Calculus of variations applied to stability of slopes

Calculus of variations applied to stability of slopes

68A 77~132 CAST IN sITU BORED P ~ IN INDUSTRIAL CONSTRUCTION (IN RUSSIAN) Fedorov, B S Moscow: Strolizdat, 197~, 121P Discusses the changeover from ...

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68A

77~132 CAST IN sITU BORED P ~ IN INDUSTRIAL CONSTRUCTION (IN RUSSIAN) Fedorov, B S Moscow: Strolizdat, 197~, 121P

Discusses the changeover from pcesh-~aring to down-the-hole non-electric delayed b lastin~ at Kennecott's Ruth Pit in Nevada, reducing dax~ge to the slope snd thereby increasing its stability.

A collection of papers on the sUbject.

Slopes 77~133 CALCULUS OF VARIATIoNS APPLIED TO STABILITY OF SLOPES Revilla, J; Castillo, E Geotechnlque, V27, NI, 19T[, PI-II The method im~'esented allows the determination of the slip s u r f a c e glvln~ th~ minimum factor of safety without the neCessity for an initial assumption being _--~e about the shape of the failure surface. Factors of safety calculated by this method are shown to be sm~ller than those given by Ts~lor's stability charts for the cases analysed.

77~134 SLOPE STABILITY ANALYSIS AND DESIGN BASED ON PROBABILITY TECHNIQUES AT THE CASSIAE MINE Piteau, D R; Martin, D C CIM Bull, VTO, N779, March 1977, P139-150 This paper describes the open-pit studies relating to slope stability and deslgn of thin argillitic waste rocks which form the upper 70Oft of the i000- to ll00-ft-high hamglng-ws/_l slope. Analyses indicated that the likelihood of deep-seated failure in terms of slope angles which are geometrically possible was low. However, wedge failures on benches, which involve ei1~her whole or parts of the benches, were fo.zad to be of importance. Slope stsbility analyses and related slope des~4~n were based essentially on evaluating the geometry of the potential wedge failures in terms of the probability of o".curence of ~ust~ble wedge failures which could spill over the harms. Probability theory is developed and applied in such a way T.hat the possibility of benches on the slope becomln~ ineffective is evaluated and related to over-all slope design. The probability of possible wedge failures spilling over berms of various widths a which are a function of the bench geometry, geometry of the possible failure, over-all slope angle and angle of repose Of material involved in the possible wedge failures, is considered. 774135 STABILITY COEFFICII~S FOR SIDEHILL BENCHES Hu~ng, Y H J Geotech Engng Div ASCE, VI03, NGTS, 1977, P~67-~81 Tables of stability coefficients are presented for determining ap~roxlmately the factor of safety of sidahill benches and embankments on a horizontal g r o u n d surface. The s o i l i n t h e bench or embankment may have different properties from those of the natural ground. The procedure is based on normal effective stress analysis and is unique in that a large number of factors are considered but only a limited number of tables is n.-~ded. Examples are given to illustrate the s~plication of these tables. 77~136 K~%qIECOT~'S D~.AYED BLASTING TECHNIQUE CUTS COSTS, IMPROVES PIT STABILITY Dimock, R R; Clayton, G D Min ~hgng, V29, N%, April 1977, P37-~0

774137 PRELIMINARY DATA COLLECTION FOR FIT SLOPE DESI3N Call, R D; Savely, J P; Nicholas, D E Min ~h~ng, V29, Nh, April 1977, Ph5-h7 Briefly discusses data collection in the following areas: geology, drilling, and surface hydrology, 8nd refers to instability in operating mines where data in the following areas is useful: slide geometry and displacement, geology, hydrology and mine planning. Gives a checklist for slop~ stability dKta. 774138 PIT SLOPE MANUAL, SUPPLemENT 3-I. LABORATORY CLASSIFICATION TESTS Gyenge, M; Herget, G Canada Centre for Mineral and Energy Technology (CANMET) report 77-25, May 1977, 31P Tests for physical properties, index properties and uniaxial strength of the rock sUbstance are described. These tests are used mainly for classification; uniaxial strength m~y be used directly in stability analysis. The water content test is based on accurate weighing of a rock sample before and after oven drying. Porosity is determined by measuring the displacement in water of a sample sealed with paraffin wax. Swelling pressure and swelling strain indexes are measured in an apparatus similar to the soil consolidation test machine. The slake durability index measures the disintegration of a sample when agitated during two cycles of drying and wetting. Uniaxial strength and failure strain are determined from stress.straln measuremantm while loading to failure. The point load strength index is measured in an apparatus that sUbjects the specimen to opposed point loads. Tensile strength is determined from the Brazilian test. Auth. Avail: CANMET, 555 Booth St, Ottawa, Canada, KIA OG1 774139 PIT SLOPE MANUAL, SUPPLemENT 3-2. LABORATORY TESTS FOR DESIGN PARAMET~S Gyemge, M; Herget, G Canada Centre for Mineral and Energy Technology (CANMET), report 77-26, May 1977, 7hP Describes tests to determine str~-th and elastic properties of rock sUbstance and of discontinuities in rock. Elastic modulus and Poisson's ratio are determined from stressstrain measurements during tmlaxial compression. The ultrascmlc elastic constants are determined from measurments of sound velocity. Triexial compressive strength is determined by loading a cylindrical sample axially and laterally. Residual angle of friction of rock specimens is determined from shear strength measurements along a sawcut pl~e. Discontinuity shear stremgths are determined by the direct shear test, and by triaxlal testing. Strength properties of crushed rock are determined by triaxlal testing. Time dependent deformation and strength properties of rock specim~gm_ are determined by long-term uniaxlal compressive tests. Auth. Avail: CANMET, 555 Booth Street, Ottawa, Canada, KIA OGI