 Computer - aided design (CAD)
Register   #### 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: EIy = 44.5 tf·m2;

Stiffness of one-sided links: EA/L = 1·106 tf/m.

Boundary conditions:

Point 1: X = Z = UY = 0.

F2 = 0.70707 tf;

F3 = -4.3597 tf;

F4 = 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, % R2, tf 3.7872 3.8597 1.91 R3, tf 0.00 0.00 0.00 R4, tf -0.5302 -0.52698 0.61 w2, m 0.00 3.86·10-6 – w3, m 0.0772 0.0773 0.13 w4, m 0.00 -5.27·10-7 –