Response-2000 References
What follows is a short description of the methods used in Response-2000 as well as information on where to find more information on the methods used in
the program.
Links
The following are some links relating to Response-2000.
Response-2000 Assumptions
The first assumption in Response-2000 is the traditional engineering beam
theory assumption that plane sections remain plane. This is appropriate for
beams and columns that are more than, perhaps, 4 times their depth. The
second assumption is that there is no significant transverse clamping stress
acting through the depth of the beam. This is also an appropriate assumption
for beams
that are of a similar length to that above and produces conservative results. That
is, if there is transverse clamping, the real strength of the beam will be
higher than that predicted by the program. The third assumption is that the
Modified Compression Field Theory (MCFT) can be used for biaxial stress-strain
behaviour throughout the depth of the beam.
Using these three assumptions, the generally well known fibre model of
sectional analysis is extended to include the effects of shear.
Definitive Information on Response-2000
- Bentz, E.C. "Sectional Analysis of Reinforced Concrete Members," PhD
Thesis, Department of Civil Engineering, University of Toronto, 2000, 310 pp.
Papers on the Modified Compression Field Theory:
- Vecchio, F.J., and Collins, M.P., "The Modified Compression Field Theory
for Reinforced Concrete Elements Subjected to Shear," ACI Journal,
Vol. 83, No. 2, Mar.-Apr. 1986, pp.219-231
- Collins, M.P., and Mitchell, D. Prestressed Concrete
Structures, Prentice Hall 1991.
Papers on Shear Distribution Method
The methods used in Response-2000 since version 0.7.8 are a new invention
that allow faster and more stable analyses than the previous state-of-the art,
which was called "Dual Section Analysis." The following two papers describe
this
previous state-of-the-art. Currently, the only description of the new method
is in the thesis, listed above. Papers are currently being prepared which will
make this information more available.
- Collins, M.P. "Reinforced Concrete in Combined Shear and Flexure," Proceedings of the
Mark W. Huggins Symposium, University of Toronto Press, 1978
- Vecchio, F.J. and Collins, M.P., "Predicting the Response of Reinforced Concrete Beams
Subjected to Shear Using the Modified Compression Field Theory",ACI Structural Journal, Vol. 85
No. 4, May-June 1988, pp. 258-268.