Тест 3.4 Cableway network
Verification of the LIRA-FEM software / Тест 3.4 Cableway network / Analytical solution: L. G. Dmitriev, A. V. Kasilov Cable Covers (Calculation and Construction), Publishing house "Budivelnik", Kiev, 1968, стр. 71 – 74.
Analytical solution: L. G. Dmitriev, A. V. Kasilov Cable Covers (Calculation and Construction), Publishing house "Budivelnik", Kiev, 1968, pp. 71 - 74.", Kiev, 1968, стр. 71 – 74.
Geometry:
 |
l = 2 м; F = 4.91 см2; points 1, 3, 5, 7, 9 and 11 0.5 m below the fixed points. |
Material characteristics: Е = 2 х 107 т/м2.
Boundary conditions: Points 2, 4, 6, 8, 10 and 12 are fixed.
Stresses: P7 = 1.5 т, P9 = 2 т, P11 = 3 т.
The structure was modeled by finite elements of the filament ( FE 310- filament), a total of 12 FEs.
(with concentrated forces, no additional crushing is necessary).
CALCULATION RESULTS:
|
Point |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
1 |
w1, м |
0,214 |
0,205 |
4,2 |
|
3 |
w3, м |
0,333 |
0,326 |
2,1 |
|
5 |
w5, м |
0,286 |
0,277 |
3,1 |
|
9 |
w9, м |
-0,143 |
-0,139 |
2,8 |
|
11 |
w11, м |
-0,191 |
-0,179 |
6,2 |
Note: The analytical solution was obtained assuming the absence of horizontal displacements. As a result of the calculation horizontal displacements are also obtained, which explains the difference between the calculation results and the analytical solution.
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