1.3.10 Shear flexible beams and shells: II

Product: ABAQUS/Standard  

Elements tested

B21    B21H    B22    B22H    B31    B31H    B31OS    B31OSH    B32    B32H    B32OS    B32OSH   

PIPE21    PIPE21H    PIPE22    PIPE22H    PIPE31    PIPE31H    PIPE32    PIPE32H   

S4    S4R    S4R5    S8R    S8R5    S9R5    STRI65   

Problem description

A three-dimensional problem is shown here, which can be particularized for two-dimensional beam elements.

Material:

Linear elastic, Young's modulus = 30 × 106, Poisson's ratio = 0.3.

Boundary conditions:

at end A, at end B.

Loading:

100.0 at end B. Only is applied for shell models.

Reference solution

Displacements in regular beam elements

–8 × 10–3, 8 × 10–3 at end ,

4.92 × 10–3, 3.2 × 10–3, 3.2 × 10–3 at end B.

Displacements in open section beam elements

–6.02 × 10–2, .2 at end A,

8.0 × 10–2, 2.41 × 10–2 at end .

Displacements in pipe elements

–2.47 × 10–3, 2.47 × 10–3 at end A,

1.28 × 10–3, 9.87 × 10–4, 9.87 × 10–4 at end B.

Stress resultants in beam and pipe elements

0.0, 100, –100, 100.

Transverse shear = 0.0.

Displacements in shell elements

8 × 10–3 at node A, 3.2 × 10–3 at node B.

Results and discussion

All beam and shell elements yield exact solutions. Pipe elements yield the following solutions:

–2.475 × 10–3, 2.475 × 10–3 at end ,

1.287 × 10–3, 9.90 × 10–4, 9.90 × 10–4 at end B.

Input files

eb22rxs6.inp

B21 elements.

eb2hrxs6.inp

B21H elements.

eb23rxs6.inp

B22 elements.

eb2irxs6.inp

B22H elements.

eb32rxs6.inp

B31 elements.

eb32rxs7.inp

B31 elements with a nondefault value of slenderness compensation factor.

eb32rxs8.inp

B31 elements with an internally calculated slenderness compensation factor.

eb3hrxs6.inp

B31H elements.

ebo2ixs6.inp

B31OS elements.

ebohixs6.inp

B31OSH elements.

eb33rxs6.inp

B32 elements.

eb3irxs6.inp

B32H elements.

ebo3ixs6.inp

B32OS elements.

eboiixs6.inp

B32OSH elements.

ep22pxs6.inp

PIPE21 elements.

ep2hpxs6.inp

PIPE21H elements.

ep23pxs6.inp

PIPE22 elements.

ep2ipxs6.inp

PIPE22H elements.

ep32pxs6.inp

PIPE31 elements.

ep3hpxs6.inp

PIPE31H elements.

ep33pxs6.inp

PIPE32 elements.

ep3ipxs6.inp

PIPE32H elements.

ese4sxs6.inp

S4 elements.

esf4sxs6.inp

S4R elements.

es54sxs6.inp

S4R5 elements.

es68sxs6.inp

S8R elements.

es58sxs6.inp

S8R5 elements.

es59sxs6.inp

S9R5 elements.

es56sxs6.inp

STRI65 elements.