3. Modeling A#

3.1. Characteristics of modeling#

Beam elements POU_D_T (Timoshenko’s right beam)

_images/100007DC000016D700000DBF5A7D5AEDA5D9F0DB.svg

Cutting: 10 beam elements

node \(A\): translations to \(x\) and \(y\) blocked

node \(B\): translation to \(y\) blocked.

Note:

Force \(P\) applied in \(B\) generates a reaction \(-P\) in \(A\) .

3.2. Characteristics of the mesh#

Number of knots:

21

Number of meshes and types:

20 SEG2

3.3. Tested sizes and results#

Pre-constrained/clean mode order

Reference

\(P=0\) 1

4.97137

2

19.8851

3

44.7414

4

79.5403

5

124.2818

\(P=10\) 1

5.0728

2

19.9874

3

44.8439

4

79.6429

5

124.3844

\(P=100\) 1

5.9090

2

20.8860

3

45.7561

4

80.5600

5

125.3037

\(P=1000\) 1

11.2577

2

28.3462

3

54.0370

4

89.2134

5

134.1511