A method and an article of manufacture are disclosed for externally reinforcing various solid structures, such as columns, poles, piles, beams and the like, against buckling under compressive forces and loads. In various embodiments, a seamless multi-layer jacket is constructed around the structural member by wrapping a thin sheet of material around the structural member, as many times as needed, at a distance from the structural member. While maintaining the thin sheet of material wrapped around the structural member, a filler material will fill the annular space between the jacket and the structural member, wherein the structural member, the jacket, and the filler material cooperate to better resist the buckling of the structural member when subject to compressive forces and loads.