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.



Тест 3.4  Cableway network

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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