Description
Planar truss consisting of four sloped members and one vertical member is loaded at the upper node by means of the vertical force Fz and out of plane force Fy. Assuming large deformation analysis and neglecting self-weight, determine the normal forces of the members and the out of plane displacement of the upper node uy. 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 | 0.296 | - | ||
| Geometry | Sloped Member IPE 300 | Height | h1 | 300.000 | mm |
| Width | b1 | 150 | mm | ||
| Web Thickness | tw | 7.100 | mm | ||
| Flange Thickness | tf | 6.708 | m | ||
| Length | L1 | 6.000 | m | ||
| Vertical Member QRO 120x5 | Side Length | b2 | 120.000 | mm | |
| Wall Thickness | s2 | 5.000 | mm | ||
| Length | L2 | 6.000 | m | ||
| Load | Out of Plane Force | Fy | 0.200 | kN | |
| Vertical Force | Fz | 24.000 | kN | ||
Analytical Solution
Analytical solution is not available. Results from software S3D are taken as reference.
RFEM and RSTAB Settings
- Modeled in version RFEM 5.26, RSTAB 8.26 and RFEM 6.01, RSTAB 9.01
- The element size is lFE = 0.600 m
- Large deformation analysis is considered
- The number of increments is 10
- Isotropic linear elastic material model is used
Results
02
RFEM results
| Displacement of the upper node uy [m] | S3D | RFEM 6 | Ratio | RSTAB 9 | Ratio |
| 0.082 | 0.083 | 0.988 | 0.083 | 0.0988 |
| Displacement of the upper node uy [m] | S3D | RFEM 5 | Ratio | RSTAB 8 | Ratio |
| 0.082 | 0.083 | 0.988 | 0.083 | 0.0988 |
| Normal Force N [kN] | S3D | RFEM 6 | Ratio | RSTAB 9 | Ratio |
| Upper Sloped Member | -3.7 | -3.4 | 1.088 | -3.5 | 1.057 |
| Lower Sloped Member | 23.0 | 23.2 | 0.991 | 23.2 | 0.991 |
| Vertical Member | -20.5 | -20.7 | 0.990 | -20.7 | 0.990 |
| Normal Force N [kN] | S3D | RFEM 5 | Ratio | RSTAB 8 | Ratio |
| Upper Sloped Member | -3.7 | -3.5 | 1.057 | -3.5 | 1.057 |
| Lower Sloped Member | 23.0 | 23.2 | 0.991 | 23.2 | 0.991 |
| Vertical Member | -20.5 | -20.6 | 0.995 | -20.7 | 0.990 |
