L01: 2D Truss with Static Loads✔
This is a two-dimensional truss support. The truss structure consists of two steel truss bars and is subjected to a vertical load of P. Ignore the self-weight of the elements. Determine the force in each bar and the vertical deflection at the point of the applied load.
The 2-D model consists of 3 joints and 2 truss elements. The joints 1 and 3 are pin supports. The truss structure is modeled in the XZplane. All rotational degrees of freedom and the translational displacement in the Global Y-direction are eliminated from the analysis.
The material property data is given:
and sectional property data:
The vertical load of 5000 lb is applied in the negative Global Z-direction at joint 2.
Linear static analysis with one load case is performed.
Tested Features
App
Object Link: https://openbrim.org/objidef0xsj2bg5tod3lq6dc7qm.project
Library
Object Link: https://openbrim.org/objiduy34iglmdhhsox6bftivt.libobj
Sources
- Timoshenko, S., Strength of Materials Part I, D. Van Nostrand Co., 1955, p.10.
- LARSA 4D
Result Comparison
Output Parameters | Independent (Timoshenko) | Larsa | OpenBrIM | Percent Difference (Larsa vs Independent) | Percent Difference (OpenBrıIM vs Independent) |
---|---|---|---|---|---|
Axial Force @ I-end (kip) | 5 (Tension) | -5 | 5 (Tension) | 0% | 0% |
Vertical Deflection @ 2(in) | 0.12 (Down) | -0.12 | -0.12 | 0% | 0% |