A sucker rod construction including a connector member being formed to define a rod receptacle having a closed axially inner end and an open axially outer end. The rod receptacle has a plurality of axially spaced, tapered annular surfaces. The end of a cylindrical fiberglass rod is received within said rod receptacle through the outer end and cooperates therewith to define an annular chamber between the outer surface of the end of the rod and the tapered annular surfaces. A bonding material is positioned in the annular chamber and bonds the outer surface of the end of the rod and the tapered annular surfaces. Each of the annular surfaces has an angle of taper with respect to the outer surface of the fiberglass rod, and each angle of taper is progressively less toward the open end by at least one and one-half degrees. A collet is connected to the connector member adjacent the open axially outer end of the rod receptacle and it has an axial bore therethrough retaining the end of the rod in coaxial position within the rod receptacle. A protective sleeve is disposed between the collet and the rod. The collet has an axially extending tubular portion having an outside diameter which is smaller than the outside diameter of the connector member, and a joining portion joins the outside surface of the collet and the adjoining outside surface of the connector member. The joining portion has an outer surface with a smooth curve extending between the collet and the connector member.
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