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·m²;

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

Boundary conditions:

Point 1: X = Z = UY = 0.

Loads:

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: