Tk J

In a similar way, we calculate the resultants of the moments acting on the element's side and get the formulas for the bending moment G\ and the twisting

FIGURE 3. Forces and moments acting on an element of shell surface moment H2\


The positive directions of forces and moments are shown in Figure 3. In order to get the equilibrium equations in the terms of forces and moments, we equate to zero the principal vector and the principal moment of all the forces acting on an element of the shell's middle surface. The necessary calculations can be found in any course on shell theory; and here we will only write the equilibrium equations

AjAj octi A,Aj octj Ri

aa1 aa2

The components of the surface load are expressed in terms of the components of the body forces. The components of the loads are applied to the surfaces of the shell [21], i.e.,

RiRj h2


0 0

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