Тест 1.7 Thor under internal pressure

Verification of the LIRA-SAPR software / Тест 1.7 Thor under internal pressure / Analytical solution: R.J. Roark et W.C. Young, Formulas for stress and strain, 5e edition, New York, McGraw-Hill, 1975.

Linear static problems for rod systems, plates and shells, three-dimensional problems

Analytical solution: R.J. Roark et W.C. Young, Formulas for stress and strain, 5e edition, New York, McGraw-Hill, 1975.

Geometry:

Pipe radius b = 1 м;
Radius a = 2 м;
Thickness h = 0.02 м.

Material characteristics: Е = 2.1 х 10¹¹ Па, ν = 0.3.

Boundary conditions: No fasteners.

Stresses : Distributed over the area p = 10000 Па.

CALCULATION RESULTS:

Point	The desired value	Analytical solution	Calculation results (LYRA)	Uncertainty ,%
" r	σ₂₂, Па	2,5 x 10⁵	2,45509 x 10⁵	1,8
r = a - b	σ₁₁, Па	7,5 x 10⁵	7,15745 x 10⁵	4,57
r = a - b	δr, м	1,19 x 10^-7	1,30845 x 10^-7	9,95
r = a + b	σ₁₁, Па	4,17 x 10⁵	4,08867 x 10⁵	1,95
r = a + b	δr, м	1,79 x 10^-6	1,832643 x 10^-6	2,33

Preview image: Array

Note: For the construction of the circuit we used FE 44 (quadrangular FE). Number of nodes:304. Number of elements:288.

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