Based on the micro mechanical feature of materials and the strength theory of fibrous
bunchiness, the macro statistical size effect of materials was gained. As an example, the shear
strength of specimens from a concrete project with three scales,i.e.,small, medium and big sizes
widely adopted in soil strength tests, was discussed using the statistical analysis and the Monte-Carlo
method. The result shows the statistical size effect of soil shear strength. The research indicates that
different sizes of specimens result in different values of soil shear strength, and this phenomenon can
be well explained using the strength theory of fibrous bunchiness. When the size of a soil specimen is
bigger than medium size, its shear strength tends to be unchanged.