In this work, we deal with the feasibility of structural topology optimization for beam designs using retrofits that optimally allocates the reinforcement to the web under the condition that designers set bolt regions for H-beams of different dimensions. Mean compliance or minimal strain energy is considered for the optimization. Volume fraction is given to the design space to assign appropriate steel material quantities. The purpose of this study is to evaluate optimal shapes of stiffeners with the maximum rigidity that improves the axial and shear performance of the H-beam and to satisfy a given safety design standard of H-beam and stiffeners in case arbitrary load effect and resistances. Finally, the effectiveness of stiffness-based topology optimization on stiffeners is verified with several practical applicable examples.

Abstract
1. 서론
2. 연속경계면을 갖는 위상최적화
    2.1 레벨셋(Level Set) 모델
    2.2 방사형 기저함수
    2.3 위상 최적화의 준수도 최소화 문제
3. 위상최적화 전산 프로세스
4. 적용 예제
    4.1 H형강 보강재의 모델 형상
    4.2 재료 부피 별 스티프너의 위상최적화 결과
    4.3 H-형강 스티프너의 분석
5. 결론
감사의 글
References

• 정원식(세종대학교 건축공학과 석사과정) | Jung Wonsik (Dept of Architectural Engineering, Sejong University)
• 반 티엔 탄(세종대학교 건축공학과 박사후연구원 공학박사) | Banh Thien Thanh (Dept. of Architectural Engineering, Sejong University)
• 이동규(세종대학교 건축공학과 교수 공학박사) | Lee Dongkyu (Dept. of Architectural Engineering, Sejong University) Corresponding author