This invention discloses an automated design method for axially compressed circular
steel tube sections reinforced with T-shaped steel based on target
moment of inertia. Addressing the problem in existing steel reinforcement designs where multiple geometric variables are coupled, leading to inability to directly solve the problem and heavy reliance on
trial and error based on manual experience, this method obtains the original tube parameters and reinforcement
axial force requirements. It introduces a modified slenderness ratio based on the combined T-shaped steel section, using the standard Class A column curve as a benchmark to inversely deduce the target total
moment of inertia required for reinforcement. Based on the principle of stiffness superposition, the independent
moment of inertia requirements of the T-shaped steel are separated. Subsequently, a multi-dimensional parameter space including web and
flange dimensions is constructed, and local stability width-to-thickness ratio limits and
welding construction requirements such as height-to-
width ratio and thickness coordination are forcibly coupled as
boundary constraints. Finally, a full-parameter space grid
search algorithm is used to
traverse and optimize the discrete integer domain. This invention achieves a direct mapping from macroscopic
bearing capacity requirements to microscopic multivariable section dimensions, automatically outputting a complete set of feasible solutions that meet both mechanical and construction standards, significantly improving the accuracy and economic efficiency of reinforcement design.