In equation (13) Yj is the angle that the resultant of stress Sj along the meridian forms with the horizontal axis at each interface and it is defined as:
Hence, simplifying and neglecting the second order terms, with regard to a slice element, the equilibrium along the local z axis yields the meridian force Sj:
where ligeom is the horizontal projection of the distance between the block's centre of mass and the origin of the global system.
The distance between the origin ofthe axes and each point of the middle surface is:
In (17), having defined w the weight for unit surface and n the number of meridian slices (see figure 5), the weight Wj of the portion of each block identified by angles and 1, is:
where yy is the angle that the tangent of the thrust line at the centre of each element forms with the horizontal
The shear force at the interface between two slices, shown in Figure 6a, can be quantified using translation equilibrium:
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