\a *<.„ = * A <* o ' ^ G' . » * «G ^'X • ,"v v *?y * a G^ A A, v ^o^ :-^^: -of :^^'- ^ a? • o^^cvK^'. v? C< *bv" C^o ^ ^SIP^ A>*^ o%^%fVW«> A*/\ n V * ^_, ,. , 8 «^> (0? „ e ' ^•o' 'bK - W ° ^ A ^ a v * ,HYw a ° ^ A * rSii^ • ^ a v * . O ^V A>^ o ^* A^ ^ ' 1 ^-^ «>, '-few*** n o ^ v »i'^- ^ aP -l'>C w ,/% < ; -.^ 4 O V. " . . o » ^ O \>» A ^0< >>* A o V A V V -■ .' A ^V : „^ii^" A V "V - BUREAU OF MINES INFORMATION CIRCULAR/1989 J<0 Practical Considerations in Longwall Face and Gate Road Support Selection and Utilization By Thomas M. Barczak, David E. Schwemmer, and Carol L. Tasillo UNITED STATES DEPARTMENT OF THE INTERIOR Information Circular 9217 Practical Considerations in Longwall Face and Gate Road Support Selection and Utilization By Thomas M. Barczak, David E. Schwemmer, and Carol L. Tasillo UNITED STATES DEPARTMENT OF THE INTERIOR Manuel J. Lujan, Jr., Secretary BUREAU OF MINES T S Ary, Director TVla5)s no.12J7 Library of Congress Cataloging in Publication Data: Barczak, Thomas M. Practical considerations in Iongwall face and gate road support selection and utilization. (Bureau of Mines information circular; 9217) Bibliography: p. 22. Supt. of Docs. 4io.: I 28.27:9217. 1. Mine roof control. 2. Longwall mining— Safety measures. I. Schwemmer, David E. II. Tasillo, Carol L. III. Title. IV. Series: Information circular (United States. Bureau of Mines); 9217. TN295.U4 [TN288] 622 s [622'.334] 88-600440 CONTENTS Page Abstract 1 Introduction 2 Research perspective 2 Development of practical considerations 4 Shield support considerations 5 Support selection and design considerations 5 Shield type 5 Component constructions 5 Support capacity 8 Performance acceptance testing 8 Active versus passive load application 9 Static versus dynamic testing 10 Critical load evaluations 10 Operational considerations 12 In situ performance monitoring 13 Crib support considerations 14 Support selection and application 14 Construction 16 Failure observations 18 Laboratory testing and analysis 19 Conclusions 21 Bibliography 22 ILLUSTRATIONS 1. Mine roof support optimization 3 2. Organization scheme for shield configurations 4 3. Organization scheme for gate road supports 5 4. Location of support resultant resistance 6 5. Comparison of solid base and split base shield designs 7 6. Split caving shield design 7 7. 2:1 canopy ratio 7 8. Total load determinations on shield supports 8 9. Shield leg mechanics considerations 9 10. Friction effects on performance testing of shield supports 10 11. Most critical contact configuration for two-leg shield supports 10 12. Critical load conditions for shield supports 11 13. Direction of displacement loading for shield performance tests 11 14. Friction-free shield tests 11 15. Horizontal shield constraint 12 16. Shield-setting pressure considerations 12 17. Setting shield with tip raised 13 18. Advancing support under partial contact with roof strata 13 19. Measurement of shield loading 14 20. Wood and concrete crib strength and stiffness 15 21. Wood crib subjected to horizontal displacement 15 22. Wood crib stiffness as a function of crib height 16 23. Construction of wood cribs with overhanging ends 16 24. Unstable parallelogram wood crib configuration 16 25. Improving wood crib strength by adding additional blocks per layer 17 ILLUSTRATIONS-Continued Page 26. Instability in wood crib resulting from weak crib member 17 27. Composite wood-concrete crib structures 18 28. Load transfer disks used in concrete crib constructions 18 29. Typical failure in concrete crib support 19 30. Explosive failure of concrete crib support constructed with load transfer disks 20 31. Convergence rate effect on wood crib support resistance 20 32. End effect considerations in crib testing 20 UNIT OF MEASURE ABBREVIATIONS USED IN THIS REPORT ft foot kip/in 2 kip per square inch in inch pet percent in/min inch per minute psi pounds per square inch kip/in kip per inch PRACTICAL CONSIDERATIONS IN LONGWALL FACE AND GATE ROAD SUPPORT SELECTION AND UTILIZATION By Thomas M. Barczak, 1 David E. Schwemmer, 2 and Carol L. Tasillo 3 ABSTRACT The U.S. Bureau of Mines has been conducting research to optimize the design and utilization of mine roof support systems. An objective of these efforts is to evaluate the mechanical and structural responses of various mine roof support systems under simulated load conditions in the Bureau's mine roof simulator. Underground studies are also made to evaluate the in situ behavior of support structures. The purpose of this report is to document practical applications for longwall face and gate road supports that have resulted from these studies. This report is not intended to be an all-inclusive manual on every aspect of support utilization, but it does provide a comprehensive assessment of practical considerations relating to the mechanical and structural behavior of these support systems. Forty-six recommendations are made to provide assistance to mine operators in the testing, selection, and utilization of longwall face and gate road supports. Many of these recommendations offer innovative solutions to everyday problems faced by mining personnel in the control of ground in longwall mining. 'Research physicist, Pittsburgh Research Center, U.S. Bureau of Mines, Pittsburgh, PA. Structural engineer, Boeing Services International, Pittsburgh, PA. 3 Senior project engineer, Boeing Services International. INTRODUCTION The Bureau of Mines has been conducting research to optimize the design and utilization of underground mine roof support systems. Much of this research was con- ducted in the Bureau's mine roof simulator and was in- tended to develop fundamental relationships concerning the mechanics and structural responses of various mine roof support systems under simulated load conditions. Several publications are available that extensively docu- ment these studies (see "Bibliography" section). These publications describe the parameters under consideration and test results for each area of investigation. Each report contributes to understanding the engineering mechanics involved in roof support systems. The reports contain detailed theoretical and analytical analyses of support be- havior and do not concentrate on practical applications. The purpose of this report is to document the practical applications that have resulted from these various studies. The scope of this report is limited to longwall face and gate road supports, specifically shields and various forms of wood and concrete cribbing. References are made to pillar considerations, but this report is concerned primarily with artificial supports. It is not intended to be an all- inclusive manual on every aspect of support utilization, but represents a fairly comprehensive assessment of the prac- tical considerations relating to mechanical and structural behavior of these support systems. Concise recommenda- tions are made for testing, selection, application, construc- tion, and operation of these supports. Proper ground control is essential to the safety of underground coal mining. Significant improvements have been made in longwall ground control during the past de- cade, but ground control problems still persist and remain a limiting factor in longwall mining productivity. Many articles and a few books 4 have been written to assist coal operators in ground control techniques. Much is to be learned from these publications and from the experience gained from mining personnel as they labor to achieve success. This report is not intended to be a reiteration of this literature or a synopsis of operator experiences. Rather, it is intended to advance the state-of-the-art of longwall ground control by contributing new information as an outgrowth of the Bureau's research in support be- havior and strata interaction studies. However, to main- tain a comprehensive discussion on the subject of longwall face and gate road support considerations, some informa- tion of common knowledge is included. RESEARCH PERSPECTIVE Before discussing practical considerations, a brief over- view of the Bureau's research program is presented to pro- vide some background for the practical considerations de- veloped in this report. Figure 1 shows the overall technical approach pursued in the mine roof support optimization research. This research combines studies of support mechanics with rock mechanics investigations to ensure optimum compatibility when considering the interaction of the support structure with the surrounding strata in re- sponse to various loading conditions. As the diagram in figure 1 implies, ground control considerations must in- volve evaluations of both the support structure and the geological environment. The research to date has primarily been in the area of support mechanics, using the Bureau's mine roof simulator to simulate controlled loading of wood and concrete crib- bing and longwall shields. Areas of evaluation for shield supports included stability, stiffness characteristics, load transfer mechanics, and critical load considerations. Parameters under investigation were type of shield (two- leg versus four-leg), height, setting pressure, contact configuration, direction of applied displacement (vertical versus horizontal), and horizontal constraint. Areas of evaluation for gate road crib support structures included stability, load-displacement relationships, failure mechan- ics, material considerations, and geometric considerations. Study parameters for wood cribs included load rate, con- figuration (contact area), height, wood type, moisture con- tent, and horizontal displacement. Compressive strength, configuration (solid versus open), square versus round ge- ometry, and height were evaluated for concrete cribs. The type, amount, and location of wood in composite wood- concrete structures was also investigated in these studies. This research represents a 5-year effort initiated in 1983. Future research will investigate other parameters that affect support response, such as gob loading on shield supports and interaction effects in multiple crib support utilization. In addition, technologies developed in the lab- oratory will be employed and evaluated underground. 4 Peng, S. S. Coal Mine Ground Control. Wiley, 1978, 450 pp. Peng, S. S., and H. S. Chiang. Longwall Mining. Wiley, 1984, 708 pp. I Support mechanics I I I I Rock | i mechanics \ &■ j • Load transfer • Stability • Structural integrity • Weight of unstable strata • Convergence !• 1 Interaction | | support and strata g Vtet*z^.4S^^a*,te*^^t^ Load conditions Support response Support selection ^r^WI^WW»«tff.lWW4 l J'WI^ Optimization AiVttiaXAMSiiiV&XfwAKftili 'M&KWW&teWW T WMmq Optimum compatibility I Support design Maximize \ efficiency | 5 Engineer support to geological conditions J Figure 1.— Mine roof support optimization. DEVELOPMENT OF PRACTICAL CONSIDERATIONS From the research perspective presented in the previous section, it is seen that there are several parameters in- volved in mechanical and structural analyses of roof sup- port behavior. To relate these to practical considerations of ground control in longwall mining, a scheme is devel- oped to organize this information in specific areas of prac- tical interest. Figure 2 depicts an organization scheme for shield considerations and figure 3 reveals a similar organ- ization for gate road crib supports. Practical considerations for shield supports are discussed in terms of (1) support selection and design con- siderations, (2) performance acceptance testing, (3) opera- tional considerations, and (4) in situ performance monitor- ing. Topics of discussion for each of these areas are shown in figure 2 and include such things as type of shield, component constructions, setting pressure recom- mendations, methods of testing, and failure assessments. Because crib supports are passive supports, operational considerations are not an issue. However, as passive sup- ports, cribs are less adaptive than shields to changing load conditions, and failure is more an area of concern for crib supports. Hence, selection of the proper crib support for specific conditions is critical. Practical considerations for crib supports are discussed in terms of (1) support selec- tion and application, (2) construction, (3) failure observa- tions, and (4) laboratory testing and analysis. The format for presenting practical considerations is to identify concise and definite recommendations for applica- tion or evaluation of longwall face and gate road support systems in the control of ground in longwall mining. Accompanying most recommendations is an illustration to graphically describe the issue under consideration. Follow- ing each recommendation is a brief technical explanation to support the recommendation. The 46 recommendations are numbered consecutively through the report. Shield support consideration Sele< ar des ;tion id ign Perfor test mance ing Oper ation In situ monitoring • Type of shield • Active versus • Setting pressure • Shield loading passive testing • Component • Static versus • Setting procedures • Structural failures constructions dynamic testing • Support capacity • Critical load evaluations • Advance procedures • Analysis methods • Yield pressure Figure 2.— Organization scheme for shield configurations. Crib support consideration Selection and Construction Failure Laboratory applic ation 1 — -J observations tesl Mng • Concrete wood versus crib • Concrete wood ' versus • Expected failure modes • Size effects • Strata conditions • Geometries • Signs of failure • Rate effects • Seam height • Stiffness • Potential danger • Machine stiffness • Convergence • Strength • Sustained loading Figure 3.— Organization scheme for gate road supports. SHIELD SUPPORT CONSIDERATIONS SUPPORT SELECTION AND DESIGN CONSIDERATIONS Topics of discussion in support selection and design considerations are shield type, component constructions, and support capacity considerations. This section provides information on when to use what support, how to evaluate required support capacity, and what to consider and avoid in specific shield designs. Shield Type 1. Use four-leg shield designs in conditions where can- tilevered strata is likely and two-leg shields in less com- petent strata conditions (fig. 4). Four-leg shields have a larger capacity potential than two-leg shields because of the larger number of leg cylin- ders, and are therefore better able to support larger loads caused by cantilevered strata. Four-leg shields also pro- vide a resultant resistance force closer to the gob than two-leg shields. This reduces required support capacity to maintain moment equilibrium, improves support stability, and may help induce breakage of the strata to alleviate the cantilevered strata condition. In contrast, two-leg shields provide a resultant resistance force closer to the face, and they are more effective in controlling less stable strata prone to cavity formation in the face area. In addition, two-leg shields are likely to have a shorter canopy length and produce less cycling of roof strata. Component Constructions 2. Use solid base configurations only in soft bottom con- ditions where bearing pressures of split base designs exceed the strength of the floor strata (fig. 5). Structurally, solid bases are more stable because they provide an out-of-plane stiffness. The larger contact area provided by the solid design provides a lower bearing pressure on floor strata, making solid base designs more suitable in soft bottom conditions. Despite these structural advantages, the trend has been toward split base configura- tions. Split base configurations more easily accommodate floor irregularities during support advancement and have sufficient flexural stiffness to adequately distribute loads for most floor strata. LongwallWIj face ^mm^m^w^iw^^^^^^^m^^T^^m^ Support response 1 Long wall tM face Resultant force / 'F^ Four- leg shield ; #\w?^ #W^J^AW^^^^ Figure 4.— Location of support resultant resistance. 3. Avoid split caving shield designs (fig. 6). Split caving shields are utilized to permit out-of-plane rotation of the canopy to enable the canopy to better maintain contact with irregular roof strata. Split caving shield designs reduce out-of-plane shield stiffness, and the shield is less able to resist out-of-plane (lateral) loading. The result of this design is often an unstable configuration. Nearly all installations using the split caving shield design have experienced stability problems. 4. Solid canopy designs provide the most effective roof control. Articulated canopy designs are becoming obsolete. Canopy articulation generally reduces shield stability. Flipper arrangements at canopy ends prevent debris from falling but probably do little to control roof behavior or inhibit failure. Loads generated in canopy extensions must be transmitted through the canopy structure, and therefore add to the strength requirements of the canopy design. They should be avoided except in very friable roof conditions where added protection is required in the un- supported span between the coal face and the canopy tip. 5. The requirement of a 2:1 canopy ratio is only a rule of thumb and should not be a primary design consideration (fig- 7). The 2:1 canopy ratio relates the location of the resultant support resistance from the canopy tip to the distance from the resultant force to the canopy-caving shield hinge. It is intended to ensure an adequate active force over the full length of the canopy, particularly at the canopy tip. The effectiveness of the canopy to maintain adequate roof pressure along its full length is significantly dependent upon the flexural stiffness of the canopy structure. As the flexural stiffness decreases, less tip loading is likely. Another significant consideration that violates the 2:1 re- quirement is the shape of the canopy. Some canopies are shaped concavely upward to ensure tip loading. Canopy structures that promote initial contact at the tip should not be steadfastly evaluated by the 2:1 rule. Figure 5.-Comparison of solid base and split base shield designs. Split caving shield Canopy ratio = jj- •H-«— fa- Figure 6.— Split caving shield design. Figure 7.-2:1 canopy ratio. 6. Be cautious of lemniscate link designs that promote bending of the link structure. Some two-leg shield supports use "curved" link designs where the line of action between the pin holes is not con- sistent with the centroid of the member. This is usually done to provide adequate clearance at collapsed heights. These designs impose eccentric loading causing potentially large stresses due to bending, which must be considered in the design. One support tested in the simulator reached material yield in the link at much less than rated support capacity. With the exception of pin friction, links need only be designed for axial loads. Support Capacity 7. Support capacity determinations should consider support stiffness and face convergence (fig. 8). Historically, the most common analytical method to determine support capacities has been to evaluate caving characteristics using some form of bulking factor formula- tion to estimate a rock mass that must be maintained in equilibrium by the support resistance. Estimation of cav- ing characteristics is difficult and is generally not an accu- rate means to assess support capacity. Support resistance required to maintain equilibrium of the rock mass as eval- uated in these or other methods should be used to assess required setting forces and not yield loads. The total load on the support will be the sum of the setting force and the reactive load due to convergence, which is a function of the support stiffness. Hence, support capacity determina- tions should be based upon face convergence and support stiffness. Hsiung proposes a methodology using equivalent support-strata stiffness and face convergence to size shield supports. 5 The Bureau is currently developing a similar methodology using shield stiffness and face convergence parameter considerations. PERFORMANCE ACCEPTANCE TESTING This section provides information on how to test shields and evaluate their performance in the laboratory. Topics for discussion include issues of active versus passive testing, static versus dynamic testing, and critical load evaluations. 5 Hsiung, S. M., Y. M. Jiang, and S. S. Peng. Method of Selecting Suitable Types of Shield Supports at Longwall Faces. Paper in Pro- ceedings of the Seventh International Conference on Ground Control in Mining. WV Univ. 1988, pp. 161-168. Setting load (S) = W Convergence (S) K = Shield stiffness Convergence load (R)= K-*8 Total load (F)= Setting load (S)+ convergence load (R) F= W + K*8 Figure 8.— Total load determinations on shield supports. Active Versus Passive Load Application 8. Performance testing on shields with double telescoping leg cylinders by passive load application, where leg pres- sures are used to generate shield loading by reactions against a static frame, should be conducted at less than full first stage leg extensions to be compatible with in mine behavior and performance testing by active load application (fig. 9). Because of leg mechanics, the effective area of the leg cylinder changes for leg convergence in comparison to leg extension when the first stage is fully extended. Tests con- ducted in the Bureau's mine roof simulator indicate that leg force is reduced by 50 pet on some shields when the first stage is fully extended and pressurized to produce leg extension. This reduction in leg force will provide lower stresses in the support structure, and will result in errone- ous evaluations of the support's structural integrity. This in turn may jeopardize the safety of the miners in the event that critical loading was ignored by not providing the maximum leg force. 9. Leg pressures should be higher than in-service yield pressure for passive load application (testing in static frames) to achieve equivalent results at yield pressure under active load application (testing in active frames) (fig. 10). When the shield is developing reactions to applied dis- placements that cause compression of the leg cylinders, the friction in the leg cylinder and the caving shield-lem- niscate joints acts to help resist the applied displacement and therefore increases support capacity. Conversely, in a static frame where the leg cylinders are pressurized there- by causing leg extensions, the friction opposes the leg forces and caving shield-lemniscate assembly stiffness caus- ing a reduction in support resistance. Friction effects are likely to be on the order of 3 to 5 pet of the total support resistance, but can reach 10 pet under certain load condi- tions. The friction effects can be evaluated by examination of the hysteresis in load-unload responses during testing. LEG EXTENSION F LEG CONVERGENCE TTTT 0|A 2 Leg force (F) =O t A 2 A, A 2 0~|. 2 KEY Leg force Trapped fluid Pressure application Area of 1st stage Area of 2nd stage Cylinder pressure Leg force (F)=0| A t Figure 9.— Shield leg mechanics considerations. 10 Static frame testing U I ) ) I I I / / / A KEY »• Leg force (L) " Frictional force (f) Active load application ^ — 1> Support resistance (F) f l / I I / I / / / ) / I / / l_ 3 <| F =L+ f Figure 10.— Friction effects on performance testing of shield supports. Figure 11— Most critical contact configuration for two-leg shield supports. minimize costs. This practice is acceptable, but tests should be prioritized with the most critical load conditions evaluated last. Otherwise, the worst load case may pro- duce component stresses that damage weaker components and mask the effect of less critical load conditions. Test results at the completion of each test series should be analyzed so that effects of each load case are better understood. Static Versus Dynamic Testing 10. Static tests should be used to evaluate strength of mate- rial considerations in component designs and cyclic tests used to evaluate material fatigue and weld integrity. All support structures should first be analyzed under static load conditions to eliminate any load rate effects and to provide an understanding of load transfer within the structure. Fatigue studies are also an important considera- tion and should be conducted under all load conditions representative of underground conditions. Cycling should be done over the full range of support loads, ideally from zero to yield load. Conditions that produce a change in stress from tension to compression or vice versa are gen- erally more critical than conditions that maintain the same stress state. Cycle rate may also have a significant influ- ence on fatigue failure. Generally, lower frequency load application (load rate per cycle) is more critical than higher frequency load application. 11. Cumulative cycle tests should be prioritized and the most critical load condition conducted last. Generally, all tests are conducted on one support to observe cumulative effects of all load conditions and to Critical Load Evaluations 12. The most critical contact configuration for two-leg shield supports is standing the support on the toe of the base (fig- U). Simply supporting the base on its toe with any canopy contact configuration causes maximum loading in the base member and lemniscate links. In this configuration the base is subjected to maximum bending moment as the rear link acts in tension to pull the rear of the base upward while the leg force pushes it down. The lemniscate links also are subjected to maximum loading because they must act to offset leg forces to provide equilibrium of the base to maintain the base-on-toe configuration. 13. Specific canopy and base contact configurations should be designed to evaluate critical loading in each compo- nent of the support structure (fig. 12). A critical contact configuration for one component may not be critical for another component. Critical canopy contact configurations are largely independent of base contact and critical base contact configurations are in- sensitive to canopy contacts. Contact configurations that should be considered in critical load testing of shield sup- ports are illustrated in figure 12. 11 SYMMETRIC CONTACT CONFIGURATIONS V Full contact Canopy bending "tcdlcj Base bending Base-on-toe Base -on-rear Leg socket 11/ KEY X Critical load member V Contact UNSYMMETRIC CONTACT CONFIGURATIONS Canopy ^3 up ^3 fc£S + + + + SS3 ^ K + + Base Toe^ + KEY ESS Contact + Leg connection 14. Figure 12.— Critical load conditions for shield supports. Performance testing of shield supports should be con- ducted by applying or inducing both vertical and hori- zontal displacements to the support structure (fig. 13). The caving shield-lemniscate assembly has very little vertical stiffness (0-30 kips/in) and will not be significantly loaded by vertical displacements (roof-to-floor conver- gence). Horizontally, the caving shield-lemniscate assem- bly is quite stiff (400-900 kips/in), and large loads can be generated, provided horizontal freedom in the pin joints is overcome by the horizontal displacement or from horizon- tal constrainment during setting. Vertical displacements are likely to produce larger stresses in the canopy and base, since bending is the primary loading mechanism for these components. Horizontal displacements will add to the bending of these members. 15. Friction-free or zero horizontal load tests should be conducted to evaluate two-leg shield stability and link loading (fig. 14). When sufficient friction exists between the canopy and base strata interfaces, frictional forces are developed which VERTICAL DISPLACEMENT FACE- TO -WASTE HORIZONTAL DISPLACEMENT WASTE -TO -FACE HORIZONTAL DISPLACEMENT Figure 1 3— Direction of displacement loading for shield performance tests. / /_/_/ / /_/_ Z I 'CL t ~ r Z T . ■■■ •» • ♦• •• KEY — ^ Resultant force O Restraint #"•"• Roller — c=» Shield displacement Figure 14.— Friction-free shield tests. oppose the horizontal component of the leg forces. This directs the line of action of the applied resultant force away from the toe of the base, thereby aiding in support stability and reducing peak pressure distribution on the support base in the toe area. The frictional forces also minimize link loading because horizontal displacement of the canopy-caving shield joint is minimized. In the absence of these frictional forces, stability must be pro- vided by the caving shield-lemniscate assembly. Therefore, 12 friction-free tests are considered to be a critical load con- dition for two-leg shield supports. These tests can be con- ducted by allowing the load applying platens of a biaxial active test frame to displace freely in the horizontal direc- tion or by placing rollers or bars on top of the shield can- opy or under the base in a static frame test. 16. Shields should be horizontally constrained during set- ting and load application to remove freedom in the pin joints during critical load testing (fig. 15). Tests conducted in the Bureau's simulator revealed that considerable freedom exists in the numerous joints of a shield structure, and that loads will not be developed in the caving shield-lemniscate assembly unless the shield is prop- erly constrained to remove this freedom. Some contact configurations, such as base-on-toe contact, require con- strainment to maintain stability of the configuration, while others, such as full canopy and base contact, can be main- tained without constrainment. It is recommended that the canopy be displaced horizontally to remove pin freedom prior to the test and that link activity be monitored as an indication of load generation in the caving shield-lem- niscate assembly during critical load testing of shield supports. OPERATIONAL CONSIDERATIONS 17. Use higher setting pressures for high shield heights where the lower stage of the leg cylinder is fully extended (fig. 16). Shield setting force is provided by the vertical compo- nent of the leg force generated by the applied setting pres- sure. Despite the more efficient geometry consideration at high shield heights, the setting force can be considerably smaller than that provided at lower shield heights where the leg is operating at more of an inclined angle from the plane of the canopy. Reductions in setting force will occur when the lower stage of the leg cylinder is fully extended. The reason for this reduction in setting force is that the effective area of the leg cylinder is smaller when in this configuration. At high shield heights, when the first stage is fully extended against the mechanical stops of the leg cylinder casing, setting force equals the product of the applied setting pressure (measured in the lower stage) and the leg area of the upper stage. When the lower stage is not fully extended, the pressure in the upper cylinder ex- ceeds the lower cylinder pressure in proportion to the ratio of the areas and results in a larger setting force. Tests on several shields in the Bureau's simulator have shown re- ductions in setting forces of up to 50 pet when the lower stage is fully extended. 18. Setting pressure should be based upon face convergence and shield stiffness (fig. 8). Optimum setting pressure is the m inimum pressure that provides stability and equilibrium of the strata. The goal is not to prevent convergence, but to provide a setting force which is compatible with shield stiffness so that the load generation from the resulting convergence is consistent with the yield load capability of the support. Hsiung promotes a similar concept employing the stiffness rela- tionship of the support-strata system and measured face convergence. 6 Shield stiffness characteristics for various ^ork cited in footnote 5. —4 A 0.05 F, 0.95F 0.98R UNCONSTRAINED SHIELD SETTING \ 0.55 R, KEY ► F v Vertical force ^F H Horizontal force t-* Constraint CONSTRAINED SHIELD SETTING Figure 1 5.— Horizontal shield constraint Figure 1 6.— Shield-setting pressure considerations. 13 setting pressures and shield heights have been evaluated by the Bureau under controlled loading in the mine roof simulator. Stiffness characteristics should be made avail- able by support manufacturers to operators for analysis when purchasing supports. 19. Avoid setting shield with canopy tip raised up (fig. 17). All critical load configurations should be avoided if pos- sible. Generally, the operator has little control over the contact configuration established from setting the support, but the operator can control the attitude of the canopy, and setting the support with the canopy tip raised can be avoided. Setting the support with the tip up usually results in the support standing on the toe of the base which, as described earlier, is the worst load case for two-leg shield supports. Setting the support with the canopy tip raised also produces maximum bending in the canopy structure. 20. Advance the support under partial contact with the roof (fig- 18). To the extent practically possible, shields should be advanced under partial contact with the roof. This will ensure setting the shield in a constrained configuration, which removes freedom in the pin joints and increases support capacity and stability. In a constrained configura- tion, the caving shield-lemniscate assembly will develop vertical and horizontal reactions that act to increase sup- port resistance against both vertical and horizontal dis- placements. The constrained configuration will also result in a greater setting force for the same leg pressure. IN SITU PERFORMANCE MONITORING 21. Monitor leg pressures to provide an overall indication of shield loading but recognize the limitations of leg pres- sure measurements in shield load analysis (fig. 19). The easiest and best overall indicator of shield loading is an assessment of leg pressures. Vertical loading applied to the roof support by strata weight or convergence can be reasonably estimated from measurement of leg pressures. Vertical resistance provided by the caving-shield-lemniscate assembly will be a source of error in determination of vertical support loading by leg pressure measurements, but this error is likely to be less than 5 pet of the total vertical force. The area and pressure of the lower stage of the leg cylinder should be used to determine leg force. Horizontal forces cannot be accurately determined from leg pressure measurements. The Bureau has developed several tech- niques to measure horizontal loading. Horizontal loading should be measured if support stability or structural fail- ures are in question. 22. Inspect welds for signs of fatigue failures. Welds should inspected during each face move to assess fatigue loading of shield structures. Visual inspection should be adequate as a first means of inspection. Ob- served or expected problem areas can be treated with dye penetrant for further evaluation. The base appears to be the member that often fails first, but all members should be inspected. Particular attention should be paid to the leg socket area of the base member. Leg sockets are fre- quently cast members that are more difficult to weld, and the leg socket typically represents an area of stress concen- tration in most shields. 23. Be aware in making evaluations of structural problems that failed components alter load transferring mechanisms and can obscure the cause of the problem. Observed failure of one component does not necessarily indicate the source of the problem. When supports are in service underground, it is often very difficult to physically examine all of the support structure. This can result in misinterpretation of problem areas. For example, several cases have been brought to the Bureau's attention where . _ ~^^ __ Roof strata ~ — — -^ WW' Figure 17.— Setting shield with tip raised. R00f — _ Friction with roof strata ^Lg^SLj^^^ w^---^.-^ Floor "" Figure 18.— Advancing support under partial contact with roof strata. 14 ELASTIC MODEL Measure shield displacements 8 V .8 H Determine shield stiffness F v = K, 8 V + K F h= K, 8, 2 °h + K 4 8 h INSTRUMENTED HINGE PIN Mec isure leg pressure and pin forces V L v + p v F H = L v + P H P v Instrumented t pin ©-P, LINK STRAIN MODEL Measure leg pressures and frontor rear link strain L*V L + L*H L + F*V F F*H F v L . v F . h l , Hp = Geometric configuration coefficients Link ♦* strain. (L) ' Leg pressure Figure 19.— Measurement of shield loading. mine personnel observed structural failure of the caving shield near the lemniscate pins, when the real cause of the problem was failure of the base structure that was unno- ticeable while the support was in service. Mistakes can also be made in overstrengthening a component as a re- sult of a failure. Overstrengthening of one component could alter the load transfer and result in subsequent fail- ure of another component. Careful consideration should be given in making major modifications to the structural design of the support. Ideally any modification should be laboratory tested prior to returning the component to field service. 24. Consideration should be given to fracture mechanics of shields constructed of high-strength steel. Structural problems with shield supports are not likely to be catastrophic. Most longwall support structures are constructed of relatively mild steel (40-60 kips/in 2 yield strength) with good ductility, which allows considerable deformation before failure. Some support components, canopies in particular, are constructed of high strength steel, 100 kips/in 2 yield strength or greater. These steels are significantly less ductile and are more likely to fracture when loads exceed the elastic design strength. High- strength steels are also more difficult to weld and may be more susceptible to fatigue failures than components constructed of milder steel. Cracks in any steel structure represent a potential loss of structural integrity and constitute a potential safety hazard, but any crack in a high-strength steel construction should be perceived as a sign of imminent danger. CRIB SUPPORT CONSIDERATIONS This section describes wood and concrete crib behaviors and their application as gate road supports in longwall mining. Topics of discussion include selection criteria, construction considerations, and analysis of crib supports by controlled testing in the laboratory. SUPPORT SELECTION AND APPLICATION 25. Use concrete cribs where high strength is required and wood cribs where concrete stiffness is not compatible with expected convergence (fig. 20). A goal in crib support selection for any application is to design a structure with a stiffness that is compatible with the expected convergence. Reinforced concrete cribs are stiff structures that normally fail at vertical convergence of 2 to 3 pet of the height of the crib, whereas wood cribs are very flexible structures and are capable of deforming ver- tically 35 to 40 pet of their height in response to a converg- ing mine roof. Concrete crib stiffness can be reduced to provide more yield capability by reducing the strength of the concrete or by incorporating wood within the support structure. These issues are further discussed in the "Con- struction" section. 26. Adjust crib stiffness and density across entry widths to be compatible with convergence profiles. Depending on gate road pillar design and abutment loading, convergence is likely to vary across the width of a longwall entry. Minimum convergence can be expected to occur near the panel. Crib stiffness can be modified (by the application of wood volume in concrete cribs) to be compatible with convergence at the location of the crib support. 27. Do not use steel-fiber-reinforced concrete cribs in appli- cations where the shearer is required to cut through the cribs. Crib supports are used in recovery room operations to provide additional support during face moves. Concrete supports are sometimes used in place of wood supports because they have high strength and the shearer can cut 15 through them during the recovery operation. The steel fibers in reinforced concrete cribs tend to hold the con- crete together as the shearer cuts the crib. Large uncut pieces jam the face conveyor and stageloader. Therefore, nonreinforced concrete is preferred for these applications. Because nonreinforced concrete can fail violently, it is suggested that the crib be surrounded by something to contain the material during failure. One mine poured nonreinforced concrete underground in tubes to form small pillars that effectively controlled the ground during longwall recovery. 28. Use concrete cribs at crib heights where wood cribs experience buckling failure. Concrete is more uniform and hence provides for better stability in crib constructions than wood, which has incon- sistent material properties. Stable concrete crib structures in excess of 30 ft in height (with cross-sectional areas com- parable to 6-ft-high wood crib constructions) have been reported. 29. Use wood cribs in areas of high horizontal displacement (fig. 21). Wood cribs are able to deform sufficiently to remain stable against horizontal displacements (displacements applied perpendicular to the longitudinal axis of the sup- port). Tests conducted in the Bureau's simulator have shown wood cribs greater than 6 ft in height can withstand 12 in of horizontal displacement with 24 in of vertical dis- placement and remain stable without significant loss of support capacity. This capability decreases as the cribs are reduced in height. At shorter heights, the cribs become stiffer and are less able to deform. The shortest wood crib tested was 50 in. It remained stable but exhibited a 35-pct reduction in support resistance (vertical load capacity) at 12 in of horizontal displacement. 30. Increase the density of crib supports as the seam height increases (fig. 22). The stiffness of wood crib structures increases nonlin- early as the height of the structure is reduced, resulting in larger load reactions per unit convergence. As an example of the effect of height on wood crib resistance, a 110-in- high square crib had 35 pet less support resistance than a 50-in-high crib at 10 in of displacement and 60 pet less resistance at 20 in of displacement. Figure 20.— Wood and concrete crib strength and stiffness. Figure 21.— Wood crib subjected to horizontal displacement 16 CONSTRUCTION 31. Wood cribs should be constructed with minimum 6-in overhang on the ends of the blocks (beyond contact area between block layers) to enhance stability (fig. 23). Overhanging the ends of the crib blocks causes the blocks to interlock as they deform from convergence, pro- viding a rotational restraint between blocks that significant- ly improves stability. Weaker crib blocks have a tendency to roll as they fail and cause instability in the crib struc- ture. The rotational restraint provided by overhanging ends helps to prevent this action. Horizontal displace- ments further aggravate block rotation and crib instability. Overhanging the ends of the blocks is an effective means of improving stability against horizontal displacements. 32. Wood cribs should be constructed in square geometries (fig. 24). The strength of wood cribs is proportional to the prin- cipal moment of inertia of the crib structure. Wood cribs that have the same principal minimum moment of inertia will have the same load carrying capability. Therefore, although a rectangular crib has a larger maximum moment of inertia than a square crib equal in width to the rect- angular crib, both have the same minimum moment of inertia and will have the same load carrying capability. Because the square crib consumes less material and space, it is the more optimum configuration. 800 600 o O 400 KEY Nominal height 50 in 60 in 80 in 1 10 in 200 6 8 10 12 14 16 18 VERTICAL DISPLACEMENT, in 22 Figure 22.— Wood crib stiffness as a function of crib height. Figure 23.— Construction of wood cribs with overhanging ends. Figure 24.— Unstable parallelogram wood crib configuration. 17 33. Use additional blocks per layer to improve the strength of wood crib supports (fig. 25). Experiments were conducted by the Bureau to see if increasing interblock contact area by changing the con- struction of wood cribs from square to parallelogram geometries would increase the strength of the wood crib. Results showed that only a minimal increase in strength was achieved, with a reduction in stability and support resistance at large displacements (greater than 10 in). It was concluded that square geometries are a better overall configuration, and that increases in strength should be provided by adding additional blocks to crib layers. 34. Wood cribs should be constructed from the same type of wood (fig. 26). A primary failure mechanism for wood crib supports is instability, generally caused by differential compression or rotation of individual crib blocks caused by variation in their material properties. Construction of wood cribs from the same material type will minimize localized differences in crib deflections and enhance stability. 35. Incorporate wood in concrete crib constructions to re- duce the stiffness and enhance the yield capability of the structure (fig. 27). If additional strength and yield capability are desired, layers of wood should be added between the layers of con- crete. The wood layers act to provide a more uniform load distribution on the concrete elements and provide constraint against lateral expansion. Tests have shown that thin sheets of plyscore or plywood added between each layer of concrete will increase the strength of the crib by a factor of 2 to 3. If additional yield capability without additional strength is required, wood additions should be concentrated at the top or bottom of the structure. The increase in yield and reduced stiffness of these composite configurations will be proportional to the amount of wood incorporated in the structure. The incorporation of wood in concrete cribs to improve strength or yield capability is effective for both circular and rectangular crib geometries. 36. Use lower strength concrete to reduce the strength of concrete crib supports. If the reactions developed in concrete cribs exceed the bearing strength of the roof or floor strata and wood cribs are incapable of providing the desired resistance, use a lower strength concrete in the concrete crib design. "Weak crib ■ element Figure 25.— Improving wood crib strength by adding additional blocks per layer. Figure 26.— Instability in wood crib resulting from weak crib member. 18 High-strength concrete (7,000-8,000 psi) is typically used in concrete crib construction to achieve maximum strength. A specific strength concrete can be used to provide a crib that is most compatible with the conditions in which the crib is to be employed. 37. Concrete cribs should be constructed to minimize non- uniform loading (fig. 28). Effort should be made to ensure as uniform load as possible on concrete crib supports. Eccentric loading or concentrated loads (point loads) can significantly reduce the strength of the crib. Use wood wedges and crib blocks to maintain symmetric loading at roof and floor interfaces and remove any debris between layers during crib con- struction. Ideally, concrete cribs should be constructed on stable floor and loose rubble should be removed prior to crib construction. Additionally, wood (load transfer disks) can be incorporated between layers of blocks to provide more uniformly distributed loading on each block. FAILURE OBSERVATIONS 38. Wood cribs provide visual and audible signs of loading and rarely fail catastrophically. Crackling or popping noises are frequently heard as wood cribs take load. Maximum out-of-plane deflection will occur in the middle of the wood crib structure (typical of column buckling). If large horizontal displacement of Figure 27.— Composite wood-concrete crib structures. Figure 28— Load transfer disks used in concrete crib constructions. 19 the roof relative to the floor occurs, the crib profile will resemble more of an S-shape. 39. Watch for individual crib blocks that have rotated rela- tive to the cross section of the crib structure (fig. 26). If one or more crib blocks rotate out-of-plane to the cross section of the crib structure, the crib could become unstable and kick out under load. This condition usually occurs with a weak or deteriorated crib block, in crib con- structions where the ends were not overhung, or in condi- tions where the roof is displacing horizontally relative to the floor. 40. If concrete cribs are crushing out, their stiffness is prob- ably incompatible with the ground convergence. Properly designed concrete cribs should not fail. Con- crete has more than adequate strength to support gravity loading of unstable strata in nearly all applications. If they are failing, it is more than likely from excessive conver- gence that is incompatible with the material stiffness. Methods to reduce stiffness and improve yield capability have already been discussed. LABORATORY TESTING AND ANALYSIS 43. Wood and concrete cribs tested in the laboratory will exhibit greater strength than cribs utilized underground if the laboratory convergence rate is greater than the under- ground convergence rate (fig. 31). Both wood and concrete have load rate dependencies that affect crib strength. Tests conducted on wood cribs by the Bureau indicated a 30-pct increase in wood crib resis- tance for convergence rates of 0.1 in/min or greater com- pared to a convergence rate of 0.005 in/min. Load rate studies have not been made on full-scale concrete cribs, but laboratory tests on concrete test cylinders have shown similar load rate dependencies. 44. End effects can significantly affect postyield behavior of concrete cribs (fig. 32). Frictional forces developed along interface boundaries between cribs and test machine platens or the under- ground environment affect the distribution of stresses in the specimen and are referred to as end effects. Tests on 41. Concrete cribs do not provide signs of loading until fail- ure is imminent (fig. 29). Crack initiation in cementitous materials occurs at the microscopic level at about 30 pet of ultimate load, but macroscopic crack growth is not visually observable until 95 to 100 pet of the ultimate strength is reached. Many times concrete cribs will fail with little or no warning. Generally, crack formation will initiate near the middle of the crib structure and progress upward and downward. Shear type failures are common for solid crib constructions from rectangular blocks or circular disks. Open cribs con- structed of rectangular blocks will generally fail at inside contact boundaries, which are areas of high stress concen- trations. The incorporation of wood layers appears to change the failure mechanics of concrete cribs. Composite wood-concrete cribs show vertical crack propagation, which is indicative of tensile failure from uniaxial stress fields. 42. Composite wood-concrete crib structures have higher energy absorption capability and increased potential for explosive failure (fig. 30). Wood provides for more uniform loading and acts to provide a confinement to lateral expansion. This enhances the observed strength by allowing the crib to generate pressures closer to the unconfined compressive strength of the concrete, but is also disadvantageous in terms of energy absorption. Concrete cribs dissipate energy by crack growth and plastic deformation. More uniform loading and constraint to lateral expansion causes more strain energy to develop and less crack growth, which can result in highly explosive failures. Figure 29.— Typical failure in concrete crib support. — ^^mtm^^m^ 20 Figure 30.— Explosive failure of concrete crib support constructed with load transfer disks. 300 250 - 200 < CO UJ ai 99 ce 150 100- 0.02 004 0O6 0O8 CONVERGENCE RATE, in/min 010 Figure 31.— Convergence rate effect on wood crib support resistance. Triaxial state of stress Uniaxial state of stress Triaxial state of stress END ZONE CENTRAL ZONE END ZONE Figure 32.— End effect considerations in crib testing. 21 small-scale concrete cylinders have shown that specimen behavior during loading (prior to reaching ultimate strength) is largely independent of end effects, but behav- ior after reaching ultimate strength (postyield behavior) is significantly dependent on frictional boundary considera- tions. Laboratory test results indicate that postyield load carrying capability is significantly reduced if the frictional restraint is reduced. energy that is available, the faster a crack will grow. Ideally, a stiff testing machine is desirable so that energy is not built up in the test frame and released to the speci- men during testing, as this would accelerate crack growth and reduce crib strength. 46. Sustained loading will reduce the strength of concrete cribs. 45. Stiffness of the test machine can affect concrete crib performance. Crack propagation in concrete specimens is dependent upon available (potential) energy. Generally, the more Sustained loadings of greater than 70 pet of the ultimate compressive strength have been shown to reduce the strength of concrete specimens. Full testing of concrete cribs has not been attempted, but it is assumed a similar relationship exists. CONCLUSIONS Forty-six recommendations or practical considerations have been presented to assist in the selection and utiliza- tion of longwall face and gate road supports. Many of these are a direct outgrowth of the Bureau's ground con- trol research in support mechanics, and many offer innova- tive solutions to everyday problems faced by mining per- sonnel in the control of ground in longwall mining. Several of these considerations have application outside of longwall mining as well. In all of these considerations, one basic theme is em- phasized; roof supports that are most compatible with the conditions in which they are to be employed should be selected. Pursuant to this theme are some fundamental concepts that are extremely important and often over- looked or unrecognized by mining personnel. These are highlighted as follows and are the foundation of the prac- tical considerations presented. o The control of ground in any mining operation involves a rather complex interaction between support elements and the strata environment. Both the environment and the support behavior and their interaction must be con- sidered in any analysis of ground control. o A "bigger, the better" attitude in support selection is not a good ground control practice. Too much support resistance can be just as detrimental and catastrophic as too little support. o Observed support loading is not a supreme indication of required support capacity. Passive support elements (shields and crib supports) react loads in response to displacements imposed by the strata in proportion the stiffness and mechanical properties of the support structure. Simply because a support structure fails or yields, it does not necessarily mean that larger support capacity is required. A smaller capacity support with less stiffness or setting force may perform well where larger capacity supports have failed. o Initial conditions are an important consideration in analysis of support behavior and subsequent ground control. As much consideration should be given to shield setting pressures as yield loads. Setting pressures should not simply be set at the maximum available pump pressure. o Boundary conditions are also important considerations in support analysis. Not only is contact configuration important when evaluating longwall roof support struc- tures, but so are the direction of applied displacement (vertical or horizontal) and constrainment to these dis- placements. Lack of consideration of these parameters can lead to erroneous evaluations of the integrity of the support. 22 BIBLIOGRAPHY Barczak, T. M. Impact of Horizontal Load on Shield Supports. Paper in Proceedings of the Fourth Conference on Ground Control in Mining, ed. by S. S. Peng and J. H. Kelly. WV Univ., 1985, pp. 50-57. . Optimization of Longwall Supports. Pres. at Soc. Min. Eng. AIME Fall 1987 Meeting, Pittsburgh, PA, Oct. 12-13, 1987, 25 pp.; available upon request from T. M. Barczak, BuMines, Pittsburgh, PA. . An Overview of the Bureau's Mine Roof Support Studies Research Program. Pres. at 1985 AMC Coal Convention, Pittsburgh, PA, May 12-15, 1985; 13 pp.; available upon request from T. M. Barczak, BuMines, Pittsburgh, PA. . Resultant Load Vector Studies on Shield Supports. Paper in Proceedings of the 21st International Conference of Safety in Mines Research Institute, Sydney, Australia, Oct. 15-21, 1985, 5 pp. . Rigid-Body and Elastic Solutions to Shield Mechanics. BuMines RI 9144, 1987, 20 pp. . State-of-the-Art Testing and Analysis of Mine Roof Support Systems. Paper in Eastern Coal Mine Geomechanics. Proceedings: Bureau of Mines Technology Transfer Seminar, Pittsburgh, PA, November 19, 1986. BuMines IC 9137, 1987, pp. 3-11. Barczak, T. M., and W. S. Burton. Assessment of Longwall Roof Behavior and Support Loading by Linear Elastic Modeling of the Support Structure. BuMines RI 9081, 1987, 7 pp. . The Significance of Specimen Stiffness and Post Yield Characteristics on Passive Roof Support Design. Paper in Proceedings of the Sixth International Conference on Ground Control in Mining, Morgantown, WV, June 9-11, 1987. WV Univ., 1987, pp. 219-226. . Three-Dimensional Shield Mechanics. BuMines RI 9091, 1987, 23 pp. Barczak, T. M., and R C. Garson. Shield Mechanics and Resultant Load Vector Studies. BuMines RI 9027, 1986, 43 pp. Barczak, T. M., and R C. Garson. A Technique to Measure Resul- tant Load Vector on Shield Supports. Ch. 68 in Rock Mechanics in Productivity, Protection (25th Symp. on Rock Mechanics, Chicago, IL, June 25-27, 1984). Soc. Min. Eng. AIME, 1984, pp. 667-679.2 Barczak, T. M., and C. A. Goode. Considerations in the Design of Longwall Mining Systems. Published in Proceedings for State-of-the- Art Ground Control in Longwall Mining and Mine Subsidence (Honolulu, HI, Sept. 4-5, 1982). Soc. Min. Eng. AIME, 1982, pp. 39- 50. Barczak, T. M., and S. J. Kravits. Shield-Loading Studies at an Eastern Appalachian Minesite. BuMines RI 9098, 1987, 81 pp. Barczak, T. M., and D. E. Schwemmer. Critical-Load Studies of a Shield Support. BuMines RI 9141, 1987, 15 pp. . Effect of Load Rate on Wood Crib Behavior. BuMines RI 9161, 1988, 11 pp. . Stiffness Characteristics of Longwall Shields. BuMines RI 9154, 1988, 14 pp. Barczak, T. M., and C. L. Tasillo. Factors Affecting Strength and Stability of Wood Cribbing: Height, Configuration, and Horizontal Displacement. BuMines RI 9168, 1988, 23 pp. Barczak, T. M., and P. M. Yavorsky. State-of-the-Art Testing of Powered Roof Support Systems. Paper in Proceedings, Second Conference on Ground Control in Mining, ed. by S. S. Peng. WV Univ., 1982, 64-77 pp. Goode, C. A., T. M. Barczak, and J. Jaspal. Support Selection for the Multilift Mining Method. Paper in Proceedings, First Annual Conference on Ground Control in Mining, ed. by S. S. Peng. WV Univ., 1981, pp. 186-200. U.S. GOVERNMENT PRINTING OFFICE: 611-012/00,070 INT.BU.OF MINES,PGH.,PA 28900 TJ m z SQ a > ■o r- | CD m = w m i CO «* 09 s a> § 3" 5 -m <£ CO ° 3 3 2 <0 o- ° r> ^ (/) "** 00 o o 03 C 5 CO (0 ■ = (D o "° M 5 * 3 r~ O -o "D O 30 3 m •n i— O -< m 33 C.254 89 >» '- *+ o^ *bV . ^ v % °1P* : J^ : Ss /% : '$M; JK -Jraf .- ^ ' V*^r-\^ %*^V v T ^>'' V^V' 'V^-V v ^*-. iT - o^ \r^\?* %N-'**V"* V'*^^*^^ %/*'o^V^ \"^^*A^ * «J|B|| : ^ ^v' %™/ \^/ % fc ^%o° v^-> ^ 0* % *.T.T*' A * ^o^ o • • * .0 v ■c- 4 O »* A * 4 o V, • " ° M \* *>• -* ..-^.- f /\ -.^p:- ** v \ ww. : /\ : -.^^- -* v ^ (*«?* o > ^d« ^O^ "^d* o > ^il^^yrl- 'fjt* r$