1.3.32 Three-bar truss

Product: ABAQUS/Standard  

Elements tested

T2D2    T2D2H    T2D3    T2D3H    T3D2    T3D2H    T3D3    T3D3H   

FRAME2D    FRAME3D   

Problem description

Material:

Linear elastic, Young's modulus = 30.0 × 106.

Boundary conditions:

Nodes A, , and C are pinned.

Loading:

–10000.0.

Reference solution

–1.3711 × 10–2, 32907 in elements 1 and 3, 41134 in element 2.

Results and discussion

All elements yield exact solutions. Multi-point constraints are required to eliminate singularities in the three-node element tests using truss elements; e.g., T3D3.

The frame elements tested have rectangular cross-sections with the same cross-sectional area as the truss elements tested. The PINNED parameter is used on the *FRAME SECTION option to indicate that the frame elements have pinned connections at the joints. Since the frame elements are formulated in terms of section properties, stress output is not available; instead, the section forces are available. Stresses calculated from the axial force and the cross-sectional area match the stresses obtained from the truss element tests.

Input files

et22sfse.inp

T2D2 elements.

et22shse.inp

T2D2H elements.

et23sfse.inp

T2D3 elements.

et23shse.inp

T2D3H elements.

et32sfse.inp

T3D2 elements.

et32shse.inp

T3D2H elements.

et33sfse.inp

T3D3 elements.

et33shse.inp

T3D3H elements.

frame2d_3bar_pinned.inp

FRAME2D elements.

frame3d_3bar_pinned.inp

FRAME3D elements.