Abstract
Theoretical moment-curvature relationships for reinforced concrete
members with cyclic loading are derived using stress-strain curves
for steel and concrete. The theoretical curves compare well with
test results and illustrate the variation in flexural stiffness due
to the Bauschinger effect of the steel and to the presence of open
cracks in the compression zone of the concrete which may eventually
close. These cracks mean that for large portions of the moment-curvature
curves after the first yield excursion the moment of resistance is
provided by a steel couple alone. During this part of the cyclic
loading the main role of the concrete is to prevent buckling of the
steel. For beams with a marked difference between the top and bottom
steel areas and for columns the moment-curvature loops show a pinching
in effect and the loop area is significantly smaller than that of
the commonly used elastoplastic idealization.
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