Title: Relationship M (κ) for reinforced concrete subjected to changing loads

Author(s): S. Goszczyński, J. Ślusarczyk

Publication: KILW

Volume: 55

Issue: 1

Appears on pages(s): 65-85

Keywords: reinforced concrete, continuous beam, model functions, relationship moment curvature M(κ),stiffness, variable reversible loads, hysteresis loops, damaging and plastifying process

DOI:

Date: 1/1/2009

Abstract:
In calculating the reinforced concrete structures, the relationship moment - curvature M(κ) is of a special importance. This paper presents a unified model of the relationship M(κ) describing the whole range: from the elastic state to the full plastification allowing for variable reversible loads (hysteresis loop). Degradation of the cross-section stiffness results in the process of damage and plastification. A unified description of the processes undergoing in the reinforced concrete beam cross-section has been provided with the use of elastic work probability, plastic work probability and the stiffness of the damage relating cross section. The values of the presented model have been determined from the empirical relationship obtained on the basis of the research on the reinforced three-span beams.