Transactions of the Architectural Institute of Japan
Online ISSN : 2433-0027
Print ISSN : 0387-1185
ISSN-L : 0387-1185
(12) LIMIT ANALYSIS OF SPHERICAL SHELLS WITH FIXED EDGE UNDER UNIFORM LOADING
Osamu Matsuoka
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1958 Volume 59 Pages 68-73

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Abstract
In this paper the author has discussed the load carrying capacity of spherical shells made of plastic-rigid material that follows Tresca's yield condition and the associated flow rule. The condition of uniform loading and the case of fixed support are considered herein. In kinematicolly admissible state two collapse modes are tried; the one flows in all over the shell, and the other flows locally near the edge. In statically admissible state two states, membrane and bending, are considered. According to the numerical calculation, it can't be says that the greatest staticolly admissible load is more frequently obtained from membrane state than from the bending state. The collapse mode and the state (membrane or bending), which give good results, are shown, and these results can be considered enough in practical use. In the yield condition between two resultant forces and a resultant moment, the method to decide the statically admissible load is shown.
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© 1958 Architectural Institute of Japan
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