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ANALYSIS OF REINFORCED AND PRESTRESSED CONCRETE SLABS BY FINITE ELEMENT METHOD
ANALYSIS OF REINFORCED AND PRESTRESSED CONCRETE SLABS BY FINITE ELEMENT METHOD
by
JIANPING JIANG, B.Sc. (Nanjing Institute of Technology, China)
A THESIS Submitted to the School of Graduate Studies in Partial Fulfilment of the Requirements for the Degree Master of Engineering
McMaster University May 1985
MASTER OF ENGINEERING
McMASTER UNIVERSITY
(1985)
(Civil Engineering and Engineering Mechanics)
Hamilton, Ontario Canada
TITLE:
ANALYSIS OF REINFORCED AND PRESTRESSED CONCRETE SLABS BY FINITE ELEMENT METHOD
AUTHOR:
Jianping Jiang
SUPERVISOR:
Dr. F.A. Mirza and Dr. R.G. Drysdale
NUMBER OF PAGES: x, 151.
ii
ABSTRACT
The finite element model, which includes the bond slip, dowel action and the tension stiffening effects in reinforced and prestressed concrete slabs, has been developed. Based on the previous investigations in this area, the emphasis of the present study is placed on investigating
the
influences
of
the
three
factors
above
on
the
predicted
response of the concrete slabs.
The bond slip and dowel action effects are modelled by interface elements which join the steel elements to the concrete elements and are able to transfer internal stresses from concrete to steel bar or vice versa.
Modelling of the tension stiffening effect is based on a frac-
ture mechanics approach.
The concept of this model is that an opposite
and equal magnitude of existing tensile stress which is equal to or greater than the tensile strength of concrete is applied to a newly cracked surface in order to eliminate the stress which was left on the new crack surface due to the smeared cracking model and to include the tension stiffening effect.
Two numerical examples of a simply supported reinforced concrete slab and a post-tensioned concrete deck are presented.
The results of
the examples are compared with the test '-' '·:'·~1'·-·· -,. '4.. -,~ .. '.A' .- . ' -' t ~