Product: ABAQUS/Standard
B21 B21H B22 B22H B23 B23H B31 B31H B31OS B31OSH B32 B32H B32OS B32OSH B33 B33H
PIPE21 PIPE21H PIPE22 PIPE22H PIPE31 PIPE31H PIPE32 PIPE32H
Linear elastic, Young's modulus = 30 × 106.
Boundary conditions:
End A is clamped, 
at end C.
Loading:
25.0 at end C.
Section properties:
0.25, 
0, 
1.0 × 106, 
0.01041667.
For B23, B23H, B33, B33H, and STRI3 elements, different values of 
are used: vertical members, 
5.208 × 10–3, horizontal members, 1.0 × 10–6.
For pipe elements a circular cross-section of outer radius 0.5 and wall thickness 0.05 is used. Five pipe elements are used along segment AB. A single linear beam element is used along BC with section properties as defined above.
Normal definitions written to the output file by the analysis input file processor are all correct.
Displacements: 
.
For shear flexible elements properties have been defined such that the first term is negligible.
For Love-Kirchhoff (cubic) elements the second term does not apply.
| Element Type |  (ABAQUS) | (Analytical) |
|---|---|---|
| B21(H) | 5.098 × 10–5 | 5.098 × 10–5 |
| B22(H) | 5.098 × 10–5 | 5.098 × 10–5 |
| B23(H) | 6.662 × 10–3 | 6.667 × 10–3 |
| B31(H) | 5.098 × 10–5 | 5.098 × 10–5 |
| B31OS(H) | 5.098 × 10–5 | 5.098 × 10–5 |
| B32(H) | 5.098 × 10–5 | 5.098 × 10–5 |
| B32OS(H) | 5.098 × 10–5 | 5.098 × 10–5 |
| B33(H) | 6.662 × 10–3 | 6.667 × 10–3 |
| PIPE21(H) | 2.166 × 10–3 | 2.199 × 10–3 |
| PIPE22(H) | 2.167 × 10–3 | 2.199 ×10–3 |
| PIPE31(H) | 2.166 × 10–3 | 2.199 × 10–3 |
| PIPE32(H) | 2.167 × 10–3 | 2.199 × 10–3 |
| S4 | 5.098 × 10–5 | 5.098 × 10–5 |
| S4R | 5.098 × 10–5 | 5.098 × 10–5 |
| S4R5 | 5.098 × 10–5 | 5.098 × 10–5 |
| S8R | 5.098 × 10–5 | 5.098 × 10–5 |
| S8R5 | 5.098 × 10–5 | 5.098 × 10–5 |
| S9R5 | 5.098 × 10–5 | 5.098 × 10–5 |
STRI3  | 6.341 × 10–3 | 6.667 × 10–3 |
| STRI65 | 3.991 × 10–5 | 5.098 × 10–5 |
Due to the lack of symmetry for triangular meshes, the displacements at the nodes that are at point B differ slightly. The maximum values are documented here.
B21 elements.
B21H elements.
B22 elements.
B22H elements.
B23 elements.
B23H elements.
B31 elements.
B31H elements.
B31OS elements.
B31OSH elements.
B32 elements.
B32H elements.
B32OS elements.
B32OSH elements.
B33 elements.
B33H elements.
PIPE21 elements.
PIPE21H elements.
PIPE22 elements.
PIPE22H elements.
PIPE31 elements.
PIPE31H elements.
PIPE32 elements.
PIPE32H elements.
S4 elements.
S4R elements.
S4R5 elements.
S8R elements.
S8R5 elements.
S9R5 elements.
STRI3 elements.
STRI65 elements.