TY - GEN
T1 - Stability of statically indeterminate rock blocks under arbitrary loads
AU - Mauldon, M.
AU - Savage, G.
AU - Chou, K.
AU - Wu, Y.
AU - Ding, D.
N1 - Funding Information:
This research was funded in part by the National Science Foundation, Grant No. CMS-9503855. The authors are grateful for this support.
Publisher Copyright:
© 1999 Balkema, Rotterdam.
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:85058854003
SN - 9058090523
SN - 9789058090522
T3 - Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS)
SP - 1099
EP - 1105
BT - Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS)
A2 - Kranz, null
A2 - Smeallie, null
A2 - Scott, null
A2 - Amadei, null
PB - American Rock Mechanics Association (ARMA)
T2 - 37th U.S. Symposium on Rock Mechanics, Vail Rocks 1999
Y2 - 7 June 1999 through 9 June 1999
ER -