Du

and the geometries for the truncated bar class are given by p = 1, 2, or 3.

If the thickness at the edge becomes tf = 0, these distributions degenerate and become more simply t = t0

Equal constraint h^/h0 = 1/2 Parabolic flexure 0 = 1/5

Fig. 1.45 (Left) Beam of equal constraint flexures by a concentrate force F. The edge thickness ratio is tf/t0=1/2. Its thickness section in the y, z plane is a truncated parabola. (Right) Rod with a parabolic flexure by its own weight. The edge thickness ratio is tf/t0=1/5. Its thickness differs slightly from a truncated cone (after Lemaitre [95])

which, for p = 1 (beam a = const.) gives a wedge distribution with a cutting line end, for p = 2 (rod a = const., and beam R = const.) gives another kind of cubic parabola with a round end at y = i, and for p = 3 (rod R = const.) gives a parabola. 6. Equal constraint and parabolic flexure due to own weight: One shows [95] that for the four cases in Table 1.9, the differential equation for the general cases with truncated bars is dt to p - q + 1

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