Description
A structure made of I-profile trusses is supported on the both ends by the spring sliding supports and loaded by the transversal forces according to the following sketch. The problem is described by the following set of parameters. The verification example is based on the example introduced by Gensichen and Lumpe (see the reference).
| Material | Steel | Modulus of Elasticity | E | 210000.000 | MPa |
| Poisson's Ratio | ν | 0.300 | - | ||
| Geometry | Structure | Section Length 1 | L1 | 2.000 | m |
| Section Length 2 | L2 | 4.000 | m | ||
| Section Length 3 | L3 | 4.000 | m | ||
| Section Height 1 | h1 | 0.130 | m | ||
| Section Height 2 | h2 | 0.520 | m | ||
| Cross-section | Height | h | 400.000 | mm | |
| Width | b | 180.000 | mm | ||
| Web Thickness | s | 10.000 | mm | ||
| Flange Thickness | t | 14.000 | mm | ||
| Load | Transversal Force | F1 | 10.000 | kN | |
| Spring Stiffness | cu,X | 84000.000 | kN/m | ||
The self-weight is neglected in this example. Determine the deflection of the structure at point 1 (uz1), the bending moment at point 2 (My2) , the normal force in the truss N and horizontal deflection of the spring support at point 3 (ux3).
Analytical Solution
Analytical solution is not available. Results from software S3D are taken as reference.
RFEM and RSTAB Settings
- Modeled in RFEM 5.26, RSTAB 8.26 and RFEM 6.01, RSTAB 9.01
- The element size is lFE = 0.200 m
- The number of increments is 5
- Isotropic linear elastic material model is used
- The structure is modeled using members (Trusses)
- Shear stiffness of the members is neglected
- Large deformation analysis is used
Results
| Quantity | S3D | RFEM 6 | Ratio | RSTAB 9 | Ratio |
| uz1 [mm] | 53.8 | 53.6 | 0.996 | 53.7 | 0.998 |
| My2 [kNm] | 41.0 | 41.0 | 1.000 | 41.0 | 1.000 |
| N [N] | -209.0 | -208.4 | 0.997 | -208.6 | 0.998 |
| ux3 [mm] | 2.47 | 2.47 | 1.000 | 2.47 | 1.000 |
| Quantity | S3D | RFEM 5 | Ratio | RSTAB 8 | Ratio |
| uz1 [mm] | 53.8 | 53.7 | 0.998 | 53.8 | 1.000 |
| My2 [kNm] | 41.0 | 41.0 | 1.000 | 41.0 | 1.000 |
| N [N] | -209.0 | -208.4 | 0.997 | -208.6 | 0.998 |
| ux3 [mm] | 2.47 | 2.47 | 1.000 | 2.47 | 1.000 |
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