In the case of cross sections or infinitely thin slices, this is an ill-posed problem which can be solved with specific methods as, e.g., Tikhonov regularization.
Among the accelerator-based neutron sources, the ones that are driven by electron Linacs still appear quite attractive, notably in the case of cross-section measurements with the time-of-flight method.
However, in the case of cross-section morphologies for polysulfone and nanocomposite, there was a transition from the finger-like structure (Fig. 3a) to very thin skin layer followed by honeycomb structure (Fig. 3b, c.
The method is shown to apply also in case of cross sections prone to torsional flutter.
In the section 'Derivation of G-S equation in the new approach', G-S equation including the effect of elongation ratio and triangularity is derived, and in the section 'Reduction of new G-S equation to the simple case of circular cross section', the reduction of the obtained equations to the case of circular cross section is shown as a justification.
In the absence of cross section data, assumed or parameterized cross section shapes are often used.
In this case, it is possible that the number of cross sections significantly increases.
Under general transverse loads, reduced to the cross-section principal pole, the beam will be subjected to bending with influence of shear and in addition to torsion due to shear with respect to the cross-section principal pole and to tension/compression due to shear, in the case of non-symmetrical cross-sections.
The case of rectangular cross-sections is also introduced in this chapter.
The beam will be subjected to bending with influence of shear in the principal planes, in the case of the bi-symmetrical cross-sections.
It can be derived that, in the case of uniaxial bending, the rectangular cross section is more economic than the square one.
