• 한국방재학회:학술대회논문집
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• 한국방재학회 2010년도 정기 학술발표대회
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• pp.83.2-83.2
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• 2010

Stepped I-beams having increased moment of inertia at one end(singly stepped beam) or both ends(doubly stepped beams) can often be seen in construction of bridges due to material economy and easy fabrication of the section. This paper presents the results of the parametric study of lateral torsional buckling of monosymmetric stepped I-beams with constant depth subjected to equal and opposite end moments applied at the end of the beam. Design recommendations were made based on the finite element results of the models having different combinations of monosymmetric ratio, stepped length ratio, flange thickness ratio and flange width ratio,. The proposed approximation is acceptable based on the parameters given having mostly conservative results. The proposed equation can be further used to extend the study to different loading conditions.

• 한국방재학회 논문집
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• 제10권2호
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• pp.7-13
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• 2010

단순보 끝단의 단면을 증가시키는 일단과 양단 계단식 단면 변화 I형보는 경제적인 단면활용과 제작의 편의성으로 인하여 교량제작에 널리 사용되고 있다. 본 연구는 균일 모멘트를 받는 일축대칭 I형 스텝보의 횡-비틀림 좌굴 강도에 관한 연구이다. 유한요소해석이 본 연구에 활용되었으며, 해석매개변수로는 단면변화 길이 비율, 플랜지두께 변화 비율과 플랜지폭 변화 비율 및 다양한 일축대칭비율이 고려되었다. 해석결과를 토대로 제안된 설계강도식은 대부분의 경우에 안전측의 값을 나타내고 있으며, 향후 다양한 하중조건을 고려한 설계식 개발에 활용될 수 있을 것이다.

• 한국강구조학회 논문집
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• 제26권6호
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• pp.581-594
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• 2014

HSB800과 HSB600 강재를 플랜지와 웨브에 적용하고 균일휨모멘트를 받는 하이브리드거더의 휨강도 평가를 위한 연구를 수행하였다. 비조밀 및 조밀플랜지와 세장, 비조밀 및 조밀 웨브를 갖는 이축 및 일축대칭 단면들을 대상으로 하였으며, 3차원 쉘요소 모델에 초기처짐과 잔류응력의 영향을 고려하여 '단면 휨강도' 및 '횡비틀림좌굴 강도'를 비선형해석으로부터 평가하였다. 수치해석 결과는 AASHTO LRFD 및 Eurocode 3 기준과 비교하였으며, 비조밀 및 조밀 웨브를 갖는 단면에 대해서는 AASHTO LRFD 부록 A6 기준의 적용성을 분석하였다.

• 국제강구조저널
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• 제18권4호
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• pp.1440-1463
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• 2018

The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.