Shear and tensile strengths are two aspects of the mechanical properties of structural soil. The strength of the structural intact loess and remolded loess are analyzed through two kinds of tests

which are namely the tensile strength test and the conventional triaxial shear strength test. The hyperbola strength formula of structural intact loess and remolded loess are determined by combining the test results of tensile and shear strength. The algorithms of tensile-failure stress state

tensile-shear stress state and compression-shear stress state are further investigated by modifying the corresponding failure stress according to the nonlinear strength. The structural parameter of stress ratio and the structure property are introduced into the developed hyperbola strength theory of structural loess. The results show that the established hyperbola strength formula of structured loess effectively overcomes the defect of exaggerated tensile strength based on the Mohr-Coulomb strength theory. It provides a practical strength theory which can evaluate the engineering disasters in structural loess area.