose of this paper is to investigate the stability of stepped cantilever columns with a tip mass of rotatory inertia and a translational spring at one end. The column model is based on the Bernoulli-Euler theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibration of columns with stepwise variable cross-section and subjected to a subtangential follower force is solved numerically using the corresponding boundary conditions. And the bisection method is used to calculate the critical divergence/flutter load. The frequency and critical divergence/flutter load for the stepped column with a single step are presented as functions of various non-dimensional system parameters: the segmental length parameter, the section ratio, the subtangential parameter, the mass, the moment of inertia of the mass, and the spring parameter.

• Structural Engineering and Mechanics
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• v.63 no.3
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• pp.385-400
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• 2017

This paper presents an experimental study on the behavior of axially-loaded steel RHS (rectangular hollow section) compression members that are partially reinforced along their lengths with welded steel plates. 28 slender column tests were carried out to investigate the effects of the slenderness ratio of the unreinforced member and the ratio of the reinforced length of the member to its entire length. In addition to the slender column tests, 14 stub-column tests were conducted to determine the basic mechanical properties of the test specimens under uniform compression. Test results show that both the compressive strength and stiffness of an RHS member can be increased significantly compared to its unreinforced counterpart even when only the central quarter of the member is reinforced. Based on the limited test data, it can be concluded that partial reinforcement is, in general, more effective in members with larger slenderness ratios. A simple design expression is also proposed to predict the compressive strength of RHS columns partially reinforced along their length with welded steel plates by modifying the provisions of AISC 360-10 to account for the partial reinforcement.

• Magazine of the Korean Society of Agricultural Engineers
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• v.38 no.6
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• pp.42-50
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• 1996

이 논문은 step기둥의 자유진동 및 좌굴하중에 관한 연구이다. 축하중을 받는 변단면 기둥의 자유진동을 지배하는 편미분방정식을 이용하여 축하중을 받는 step기둥의 자유진동을 지배하는 상미분방정식을 유도하였다. 또한 이 자유진동을 지배하는 미분방정식을 이용하여 step기둥의 좌굴하중을 지배하는 상미분방정식을 유도하였다. 유도된 미분방정식들을 Heun방법과 Regula-Falsi방법을 이용하여 고유진동수 및 좌굴하중을 산출할 수 있는 수치해석방법을 개발하였다. 실제 수치해석 예에서는 2개의 step구간을 갖는 회전-회전, 회전-고정, 고정-고정 기둥에 대한 무차원 고유진동수화 무차원변수들과의 관계 및 무차원 좌굴하중과 무차원 변수들과의 관계를 그림에 나타내었다.

• Structural Engineering and Mechanics
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• v.66 no.2
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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.

• Korean Journal of Heritage: History & Science
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• v.54 no.1
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• pp.280-301
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• 2021

Chogak has been regarded as originating from the paintings decorating building elements. Various curved shape drawings that were first seen in the paintings of Goguryeo tomb murals evolved into the vine patterned Dancheong of Geuklakjeon in Bongjeongsa. Cheomcha of Geuklakjeon was chiseled with Yeonhwadusik relievo at the bottom on top of Dancheong, and this was the beginning of Cheomcha-Chogak. Also, Cheomcha, which was carved with a preliminary vine patterned Chogak in Daeungjeon in Bongjeongsa, opened the era of engraving Chogak directly on the surface of structural elements. Since then, vine patterned Chogak was a significant decoration technique for the Cheomcha of traditional wooden construction for a long time. Because Jeongjagak is a structure that was continuously built between the end of the Japanese invasion of Korea in 1592 and the late Joseon Dynasty, the transition of Cheomcha-Chogak over time can be seen through Jeongjagak architecture. The early Cheomcha-Chogak presents stems that climb up (Upbound-type) towards the headpiece on a column, while stems of Chogak later reversed direction to descend (Downbound-type) from the headpiece. This study examined the transition process and reasons for the change, with a focus on the findings above, and identified a new type of Chogak that is unrelated to the direction type and was adopted during the transition from Upbound-type to Downbound-type. The new type appeared when the Jeongjagaks for the Royal Tomb of Kyeongjo and those of the Injo were built, and it matches with the transitional period wherein lotus vanishes from Hwaban-Chogak. The study also inferred that the direction change of Cheomcha-Chogak stems was caused by the separation of vine patterned Chogak, carved with a two-stepped inner Ikgon, into both upward and downward from the headpiece, and this led to the changes that manifested as the inside of Choikgong being the Downbound-type Chogak and the variegated vine patterned Chogak of Choikgong affecting the direction of Cheomcha-Chogak. This is the follow-up study of "A Study on the Hwaban-Chogak of the Neungwon-Jeongjagak," a paper published in 2018, and is limited in n that Cheomcha, the focus of the research, is just one of the construction elements of Jeongjagak. The entirety ofChogak cannot be understood only by observing Cheomcha.