2. Benchmark solution

2.1. Calculation method used for the reference solution

Axial stress: \({\sigma }_{11}=\frac{q}{h}\)

Circumferential stress: \({\sigma }_{22}=0\)

Cylinder elongation: \({U}_{x}=\frac{\mathrm{qL}}{\mathrm{Eh}}\)

Radial displacement: \({U}_{r}=-\frac{q\nu {R}_{0}}{\mathrm{Eh}}\)

2.2. Benchmark results

\({\sigma }_{11}=5\times {10}^{5}\mathrm{Pa}\)

\({U}_{x}=9.52\times {10}^{-6}m\)

\({U}_{r}=–7.14\times {10}^{-7}m\)

2.3. Uncertainty about the solution

Analytical solution.

2.4. Bibliographical reference

1. Guide VPCS — 1990 edition (SSLS 07/89)

2. R.J. ROARK and W.C. YOUNG: Formulas for stress and strain, 5th edition, New York, McGraw-Hill, 1975