Semnan University Press Journal of Rehabilitation in Civil Engineering 2345-4415 14 3 2026 08 01 Best Location of Conventional Outrigger in Tall Buildings with Discontinuity in Moment of Inertia of Shear Core using Energy Method with Closed-Form Solution 10321 10.22075/jrce.2025.2337 EN Hamed Fallahi Department of Civil Engineering, Faculty of Engineering, Shahid Bahonar ‎University of Kerman, Kerman, Iran Reza Rahgozar Department of Civil Engineering, Faculty of Engineering, Shahid Bahonar ‎University of Kerman, Kerman, Iran Yasser Sharifi Faculty of Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran Journal Article 2025 06 04 This study presents a graphical solution for determining the ‎initial positioning of Conventional Outrigger (CO) system in ‎the shear core with discontinuity in moment of inertia, using ‎the energy method in tall building. In this model a cantilevered ‎beam presents The framed-tube system, while the CO system ‎is modeled by rotational springs located at their respective ‎positions. By applying the energy method, best locations of the ‎CO are identified along the building height to maximize energy ‎absorption and dissipation. For validation, the model is ‎compared with the case of a uniform shear core, and the ‎results are shown to be consistent with previous studies.‎‏ ‏Quantitative results indicate that when the shear core has no ‎discontinuity, the best positions of the CO are approximately ‎‎0.44L, 0.49L, 0.32L, and 0.52L of the building height (L) for ‎uniform, triangular, inverted triangular, and parabolic load ‎distributions, respectively. Furthermore, with increasing values ‎of the parameter γ, which corresponds to greater slenderness in ‎the second segment of the shear core, the best positions shift ‎upward along the building height. In some cases, the best ‎location falls within the first segment of the shear core, similar ‎to the case of a uniform shear core.‎‏ ‏The proposed closed-form ‎solution and the developed utility graphs offer a practical and ‎efficient tool for identifying the initial positioning of CO ‎system during the preliminary design of tall buildings.‎ https://civiljournal.semnan.ac.ir/article_10321_1edcf1319c8a4af69155b0d4e997c4a2.pdf