Abstract
The paper applies a new method based on block theory, stress analysis and linear programming to study the stability of a statically indeterminate 2-d block under arbitrary loads. The stability of keyblocks subjected to a range of directions of a fictitious loading or support force is analyzed using linear programming. Based on this optimization procedure, a keyblock can be classified as stable, unstable or potentially unstable. The range of loading force where a keyblock may be potentially unstable (uncertainty in stability) is affected by the indeterminacy of the force system and the angle of applied load. For a wide range of applied load angles, the uncertainty is small. Hence, the technique presented here would provide useful results for design.
| Original language | English (US) |
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| Title of host publication | Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS) |
| Editors | Kranz, Smeallie, Scott, Amadei |
| Publisher | American Rock Mechanics Association (ARMA) |
| Pages | 1099-1105 |
| Number of pages | 7 |
| ISBN (Print) | 9058090523, 9789058090522 |
| State | Published - 1999 |
| Externally published | Yes |
| Event | 37th U.S. Symposium on Rock Mechanics, Vail Rocks 1999 - Vail, United States Duration: Jun 7 1999 → Jun 9 1999 |
Publication series
| Name | Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS) |
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Conference
| Conference | 37th U.S. Symposium on Rock Mechanics, Vail Rocks 1999 |
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| Country/Territory | United States |
| City | Vail |
| Period | 6/7/99 → 6/9/99 |
Funding
This research was funded in part by the National Science Foundation, Grant No. CMS-9503855. The authors are grateful for this support.
ASJC Scopus subject areas
- Geochemistry and Petrology
- Geophysics