VM-WB-MECH-050

VM-WB-MECH-050
Cylindrical Shell Under Pressure

Overview

Reference:

Timoshenko, S. (1955). Strength of Material, Part I: Elementary Theory and Problems (3rd ed., pp. 45, Article 11). New York, NY: D. Van Nostrand Co., Inc.

Ugural, A. C., & Fenster, S. K. (1981). Advanced Strength and Applied Elasticity. Elsevier.

Solver(s):Ansys Mechanical
Analysis Type(s):Static Structural Analysis
Element Type(s):Axisymmetric Shell element

Test Case

A long cylindrical pressure vessel of mean diameter d and wall thickness t has closed ends and is subjected to an internal pressure P. Determine the axial stress σy and the hoop stress σz in the vessel at the mid-thickness of the wall.

An axial force of 5654866.8 lb ((Pπd2)/4) is applied to simulate the closed-end effect.

Figure 63: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
E = 3e7 psi
ν = 0.3
t = 1 in
d = 120 in
P = 500 psi (radial direction)

Analysis Assumptions and Modeling Notes for Ansys Mechanical

The following figure shows the finite element model for Ansys Mechanical:

Figure 64: Schematic for Ansys Mechanical

Schematic for Ansys Mechanical

Results Comparison for Ansys Mechanical

ResultsTargetMechanicalError (%)
Stressy (psi)15000150000
Stressz (psi)30000300020.007