Cold-formed steel members (CFS) are gaining popularity and increasing importance due to their construction from thin sheet steel, making them more susceptible to local buckling. This study conducts a theoretical analysis focused on the examination of stiffened cold-formed members under axial compressive force. The factors influencing the behavior of compressed stiffened cold-formed members are identified through collapse load curves. A case study is conducted using a channel section of the cold-formed section with and without web stiffener for varying lengths. The theoretical analysis is applied to a pin-ended strut consisting of the two flanges without modification for the effective width of the web. The results are then compared with the recommendations of BS5400 based on the Perry-Robertson formula for estimating the collapse stresses formula. The findings indicate that the mathematical modeling in this study can elucidate the interactive buckling behavior of stiffened cold-formed members and provide valuable insights into the effect of web stiffener of channel section when used as cold-formed members, with the web stiffener consistently altering the mode of failure from local failure or interactive failure to overall failure.