Product: ABAQUS/Standard
A three-dimensional problem is shown here. It may 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:
25.0 at end A, 
100.0 at end B. Only 
, 
, and 
are applied for shell models.
Gauss integration is used for the shell cross-section for element STRI3.
Displacements in beam elements
= 1.667 × 10–5, 
= –1.333 × 10–3, 
= 0.01467 at node A,
= 4.92 × 10–3, 
= 5.2 × 10–3, 
= 1.2 × 10–3 at node
.
Stress resultants in beam elements
–25.0, 
25(1 – x), 
100 + 25(5 – 
), 
100.0.
Displacements in shell elements
1.667 × 10–5, 
0.01467 at node A, 
5.2 × 10–3 at node B.
Beam elements yield exact solutions. 3-node shell elements yield exact solutions for and 
but yield a value of 0.01412 for 
. 6-node shell elements yield exact solutions for and but yield a value of 0.01464 for .
B23 elements.
B23H elements.
B33 elements.
B33H elements.
STRI3 elements.
STRI65 elements.