Jh. Liu et al., THE EFFECT OF INCLINED LOADS ON THE LARGE DEFLECTION BEHAVIOR OF ELASTOPLASTIC WORK-HARDENING STRAIGHT AND PRE-BENT CANTILEVERS, Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science, 209(2), 1995, pp. 87-96
A theoretical analysis is presented to examine the effect of inclined
tip load on the large deflection behaviour of an elastoplastic cantile
ver with linear work hardening. The cantilever is either initially str
aight or pre-bent to a tip angle of phi (see Fig. 1). When the load is
large enough, the overall deformation of a pre-bent cantilever is sma
ller than that of an initially straight one as a result of the influen
ce of the guided end. The maximum plastic region s(pm) in the cantilev
er increases with the force angle phi and the plastic-elastic modulus
ratio alpha, but decreases as the beam flexibility parameter beta incr
eases. Some unstable deformation may occur in the initially straight c
antilever when phi > pi/2 and this depends on the value of alpha and b
eta. Reasonable agreement is obtained between the theoretical analysis
and experimental results.