Design a cylindrical pressure vessel with diameter d 4 m

Question

Re-compute given Example when the lamina is subjected to σ₂ = -90 MP a, σ₆ = 90 MP a.

Example

Design a cylindrical pressure vessel with diameter d = 4 m, internal pressure p = 3.0 MP a, with a COV C_p = 0.10 to achieve a reliability R_e = 0.95 with respect to the burst pressure.

Use a coordinate system on the surface of the cylinder with the y-axis oriented in the hoop direction and the x-axis oriented along the length. Assume that the strength reported in Figures 1 -2 has a variability represented by COV C_F = 0.12.