TEST CASE 6.1 CONSOLE ROD ON SINGLE-SIDED SUPPORTS
Reference:
А. В. Перельмутер, В. И. Сливкер. Расчётные модели сооружений и возможность их анализа, Киев: «Сталь», 2002, стр. 122.
Problem description:
A three-span beam is embedded at one end partially fixed via three rigid one-sided compressive supports. Rod is subjected to the action of concentrated located above the supports transverse forces F. Determine the reaction forces R and deflections of the beam w at one-sided supports installations.
Problem sketch:
Type of created problem:
Flat frame (X, Z, UY).
Geometric characteristics:
L = 2 m.
Material properties:
Bending stiffness: EI_{y} = 44.5 tf·m^{2};
Stiffness of one-sided links: EA/L = 1·10^{6} tf/m.
Boundary conditions:
Point 1: X = Z = UY = 0.
Loads:
F_{2} = 0.70707 tf;
F_{3} = -4.3597 tf;
F_{4} = 2.1155 tf.
Model description:
The system is modeled by 12 general finite elements of spatial bar (FE type is 10) and 3 physically nonlinear single-noded FE of one-sided inelastic links (FE type is 266). For nonlinear solution iterative process is used (number of steps is 1, minimum number of iterations is 10000).
Calculation results:
Target value |
Theoretical solution |
LIRA 10 |
Deviation, % |
R_{2}, tf |
3.7872 |
3.8597 |
1.91 |
R_{3}, tf |
0.00 |
0.00 |
0.00 |
R_{4}, tf |
-0.5302 |
-0.52698 |
0.61 |
w_{2}, m |
0.00 |
3.86·10^{-6} |
– |
w_{3}, m |
0.0772 |
0.0773 |
0.13 |
w_{4}, m |
0.00 |
-5.27·10^{-7} |
– |