Sommario
Si descrivono metodi stocastici di soluzione per problemi quasi statici nella mcccanica dei continui elastici con particolare riguardo a lastre di cemento. L'approccio elastostatico dimostra la sintesi dei sistemi per mezzo della tecnica di Monte Carlo e permette l'introduzione sia di metodi di riduzione di varianza sia di correlazione seriale ed incrociata di densità probabilistiche per i carichi, la risposta dei materiali, ecc..
Summary
Stochastic methods of solution are described for quasistatic problems in elastic continuum mechanics with particular reference to concrete slabs. The elastostatic approach demonstrates system synthesis via the Monte Carlo technique and permits incorporation of variance reducing methods as well as serial — and cross — correlation of probabilistic density functions for loading, material response, etc.
References
F. Moses andD. Kinser,Analysis of Structural Reliability, Proc. A.S.C.E., V. 93, N. ST 5, October 1967.
American Society of Civil Engineers,Recent Needs in Structural Engineering For the Decade 1966–75, Report of Committee for Research, Struct. Div., A.S.C.E., Proc., V. 92, N. ST 5, October 1966.
R. Warner andA. Kabaila,Monte Carlo Study of Structural Safety, Proc. A.S.C.E., V. 94, N. ST 12, pp. 2847–2859, December 1968.
M. Muspratt,Statistical Approach to Relaxation Testing of Alloy Steel Bars, Institution of Engineers (India), V. 49, no. 5, Pt. ME 3, pp. 176–180, Jan. 1969.
E. Haugen,Probabilistic Approaches to Design, J. Wiley & Son, New York, p. 323, 1968.
H. Meyer,Symposium on Monte Carlo Methods, J. Wiley & Son, New York, p. 382, 1963.
F. Moses,Analysis of Structural Reliability, Proc. A.S.C.E., V. 93, N. ST 5, pp. 147–164, October 1967.
A. Ang,Reliability of Structures and Structural Systems, Proc. A.S.C.E., V. 94, N. EM 2, pp. 671–691, April 1968.
A. Rotenberg,A New Pseudo-Random Number Generator, J. ACM, V. 7, pp. 75–77, 1960.
M. Abramowitz andStegun I.,Handbook of Mathematical-Functions, Dover, New York, p. 1046, 1965.
T. Naylor, J. Balintfy, D. Burdick andK. Chu,Computer Simulation Techniques, J. Wiley & Son, New York, p. 352, 1966.
J. Hammersley andD. Handscomb,Monte Carlo Methods, Methuen & Son, London, 1964.
E. Gumbel,Statistics of Extremes, Columbia University Press, New York, p. 375, 1960.
G. Hahn andShapiro S.,Statistical Methods in Engineering, J. Wiley & Son, New York, p. 355, 1967.
A. Freudenthal, J. Garrelts andM. Shinozuka,The Analysis of Structural Safety, Proc. A.S.C.E., V. 92, N. ST 1, pp. 267–325, February, 1966.
M. Katz,The Probability in the Tail of a Distribution, Ann. Math. Stats., V. 34, pp. 312–318, 1963.
A. Hasofer,Statistical Models For Live Floor Loads, Proc. A.S.C.E., V. 94, N. ST 10, pp. 2183–2196, October 1968.
W. Cochran andG. Cox,Experimental Design, J. Wiley & Son, New York, 1957.
M. Muspratt,Stochastic plastic analysis of a shell, Intl. J. Num. Methods in Eng., V. 4, no. 3, pp. 345–355, May–June, 1972.
V. Nalimov andN. Chernova,Statistical Methods for Design of Extremal Experiments, Nauka, Moscow, 1965.
S. Timoshenko andS. Woinowsky-Kreiger,Theory of Plates and Shells, McGraw-Hill, New York, p. 580, 1959.
A. Freudenthal,Safety, Reliability and Structural Design, Proc. A.S.C.E., V. 87, N. ST 3, pp. 1–16, March 1961.
J. Benjamin,Probabilistic Structural Analysis and Design, Proc. A.S.C.E., V. 94, N. ST 7, pp. 1665–1679, July 1968.
C. Cornell,Bounds on the Reliability of Structural Analysis, Proc. A.S.C.E., V. 93, N. ST 1, pp. 171–200, February 1967.
A. Neville,Properties of Concrete, Pitman, London, p. 532, 1963.
M. Fiering,Multivariate Techniques for Synthetic Hydrology. Proc. A.S.C.E., V. 90, N. HY 5, pp. 43–60, September 1964.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Muspratt, M.A. Stochastic methods for floor slab analysis. Meccanica 9, 36–42 (1974). https://doi.org/10.1007/BF02154420
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02154420