The invention concerns a pipe-securing device (10) comprising a support (12), such as a saddle (16) which can be fastened in a wall by bolts, and a clamp (18) provided with securing flanges (20, 22). One (20) of the securing flanges has a notch (26) opening out in a flange side edge (24) for accommodating the shank (28) of a fastening bolt (30) which can be screwed into the support (12). The notch (26) forms a long hole which is open on one side and whose alignment (62) is inclined relative to the clamp axis (64) or the axis of the pipe to be secured such that the centre of the notch opening is at a distance from the axis (64) or a line parallel thereto, which distance is greater than the corresponding distance from the centre of the end of the notch (26).
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