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The study concerns the effect of eccentric load on the stability and postcritical states of thin-walledCFRP laminate Z-profiles under compression. The boundary conditions applied in the study reflectedarticulated, simple support of the column’s ends. In the tests, loading force, deflection and strains of theZ-profi walls and web are measured. The experiments involve examination of the operating performanceof the structure undergoing buckling and determination of its postcritical equilibrium paths describingthe relationship between force and deflection. Based on the experimental results, numerical modelsof composite structures are designed and verified by the FEM. The scope of the numerical analysisincludes performing a linear analysis of stability, which allows for determination of the buckling modedepending on the amplitude of compressive load eccentricity and the corresponding critical loads. Thenon-linear numerical analysis of the compressed profiles was performed by the Newton-Raphson method.The numerical results and experimental findings show a satisfactory agreement. Research funding: Theproject/research was financed in the framework of the project Lublin University of Technology-RegionalExcellence Initiative, funded by the Polish Ministry of Science and Higher Education (contract no.030/RID/2018/19)