A study of sand deformation under proportional loading under generalized stress conditions is presented. The loading includes a variety of stress paths in which the principal axes of stresses have a constant inclination to the axes of the vertically water deposited specimens. This was intended to capture the effects of inherent anisotropy in sand during proportional loading. It is shown that under such loading conditions increments of volumetric and maximum shear strains depend both on the initial stress and density state as well as on the inclination of principal stresses to the material axes.