Keywords: Longest Reach Problem, Pontryagin’s Principle, Optimal Shape, Unconventional Extremal application/pdf 1508901 bytes 2023 Applied and Computational Mathematics an International Journal 22(4) eng Dolićanin, Ćemal Kačapor, Enes Atanacković, Teodor https://phaidrabg.bg.ac.rs/o:32306 doi:10.30546/1683-6154.22.4.2023.466 ISSN: 1683-3511 A note on the heavy longest reach cantilever: An unconventional optimization problem All rights reserved info:eu-repo/semantics/article Abstract: We analyze the problem of finding the shape of a heavy cantilever that minimizes volume and satisfies certain condition at the free end that corresponds to the so-called longest reach problem. The Pontryagin’s maximum principle with cross-sectional area as “control” is used in the optimization procedure. We point out some specific properties of the problem. Namely, in one formulation we are faced with standard optimization problem and in another case with unconventional optimization problem.