On the compression softening effect of prestressed beams

Abstract

The main objective of the present paper is to study the transverse vibration of the prestressed beams. The differential equation of the transverse vibration of the Euler-Bernoulli beam is developed, in which the initial axial strain in every cross section of the beam is taken into account, so that the initial normal stress is not equal to zero. We have proposed some formulae to determine the natural frequencies of the prestressed beam. The forced transverse vibration of the beam with a moving external force has been considered. From this it follows compression softening effect of prestressed beams. A detailed comparison between the calculating results for the prestressed and the non-prestressed beam is also presented.

Nonlinear Analysis of Blast Performance of Partially Prestressed RC Beams

“…The seismic response of a partially prestressed concrete frame to earthquake was analyzed numerically in reference [5]. The well-known "compression softening effect" was demonstrated by experiments and theoretical investigation [6][7], in which an increase in the axial compression would reduce the natural frequency of the transverse vibration of the beam. The dynamic behavior of the partially prestressed concrete beams in the presence of cracks was discussed in references [8][9][10].…”

Transverse vibrations of prestressed continuous beams on rigid supports under the action of moving bodies

“…The seismic response of a prestressed concrete frame to the earthquake was calculated numerically in reference [4]. The well-known "compression softening effect" was demonstrated by means of experimental works [5] and theoretical investigation [6]: an increase in the axial compression reduces the natural frequency of the transverse vibration of the beam and vice versa. The dynamic behavior of the prestressed concrete beams in the presence of cracks was discussed in references [7][8][9].…”