Abstract:
A disclosed centrifugal boost pump volute includes normal to flow cross sectional surfaces distributed over the length of the passage. The volute includes a volute proper, an exit bend and a diffuser fluidly interconnecting the volute proper to the exit bend. The cross sectional surfaces are defined as dimensions set out in one set of data, which includes Tables N-1 and N-2 for the volute proper and Table N-3 for the volute exit bend, where N is the same value.

Description:
BACKGROUND 
       [0001]    This disclosure relates to an aircraft jet engine mounted fuel centrifugal boost pump, for example, in particular to the centrifugal boost pump volute. 
         [0002]    The centrifugal boost pump is commonly packaged together with the main fuel pump, which is usually of a positive displacement gear pump type, both being driven by a common shaft. The fuel leaving the boost stage goes through a filter and a fuel oil heat exchanger before entering the main pump. Pressure losses are introduced by these components and the associated plumbing, while heat is also added to the fuel. The fuel feeding the centrifugal boost pump comes from the main frame fuel tanks through the main frame plumbing. The tanks are usually vented to the ambient atmospheric pressure, or, in some cases, are pressurized a couple of psi above that. The tanks are provided with immersed pumping devices, which are in some cases axial flow pumps driven by electric motors or turbines, or in other cases ejector pumps, collectively referred to as main frame boost pumps. 
         [0003]    During flight, the pressure in the tank decreases with altitude following the natural depression in the ambient atmospheric pressure. Under normal operating conditions, industry standards require the main frame boost pumps to provide uninterrupted flow to the engine mounted boost pumps at a minimum of 5 psi above the true vapor pressure of the fuel and with no V/L (vapor liquid ratio) or no vapor present as a secondary phase. Under abnormal operation, which amounts to inoperable main frame boost pumps, the pressure at the inlet of the boost stage pumps can be only 2, or 3 psi above the fuel true vapor pressure, while vapor can be present up to a V/L ratio of 0.45, or more. Definition of terms, recommended testing practices, and fuel physical characteristics are outlined in industry specifications and standards like Coordinating Research Council Report 635, AIR 1326, SAE ARP 492, SAE ARP 4024, ASTM D 2779, and ASTM D 3827, for example. 
         [0004]    During normal or abnormal operation, the centrifugal boost pump is required to maintain enough pressure at the main pump inlet under all the operating conditions encountered in a full flight mission such as the main pump can maintain the demanded output flow and pressure to the fuel control and metering unit for continuous and uninterrupted engine operation. There are also limitations in the maximum pressure rise the engine mounted centrifugal boost pump is allowed to deliver such not to exceed the mechanical pressure rating of the fuel oil heat exchanger, or limitations pertaining to minimum impeller blade spacing such as a large contaminant like a bolt lost from maintenance interventions would pass through and be trapped safely in the downstream filter. All these requirements along with satisfying a full flow operating range from large flows during takeoff to a trickle of flow during flight idle descent, and fuel temperature swings from −40 F to 300 F, makes the aerodynamic design of the engine mounted fuel pumps a serious challenge. 
         [0005]    The volute collects the flow which is leaving the impeller in an almost tangential direction and with high velocities close to that of the impeller tip tangential velocity and directs it to the pump discharge port. From the pump inlet to the impeller exit port, the only element which adds power to the fluid is the impeller. The power is supplied at the shaft by the pump driver. A successful pump is expected to deliver the flow at the pump discharge port with relatively low velocities, at the required pressure rise above pump inlet pressure and with the best efficiency possible. 
         [0006]    In general, impellers by themselves present high efficiencies between 75% and 95% depending on the pump size in terms of flow and running speed. The flow stream leaving the impeller exit port, aside from containing potential energy in the form of static pressure, also contains a fair amount of kinetic energy due to the high velocity of the fluid stream. Hence, in order to achieve a high overall efficiency for the entire pump, the volute must provide a high degree of pressure recovery, or transfer as much kinetic energy as possible into potential energy, or static pressure. To achieve this goal, the volute cross section is progressively increased in the direction of flow, which forces the fluid stream to slow down and, in the process, energy is recovered in the form of pressure. 
         [0007]    The volute is composed of three distinct sections. The first section, which wraps around the impeller exit port, is called the volute proper. The second section, which usually is a straight tapered segment with a roundish cross section, is called a diffuser. The last section, which turns the flow from a normal plane relative to the impeller axis to an axial direction, is called exit bend. The need for the exit bend is dictated by the specific requirements of a given application. 
       SUMMARY 
       [0008]    A disclosed boost pump volute includes normal to flow cross sectional surfaces distributed over the length of the passage. The volute includes a volute proper, an exit bend and a diffuser fluidly interconnecting the volute proper to the exit bend. The cross sectional surfaces are defined as dimensions set out in one set of data, which includes Tables N-1 and N-2 for the volute proper and Table N-3 for the volute exit bend, where N is the same value. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0009]    The disclosure can be further understood by reference to the following detailed description when considered in connection with the accompanying drawings wherein: 
           [0010]      FIG. 1  is a schematic of an example fuel delivery system. 
           [0011]      FIG. 2  is a cross-sectional view of the engine mounted boost pump. 
           [0012]      FIG. 3  is a perspective view of the boost stage housing cover showing the volute and a tool cutter used in a milling operation. 
           [0013]      FIG. 4  is a view of the boost stage center plate. The tool cutter is also shown here. 
           [0014]      FIG. 5  is a perspective view of a boost the volute fluid volume. 
           [0015]      FIG. 6  is another perspective view of the volute fluid volume with outlined area depicting the volute proper, volute exit bend, and the diffuser. 
           [0016]      FIG. 7A  is a volute geometry-dimensioning scheme. 
           [0017]      FIG. 7B  is another aspect of the volute geometry-dimensioning scheme shown in  FIG. 7A , including a volute exit bend geometry-dimensioning scheme. 
           [0018]      FIG. 8A  is a cross-sectional view taken along line A-A in  FIG. 7A . 
           [0019]      FIG. 8B  is a cross-sectional view taken along line B-B in  FIG. 7A . 
           [0020]      FIG. 8C  is a cross-sectional view taken along line C-C in  FIG. 7B . 
           [0021]      FIG. 9A  is another volute geometry-dimensioning scheme. 
           [0022]      FIG. 9B  is another aspect of the volute geometry-dimensioning scheme shown in  FIG. 9A , including a volute exit bend geometry-dimensioning scheme. 
           [0023]      FIG. 10A  is a cross-sectional view taken along line A-A in  FIG. 9A . 
           [0024]      FIG. 10B  is a cross-sectional view taken along line B-B in  FIG. 9A . 
           [0025]      FIG. 10C  is a cross-sectional view taken along line C-C in  FIG. 9B . 
           [0026]      FIG. 11A  is yet another volute geometry-dimensioning scheme. 
           [0027]      FIG. 11B  is another aspect of the volute geometry-dimensioning scheme shown in  FIG. 11A , including a volute exit bend geometry-dimensioning scheme. 
           [0028]      FIG. 12A  is a cross-sectional view taken along line A-A in  FIG. 11A . 
           [0029]      FIG. 12B  is a cross-sectional view taken along line B-B in  FIG. 11A . 
           [0030]      FIG. 12C  is a cross-sectional view taken along line C-C in  FIG. 11B . 
       
    
    
     DETAILED DESCRIPTION 
       [0031]    A schematic of an example of engine mounted fuel delivery system, for example, for an aircraft, is illustrated in  FIG. 1 . The system  10  includes a fuel inlet  12  that is fluidly connected to airframe plumbing at engine airframe interface. Fuel is delivered to this interface from the aircraft fuel tanks by means of airframe mounted fuel pumps. A boost pump  14  pressurizes the fuel before providing the fuel to the main pump  18 . Typically, a filter  17  and a heat exchanger  16  are installed in between the boost pump  14  and the main pump  18 . Fuel from the main pump  18  is regulated by a fuel metering unit  20 , which supplies pressure regulated fuel to the engine  22 . 
         [0032]      FIG. 2  shows a cross-sectional view of an example engine-mounted boost and main fuel pump having the longitudinal axis, which corresponds to an axis Z. Only the boost pump  14  is illustrated in  FIG. 2 . The boost pump  14  includes a shrouded impeller  24  rotationally driven by a shaft  23 , which is typically driven by a gearbox mounted on the engine. The impeller  24  is arranged between a boost housing cover  26  and a center plate  28 . Front and rear labyrinth seals  30 ,  32  respectively seal between the impeller  24  and the boost housing cover  26  and center plate  28 . A rear side face seal  46  is also provided between the center plate  28  and the impeller  24  in the example shown. 
         [0033]    The shaft  23  is splined to a drive gear  34 , which is couple to and rotationally drives a driven gear  36 . A drive gear floating bearing  38  and a drive gear fixed bearing  40  support the drive gear  34 . A driven gear floating bearing  42  and a driven gear fixed bearing  44  support the driven gear  36 . 
         [0034]    During operation, fuel flow enters through the inlet from the far right side opening  45  of the boost pump housing cover  26  flowing axially from left to right. The fuel flow then enters first the inducer section  53  of the rotating impeller  24  where the pressure is raised and the eventual air and vapor phase present in the mixture are compressed back in to solution such by the time the fuel flow reaches the impeller section  51  most of the mixture is in the liquid phase. The fuel flow then enters the impeller section  51  where the majority of the pressure rise takes place, while the fluid absolute velocity is greatly increased. The fuel flow leaves the impeller  24  at its outside diameter exit port, or perimeter  62 , under significantly larger pressure and with large velocity in an almost tangential direction. At this location, the flow stream contains potential energy based on the actual static pressure and a good amount of kinetic energy due to the high flow velocity. 
         [0035]    It is the purpose of the volute to gradually capture this flow stream, progressively slow its velocity down and guide it towards the boost pump discharge port. By slowing down the flow stream velocity in a smooth way and without generating of any eddies, the majority of the kinetic energy of the flow stream is transformed into potential energy, or pressure. At the exit port of the boost pump, flow is delivered to the downstream system at much higher pressure than that from the boost pump inlet and with a relatively low velocity commonly used in the fuel system plumbing to deliver the fuel flow throughout the system. 
         [0036]      FIGS. 5 and 6  show a perspective view respectively front view of the fluid zone of the volute. The volute  54  consists of the volute proper  56 , the diffuser  58  and the volute exit bend  60 . A terminal end  61  includes an exit port  63 , which are typically determined by customer requirements. Generally, the volute proper  56  starts at the minimum radial spacing between the impeller  24  and the volute  54  and follows an increased cross-sectional area around the impeller perimeter  62  to, for example, a full 360 degrees. The shape of the cross-sections are progressively changed to accommodate space constraints and, or, ease of manufacturing constraints. The fluid stream velocity in the volute  54  is progressively reduced from the high tangential velocities leaving the impeller  24  to about half of that at the start of the diffuser  58 . The interface between the volute proper  56  and the diffuser section  58  is called a throat. The diffuser  58  is a straight section of continuously increasing area, where the fluid stream velocity is further reduced to half, or a third of its value at the throat. The volute exit bend  60  is intended to make the transition between the diffuser  58  and the pump exit port  63 . Usually, this section consists of a double turn. 
         [0037]      FIGS. 3 and 4  show the boost pump cover  26  and the center plate  28 , which both contain portions of the volute passages. The volute may be machined by using only one cutter  70  on a four-axis milling center, for example. The volute can be cast or machined. In the example, the volute  54  is split into two sections by an imaginary plane P normal to the pump axis of rotation, which is the Z-axis. The first portion is machined into the boost stage housing cover  26 , while the second portion is machined in the center plate  28 , which separates the boost pump from the main pump. In the example, the shape of the volute  54  is designed in such a way to allow for the complete machining of the volute passages by means of using only one end mill cutter on a four-axis milling machine, which reduces cost and increases productivity. As a result of this approach, a better control is maintained on the size and shape of the volute  54  along with obtaining a better surface finish, which translates into higher efficiencies and pressure recovery. 
         [0038]      FIGS. 7A-7B  and  8 A- 8 C show the typical cross-sections defining the volute geometry. The first and second housing portions are provided by the boost pump housing cover  26  and center plate  28  and mate with one another along a plane P, which is perpendicular to the rotational axis Z of the impeller  24 . The cross-sections of the volute proper  56  are shown in  FIGS. 8A and 8B  and represented by the data in Tables N-1 and N-2, wherein N represents one set of data for a given volute. That is, Tables 1-1, 1-2, 1-3 represent data for one example volute ( FIGS. 7A-8C ); Tables 2-1, 2-2, 2-3 represent data for another example volute ( FIGS. 9A-10C ); Tables 3-1, 3-2, 3-3 represent data for yet another example volute ( FIGS. 11A-12C ). 
         [0039]    The volute  54  is defined by inner and outer arcuate walls  72 ,  74  that are radially spaced from one another. The radius “r base” from the axis Z defines the inner arcuate wall  72  and is provided as a ratio to an impeller outer diameter D 2  throughout this disclosure (see  FIG. 2 ). The zero degree starting point, which corresponds to the ‘0’ section number” in the Tables, corresponds to the intersection of the volute proper  56  and the diffuser  58 . The sections in Tables N-1 and N-2 are provided at degree positions “alpha.” 
         [0040]    First and second axial spaced walls  76 ,  78  adjoin the inner and outer arcuate walls  72 ,  74  to provide a generally quadrangular cross-section. One or more of the corners of this quadrangular cross-section may include a radius, which in one example is 0.032 in (0.81 mm). In a first portion of the volute proper  56 , represented by section A-A in  FIG. 8A , the inner and outer arcuate walls  72 ,  74  have a common dimension “b,” and the first and second axial walls  76 ,  78  have a common dimension “h.” The dimensions b, h are provided as a ratio to an impeller outer diameter D 2  throughout this disclosure. The second axial wall  78  lies in the plane P in the first portion. 
         [0041]    In a second portion of the volute proper  56 , represented by section B-B in  FIG. 8B , a circumferentially enlarging tapered pocket is provided. More specifically, the outer arcuate wall  74  includes a dimension “b 2 ,” and the first axial wall  76  includes a dimension “h 1 .” The first arcuate wall  72  includes first and second inner portions  80 ,  82 , wherein the first inner portion  80  adjoins the first axial wall  76  and includes a dimension “b 1 .” The second axial wall  78  includes first and second axial portions  84 ,  86 , wherein the first axial portion  84  adjoins the outer arcuate wall  74  and includes a dimension “h 2 .” Together the second inner and axial portions  82 ,  86  provide a recessed step relative to h 1  and b 2 , and the second axial portion  86  lies in the plane P. The dimensions b 1 , b 2 , h 1 , h 2  are provided as a ratio to an impeller outer diameter D 2  throughout this disclosure. 
         [0042]    The volute exit bend  60  is illustrated by the section C-C in  FIG. 8C , which is provided by the inner and outer arcuate walls  72 ,  74  and the first and second axial walls  76 ,  78 . The “offset Z” corresponds to the axial offset from the plane P in the Z-direction and is the axial midpoint between the first and second axial walls  76 ,  78 . The diffuser  58  is defined by straight lines interconnecting section 0/36 from volute proper  56  to the “section 1” of the volute exit bend  60 . The inner arcuate wall  72  in the diffuser  58  is normal to plane taken in the 0/360 section number, which is perpendicular to the flow direction. The inner arcuate wall  72  in the volute exit bend  60  lies along a radius R in the volute exit bend  60  rather than in the radius “r base.” The sections are provided at section numbers taken at degree locations “beta.” 
         [0043]      FIGS. 9A-9B  and  10 A- 10 C show the typical cross-sections defining another volute geometry. First and second axial spaced walls  176 ,  178  adjoin the inner and outer arcuate walls  172 ,  174  to provide a generally quadrangular cross-section. One or more of the corners of this quadrangular cross-section may include a radius, which in one example is 0.032 in (0.81 mm). In a first portion of the volute proper  156 , represented by section A-A in  FIG. 10A , the inner and outer arcuate walls  172 ,  174  have a common dimension “b,” and the first and second axial walls  176 ,  178  have a common dimension “h.” The second axial wall  178  lies in the plane P in the first portion. 
         [0044]    In a second portion of the volute proper  156 , represented by section B-B in  FIG. 10B , a circumferentially enlarging tapered pocket is provided. More specifically, the outer arcuate wall  174  includes a dimension “b 2 ,” and the first axial wall  176  includes a dimension “h 1 .” The first arcuate wall  172  includes first and second inner portions  180 ,  182 , wherein the first inner portion  180  adjoins the first axial wall  176  and includes a dimension “b 1 .” The second axial wall  178  includes first and second axial portions  184 ,  186 , wherein the first axial portion  184  adjoins the outer arcuate wall  174  and includes a dimension “h 2 .” The first action portion  184  is arcuate in shape and is provided by radii  181 , which are 1.250 inch (31.75 mm) in the example. Together the second inner and axial portions  182 ,  186  provide a recessed step relative to h 1  and b 2 , and the second axial portion  186  lies in the plane P. 
         [0045]    The volute exit bend  160  is illustrated by the section C-C in  FIG. 10C , which is provided by the inner and outer arcuate walls  172 ,  174  and the first and second axial walls  176 ,  178 . The first arcuate wall  176  is curved and is provided by radii  187 , which are 0.125 inch (3.18 mm) in the example. The “offset Z” corresponds to the axial offset from the plane P in the Z-direction and is the axial midpoint between the first and second axial walls  176 ,  178 . The diffuser  158  is defined by straight lines interconnecting section 0/36 from volute proper  156  to the “section 1” of the volute exit bend  160 . The inner arcuate wall  172  in the diffuser  158  is normal to plane taken in the 0/360 section number, which is perpendicular to the flow direction. The inner arcuate wall  172  in the volute exit bend  160  lies along a radius R in the volute exit bend  160  rather than in the radius “r base.” The sections are provided at section numbers taken at degree locations “beta.” 
         [0046]      FIGS. 11A-11B  and  12 A- 12 C show the typical cross-sections defining another volute geometry. First and second axial spaced walls  276 ,  278  adjoin the inner and outer arcuate walls  272 ,  274  to provide a generally quadrangular cross-section. The second arcuate wall  274  includes a centrally located rounded recess  283 , which is provided by a radius of 0.156 inch (3.97 mm) in one example. One or more of the corners of this quadrangular cross-section may include a radius, which in one example is 0.032 in (0.81 mm). In a first portion of the volute proper  256 , represented by section A-A in  FIG. 12A , the inner and outer arcuate walls  272 ,  274  have a common dimension “b,” and the first and second axial walls  276 ,  278  have a common dimension “h.” The second axial wall  278  lies in the plane P in the first portion. 
         [0047]    In a second portion of the volute proper  256 , represented by section B-B in  FIG. 12B , a circumferentially enlarging tapered pocket is provided. More specifically, the outer arcuate wall  274  includes a dimension “b 2 ,” and the first axial wall  276  includes a dimension “h 1 .” The first arcuate wall  272  includes first and second inner portions  280 ,  282 , wherein the first inner portion  280  adjoins the first axial wall  276  and includes a dimension “b 1 .” The second axial wall  278  includes first and second axial portions  284 ,  286 , wherein the first axial portion  284  adjoins the outer arcuate wall  274  and includes a dimension “h 2 .” Together the second inner and axial portions  282 ,  286  provide a recessed step relative to h 1  and b 2 , and the second axial portion  286  lies in the plane P. The second arcuate wall  274  maintains the rounded recess  285  in the second portion of the volute proper  256 , which is provided by a radius of 0.156 inch (3.97 mm) in one example. 
         [0048]    The volute exit bend  260  is illustrated by the section C-C in  FIG. 12C , which is provided by the inner and outer arcuate walls  272 ,  274  and the first and second axial walls  276 ,  278 . The “offset Z” corresponds to the axial offset from the plane P in the Z-direction and is the axial midpoint between the first and second axial walls  276 ,  278 . The diffuser  258  is defined by straight lines interconnecting section  0 / 36  from volute proper  256  to the “section  1 ” of the volute exit bend  260 . The inner arcuate wall  272  in the diffuser  258  is normal to plane taken in the 0/360 section number, which is perpendicular to the flow direction. The inner arcuate wall  272  in the volute exit bend  260  lies along a radius R in the volute exit bend  260  rather than in the radius “r base.” The sections are provided at section numbers taken at degree locations “beta.” The corners of this quadrangular cross-section may include a radius, which in one example 0.156 inch (3.97 mm). 
         [0049]    Tables N- 1 , N- 2  and N- 3  defining the volute and exit bend geometry provide the values for the critical dimensions in accordance with  FIG. 7A-12C  to four decimal points. The dimension provided in the Tables are subject to typical manufacturing tolerances of +/−0.010 inches on surface profile which have been considered and deemed acceptable to maintain the mechanical and aerodynamic function of these components. Thus, the mechanical and aerodynamic functions of the component are not impaired by manufacturing imperfections and tolerances, which in different embodiments may be greater or lesser than the values set forth in the disclosed Tables. As appreciated by those skilled in the art, manufacturing tolerances may be determined to achieve a desired mean and standard deviation of manufactured components in relation to the ideal component profile points set forth in the disclosed Tables. 
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 1-1 
               
               
                   
               
               
                 Section 
                 Alpha 
                 r base/D2 
                 h/D2 
                 b/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 0 
                 0 
                   
                   
                   
               
               
                 1 
                 10 
                 0.5123 
                 0.0255 
                 0.0789 
               
               
                 2 
                 20 
                 0.5123 
                 0.0295 
                 0.0789 
               
               
                 3 
                 30 
                 0.5123 
                 0.0335 
                 0.0789 
               
               
                 4 
                 40 
                 0.5123 
                 0.0375 
                 0.0789 
               
               
                 5 
                 50 
                 0.5123 
                 0.0416 
                 0.0789 
               
               
                 6 
                 60 
                 0.5123 
                 0.0458 
                 0.0789 
               
               
                 7 
                 70 
                 0.5123 
                 0.0499 
                 0.0789 
               
               
                 8 
                 80 
                 0.5123 
                 0.0542 
                 0.0789 
               
               
                 9 
                 90 
                 0.5123 
                 0.0584 
                 0.0789 
               
               
                 10 
                 100 
                 0.5123 
                 0.0627 
                 0.0789 
               
               
                 11 
                 110 
                 0.5123 
                 0.0671 
                 0.0789 
               
               
                 12 
                 120 
                 0.5123 
                 0.0715 
                 0.0789 
               
               
                 13 
                 130 
                 0.5123 
                 0.0759 
                 0.0789 
               
               
                 14 
                 140 
                 0.5123 
                 0.0804 
                 0.0789 
               
               
                 15 
                 150 
                 0.5123 
                 0.0849 
                 0.0789 
               
               
                 16 
                 160 
                 0.5123 
                 0.0895 
                 0.0789 
               
               
                 17 
                 170 
                 0.5123 
                 0.0941 
                 0.0789 
               
               
                 18 
                 180 
                 0.5123 
                 0.0987 
                 0.0789 
               
               
                 19 
                 190 
                 0.5123 
                 0.1035 
                 0.0789 
               
               
                 20 
                 200 
                 0.5123 
                 0.1082 
                 0.0789 
               
               
                 21 
                 210 
                 0.5123 
                 0.1130 
                 0.0789 
               
               
                 22 
                 220 
                 0.5123 
                 0.1179 
                 0.0789 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
           
               
                 TABLE 1-2 
               
               
                   
               
               
                 Section 
                 Alpha 
                 r base/D2 
                 b1/D2 
                 b2/D2 
                 h1/D2 
                 h2/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                 22 
                 220 
                 0.5123 
                 0.0789 
                 0.0793 
                 0.1179 
                 0.0868 
               
               
                 23 
                 230 
                 0.5123 
                 0.0789 
                 0.0830 
                 0.1183 
                 0.0868 
               
               
                 24 
                 240 
                 0.5123 
                 0.0789 
                 0.0868 
                 0.1188 
                 0.0868 
               
               
                 25 
                 250 
                 0.5123 
                 0.0789 
                 0.0906 
                 0.1192 
                 0.0868 
               
               
                 26 
                 260 
                 0.5123 
                 0.0789 
                 0.0944 
                 0.1197 
                 0.0868 
               
               
                 27 
                 270 
                 0.5123 
                 0.0789 
                 0.0982 
                 0.1201 
                 0.0868 
               
               
                 28 
                 280 
                 0.5123 
                 0.0789 
                 0.1021 
                 0.1206 
                 0.0868 
               
               
                 29 
                 290 
                 0.5123 
                 0.0789 
                 0.1059 
                 0.1210 
                 0.0868 
               
               
                 30 
                 300 
                 0.5123 
                 0.0789 
                 0.1098 
                 0.1214 
                 0.0868 
               
               
                 31 
                 310 
                 0.5123 
                 0.0789 
                 0.1137 
                 0.1219 
                 0.0868 
               
               
                 32 
                 320 
                 0.5123 
                 0.0789 
                 0.1176 
                 0.1223 
                 0.0868 
               
               
                 33 
                 330 
                 0.5123 
                 0.0789 
                 0.1215 
                 0.1228 
                 0.0868 
               
               
                 34 
                 340 
                 0.5123 
                 0.0789 
                 0.1255 
                 0.1232 
                 0.0868 
               
               
                 35 
                 350 
                 0.5123 
                 0.0789 
                 0.1294 
                 0.1237 
                 0.0868 
               
               
                 36 
                 360 
                 0.5123 
                 0.0789 
                 0.1334 
                 0.1241 
                 0.0868 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 1-3 
               
               
                   
               
               
                 Section 
                 Beta 
                 R/D2 
                 b/D2 
                 h/D2 
                 offset z/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 3.75 
                 0.2667 
                 0.1800 
                 0.1383 
                 0.0000 
               
               
                 2 
                 7.50 
                 0.2667 
                 0.1801 
                 0.1433 
                 0.0001 
               
               
                 3 
                 11.25 
                 0.2667 
                 0.1802 
                 0.1483 
                 0.0002 
               
               
                 4 
                 15.00 
                 0.2667 
                 0.1804 
                 0.1533 
                 0.0004 
               
               
                 5 
                 18.75 
                 0.2667 
                 0.1808 
                 0.1583 
                 0.0008 
               
               
                 6 
                 22.50 
                 0.2667 
                 0.1814 
                 0.1633 
                 0.0014 
               
               
                 7 
                 26.25 
                 0.2667 
                 0.1823 
                 0.1683 
                 0.0023 
               
               
                 8 
                 30.00 
                 0.2667 
                 0.1834 
                 0.1733 
                 0.0034 
               
               
                 9 
                 33.75 
                 0.2667 
                 0.1849 
                 0.1783 
                 0.0049 
               
               
                 10 
                 37.50 
                 0.2667 
                 0.1867 
                 0.1833 
                 0.0067 
               
               
                 11 
                 41.25 
                 0.2667 
                 0.1889 
                 0.1883 
                 0.0089 
               
               
                 12 
                 45.00 
                 0.2667 
                 0.1915 
                 0.1933 
                 0.0115 
               
               
                 13 
                 48.75 
                 0.2667 
                 0.1946 
                 0.1983 
                 0.0146 
               
               
                 14 
                 52.50 
                 0.2667 
                 0.1983 
                 0.2033 
                 0.0183 
               
               
                 15 
                 56.25 
                 0.2667 
                 0.2025 
                 0.2083 
                 0.0225 
               
               
                 16 
                 60.00 
                 0.2667 
                 0.2073 
                 0.2133 
                 0.0273 
               
               
                 17 
                 63.75 
                 0.2667 
                 0.2128 
                 0.2183 
                 0.0328 
               
               
                 18 
                 67.50 
                 0.2667 
                 0.2189 
                 0.2233 
                 0.0389 
               
               
                 19 
                 71.25 
                 0.2667 
                 0.2257 
                 0.2283 
                 0.0457 
               
               
                 20 
                 75.00 
                 0.2667 
                 0.2333 
                 0.2333 
                 0.0533 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Section 
                 Alpha 
                 r base/D2 
                 h/D2 
                 b/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 0 
                 0 
                   
                   
                   
               
               
                 1 
                 10 
                 0.5000 
                 0.0003 
                 0.0579 
               
               
                 2 
                 15 
                 0.5000 
                 0.0014 
                 0.0579 
               
               
                 3 
                 20 
                 0.5000 
                 0.0026 
                 0.0579 
               
               
                 4 
                 25 
                 0.5000 
                 0.0038 
                 0.0579 
               
               
                 5 
                 30 
                 0.5000 
                 0.0050 
                 0.0579 
               
               
                 6 
                 35 
                 0.5000 
                 0.0062 
                 0.0579 
               
               
                 7 
                 40 
                 0.5000 
                 0.0074 
                 0.0579 
               
               
                 8 
                 45 
                 0.5000 
                 0.0086 
                 0.0579 
               
               
                 9 
                 50 
                 0.5000 
                 0.0099 
                 0.0579 
               
               
                 10 
                 55 
                 0.5000 
                 0.0111 
                 0.0579 
               
               
                 11 
                 60 
                 0.5000 
                 0.0124 
                 0.0579 
               
               
                 12 
                 65 
                 0.5000 
                 0.0137 
                 0.0579 
               
               
                 13 
                 70 
                 0.5000 
                 0.0150 
                 0.0579 
               
               
                 14 
                 75 
                 0.5000 
                 0.0163 
                 0.0579 
               
               
                 15 
                 80 
                 0.5000 
                 0.0177 
                 0.0579 
               
               
                 16 
                 85 
                 0.5000 
                 0.0190 
                 0.0579 
               
               
                 17 
                 90 
                 0.5000 
                 0.0204 
                 0.0579 
               
               
                 18 
                 95 
                 0.5000 
                 0.0218 
                 0.0579 
               
               
                 19 
                 100 
                 0.5000 
                 0.0232 
                 0.0579 
               
               
                 20 
                 105 
                 0.5000 
                 0.0246 
                 0.0579 
               
               
                 21 
                 110 
                 0.5000 
                 0.0260 
                 0.0579 
               
               
                 22 
                 115 
                 0.5000 
                 0.0275 
                 0.0579 
               
               
                 23 
                 120 
                 0.5000 
                 0.0289 
                 0.0579 
               
               
                 24 
                 125 
                 0.5000 
                 0.0304 
                 0.0579 
               
               
                 25 
                 130 
                 0.5000 
                 0.0319 
                 0.0579 
               
               
                 26 
                 135 
                 0.5000 
                 0.0335 
                 0.0579 
               
               
                 27 
                 140 
                 0.5000 
                 0.0350 
                 0.0579 
               
               
                 28 
                 145 
                 0.5000 
                 0.0366 
                 0.0579 
               
               
                 29 
                 150 
                 0.5000 
                 0.0382 
                 0.0579 
               
               
                 30 
                 155 
                 0.5000 
                 0.0398 
                 0.0579 
               
               
                 31 
                 160 
                 0.5000 
                 0.0414 
                 0.0579 
               
               
                 32 
                 165 
                 0.5000 
                 0.0431 
                 0.0579 
               
               
                 33 
                 170 
                 0.5000 
                 0.0447 
                 0.0579 
               
               
                 34 
                 175 
                 0.5000 
                 0.0464 
                 0.0579 
               
               
                 35 
                 180 
                 0.5000 
                 0.0481 
                 0.0579 
               
               
                 36 
                 185 
                 0.5000 
                 0.0499 
                 0.0579 
               
               
                 37 
                 190 
                 0.5000 
                 0.0516 
                 0.0579 
               
               
                 38 
                 195 
                 0.5000 
                 0.0534 
                 0.0579 
               
               
                 39 
                 200 
                 0.5000 
                 0.0552 
                 0.0579 
               
               
                 40 
                 205 
                 0.5000 
                 0.0571 
                 0.0579 
               
               
                 41 
                 210 
                 0.5000 
                 0.0589 
                 0.0579 
               
               
                 42 
                 215 
                 0.5000 
                 0.0608 
                 0.0579 
               
               
                 43 
                 220 
                 0.5000 
                 0.0627 
                 0.0579 
               
               
                 44 
                 225 
                 0.5000 
                 0.0647 
                 0.0579 
               
               
                 45 
                 230 
                 0.5000 
                 0.0666 
                 0.0579 
               
               
                 46 
                 235 
                 0.5000 
                 0.0686 
                 0.0579 
               
               
                 47 
                 240 
                 0.5000 
                 0.0706 
                 0.0579 
               
               
                 48 
                 245 
                 0.5000 
                 0.0727 
                 0.0579 
               
               
                 49 
                 250 
                 0.5000 
                 0.0748 
                 0.0579 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
           
               
                 TABLE 2-2 
               
               
                   
               
               
                 Section 
                 Alpha 
                 r base/D2 
                 b1/D2 
                 b2/D2 
                 h1/D2 
                 h2/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                 50 
                 255 
                 0.5000 
                 0.0579 
                 0.0588 
                 0.0769 
                 0.0639 
               
               
                 51 
                 260 
                 0.5000 
                 0.0579 
                 0.0608 
                 0.0791 
                 0.0670 
               
               
                 52 
                 265 
                 0.5000 
                 0.0579 
                 0.0629 
                 0.0796 
                 0.0674 
               
               
                 53 
                 270 
                 0.5000 
                 0.0579 
                 0.0647 
                 0.0800 
                 0.0679 
               
               
                 54 
                 275 
                 0.5000 
                 0.0579 
                 0.0664 
                 0.0805 
                 0.0684 
               
               
                 55 
                 280 
                 0.5000 
                 0.0579 
                 0.0683 
                 0.0810 
                 0.0689 
               
               
                 56 
                 285 
                 0.5000 
                 0.0579 
                 0.0701 
                 0.0815 
                 0.0693 
               
               
                 57 
                 290 
                 0.5000 
                 0.0579 
                 0.0720 
                 0.0820 
                 0.0698 
               
               
                 58 
                 295 
                 0.5000 
                 0.0579 
                 0.0738 
                 0.0825 
                 0.0703 
               
               
                 59 
                 300 
                 0.5000 
                 0.0579 
                 0.0756 
                 0.0829 
                 0.0708 
               
               
                 60 
                 305 
                 0.5000 
                 0.0579 
                 0.0774 
                 0.0834 
                 0.0708 
               
               
                 61 
                 310 
                 0.5000 
                 0.0579 
                 0.0792 
                 0.0839 
                 0.0714 
               
               
                 62 
                 315 
                 0.5000 
                 0.0579 
                 0.0809 
                 0.0844 
                 0.0723 
               
               
                 63 
                 320 
                 0.5000 
                 0.0579 
                 0.0826 
                 0.0849 
                 0.0727 
               
               
                 64 
                 325 
                 0.5000 
                 0.0579 
                 0.0858 
                 0.0854 
                 0.0732 
               
               
                 65 
                 330 
                 0.5000 
                 0.0579 
                 0.0874 
                 0.0858 
                 0.0737 
               
               
                 66 
                 335 
                 0.5000 
                 0.0579 
                 0.0889 
                 0.0863 
                 0.0742 
               
               
                 67 
                 340 
                 0.5000 
                 0.0579 
                 0.0903 
                 0.0868 
                 0.0746 
               
               
                 68 
                 345 
                 0.5000 
                 0.0579 
                 0.0918 
                 0.0873 
                 0.0751 
               
               
                 69 
                 350 
                 0.5000 
                 0.0579 
                 0.0931 
                 0.0878 
                 0.0757 
               
               
                 70 
                 355 
                 0.5000 
                 0.0579 
                 0.0945 
                 0.0882 
                 0.0757 
               
               
                 71 
                 360 
                 0.5000 
                 0.0579 
                 0.0957 
                 0.0887 
                 0.0789 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 2-3 
               
               
                   
               
               
                 Section 
                 Beta 
                 R/D2 
                 b/D2 
                 h/D2 
                 offset z/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 3.50 
                 0.2676 
                 0.1555 
                 0.1141 
                 0.0000 
               
               
                 2 
                 7.00 
                 0.2676 
                 0.1556 
                 0.1161 
                 0.0001 
               
               
                 3 
                 10.50 
                 0.2676 
                 0.1557 
                 0.1183 
                 0.0005 
               
               
                 4 
                 14.00 
                 0.2676 
                 0.1559 
                 0.1207 
                 0.0011 
               
               
                 5 
                 17.50 
                 0.2676 
                 0.1563 
                 0.1233 
                 0.0022 
               
               
                 6 
                 21.00 
                 0.2676 
                 0.1569 
                 0.1260 
                 0.0037 
               
               
                 7 
                 24.50 
                 0.2676 
                 0.1577 
                 0.1288 
                 0.0059 
               
               
                 8 
                 28.00 
                 0.2676 
                 0.1588 
                 0.1317 
                 0.0088 
               
               
                 9 
                 31.50 
                 0.2676 
                 0.1602 
                 0.1347 
                 0.0126 
               
               
                 10 
                 35.00 
                 0.2676 
                 0.1619 
                 0.1378 
                 0.0172 
               
               
                 11 
                 38.50 
                 0.2676 
                 0.1641 
                 0.1410 
                 0.0229 
               
               
                 12 
                 42.00 
                 0.2676 
                 0.1666 
                 0.1442 
                 0.0298 
               
               
                 13 
                 45.50 
                 0.2676 
                 0.1696 
                 0.1476 
                 0.0379 
               
               
                 14 
                 49.00 
                 0.2676 
                 0.1731 
                 0.1509 
                 0.0473 
               
               
                 15 
                 52.50 
                 0.2676 
                 0.1772 
                 0.1544 
                 0.0582 
               
               
                 16 
                 56.00 
                 0.2676 
                 0.1818 
                 0.1579 
                 0.0706 
               
               
                 17 
                 59.50 
                 0.2676 
                 0.1871 
                 0.1614 
                 0.0847 
               
               
                 18 
                 63.00 
                 0.2676 
                 0.1930 
                 0.1650 
                 0.1006 
               
               
                 19 
                 66.50 
                 0.2676 
                 0.1996 
                 0.1687 
                 0.1183 
               
               
                 20 
                 70.00 
                 0.2676 
                 0.2069 
                 0.1724 
                 0.1379 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 3-1 
               
               
                   
               
               
                 Section 
                 Alpha 
                 r base/D2 
                 h/D2 
                 b/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 10 
                 0.5000 
                 0.0010 
                 0.0863 
               
               
                 2 
                 15 
                 0.5000 
                 0.0029 
                 0.0863 
               
               
                 3 
                 20 
                 0.5000 
                 0.0046 
                 0.0863 
               
               
                 4 
                 25 
                 0.5000 
                 0.0061 
                 0.0863 
               
               
                 5 
                 30 
                 0.5000 
                 0.0075 
                 0.0863 
               
               
                 6 
                 35 
                 0.5000 
                 0.0088 
                 0.0863 
               
               
                 7 
                 40 
                 0.5000 
                 0.0100 
                 0.0863 
               
               
                 8 
                 45 
                 0.5000 
                 0.0111 
                 0.0863 
               
               
                 9 
                 50 
                 0.5000 
                 0.0123 
                 0.0863 
               
               
                 10 
                 55 
                 0.5000 
                 0.0134 
                 0.0863 
               
               
                 11 
                 60 
                 0.5000 
                 0.0145 
                 0.0863 
               
               
                 12 
                 65 
                 0.5000 
                 0.0155 
                 0.0863 
               
               
                 13 
                 70 
                 0.5000 
                 0.0166 
                 0.0863 
               
               
                 14 
                 75 
                 0.5000 
                 0.0176 
                 0.0863 
               
               
                 15 
                 80 
                 0.5000 
                 0.0186 
                 0.0863 
               
               
                 16 
                 85 
                 0.5000 
                 0.0196 
                 0.0863 
               
               
                 17 
                 90 
                 0.5000 
                 0.0206 
                 0.0863 
               
               
                 18 
                 95 
                 0.5000 
                 0.0216 
                 0.0863 
               
               
                 19 
                 100 
                 0.5000 
                 0.0226 
                 0.0863 
               
               
                 20 
                 105 
                 0.5000 
                 0.0236 
                 0.0863 
               
               
                 21 
                 110 
                 0.5000 
                 0.0246 
                 0.0863 
               
               
                 22 
                 115 
                 0.5000 
                 0.0255 
                 0.0863 
               
               
                 23 
                 120 
                 0.5000 
                 0.0266 
                 0.0863 
               
               
                 24 
                 125 
                 0.5000 
                 0.0275 
                 0.0863 
               
               
                 25 
                 130 
                 0.5000 
                 0.0285 
                 0.0863 
               
               
                 26 
                 135 
                 0.5000 
                 0.0295 
                 0.0863 
               
               
                 27 
                 140 
                 0.5000 
                 0.0305 
                 0.0863 
               
               
                 28 
                 145 
                 0.5000 
                 0.0315 
                 0.0863 
               
               
                 29 
                 150 
                 0.5000 
                 0.0325 
                 0.0863 
               
               
                 30 
                 155 
                 0.5000 
                 0.0336 
                 0.0863 
               
               
                 31 
                 160 
                 0.5000 
                 0.0346 
                 0.0863 
               
               
                 32 
                 165 
                 0.5000 
                 0.0356 
                 0.0863 
               
               
                 33 
                 170 
                 0.5000 
                 0.0366 
                 0.0863 
               
               
                 34 
                 175 
                 0.5000 
                 0.0377 
                 0.0863 
               
               
                 35 
                 180 
                 0.5000 
                 0.0387 
                 0.0863 
               
               
                 36 
                 185 
                 0.5000 
                 0.0398 
                 0.0863 
               
               
                 37 
                 190 
                 0.5000 
                 0.0409 
                 0.0863 
               
               
                 38 
                 195 
                 0.5000 
                 0.0420 
                 0.0863 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 3-2 
               
               
                   
               
               
                 Section 
                 Alpha 
                 r base/D2 
                 h/D2 
                 b/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 39 
                 200 
                 0.5000 
                 0.0431 
                 0.0863 
               
               
                 40 
                 205 
                 0.5000 
                 0.0442 
                 0.0863 
               
               
                 41 
                 210 
                 0.5000 
                 0.0453 
                 0.0863 
               
               
                 42 
                 215 
                 0.5000 
                 0.0465 
                 0.0863 
               
               
                 43 
                 220 
                 0.5000 
                 0.0477 
                 0.0863 
               
               
                 44 
                 225 
                 0.5000 
                 0.0488 
                 0.0863 
               
               
                 45 
                 230 
                 0.5000 
                 0.0500 
                 0.0863 
               
               
                 46 
                 235 
                 0.5000 
                 0.0512 
                 0.0863 
               
               
                 47 
                 240 
                 0.5000 
                 0.0525 
                 0.0863 
               
               
                 48 
                 245 
                 0.5000 
                 0.0537 
                 0.0863 
               
               
                 49 
                 250 
                 0.5000 
                 0.0550 
                 0.0863 
               
               
                 50 
                 255 
                 0.5000 
                 0.0562 
                 0.0863 
               
               
                 51 
                 260 
                 0.5000 
                 0.0575 
                 0.0863 
               
               
                 52 
                 265 
                 0.5000 
                 0.0589 
                 0.0863 
               
               
                 53 
                 270 
                 0.5000 
                 0.0602 
                 0.0863 
               
               
                 54 
                 275 
                 0.5000 
                 0.0615 
                 0.0863 
               
               
                 55 
                 280 
                 0.5000 
                 0.0629 
                 0.0863 
               
               
                 56 
                 285 
                 0.5000 
                 0.0643 
                 0.0863 
               
               
                 57 
                 290 
                 0.5000 
                 0.0657 
                 0.0863 
               
               
                 58 
                 295 
                 0.5000 
                 0.0671 
                 0.0863 
               
               
                 59 
                 300 
                 0.5000 
                 0.0686 
                 0.0863 
               
               
                 60 
                 305 
                 0.5000 
                 0.0700 
                 0.0863 
               
               
                 61 
                 310 
                 0.5000 
                 0.0715 
                 0.0863 
               
               
                 62 
                 315 
                 0.5000 
                 0.0730 
                 0.0863 
               
               
                 63 
                 320 
                 0.5000 
                 0.0746 
                 0.0863 
               
               
                 64 
                 325 
                 0.5000 
                 0.0761 
                 0.0863 
               
               
                 65 
                 330 
                 0.5000 
                 0.0777 
                 0.0863 
               
               
                 66 
                 335 
                 0.5000 
                 0.0793 
                 0.0863 
               
               
                 67 
                 340 
                 0.5000 
                 0.0810 
                 0.0863 
               
               
                 68 
                 345 
                 0.5000 
                 0.0826 
                 0.0863 
               
               
                 69 
                 350 
                 0.5000 
                 0.0843 
                 0.0863 
               
               
                 70 
                 355 
                 0.5000 
                 0.0860 
                 0.0863 
               
               
                 71 
                 360 
                 0.5000 
                 0.0877 
                 0.0863 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 3-3 
               
               
                   
               
               
                 Section 
                 Beta 
                 R/D2 
                 b/D2 
                 h/D2 
                 offset z/D2 
               
               
                 number 
                 [deg] 
                 [in] 
                 [in] 
                 [in] 
                 [in] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 2.50 
                 0.271 
                 0.1354 
                 0.1419 
                 0.0000 
               
               
                 2 
                 5.00 
                 0.269 
                 0.1391 
                 0.1452 
                 0.0001 
               
               
                 3 
                 7.50 
                 0.267 
                 0.1427 
                 0.1486 
                 0.0005 
               
               
                 4 
                 10.00 
                 0.265 
                 0.1464 
                 0.1519 
                 0.0011 
               
               
                 5 
                 12.50 
                 0.263 
                 0.1500 
                 0.1552 
                 0.0021 
               
               
                 6 
                 15.00 
                 0.261 
                 0.1537 
                 0.1585 
                 0.0037 
               
               
                 7 
                 17.50 
                 0.259 
                 0.1574 
                 0.1618 
                 0.0059 
               
               
                 8 
                 20.00 
                 0.257 
                 0.1610 
                 0.1651 
                 0.0087 
               
               
                 9 
                 22.50 
                 0.255 
                 0.1647 
                 0.1684 
                 0.0124 
               
               
                 10 
                 25.00 
                 0.253 
                 0.1683 
                 0.1718 
                 0.0171 
               
               
                 11 
                 27.50 
                 0.251 
                 0.1720 
                 0.1751 
                 0.0227 
               
               
                 12 
                 30.00 
                 0.249 
                 0.1757 
                 0.1784 
                 0.0295 
               
               
                 13 
                 32.50 
                 0.247 
                 0.1793 
                 0.1817 
                 0.0375 
               
               
                 14 
                 35.00 
                 0.245 
                 0.1830 
                 0.1850 
                 0.0469 
               
               
                 15 
                 37.50 
                 0.242 
                 0.1866 
                 0.1883 
                 0.0576 
               
               
                 16 
                 40.00 
                 0.240 
                 0.1903 
                 0.1917 
                 0.0699 
               
               
                 17 
                 42.50 
                 0.238 
                 0.1939 
                 0.1950 
                 0.0839 
               
               
                 18 
                 45.00 
                 0.236 
                 0.1976 
                 0.1983 
                 0.0996 
               
               
                 19 
                 47.50 
                 0.234 
                 0.2013 
                 0.2016 
                 0.1171 
               
               
                 20 
                 50.00 
                 0.232 
                 0.2049 
                 0.2049 
                 0.1366 
               
               
                   
               
             
          
         
       
     
         [0050]    Although an example embodiment has been disclosed, a worker of ordinary skill in this art would recognize that certain modifications would come within the scope of the claims. For that reason, the following claims should be studied to determine their true scope and content.