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    .5 The Drawing ProcessIn

    drawing,

    t h e c r o s s - s e c t i o n o f a l o n g r o d o r w i r e t y p i c a l l y

    i s r e du c ed o r c h an g ed b y p u ll i ng (h e nc e t h e t e rm d raw i ng )

    i t th rough a d ieca l led a

    draw d ie

    (Fig. 8 .5) . Thus, the difference between drawing andextrusion

    is that in extrusion the material is pushed through a die, whereasin

    d r a w i n g i t i s p u l l e d t h r o u g h i t . R o d a n d w i r e p r o d u c t s

    c o v e r a

    v e r y w i d e r a n g e o f a p p l i c a t i o n s , i n c l u d i n g r o d s f o r

    s h a f t s f o r p o w e r a n d motion transmissions, machine and

    structural components, and as

    blanksf o r b o l t s a n d r i v e t s , e l e c t r i c a l w i r i n g , c a b l e s , t e ns i o n - l o a d e d s t r u c t u r a l m e m b e r s , w e l d i n g e l e c t r o d e s ,

    s p r i ng s , p a p er c l i ps , s p o ke s f o r b i c yc l e wheels, and

    st r inged musica l ins t ruments .The major process ing var iab les

    i n d r a w i n g a r e s i m i l a r t o t h o s e i n e x t r u s i o n -

    t h a t i s , r e d u c t i o n i n c r o s s - s e c t i o n a l a r e a , d i e a n g l e ,

    f r i c t i o n a l o n g t h e d i e - w o r k p i e c e

    i n t e r f a c e s , a n d d r a w i n g s p e e d . T h e d i e a n g l e i nf lu en ce s

    t h e d ra w in g fo rc e a n d t h e q u al i ty o f t h e d ra w n p ro d uc t A s

    can be seen f r om these equat ions , the dr awing for ceinc reases a s reduc t ion inc reases . However , t he re has to be a

    l imi t to the magni tude of the force , because when the tens i le

    s t r es s re a ch e s t h e y i el d s t re s s o f th e me t a l b e i n g d r a w n , t h e

    w o r k - p i e c e w i l l s i m p l y y i e l d a n d , e v e n t u a l l y , b reak. I t

    can be shown tha t , idea l ly and without f r ic t ion , the

    maximum r e du c t i o n i n c r o s s - s e c t i o na l a r e a p e r p a s s i s

    6 3 % . T h us , f o r e x a mp l e , a 1 0 - m m d i a me t e r r o d c a n b e

    r e d uc e d ( a t m o s t ) t o a d i a me t e r o f 6 . 1 m m in one pass

    wi thout fa i lu re . I t c a n b e s h o w n t h a t , f o r a c e r t a i n

    r e d u c t i o n i n d i a m e t e r a n d a c er ta in f r ic t ion-a lcondi t ion , there i s an

    opt imum die angle

    a t which thedrawing force i s a min imum. This does no t mean

    t ha t t he p ro ces s s h oul d b e c a r r i e d o u t a t t h i s o p t i m u m

    a n g l e , b e c a u s e t h e r e a r e o t h e r p r o d u c t qual i ty

    considera t ions

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    Opt imum Die Angle

    Selec t ion of the proper d ie angle i s c ruc ia l for the success of

    any

    w ir ed r aw in g o pe r at io n. B as ed o n t he f ac t t ha t f ri ct io na lw or k i nc re as es w it h d ec re as in g d ie a ng le a nd r ed un da nt

    w or k i nc re as es w it h i nc re as in g d ie a ng le , a n o pt im um

    approach angle should ex is tone which

    m in im iz es b ot h f r ic ti on al a nd r e du nd an t w or k a nd , a s a

    consequence ,

    the drawing force . A number of inves t iga tors have conf i rmed

    tha t a

    ba lance be tween f r ic t ional and redundant work can be

    achievedt hr ou gh p ro pe r s el ec ti on o f t he d ie a ng le . T hi s e ff ec t i s

    i l lus t ra ted in

    7F

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