Search Documents

By Rudolf Kvapil

INTRODUCTION Sublevel mining is a mass mining method based upon the utilization of gravity flow of the blasted ore and the caved overlying waste rock mass. As with any other mining method, sublevel caving has advantages and dis¬advantages which must be carefully considered and evaluated. The major advantages of sublevel caving are dis¬cussed as follows: Because all of the mining activities are executed in or from relatively small openings, sublevel caving is one of the safest mining methods. Drifts, which are the pri¬mary working places, are distributed in a uniform pat¬tern on all levels. Normally the maximum dimensions of the sublevel drifts are about 5 m wide and 3.7 m high. The transportation drifts can have the same section, or the height may be increased to about 4.5 m when trucks are loaded in the transport drifts. The stability and safety of such drifts in competent rock can be easily controlled by smooth blasting or by a combination of smooth blasting with shotcreting. In less competent rock masses, stability can be achieved by combined reinforc¬ing, for example, by a combination of smooth blasting, shotcreting, and rockbolting. The major mining activities can be broken down into three groups: drifting and reinforcing; ore fragmenta¬tion, i.e., production drilling and blasting; and ore draw¬ing, loading, and transportation, and all are relatively simple. Because of the repetitive nature of the mining system, one can standardize almost completely all min¬ing activities. This means that a high degree of work efficiency can be achieved. Because the components of mining production in sublevel caving can be standardized, a high degree of mechanization is possible. In modern sublevel caving the sections of drifts and tunnels are sufficiently large to allow the introduction of large trackless mining equip¬ment. The advantages of a trackless system can be then broadly utilized not only for direct mining but also for all services, including the transportation of mining per¬sonnel to the working place. The flexibility of mining is very good. Standardiza¬tion and specialization of mining activities and equip¬ment on separate levels (lower level or levels in de¬velopment, upper level or levels in production mining) together with the trackless system yield a high degree of flexibility. This allows a rapid start-up of mining and good flexibility in making production rate changes. The method lends itself to good work concentration, organization, and working conditions. Normally, on the lower levels, various phases of development are under¬way. Upper levels are in various stages of extraction. Therefore the work can be easily organized into a sys¬tem which excludes interference between mining activi¬ties. Safety of mining (in small dimension openings), good work organization, high mechanization using large modern mining equipment, etc., comprise very good working conditions. Naturally such a system enables a high work concentration and rationalization of separate specialized mining activities and therefore mining by sublevel caving can be effective and relatively in¬expensive. The major disadvantages of sublevel caving, on the other hand, are: There is a relatively high dilution of the ore by caved waste. Various types of ore loss can occur. When the ex¬traction limit (that point yielding the maximum accept¬able amount of dilution) is reached, the remaining highly diluted ore represents an ore loss. Some ore is lost in passive zones located on the level of extraction between the active zones of the gravity flow. Part of the ore from these passive zones can be recovered together with ore extraction on the lower sublevel, but some un¬diluted and often not fragmented ore located in passive zones above the plane of the footwall is lost. In gen¬eral, these losses are larger as the inclination of the ore body and the footwall is reduced. A relatively large amount of development is re¬quired. This includes transport drifts, usually located in the footwall waste rock on each sublevel, and sub¬level drifts, which connect the active mining areas to the transport drifts and as a result are partially in ore and partially in the waste rock of the footwall. The waste rock length increases as the inclination of the ore body and footwall decreases. It also includes orepasses, used for transport of the ore or waste from the separate sublevels downward to the main haulage level, and normally driven in waste; and inclined drifts or tunnels, which provide a connection for the trackless equipment between the main haulage level and the separate sublevels and are driven in waste. Finally there is the de¬struction of the surface through subsidence. To maximize the ore recovery, minimize the dilu¬tion, and achieve a high efficiency of mining by sub¬level caving, good data regarding the gravity flow pa¬rameters for the blasted ore and the caved waste are of utmost importance. The exact type and amount of data required depend upon the purpose and needs of the study. For the first feasibility study, it may be sufficient to utilize the data from other sublevel caving operations with similar conditions and circumstances. For any higher level of mine planning it is clear that more exact data, including analytical and experimental analyses up to full-scale in-situ testing, are necessary. Basic gravity flow principles and design guidelines for the application of the sublevel caving mining method are presented in the following sections. Although some¬what simplified, they should provide a basis for mine planning and operation. The gravity flow principles described can be effectively applied to other mining situations, with some modification. Also, steep dipping coal seams can be effectively mined by modified sub¬level caving.

Jan 1, 1982

By William R. Wayment, Wayne S. Cusitar

INTRODUCTION The process of mining removes valuable and eco¬nomically recoverable minerals from the earth. In the case of hard-rock mining, this process involves breaking and removing ore, while leaving the waste rock or host rock as intact as possible. Prior to mining, ground stresses exist in the ore and the host rock as a result of weight and tectonic forces; for the purposes of this chapter, the ore is considered to support the host rock on both the hanging and footwall sides. Two basic phenomena accompany mining. First, the hanging walls and footwalls tend to move together as the ore is removed. Second, high stress gradients de¬velop in the rock periphery of the opening; the magni¬tudes of the stress gradients vary widely, depending upon the local geometry and conditions. At various times, mining methods have used square¬set timbers, waste-rock backfill, alluvial sand fill, and tailings backfill materials, with or without cement, to replace the loss of support caused by the removal of the ore. Cut-and-fill mining has evolved to use hydraulically placed tailings for the backfill. In the stope, this fill provides massive support to the walls, thereby reducing stresses in the back. It also provides a floor from which men and machines can work to drill and blast, to haul ore, and to scale and bolt the back. In many cases, the addition of cement provides a competent free-standing wall when the fill is exposed during mining of adjacent stopes or during pillar recovery operations. In most cases, the use of fill does not eliminate standard tem¬porary or local roof control measures such as roof bolts and wire mesh. Fill Characteristics It is important that backfill used for ground support be of maximum stiffness in relation to wall closure. The stiffness of the fill is related to its placement bulk density or void ratio. In the case of cemented tailings, this is enhanced by the cement bonds. During stope closure, individual fill particles experience rotation and crushing at point contacts, but they are subject to little relative translation. The stiffness approaches infinity as the void ratio approaches zero, until the ground forces reach equilibrium, and closure stops. The gradation of particle sizes and minimal segregation resulting from good hy¬draulic placement both contribute to a high degree of early stiffness in the closure history of classified tailings backfill. This also implies that the fill should be resistant to creeping under high static loads. All mines experience shock loading situations such as blasting, and many mines experience rock bursts that can apply sudden and very high loads to the fill. Certain conditions of void ratio, particle size, and moisture con¬tent can result in mass fluidization of unconsolidated fill during such shock loading. Two key factors in avoid¬ing fluid behavior are the provision of a well-drained fill through desliming or classification and the achievement of a small degree of consolidation through the addition of cement in ratios as lean as 40 to 1 (2.4% cement). The acceptance of classified mill tailings as backfill material has been enhanced by its relative economy, including its source, preparation, delivery, and stope distribution. Transportation from the backfill prepara¬tion plant on the surface into the stope usually can be accomplished with low power consumption, with low labor costs, with few capital costs, and at high tonnage rates. An additional benefit is a reduction of the storage volume required for surface disposal of the tailings stream, with a resultant improvement in the environ¬ment. The costs of placing cemented tailings backfill generally range from $1.65 to $6.61/t ($1.50 to $6.00 per st) of fill depending upon the cement ratio used. Scope This chapter examines a major backfill program at a mine and mill complex where the backfill facilities are included as a part of the original planning. The backfill preparation plant is intended to make maximum use of remote controls and automation. The logistics asso¬ciated with material storage, handling, and metering in the plant are outlined. Important considerations in specifying equipment for typical service conditions are discussed. The fill delivery system is described, includ¬ing the boreholes, level lines, and stope distribution lines. Stope preparations for fill confinement and drain¬age are described, as are the techniques of placement and distribution. Methods of controlling and directing the flow of drainage water and slimes are presented, along with the facilities and equipment for clarification, pumping, and sludge removal. As shown in Fig. 1, the fill program encompasses most aspects of the mining and refining facilities, so the discussion is brief in each area. The preparation of backfill of a uniform and con¬trollable quality is presented here as a material handling problem. The balance of the presentation concentrates on the logic of the system, the costs where meaningful (in 1977 US $ unless otherwise specified), and some operating "tricks" that have contributed to system per¬formance and reliability. SURFACE PREPARATION PLANT A backfill preparation plant is required on the surface. This plant generates suitable fill material from the stream of mill tailings. Among the functions of the plant are: 1) Slimes are removed to improve the percolation characteristics of the fill; typically, particles finer than 325 mesh are removed from the tailings. 2) Tailings and sand storages are provided so that the steady stream of tailings produced by the mill can be accepted. Provision is made to accommodate the cyclic high-volume demand from the mine. 3) The plant stores the cement and contains meter¬ing and mixing facilities to provide fill of a controllable and uniform quality. 4) The hydraulic backfill delivery system is a part

Jan 1, 1982

23.1-SOURCE, POWER-SYSTEM ELEMENTS A. J. T HUM Basic considerations in providing power for mine production and collateral operations are: 1. Mining operations of any size normally use electric motors for driving all equipment except mobile service units. 2. The electricity for power may be purchased or self-generated, depending on the location, size and specific operating circumstances of the individual property. 3. The major elements of the power system will be the source, either an incoming transmission line from a utility in the case of purchased power or the power plant if self-generated. Energy for the power plant may be water, hydrocarbon fuels, waste heat or nuclear, which will govern the type of prime mover selected. 4. The electricity normally is generated in the form of alternating current and must be distributed to the points of usage. This usually requires a primary substation for transformation to suitable voltages and secondary substations at points of usage throughout the operations, The power is delivered from the primary to the secondary substations over transmission lines or cables, depending on distances, voltages and local conditions. 5. At the points of use, there will be starting and protective devices for each motor. In some instances, direct current will be needed and rectifiers of various types can be used to provide it. 6. The entire electrical system requires suitable switching and protective devices to prevent damage to the equipment in case of power failues or faults; also, in most cases, sufficient metering to establish the demand and amount of electrical energy consumed. 23.2-PURCHASED POWER A. J. THULI 1. Where public-utility or government-generated power is available, it usually is advantageous for the mine owner to purchase rather than generate. Purchased power generally will be cheaper and more reliable than operating a small generating plant except in some cases where waste heat is available as the source of energy and can be used to supply all or a portion of the power requirements. 2. If it is decided to purchase power, the owner usually must participate in the cost of constructing the connecting line from the closest existing utility line to his point of usage. If the connected load is less than 1,000 lip, it probably is best to let the utility provide the primary substation. For larger connected loads the owner can obtain a more favorable "primary voltage" rate if he provides the primary substation to receive the incoming power and transform it to the distributing and usage voltages. 3. The cost of purchased power usually is made up of a demand charge, deter¬mined by the maximum amount of power the customer takes during any 15-min period throughout a month, and a graduated energy charge for the kilowatt-hours consumed-that is, so much for the first block of energy based on the demand,

Jan 1, 1973

By Pierre Ollivier, Dominique Morin

A general study of gold refractory arsenopyrite pyrite concentrate bioleaching has been carried out including two continuous bioleach testworks at different sizes, namely one at a laboratory scale with a 100 1 unit at a 2 kg/d dry solid flowrate and the other at a pilot scale at a 100 kg/d dry solid flowrate. Both tests show a 80% bioleaching of arsenopyrite in about four days of treatment and with the same kinetic. Pyrrhotite is attacked at the earlier stage of the bioleaching but pyrite remains unaffected. The weak potential of oxidation associated with the decomposition of arsenopyrite and the abundance of arsenite leads to a high grade of elemental sulfur in the bioresidue which consumes the major part of the cyanide during the gold recovery, furthermore, the arsenite and ferrous produced in solution have to he oxidized to obtain a stable precipitate in the waste products and as outlined in previous works of other authors on this subject the addition of iron to obtain a Fe/As molar ratio at least above 3 is necessary. The agitation equipment used in the pilot unit allowed an optimisation study calculation for scaling-up the design and power requirements of an industrial installation, For the pretreatment of a gold refractory As high-graded concentrate the reagent cost has the greatest part in the operating cost of the biooxidation step due to the necessary retreatment of the biosolution, In that conditions the power cost is quite marginal, actually it is significant for the treatment of pure pyrite.

Jan 1, 1990

By L. Micale

In May of 1986, the Arizona Legislature passed comprehensive environ-mental legislation called the Environmental Quality Act (the Act). The Act focuses on ground water protection and addresses drinking water quality, aquifer protection standards, requirements to apply technology to reduce discharges, and a state Superfund program.

Jan 1, 1988

By L. P. Meade

The particular impact of imported industrial minerals varies within the Industry and is dependent upon many diverse factors. In a similar way, the impact on individuals has been varied and the degree of impact will depend partially on the individual's ability to handle change. Just as many corporations are adjusting their marketing strategy and production methods to compensate for imported mineral products; individual managers, mining engineers and geologists are making adjustments to their own personal job marketing techniques and on-the-job operating procedures. Modifying the degree of impact for both industry and individuals depends upon the ability to adapt.

Jan 1, 1988

By W. S. Sadik

This paper presents the ventilation design for an underground testing facility in a salt medium. The underground workings consist of two-12 ft. (3.66 m) diameter watertight shafts and approximately 6000 ft. (1830 m) plus of drifting. These facilities are designed for the purpose of providing access for an in-situ testing of a salt horizon in which a variety of hazardous and non-hazardous materials could be temporarily stored or permanently deposited. The ventilation system includes a design basis for gassy mine conditions and provides for the option of bulk air cooling and heating.

Jan 1, 1988

By D. L. Passmore

The development of microcomputer software that provides an analysis of pit-specific accident and production data for the mining industry is seen as a vital component in a total loss-control system. The Mine Injury Reporting System (MIRS) allows users to access accident and production data prepared by the Health and Safety Technology Center of the Mine Safety and Health Administration of the United States Department of Labor for any particular state and to generate a simple, yet informative, report.

Jan 1, 1988

By D. H. Warren

This presentation we hope will provide you with an orderly approach co mine and surface plant closure taken from our experience over the past several years on six different projects within the intermountain states. There is no magic to the approach. It is basic common sense and yet it is interesting how many of the specific details are overlooked due to the individual complexity of each site. Our attempt here is to share some of the issues that have confronted us on these six sites. Please recognize that it is impossible to be all inclusive. Of the six sites we have drawn from; two are mine, mill and smelter sites dating back to pre-1900, one is an industrial site dating back to the early 1900s, two are mill and concentrator sites dating from the late 1940s and one is a mining district site dating from the late 1800s.

Jan 1, 1989

By D. C. McIntire

The Homer City Station, jointly owned by New York State Electric and Gas Corporation and Pennsylvania Electric Company is a three unit coal fired station. The first two units were put into commercial operation in 1969; the third unit became commercial in 1977. Units 1 and 2 are subject to the Pennsylvania State Implementation Plan (SIP) emission limit of 3.7 pounds of S02 per million BTU. Unit 3, having started construction later, is subject to the Clean Air Act, New Source Performance Standards emission levels of 1.2 pounds of 50-2 per million BTU.

Jan 1, 1988

By G. M. Bernard

An overview presentation of the fast-track start up of Cerro Colorado, a new copper heap leach project in Chile's Atacama' desert. A brief explanation 'of location of the property, exploration history, geol-ogy, reserves and development are presented. The overview includes mining, crushing, agglomeration, and the solvent extraction-electrowinning recovery process. Challenges and requirements specific to heap leach systems will be addressed and analyzed. A detailed description will be given of the mobile heap leach conveying and stacking systems used in the building of heaps for on-and off-pad operations.

Jan 1, 1995

By D. C. Moore

The decision to proceed on a "fast track" construction project is not" without risks as well as rewards. An understanding of some of the risks prior to start of the project will maximize the rewards. This paper describes the research, development, procurement, engineering and construction of the Asamera Minerals cannon Mine concentrator. This fast track project was accomplished in 20 months. Special attention is paid to the risks encountered and the steps taken to ameliorate them.

Jan 1, 1988

By B. Jones, W. Zhang, Q. Li

Rare earth elements (REEs) are critical materials to the United States due to the imbalance between their supply and demand. Considerable research and development efforts have been devoted on REE recovery from coal refuse using inorganic acids as lixiviants, however, the cost of inorganic acids is normally high, and the environmental friendliness is low. As alternatives to inorganic acids, organic acids of small molecules such as lactic acid and succinic acid have been used as efficient and green lixiviants for metal extraction. In addition to the supply risk of REEs, food waste generation and disposal is another emerging and critical issue since nearly one-third of the edible food is lost or wasted each year. In this research, organic acids were microbially converted from food waste and used as lixiviants to leach REEs from density fractions of an Illinois Basin coal. Experimental results indicate that REE recovery increases of up to 15 absolute percentage points were obtained using organic acids relative to inorganic acids. The conversion of food waste into value-added, renewable, and environment-friendly chemicals promotes the economic viability of REE recovery from coal refuse.

Mar 2, 2022

By J. H. Rowland, A. C. Smith, K. A. Teacoach

Current regulations for fire suppression systems in underground coal mines to protect conveyor belt installations have been in place since the Coal Mine Health and Safety Act of 1969 was enacted. Over time, the coal conveyer equipment being used and ventilation conditions underground have changed significantly, particularly the width of the conveyor belts and the use of belt air at the face. The effect of these new conditions on the effectiveness of suppression systems during a fire is not known. The National Institute of Occupational Safety and Health (NIOSH) conducted a study to evaluate the effect of air velocity, water sprinkler activation temperature and a limited water application time on the effectiveness of water sprinkler fire suppression systems to extinguish large-scale conveyor belt fires. The fire tests were conducted using both new and used 1.8-m-wide, fire-resistant rubber belt that met the Mine Safety and Health Administration (MSHA) flame-resistant requirement specified in Title 30, Code of Federal Regulations, part 18, section 18.65 (also known as the 2G test). Tests were conducted using standard response sprinklers with activation temperatures of 68° C and 141° C at air velocities of 0.5 and 5.1 m/s. Two tests were conducted at both air velocities for each sprinkler activation temperature, one using a new belt and one with a used belt. The results showed that the suppression system was able to suppress the fires in ten minutes to the point that a miner could extinguish it with a fire hose. However, in several of the tests, the fire reestablished itself a few minutes after the sprinkler water supply was cut off and quickly grew out of control. This report discusses the large-scale experimental configuration, the installation specifications of the fire suppression system and the results and conclusions regarding the effect of air velocity, sprinkler activation temperature and limited water application on the suppression system performance.

Jan 1, 2010

By S. Bhattacharaya, S. Aich, B. K. Nandi

"At present scenario, there has been an increasing demand in the usage of blend coal in power sector; regardless of how, specific knowledge on burning and ignition characteristics and their interactive effects is stingy. In this work a detailed investigation was therefore taken up to study in detail the combustion characteristics of selected coal samples and their blends. Certain parameters were believed to have significant effects on combustion characteristics of individual coal and their blend. Major parameters identified for this purpose included proximate analysis, combustion conditions, heating rate, reaction regions, blending ratios, ignition condition, reactivity (or reaction rate) and burnout temperatures. With the help of these parameters, thermal features and reaction kinetics of the individual and blended samples were investigated through a qualitative and quantitative thermo-gravimetric analysis of two different individual coals and their blend carried out in an oxygen atmosphere from ambient to 800 0C at a constant heating rate of 10 K/min. A significant difference in terms of rate of mass loss with temperature correlated from Arrhenius expression along with coal-coal blend interactions and deviation from their expected behaviour, have been observed between the kinetics of individual and blend samples, the latter showing better ignition performance and comprehensive combustion phase. It was also found that particles having the lowest percentages of volatile matter and ash could possibly be blended with particles having high ash and volatile matter to meet the required burning condition which can be effective in terms of cost savings, improved fuel economy, reduced undesirable exhaust emissions and improved safety of coal burning equipment. Experimental results further indicated that individual samples and coal blend samples have different combustion features in terms of residue left, peak temperatures and activation energies. Thermodynamic activation parameters such as activation energy, pre-exponential factor and order of reaction were computed from the thermal data using the modified form of non-isothermal methods. INTRODUCTION Coal has been the most significant source of energy for India and would remain so at least for the next few decades. About 60-65% of the electricity produced in India is from coal fired power plants. Indian coal is of drift origin and of high ash content. Ash content of the coal burnt in power plants in India is in the range of 30-45%, most of it being Run-of-Mine coal. Most of the power plants in India source their coal from number of mines, most common being multiple sourcing. Usually coal from each source [1] is burnt separately. For various reasons mostly associated with logistics, burning of blended coal is rarely practiced. Blending of coal is practised mainly for improving the quality of available coal and meets the shortage of coal supply. Blending technique is generally practised in power industries to reduce the cost of power generation along with mitigating combustion performance or slagging problem ensuring consistency in as fired coal quality and also for environmental compliance. Blending good quality imported coal can improve coal quality and helps in preserving indigenous coal resources for longer period [2]. Use of blended coal shall reduce load on all boiler components (Mill, CHP, Boiler, AHP) & reduce O&M cost and increase the availability. The main purpose of blending is to get a blended as fired coal having ash, volatile matter and gross calorific value close to design coal and the two coals are to be blended in such ratio proportions that resultant coal blend have desired ash, volatile matter and gross calorific value [3]. For a coal to be blended certain parameters have to be considered to get compatibility with respect to combustibility ( Burn ability) of coal, grindability ( HGI), ash fusion behavior, swelling characteristics of coal, need to be checked"

Jan 1, 2017

By Rolf Hindstroom

Outokumpu Mintec started development of the pressure filter in 1991, and the first unit was delivered to Tara Mines Ltd. Ireland in 1992. The filter replaced a conventional disc filter and a thermal dryer. The replacement of the thermal dryer has improved both environmental and working conditions. The filter is currently dewatering 80,000 tons per year of lead concentrate, producing a cake with less than 6 wt % residual moisture.

Jan 1, 1995

By K. P. Pavlich

Strategic planning, including the process of developing competitive strategy, is an integral part of all organizational management; from one person operations to multi-national Fortune 100 firms. The structure of that process varies from decisions and direction based upon one person's intuition to the integration of multiple strategic planning groups from each of a firm's many business units. Everyone has heard interesting strategic planning stories such as the railroad industry's long term failure to realize that they were in the transportation business and not the railroad business, the decision to "give away the razors and sell them the blades", Caterpillar's "SOQ NaP" campaign (Sell On Quality, Not On Price), or the tanker industry's eventual realization that by better managing turn-around the firm could control their largest single cost: depreciation. It is important to remember that very few strategic planning decisions are going to become Harvard Business Review case studies. That fact does not, however, diminish the need for understanding the firm's business, and actively planning how it is going to remain in business in the future!

Jan 1, 1989

By R. L. Beatty

The Bond International Gold (BIG) Colosseum Gold Mine was discovered in 1865, but no recorded production occurred until the 1930's, with production approximately 19k9 (615 oz) of gold. The mine was closed in 1942 as a non-essential industry during World War II. The property was acquired by Dallhold Resources in mid 1986. Construction of a 1.1 million Mt carbon-in-pulp, cyanide mill started in November, 1986, and was completed in September, 1987. Minable reserves are estimated to be 9,560,831Mt (10,539,000St), with an average grade of 2.1 g/Mt (0.062 oz/st). This paper describes a general view of process flow and plant equipment, as well as a look at the maintenance and operational problems encountered in the fist six months of operation.

Jan 1, 1989

By Jr. Wallace

This paper describes an analysis performed to determine the cool-down time of drifts in the prospective commercial nuclear waste repository in volcanic tuff at Yucca mountain, Nevada. Two emplacement methods are currently being considered at Yucca mountain. The reference configuration stores the high-level waste in short vertical boreholes, and the alternative configuration stores the waste in long horizontal bore-holes. After emplacement operations for each emplacement drift are complete, the drift will be closed off from continuous ventilation. Given time, the radioactive decay of high-level waste will increase the rock temperature around access and emplacement drifts. Air cooling may be required to re-enter these drifts. The paper discusses the analysis procedure and computer programs used to evaluate the time to cool a drift to acceptable environmental conditions 50 years after emplacement of high-level waste. Key assumptions to the analysis are presented. The results of the study show that cooling either vertical or horizontal configuration emplacement drifts is possible in a reason-able period of time.

Jan 1, 1988

Effective ground control in the gate entries, particularly in the tailgate travelways, is essential for safe longwall mining. Longwall pillars maintain gate entry stability and carry abutment loads. To answer the need for effective longwall pillar design, an empirical method called Analysis of Longwall Pillar Stability (ALPS) was proposed several years ago. Some recent research at the Bureau of Mines has focused on the refinement and verification of the ALPS method. ALPS was originally developed from field studies in which multiple stressmeters were installed in longwall pillars and monitored during mining. Several new field studies have now been incorporated into the ALPS data base. The field measurements have' been used to verify formulas for predicting abutment strength and pillar loads, and to develop an expression for the distribution of the abutment load.

Jan 1, 1989