Constitutive properties of convex double-cell cross-section

Coefficient Units Membrane, see Eq. (6.20) Sheii withou Loads, see Eq. (6.22) t Cross-Sectional Strains, see Eq. (6.23) 

Due to the discretization and interpolation, the finite element method is categorized as an approximation. The corresponding details are shown throughout the course of derivation of the beam finite element solution in Section 9.2. With identical underlying theory but without all the restrictions necessary to obtain an analytical solution, it is able provide answers to a wide range of problems. 

Since neither the analytic approach nor the application of shell finite elements is able to handle the general problem of d3mamic actuation and response in the rotating environment, the developed beam finite elements need to be counter-checked by means of the individual solution components, see Section 9.2.3. 

the steady-state solution with the elongation of the blade resulting from the centrifugal forces will be examined. The formulation for the analytical approach is provided by Eq. (9.8). The required linear and constant portions of the line force n x) in the lengthwise direction depicting the centrifugal effects are 

The contained constant m represents mass per length of the beam. For the two different cross-sections under consideration, it takes the following form. 

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