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1/4

2 5 . 1 1 . 2 0 1 5

C a l c u l a t i o n s o f t h e c o n n e c t i o n : C i r c u l a r t u b e s - E n d p l a t e - C a l c u l a t i o n s 2

G e n e r a l I n f o r m a t i o n

S e c t i o n 1 : T R O N 1 3 9 x 5

M a t e r i a l : S 2 7 5

D p 1 = 1 3 9 . 7 m m S e c t i o n d i a m e t e r

t p 1 = 5 m m S e c t i o n t h i c k n e s s

A p 1 = 2 1 . 1 6 c m 2 S e c t i o n a r e a

I p y = 4 8 0 . 5 4 c m 4 M o m e n t o f i n e r t i a

W p l = 9 0 . 7 6 c m 3 P l a s t i c s e c t i o n m o d u l u s

W = 6 8 . 8 c m 3 E l a s t i c s e c t i o n m o d u l u s

f y p = 2 7 5 M P a R e s i s t a n c e

S e c t i o n 2 : T R O N 1 3 9 x 5

M a t e r i a l : S 2 7 5

D p 2 = 1 3 9 . 7 m m S e c t i o n d i a m e t e r

t p 2 = 5 m m S e c t i o n t h i c k n e s s

A p 2 = 2 1 . 1 6 c m 2 S e c t i o n a r e a

I p y = 4 8 0 . 5 4 c m 4 M o m e n t o f i n e r t i a

W p l = 9 0 . 7 6 c m 3 P l a s t i c s e c t i o n m o d u l u s

W = 6 8 . 8 c m 3 E l a s t i c s e c t i o n m o d u l u s

f y p = 2 7 5 M P a R e s i s t a n c e

E n d p l a t e s :

M a t e r i a l : S 2 3 5

b p = 2 6 0 m m P l a t e d i a m e t e r

t p = 1 5 m m P l a t e t h i c k n e s s

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2/4

2 5 . 1 1 . 2 0 1 5

f y p = 2 3 5 M P a R e s i s t a n c e

B o l t s :

d = 1 6 m m D i a m e t e r

c l = 8 . 8 C l a s s

n = 6 N u m b e r o f b o l t s

e 1 = 3 0 . 1 5 m m D i s t a n c e f r o m p r o f i l e t o b o l t s

e 2 = 3 0 m m D i s t a n c e f r o m b o l t s t o e d g e o f e n d p l a t e

p 2 = 6 0 d e g B o l t s p a c i n g

W e l d s :

a = 3 . 5 m m W e l d t h i c k n e s s

S a f e t y f a c t o r s :

M 0 = 1

M 1 = 1

M 2 = 1 . 2 5

M 3 = 1 . 2 5

C a s e : C a s e 1 :

F o r c e s :

N = 5 2 k N A x i a l f o r c e

M = 0 k N m B e n d i n g m o m e n t

V = 0 k N S h e a r f o r c e

C a p a c i t y v e r i f i c a t i o n

R e s u l t s o f c a l c u l a t i o n s

R e s i s t a n c e s o f c o m p o n e n t s

F t , R d = 9 0 . 4 3 k N T e n s i o n r e s i s t a n c e o f s i n g l e b o l t [ t a b . 3 . 4 ]

F v , R d = 6 0 . 2 9 k N S h e a r r e s i s t a n c e o f s i n g l e b o l t [ t a b . 3 . 4 ]

F b , R d = 6 2 . 6 7 k N B e a r i n g r e s i s t a n c e f o r s i n g l e b o l t [ t a b . 3 . 4 ]

B p , R d = 2 1 0 . 5 k N P u n c h i n g s h e a r r e s i s t a n c e o f a b o l t [ t a b . 3 . 4 ]

M c , R d = 2 9 . 9 k N m D e s i g n r e s i s t a n c e o f t h e s e c t i o n f o r b e n d i n g o f s e c t o n 1

E N 1 9 9 3 - 1 - 1 : [ 6 . 2 . 5 ]

C l a s s : 1 S e c t i o n c l a s s o f s e c t i o n 1 E N 1 9 9 3 - 1 - 1 : [ 5 . 5 . 2 ]

M c , R d = 2 9 . 9 k N m D e s i g n r e s i s t a n c e o f t h e s e c t i o n f o r b e n d i n g o f s e c t i o n 2

E N 1 9 9 3 - 1 - 1 : [ 6 . 2 . 5 ]

C l a s s : 1 S e c t i o n c l a s s o f s e c t i o n 2 E N 1 9 9 3 - 1 - 1 : [ 5 . 5 . 2 ]

T e n s i o n c a p a c i t y o f c o n n e c t i o n

R e s i s t a n c e s o f c o m p o n e n t s

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3/4

2 5 . 1 1 . 2 0 1 5

S e c t i o n 1 S e c t i o n 2

F T 1 , R d = 4 6 5 . 8 4 k N 4 6 5 . 8 4 k N C o m p l e t e e n d p l a t e y i e l d i n g N C C I : S N 0 4 4 a

F T 2 , R d = 3 6 1 . 4 2 k N 3 6 1 . 4 2 k N B o l t f a i l u r e w i t h e n d p l a t e y i e l d i n g N C C I : S N 0 4 4 a

F T 3 , R d = 5 4 2 . 5 9 k N 5 4 2 . 5 9 k N B o l t f a i l u r e N C C I : S N 0 4 4 a

T e n s i o n c a p a c i t y o f c o n n e c t i o n

N j , R d = m i n ( F T 1 , R d , F T 2 , R d , F T 3 , R d )

S e c t i o n 1 : N j , R d = 3 6 1 . 4 2 k N

S e c t i o n 2 : N j , R d = 3 6 1 . 4 2 k N

V e r i f i c a t i o n o f t e n s i o n c a p a c i t y :

S e c t i o n 1 : N / N j , R d = 0 . 1 4 < 1 . 0 T h e c o n d i t i o n i s s a t i s f i e d ( 1 4 % )

S e c t i o n 2 : N / N j , R d = 0 . 1 4 < 1 . 0 T h e c o n d i t i o n i s s a t i s f i e d ( 1 4 % )

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

V e r i f i c a t i o n o f w e l d s

S e c t i o n 1 S e c t i o n 2

A w = 5 9 . 1 3 c m 2 5 9 . 1 3 c m 2 T o t a l a r e a o f w e l d s

A w y = 1 5 . 5 1 c m

2

1 5 . 5 1 c m

2

A r e a o f v e r t i c a l w e l d sI w y = 1 4 4 2 . 4 8 c m 4 1 4 4 2 . 4 8 c m 4 M o m e n t o f i n e r t i a o f w e l d s a b o u t Y a x i s

p e r p = p e r p = 6 . 2 2 M P a 6 . 2 2 M P a P e r p e n d i c u l a r s t r e s s i n w e l d s

p a r = 0 M P a 0 M P a P a r a l l e l s t r e s s i n w e l d s

w = 0 . 8 0 . 8 A p p r o p r i a t e c o r r e l a t i o n f a c t o r [ t a b . 4 . 1 ]

S e c t i o n 1 :

S q r t [ ( p e r p 2 + 3 ( p e r p 2 + p a r 2 ) ] < = f u / ( w * M 2 ) ; 1 2 . 4 4 M P a < 4 3 0 M P a T h e c o n d i t i o n i s s a t i s f i e d ( 3 % )

p e r p < = 0 , 9 * f u / M 2 ; 6 . 2 2 M P a < 3 0 9 . 6 M P a T h e c o n d i t i o n i s s a t i s f i e d ( 2 % )

S e c t i o n 2 :

S q r t [ ( p e r p 2 + 3 ( p e r p 2 + p a r 2 ) ] < = f u / ( w * M 2 ) ; 1 2 . 4 4 M P a < 4 3 0 M P a T h e c o n d i t i o n i s s a t i s f i e d ( 3 % )

p e r p < = 0 , 9 * f u / M 2 ; 6 . 2 2 M P a < 3 0 9 . 6 M P a T h e c o n d i t i o n i s s a t i s f i e d ( 2 % )

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

A d d i t i o n a l c o n d i t i o n

S e c t i o n 1 : N / N t , R d = 0 . 0 3 < 1 . 0 T h e c o n d i t i o n i s s a t i s f i e d

S e c t i o n 2 : N / N t , R d = 0 . 0 3 < 1 . 0 T h e c o n d i t i o n i s s a t i s f i e d

F i n a l v e r i f i c a t i o n

C o n n e c t i o n v e r i f i c a t i o n f o r s e c t i o n 1 :

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4/4

2 5 . 1 1 . 2 0 1 5

V e r i f i c a t i o n o f c o n n e c t i o n F E d f o r c e F R d - c a p a c i t y R a t i o F E d / F R d

T e n s i o n c a p a c i t y o f c o n n e c t i o n N = 5 2 k N N j , R d = 3 6 1 . 4 2 k N 1 4 %W e l d s c a p a c i t y 1 2 . 4 4 M P a 4 3 0 M P a 3 %

T e n s i o n c a p a c i t y o f p r o f i l e N = 5 2 k N N t , R d = 1 4 9 1 . 8 4 k N 3 %

C o n n e c t i o n v e r i f i c a t i o n f o r s e c t i o n 2 :

V e r i f i c a t i o n o f c o n n e c t i o n F E d f o r c e F R d - c a p a c i t y R a t i o F E d / F R d

T e n s i o n c a p a c i t y o f c o n n e c t i o n N = 5 2 k N N j , R d = 3 6 1 . 4 2 k N 1 4 %

W e l d s c a p a c i t y 1 2 . 4 4 M P a 4 3 0 M P a 3 %

T e n s i o n c a p a c i t y o f p r o f i l e N = 5 2 k N N t , R d = 1 4 9 1 . 8 4 k N 3 %

T h e c o n n e c t i o n c o n f o r m s t o t h e ( E N 1 9 9 3 - 1 - 8 : 2 0 0 5 / A C : 2 0 0 9 )