Abstract: A scope mount for a rifle has a mounting stud 23 which is held in position by the engagement of its lower conical face 25 with an aperture 30 in the mounting plate 10. The stud 23 has a groove 27 in part defined by an upper conical face 28. A clamp 14 is secured to the mounting stud 23 by adjustment screws 22, 22a which have conical end faces that engage the conical face 28 of the stud 23 to draw the clamp down onto the mounting plate. Recoil forces are transferred to the clamp 14 through the vertical faces of the central portion 26 and head 29 of the stud 23 which engage the wall of the aperture 20 in the boss 19 of the clamp 14.