You will need two values to compute maximum principle stress, minimum principle stress and maximum shearing stress at a given section and at a particular point: these values are bending stress(sigma x) and shearing stress for a particular point at that section.
Sigma x is My/I and shear stress can be computed by using equation 65 of that book, i.e the equation for computing variation of shear stress over a rectangular cross-section. You will need to pick a point to compute these values, if you have taken a mid of cross-section, then shear stress will be maximum and bending stress will be zero. Put these two values in