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       In general, the tonnage necessary to draw a shell of 
        round or rectangular shape is a function of the area of metal in the wall 
        (i.e. = mean perimeter and metal thickness). This is true because at any 
        given time, the force necessary to deform the metal equals the area of 
        metal being deformed multiplied by the yield strength of the material. 
        (In calculating these forces tensile strength is used, since this will 
        either draw the part, push out the bottom or tear the walls). This is 
        generally true for parts having odd shapes, although there are other factors 
        involved which complicate the operation. 
         
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    | ROUND SHELLS | 
  
   
      
        
           
              | 
            TONNAGE = 
                Π x D x T x TENSILE STRENGTH/2000  | 
           
         
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    | RECTANGULAR SHELLS | 
  
   
     
        
           
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                TONNAGE = 
                  2 x (L+W) x T x TENSILE STRENGTH/2000 
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    Mechanical punch presses are designed 
        to deliver their maximum tonnage near the bottom of the stroke. Since 
        drawing work actually starts before bottom, the full tonnage will not 
        be available. The above results, therefore, should be multiplied by "G" 
        factor when this type press is used.  | 
  
   
     
        
           
            H  | 
            "G"  | 
            H  | 
            "G"  | 
            H  | 
            "G"  | 
            H  | 
            "G"  | 
           
           
            1/2  | 
            1  | 
            3  | 
            1.75  | 
            10  | 
            3  | 
            18  | 
            4  | 
           
           
            1  | 
            1  | 
            4  | 
            2  | 
            12  | 
            3.25  | 
            20  | 
            4.25  | 
           
           
            1 1/2  | 
            1.5  | 
            6  | 
            2.5  | 
            14  | 
            3.5  | 
            22  | 
            4.5  | 
           
           
            2  | 
            1.5  | 
            8  | 
            2.75  | 
            16  | 
            3.75  | 
            24  | 
            4.75  | 
           
         
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    Ring Holding Pressure or Force 
      The primary function of the draw ring is to hold the blank while it is being 
      formed to prevent wrinkles. Since the resistance to wrinkling becomes greater 
      as the metal thickness increases, the necessary R.H.F. decreases. Experience 
      indicates that a close approximation to the R.H.P. can be obtained by multiplying 
      the tonnage required to draw the shell by "J" factor (Chart 2). 
      Note: Disregard "G" factor for this calculation. | 
  
   
     | 
  
   
     
        Press Tonnage 
          Size of press necessary to draw shell in question is as follows: 
          MINIMUM PRESS TONNAGE = SHELL TONNAGE PLUS CUSHION TONNAGE (RHP) 
         Example 
          Determine the size of mechanical press required to draw the shell pictured. 
        | 
  
   
    | DRAW TONNAGE = Π x (2.50 - 0.06) x 0.06 
      x 55,000 / 2000 = 12.7 T x 1.5 ("G") = 19.0 T | 
  
   
    |  CUSHION TONNAGE = 
      12.7 x 0.133 ("J") = 1.7 T | 
  
   
    | MINIMUM MECHANICAL PRESS TONNAGE = 19.0 T 
      + 1.7 T = 20.7 T  | 
  
   
    | MINIMUM HYDRAULIC PRESS TONNAGE = 12.7 T 
      + 1.7 T = 14.4 T | 
  
   
     |