STATISTICAL METHODS IN THE NON-LINEAR THEORY OF ELASTIC SHELLS,
GENERAL DYNAMICS/ASTRONAUTICS SAN DIEGO CALIF
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The correct solution of the problem of hazardous loads may be obtained only by means of statistical methods. The considerable discrepancy between the experimental values of the critical loads is explained by the fact that the value of the latter is very sensitive to initial deformations, defects in the preparation and attachment, and to non-uniformities of loading, etc. In turn, the factors mentioned have an accidental character and are subject to some statistical laws. Knowing the laws of the distribution of these accidental factors, one can establish laws of the distribution of the parameters characteristic of the deformed state of the shell. The problem of the engineering calculation of the shell is then reduced to the determination of the load values at which the probability of buckling or of the hazardous state determined in any arbitrary sense does not exceed some previously established value for a given construction. The statistical approach serves also as a basis for the correct interpretation of the experimental results and of the tabulation of the results of different authors.
- Structural Engineering and Building Technology