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S T R E SS E S IN A P I P E B E N D O F O V A L C R O S S S E C
T I O N
A N D V A R Y I N G W A L L T H I C K N E SS L O A D E D B Y
I N T E R N A L P R E S SU R E
A . AUSTIN '( J . H. SWANNELL
Dep artme nt o f Mechanical and Production Engineering, Trent
Polytechnic, Burton Street ,
No t t i n g h a m NGI 4 B U, Grea t B r i ta in
( R e c e i v e d : 6 J u l y , 1 9 7 8 )
A B S T R A C T
Th e t yp es o f g eo me t r i ca l i r r eg u la r it y a r i s
i n g f r o m th e p r o d u c t i o n o f p ip e b end s a r e
br ie fly d i scussed and for m ula e are presen ted which fac i
l i ta te the ca lcula tion o f
s tresses caused by each individual irregulari ty when the pipe
is subjected to in ternal
pressure .
The ind iv idua l for m ula e are com bined to enab le the s t
ress d i s t r ibu t ion to be
calculated in a p ipe bend under in ternal press ure with a l l
the irregulari t ies d iscussed.
R es u l t s g iven f r o m th e f o r m u la e f o r a t yp ica
l p ip e b en d a r e co mp a r ed w i th r e s u lt s
ob ta ined by the f in i te e lem en t m ethod .
The requ irements and l imi ta t ions o f Br it i sh S tand ards
are d i scussed in compar ison
wi th the pred ic t ions o f the form ula e der ived in th is
paper .
N O M E N C L A T U R E
a S e m i - m a j o r a x is o f e l li p se , i n t e r n a l d
i m e n s i o n .
b S e m i - m i n o r a x is o f e l li p se , i n t e r n a l d
i m e n s i o n .
D M e a n i n t e rn a l d i a m e t e r .
E Y o u n g s m o d u l u s .
( E ) E l l ip t ic i n t e g r a l o f s e c o n d k i n d
.
e E c c e n t r i c i t y .
( K ) E l l i p t ic i n t e g r a l o f f i rs t k i n d .
any - b 2
M o F i x in g m o m e n t .
167
Int. J. Pres. Ves. Pip ing (7)
0 9 7 9 ) - - A p p l i e d S c i en c e P u b l i s h e r s L t
d , E n g l a n d , 1 97 9
P r i n t e d i n G r e a t B r i t a i n
