yarns in the same direction according to substantially superposed rows perpendicular to the plane of the layers this in fact has no effect on the functions which are fulfilled by the textile structure according to the invention or on its mechanical properties in any case when a structure is draped over a piece the layers of yarns which constitute it slide in relation to one another thus the invention is not limited to a distribution of the yarns in the same direction according to substantially superposed rows for example fig7 shows a textile structure according to the invention comprising like that illustrated in fig1 four layers 16 to 19 of weft yarns 10 and three layers 21 to 23 of warp yarns 30 arranged alternately the yarns all having the same direction within one and the same layer it can be noted that the layers are arranged in such a manner that the direction of one layer is crossed in relation to that of the adjacent layers in this example the directions of two adjacent layers are essentially at 90 u00b0 from one another the layers are arranged in such a manner that the yarns of the layers of the same nature warp or weft are not superposed but offset in relation to one another the stacked layers of the textile structure are tied by tying yarns 20 the method of tying is of the 4 1 twill type.