Mohr circle is extensively used in strength theory of geotechnical materials

stress path and bearing capacity of foundations. The pole point is a special point on the Mohr circle. It is unique and can help to determine stresses acting on any plane. In particular

the pole point method is capable of solving complex stress problems. Based on the parallel line and normal line methods stated in textbooks of soil mechanics and material mechanics

a new method to find the pole point

i.e. the ray method

is put forward. The validity and the uniqueness of the ray method are proved by using the stress equilibrium method of the isolated element. It is concluded that the parallel line method and the normal line method are special cases of the ray method. The pole points obtained by using the parallel line method and the normal line method separately are not in the same position. But the desired stress state for any plane by using the two methods are the same. However

the parallel line method is relatively easy to use. Although the ray method is relatively complex to use

it can help to understand the concept of the pole point thoroughly.