On the longest reach problem in large deflection elastic rods

Abstract The longest reach problem of an elastic cantilevered rod subjected to a tip load is here revisited. It has been investigated for the first time recently (Wang, 2016). In this paper, two extensions of the problem are covered: the case of rods of extensible axis and of variable cross sectional area distribution. The problem is stated and solved numerically by means of the shooting method. Further distances with respect to those obtained in the literature can be reached employing decreasing bending rigidity along the rod axis.