Dynamic Load Characteristics in Plastic Bending of Beams

Abstract

Abstract This paper continues work previously reported on the analysis of large plastic deformations of beams subjected to transverse dynamic loads. Here we discuss the numerical analysis for central concentrated force pulses of arbitrary shape, using a somewhat different formulation of the equations than in the previous paper. Results are then collected for three types of force pulse: A rectangular pulse, a half-sine wave, and a triangular pulse. These show that the central angle of permanent deformation for all three cases can be computed from the empirical formula θ0 = CI2Pm2/3, where I is the impulse, Pm is the maximum load value, and C depends on the dimensions and properties of the beam, with a numerical factor that varies by about ±15 per cent from the value for the half-sine wave pulse to those for the other two pulse types.