Figure 16. The diagram of the 1ST principal stress in Pa with the lantern. Nonlinear solution
Then, the equations of the differential geometry of the dome are useful to understand and quantify the geometrical properties of the dome.
Finally, the linear solution of the finite element analysis fits the considerations of Timoshenko and Heyman, but shows positive stresses, unsuitable for the brick masonry.
The equilibrium of the dome is possible with a diffuse cracking, especially in the lower part.
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