Simply supported conical shells loaded by the central rigid boss with verti
cal load are considered. The thickness of the shell wall is assumed to be p
iece-wise constant with a finite number of jumps. The minimum weight design
of the shell is established under the condition that the load carrying cap
acity of the shell is given. The shell material is assumed to be an ideal r
igid-plastic one obeying the generalized diamond yield condition and associ
ated flow law. (C) 2000 Elsevier Science Ltd. All rights reserved.