The paper presents a brief outline of an analytical and experimental procedure adopted for the generalized solution of bending of a uniformly loaded infinite flat plate structure, rigidly clamped in regularly spaced rectangular columns to form regular rectangular panels of slab. The complex variable method in conjunction with conformal transformation has been adopted for the analytical solution, the results of which are verified by model testing on the moiré apparatus. The close agreement between the compared theoretical and experimental results indicate that the analysis yields reliable results.
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References
1.
LeweV.‘Die Lüsung des Pilzdeckenproblems durch Fouriersche Reihen’, Bauingenieur19201, 631.
2.
Woinowsky-KriegerS.‘Beitrag zur Theorie der Pilzdecken’, Z. angew. Math. Mech.193414, 13.
3.
Woinowsky-KriegerS.‘On bending of a flat slab supported by square-shaped columns and clamped’, J. appl. Mech.195421, 263.
4.
GuptaK. K.‘Distribution of elastic moments in flat slabs with particular reference to lift slab structures’, Doctoral Thesis, London University, July 1965.
5.
MuskhelishviliN. I.Some basic problems of the mathematical theory of elasticity1963 (P. Noordhoff Ltd, Groningen, Holland).
6.
SavinG. N.Stress concentration around holes1961 (Pergamon Press, Oxford).
7.
SokolnikoffI. S.Mathematical theory of elasticity1956 (McGraw-Hill Book Company, New York).
8.
LigtenburgF. K.‘The moiré method, a new experimental method for the determination of moments in small slab models’, Proc. Soc. exp. Stress Analysis195412, 83.
9.
VreedenburghC. G.J.Van WijngaardenH.‘New progress in our knowledge about the moment distribution in flat slabs by means of the moiré method’, Proc. Soc. exp. Stress Analysis195412, 99.
10.
Structural models in Perspex, Cement and Concrete Association Publication DN/30 1963.
11.
HendryA. W.Elements of experimental stress analysis1964 (Pergamon Press, Oxford).
12.
TimoshenkoS. P.Woinowsky-KriegerS.Theory of plates and shells Second Edition 1959 (McGraw-Hill Book Company, New York).
13.
RajuB. B.‘A study of simply supported square plates by the moiré method and by finite differences’, M.S. Thesis, Michigan State University, 1958.
14.
BradleyW. A.‘The determination of moments and deflections in plates by the moiré method and by the finite differences with application to the square clamped plate with square cuts outs’, Doctoral Thesis, University of Michigan, 1956.
