L10: Tie Beam without 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 lbs and the uniform lateral load is 1.79253 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.
Significance of geometric stiffening becomes evident when the results of problems 10 and 11 are compared.
The model used has 9 joints and 8 beam elements. The tensile force is specified as an external joint force acting at joint 9. The uniform load is specified as an external beam loading.
The data given for the problem is:
The linear static analysis ignores the geometric stiffening effect of the beam. For comparison of the results to the nonlinear static analysis, refer to Problem 11.
Tested Features
App
Object Link : https://openbrim.org/objidalxbiae7w7hoiilf7q5is9.project
Library
Object Link : https://openbrim.org/objidfjqp0yyvkbux94dqmo37eb.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 jt 5 (in) | -0.382406 | -0.3824 | -0.3824 | 0% | 0% |
| Rotation at jt 1 (rad) | -0.0061185 | -0.0061 | -0.0061 | 0.3% | 0.3% |
| Moment at i-end of beam 5 (in-Ib) | -8962.65 | -8962.6504 | 8962.5023 | 0% | 0% |