Issue 53

V. Rizov et alii, Frattura ed Integrità Strutturale, 53 (2020) 38-50; DOI: 10.3221/IGF-ESIS.53.04 40 where 3 0 x l   . (3) In (1) and (2), n b and n h are the width and height in the free end of the beam, the width and height in the clamping are denoted by t b and t h , 3 x is the longitudinal centroidal axis of the beam (Fig. 1). Figure 1: Geometry and loading of inhomogeneous cantilever beam with linearly varying sizes of the cross-section in the length direction. The beam under consideration exhibits continuous (smooth) material inhomogeneity in both height and width directions of the cross-section. Thus, the distribution of the modulus of elasticity, E , in the beam cross-section is described by the following power law:     3 3 1 2 2 g f T L S L L b y z E E E E E E b h                        , (4) where 3 2 2 b b y    , (5) 3 2 2 h h z    . (6)