In the last three decades, extensive research and development have propelled carbon reinforcement as a compelling alternative to conventional steel in concrete, leading to an increased application in construction in recent years. This innovative material, resistant to corrosion, allows the concrete cover to be reduced to a minimum, enabling the construction of very filigree components and members. Against this background, the stability behavior is a theme of growing importance for the design of such structures. Moment-normal force interaction diagrams can help to assess the failure mode of slender compression members. Hence, an analytical failure envelope for carbon-reinforced concrete under combined bending and longitudinal force is derived, using an adapted, linear-elastic material model for the non-metallic reinforcement. Experimental investigations on carbon-reinforced concrete components with different slenderness ratios under simultaneous axial and flexural loads unveil insights into load-bearing and deformation behavior. This research contributes to the development of sustainable and resource-efficient concrete structures, emphasizing the significance of stability and slenderness ratios in design considerations.