N01: Tie Beam with Geometric Stiffening✔
- Gokhan Alkan (Unlicensed)
- Harika Inanc (Unlicensed)
A tie beam is subjected to the action of a tensile force and a uniform lateral load. The tensile force is 21,970 lb and the uniform lateral load is 1.79258 lb/in. The beam is steel and has a square section of 2.5 in by 2.5 in.
Determine the maximum deflection, maximum bending moment and the slope at the lefthand support. In this sample, the effect of geometric stiffening is included by using nonlinear static analysis and compare the results to those in problem 10 where the geometric nonlinearity is ignored.
The model has 9 joints and 8 beam elements. The tensile force is specified as an external force acting at joint 9. The uniform load is specified as an external beam loading.
Nonlinear static analysis is performed using one (1) load step and maximum of 20 iterations.
The nonlinear static analysis includes the geometric stiffening effect of the beam. For comparison of results to the linear static analysis, refer to the previous problem.
Tested Features
App
Object Link : https://openbrim.org/objid06or8s4fbjud7jfsw5jyiwh.project
Library
Object Link : https://openbrim.org/objidjkb7h8u193a9nmca4gu3rt.libobj
Sources
- Timoshenko, S., "Strength of Materials, Part II", 3rd Edition, D. Van Nostrand Co., Inc., New York, p. 42.
- LARSA 4D
Result Comparison
| Timoshenko | LARSA | Openbrim | Percent Difference LARSA vs. Timoshenko | Percent Difference Openbrim vs. Timoshenko | |
|---|---|---|---|---|---|
| Vertical disp at node 5 (in) | -0.200 | -0.1995 | -0.1996 | 0.25% | 0.2% |
| Rotation at jt 1 (rad) | -0.0032352 | -0.0032 | -0.0032 | 1.1% | 1.1% |
| Moment at i-end of beam 5 (in-Ib) | -4579.91 | -4580.0151 | 4580.4428 | 0% | 0% |