Hoop Stress in Thin-Walled Pressure Vessel

Description

Determine the hoop stress in a thin-walled pressure vessel under uniform radial pressure of magnitude 100 psi. The radius and thickness of the pressure vessel are 1" and 0.01" respectively.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_28.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 0.01 in - Thin formulation.

Material Properties

Alloy Steel.

Modeling Hints

Due to symmetry, only a quarter of the model is considered.

Results

 

Theory

SOLIDWORKS Simulation
Membrane Stress (SY with reference to Axis1), psi 10000 10000

Analytical Solution

SY = q R / t

where:
  • q: Uniform radial pressure
  • R: Radius of curvature of a circumference
  • t: Vessel thickness

Reference

Young, Y. C. and Budynas, R. G., “Roark’s Formulas for Stress and Strain”, 7th Edition, Page 592, Table 13.1, Item 1b.