Pinched Shell Cylindrical Problem
For ν=0.3\nu = 0.3 , R/t=100R/t = 100 , L/R=2L/R = 2 displacement under load is 164.24 P/(Et)164.24 \, P / (E t) .
References Lindberg, G. M. M., D. Olson, and G. R. Cowper, “New Developments in the Finite Element Analysis of Shells”, Quarterly Bulletin of the Division of Mechanical Engineering and the National Aeronautical Establishment, National Research Council of Canada, vol. 4, 1969.