s.s. "Maasdam" - Hydrostatische gegevens voor diepgangen van 5.00 m tot 9.00 m opklimmende met 1 cm diepgang

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H y d r o s t a t i s c h e / ! ; e g e v e n 3 . I n h o u d . R i r . 1 E a r . 2 E a r . 3 I ^ r . 4 P a r . 5 P a r . 6 P a r . 7 P a r . 8 I n l e i d i n g H o o f d a f m e t i n g e n en v o o r n a a m s t e g e g e v e n s N a u v « r k e u r i g h e i d d e r t a b e l l e n I n v l o e d d e r s c h e e p s d o o r b u i ^ l n g T a b e l l e n d e r h y d r o s t a t i s c h e g r o o t h e d e n V o o r b e e l d v o o r h e t g e b r u i k d e r t a b e l l e n A p p e n d i x . B a s i s o f s c h a r n i e r w a a r d e n d e r h y d r o s t a t i s c h e g e g e v e n s . H e r l e i d i n g s t a b e l v a n v o e t e n e n d u i m e n i n m e t e r s .

Scheepvaart Inspectie

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3 . 3 . "l^iaasdam"

Ily d r o s t a t I s che (• e geve ns •

P a r . 1 I n l e i d i n g Het a f l e z e n v a n de d i v e r s e h y d r o s t a t i s c h e g r o o t h e d e n u i t h e t b e r e k e n i n g s d i a g r a m i s i n v e r b a n d met de b i j g e s c h r e v e n s c h a l e n e n de l i j n e n v a n w a a r u i t g e m e t e n moet w o r d e n d i k w i j l s en z e l f s v o o r s c h e e p s b o u w k u n d i g e n een b r o n v a n f o u t e n e n i s d a a r b i j o m s l a c h t i g . Temeer d a a r ons t e g e n w o o r d i g de m a t h e m a t i s c h e h u l p m i d d e l e n t e n d i e n s t e s t a a n om u i t een g e g e v e n s t e l s e l b a s i s w a a r d e n d o o r s u b t a b e l l e r e n de t u s s e n l i g g e n d e w a a r d e n m a c h i n a a l met i e d e r e g e -w e n s t e g r a a d v a n n a u w k e u r i g h e i d f o u t l o o s t e b e r e k e n e n,i s h e t g e b r u i k v a n een b e re k e n i n g s d i a g r a m v e r o u d e r d e n t r e e d t h i e r v o o r i n de p l a a t s de v e e l e e n v o u d i g e r t e g e b r u i k e n t a b e l , w e l k e i n p a r . 5 t e v i n d e n i s H i e r u i t i s v o o r e l k e g e h e l e cm d i e p g a n g d i r e c t h e t " d e a d w e i g h t " de v e r p l a a t s i n g i n z e e - e n z o e t w a t e r , h e t z w a a r t e p u n t d e r v e r p l a a t -s i n g en v a n d « w a t e r l i j n , e n h e t moment v o o r 1 cm t r i r a v e r a n d e r i n g , z o n d e r i n t e r p o l a t i e a f t e l e z e n . I n d i e n men o n d e r d e l e n v a n cm i n r e k e n i n g w e n s t t e b r e n g e n k a n d a t g e s c h i e d e n d o o r l i n e a i r e i n t e r p o l a t i e , d o c h v e e l p h y s i s c h e b e -t e k e n i s h e e f -t d i t n i e t . P r a c t i s c h e r r o n d men a l l e s w a t b e n e d e n e e n h a l v e cm i s n a a r b e n e d e n e n w a t e r b o v e n o f g e l i j k i s n a a r b o v e n a f . P a r . 2 H o o f d a f m e t i n g e n v a n h e t s c h i p e n v o o r n a a m s t e g e g e v e n s . Len^^e t u s s e n de l o o d l i j n e n B r e e d t e op s p a n t e n H o l t e t o t " A " dek ( s c h o t t e n d e k ) " " h o o f d d e k " " p r o m e n a d e d e k G e r e d u c e e r d e h o l t e ( i n c l u s i e f a l l e o p b o u w e n ) ïl-^ G r o o t s t e d i e p g a n g ( s c h o t t e n v o o r s c h r i f -t e n ) B i j b e h o r e n d e d i e p g a n g op d i e p g a n g s m e r k e n v o o r e n a c h t e r ( d o o r b u i g i n g z i e P a r . 4 ) V e r p l a a t s i n g i n t s a 1016 k g l e e g 3 , c h e e p s g e w i c h t i n c l u s i e f .112 t s r e s e r v e e n 2200 t s v a s t e b a l l a s t D e a d w e i g h t ( g r o o t s t e ) 4 7 4 ' - 1 1 " = 1 4 4 , 7 5 m 6 9 ' - O" = 2 1 , 0 3 ' m 4 2 ' - O" = 5 1 ' - O" = 5 9 ' - 6" = 6 4 ' - 6 J r " = 2 8 ' - 9 " = 1 2 , 8 0 m 1 5 , 5 4 5 ra 1 8 , 1 3 5 ra 1 9 , 6 6 m 2 8 » - j " • 8 , 6 ^ 5 ra 1 7 8 5 7 . t.s^' 1 0 8 0 0 7057 t s t s

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- 2 -G e w i c h t z w a a r t e p i i n t l e e g s c h i p t. o . v . b a s i s l i j n (47,0?^ v a n H-^) G e w i c h t z w a a r t e p u n t l e e g s c h i p t . o. v . 1/2 l e n g t e l o o d l i j n e n Machine v e r m o g e n t \ a r b i n e i n s t a l l a t i e 8500 B . H. P . b i j N = 83 m i n . Behouden s n e l h e i d ( n o r m a a l w e e r e n schone h u i d ) V o l h e i d s c o e f f i c i e n t - l „ , 2 8 m 9 , 2 2 m 0 , 6 5 3 0 , 7 5 8 0 , 9 7 8 1 7 , - k n . " d e r w a t e r l i j n oc G r o o t s p a n t c o ë f f i c i ë n t /3 P a r . 3 N a u w k e u r i g h e i d d e r t a b e l Ue n a u w k e u r i g h e i d d e r t a b e l w o r d t d o o r v e r s c h i l l e n d e o m s t a n -d i g h e -d e n b e ï n v l o e -d . De m a t e n -d e r s p a n t b r e e -d t e op -de v e r s c h i l l e n -d e w a t e r l i j n e n z i j n genomen v a n e e n op s c h a a l 1 : 25 u i t g e s t r o o k t l i j n e n p l a n . De n a u w k e u r i g h e i d v a n h e t o p m e t e n v a n d i t p l a n i s z e k e r n i e t h o g e r d a n c i r c a 3 ram, maar d o o r d a t m e e r d e r e m e t i n g e n g e d a a n w e r d e n i s de h i e r d o o r o n t s t a n e f o u t t e v e i r w a a r l o z e n e n k u n n e n de h i e r u i t b e r e k e n d e ^ p r o o t h e d e n v r i j w e l a l s j u i s t aangenomen w o r d e n i n d i e n n a t u u r l i j k de k i e l v a n h e t s c h i p r e c h t i s « Van d e z e b e r e k e n d e w a a r d e n v o o r h o l e ' m e t e r s d i e p g a n g b o v e n de b a s i s l i j n w e r d e n de l e , 2 e , 3e e n 4e d i f f e r e n t i e s b e p a a l d . E r b l e k e n n u i n de b e r e k e n d e w a a r d e n k l e i n e f o u t e n v a n e n k e l e e e n h e d e n v a n h e t l a a t s t e c i j f e r t e z i t t e n , w e l k e d o o r r e l a x a t i e v e r w i j d e r d w e r d e n w a a r d o o r de b a s i s w a a r d e n v o o r de s u b t a b e l i e r i n g o n t s t o n d e n w e l k e i n p a r . 7 a p p e n d i x z i j n g e g e v e n . Deze g e g e v e n s k u n n e n n u r e d e l i j k e r -w i j s a l s j u i s t v e r o n d e r s t e l d -w o r d e n . De s u b t a b e l i e r i n g i s u i t g e v o e r d met de f o r m u l e v a n E v e r e t t d o o r u i t g a a n d e v a n de l e i d e n d e s u b d i f f e r e n t i e s de f u n c t i e w a a r d e n op de N a t i o n a a l r e k e n m a c h i n e u i t de 4e d i f f e r e n t i e o p t e b o u w e n . De u i t de r e k e n m a c h i n e komende p a p i e r s t r o k e n w e r d e n op de v e r z a m e l -s t a t e n ( z i e p a r . 5 ) g e p l a k t en h i e r v a n w e r d e n f o t o c o p i e ë n gemaalct. Op deze w i j z e z i j n f o u t e n v r i j w e l u i t g e s l o t e n . De s u b t a b e l l e r i n g w e r d u i t g e v o e r d d o o r h e t M a t h e m a t i s c h C e n t r u m t e Arasterdam Men k a n d o o r r e c h t l i j n i g i n t e r p o l e r e n i n de t a b e l p a r . 5 de b a s i s p u n t e n o f s c h a r n i e r w a a r d e n v a n p a r . 7 w a a r v a n i s u i t g e g a a n , o o n H i r o l e r e n e n deze m o e t e n e x a c t d . w . z . t o t e n met h e t l a a t s t e c i j f e r j u i s t g e r e p r o d u c e e r d w o r d e n . Deze c o n t r o l e v o o r k o m t f o u t e n i n de l a a t s t e c i j f e r s . Deze n a u w k e u r i g h e i d v a n é é n e e n h e i d v a n h e t l a a t s t e c i j f e r i s d o o r de g e h e l e t a b e l g e h a n d h a a f d d a a r h i e r d o o r de v e r s c h i l l e n t u s s e n de f u n c t i e w a a r d o n o n d e r l i n g r e g e l m a t i g e r v e r -l o p e n t e r w i j -l d o o r de m a c h i n a -l e b e r e t e n i n g s m e t h o d e v r i j w e -l n i e t 3

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3 -meer t i j d h i e r v o o r n o d i g i s . D i r e c t z i n v o l u i t e e n p h y s i s c h o o g p u n t z i j n deze l a a t s t e c i j f e r s n i e t , w a n t t e n e e r s t e i s de n a u v d c e u r i g -h e i d waarmede -h e t s c -h i p gebouwd i s z e k e r n i e t g r o t e r d a n e n l c e l e m i l l i m e t e r s op de h a l v e b r e e d t e . H e t n a t o p p e r v l a k v a n h e t s c h i p b i j v o l l e d i e p g a n g i s 2,6C | / 1 7 5 0 0 . 1 4 4 , 7 5 = 4240 ra2, dus e l k e mm v e r s c h i l l n h a l v e b r e e d t e niaalct e e n v e r s c h i l v a n 8 , 3 t s i n de w a t e r v e r p l a a t s i n g . De w a a r s c h i j n l i j k e f o u t d o o r de s c h e e p s c o n -s t r u c t i e z a l du-s c i r c a + 10 t -s b e d r a g e n . Ook de i n v l o e d v a n de t e m p . i s v a n d e z e l f d e o r d e v a n g r o o t t e . Want s t e l b . v . d a t h-et s c h i p b i j + 4 ° C e l c . e e n v e r p l a a t s i n g h e e f t v a n 17790 t s i n z e e w a t e r o f 17634 m3 d a n o n t s t a a t d o o r l o " t e m p e r a t u u r s -v e r h o g i n g , a a n g e z i e n de c u b i e k e u i t z e t t i n g s c o e f f . v a n s t a a l 3, 6 . l o ' ^ i s , e e n v e r g r o t i n g d e r v e r p l a a t s i n g i n d i e n h e t s . g . v a n ' t z e e w a t e r h e t z e l f d e z o u b l i j v e n v a n : 1 7 6 3 4 . 3 , 5 . 1 0 * 5 . 1 0 = 6 , 3 m3, b i j d e z e l f d e d i e p g a n g . B i j 4 ° i s s . g , w a t e r 1,000 e n b i j 1 4 ° 1 = 0 , 9 9 9 2 7 . 1 , 0 0 0 7 3 De v e r p l a a t s i n g i n w a t e r v a n 1 4 ° C e l c . z a l dus z i j n : 1 7 6 4 0 , 3 . 0 , 9 9 9 2 7 = 1 7 6 2 7 , 4 t i n z o e t w a t e r = 1 8 0 6 8 , 1 t i n z e e , , w a t e r o f 1 7 7 8 3 , 6 t s a 1016 k g . We z i e n dus d a t d o o r de s t i j g i n g d e r t e m p e r a t u u r v a n 1 0 ° G e l e . de v e r p l a a t s i n g b i j d e z e l f d e d i e p g a n g 17790 - 1 7 7 8 3 , 6 = 6 , 3 t s i s a f g e n o m e n . P e r g r a a d C e l c . t e m p e r a t u u r s t i j g i n g neemt dus de v e r p l a a t s i n g r o n d 0 , 6 t s a f . H e t b l i j l c f c dus d a t h e t l a a t s t e c i j f e r d e r s u b t a b e l l a t i e . n i e t d i r e c t z i n v o l i s en v o o r a l n i e t a l s men de i n de v o l g e n d e p a r a g r a a f b e s p r o k e n i n v l o e d d e r s c h e e p s d o o r b u i g i n g i n de b e s c h o u w i n g b e t r e k t . P a r . 4 . I n v l o e d d e r s c h e e p s d o o r b u i g i n g B i j de b e p a l i n g d e r w a t e r v e r p l a a t s i n g b i j e e n g e g e v e n d i e p g a n g en omgekeerd b i j de b e p a l i n g v a n d e d i e p g a n g v o o r e e n z e k e r s c h e e p s -g e w i c h t moet men e r r e k e n i n -g mee h o u d e n d a t h e t s c h i p h o l i s d o o r g e b o g e n . De d i e p g a n g e n i n de h e l l i n g s p r o e f t o e s t a n d w a r e n : 7,063m ; =^ 6,492 m T ( m i d d e n ) = 6.,862 m ^~6^T70m ' ^ (ë e m l M) = 6^778 m De d o o r b u i g i n g i s .0^084 m Door de d i e p g a n g e n a c h t e r , raidden en v o o r i s e e n p a r a b o l i s c h g e b o g e n w a t e r l i j n g e t r o k k e n e n v o o r deze w a t e r l i j n i s de v e r p l a a t s i n g b e r e -k e n d . Aangenomen i s d u s d a t h e t s c h i p i s d o o r g e b o g e n v o l g e n s e e n t w e e d e g r a a d s p a r a b o o l . B i j deze w a t e r l i j n b e h o o r t e e n v e r p l a a t s i n g i n z o e t w a t e r v a n 13,558 t a 1000 k g . 4

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„ 4

-v o o r e e n r e c h t e k i e l z o u -v o l g e n s h e t b e r e k e n i n g s d i a g r a m o f v o l g e n s de h y d r o s t a t i s c h e gegevens de g e l i j k l ^ s t i g e d i e p g a n g v o o r

d e z e l f d e v e r p l a a t s i n g 6 , 8 5 8 m b e d r a g e n i . p . v . de g e m i d d e l d e d i e p -gang v a n 6 ^ i a Het b l i , ) k t dus d a t de h o l l e d o o r b u i g i n g v a n h e t

s c h i p o v e r e e n k o m t met 8 cm d i e p e r z a k l c i n g v a n h e t z e l f d e s c h i p met r e c h t e k i e l . T e r v e r d u i d e l i j k i n g v o l g e n t h a n s 2 v o o r b e e l d e n . V o o r b e e l d 1 . Gegeven : A f g e l e z e n w o r d t op de d i e p g a n g s m e r k e n — = 6, 1 4 3 = 5, 7 4 3 , dus T g ^ ^ i ê l d . = 5 , 9 4 3 m G e v r a a g d : De v e r p l a a t s i n g i n z o e t w a t e r i n t s . O p l o s s i n g : De g e m i d d e l d e d i e p g a n g i s 5 , 9 4 3 m Door de h o l l e d o o r b u i g i n g v a n h e t s c h i p komt d i t o v e r -e -e n m-et -e -e n d i -e p g a n g v a n 5 , 9 4 3 m + 0 , 0 8 m = 6, 0 2 3 m v o o r een s c h i p met r e c h t e k i e l . v o l g e n s de t a b e l d e r h y d r o s t a t i s c h e gegevens i s de w a t o r v e r p l a a t s i n g d a n 11312 t s . V o o r b e e l d 2 . I H e t s c h i p h e e f t v o l g e n s b e r e k e n i n g d e r l a d i n g g e w x c h t e n e n v o o r r a d e n een g e w i c h t v a n 15725 t s a 1016 k g , t e r -w i j l de l i g g i n g v a n z -w a a r t e p u n t g e -w i c h t en v e r p l a a t s i n g zo i s , d a t de t r i m v a n h e t s c h i p i n z o e t w a t e r n u l i s . g e v r a a g d : W e l l c e ' d i e p g a n g e n moet men dan i n z o e t w a t e r v a n de d i e p

-g a n -g s m e r k e n a f l e z e n , o p l o s s i n g : V o l g e n s de t a b e l v a n de h y d r o s t a t i s c h e g e g e v e n s b e h o o r t b i j h e t g e w i c h t v a n 15725 t s een g e l i j k l a s t i g e d i e p g a n g v a n 8 , 0 2 3 m. D o o r de h o l l e d o o r b u i g i n g v a n h e t s c h i p z a l men dus op de d i e p g a n g s m e r k e n 8 , 0 2 3 m - 0 , 0 8 m = 7 , 9 4 3 ra a f l e z e n . B i j de b e s t u d e r i n g d e r b o r e k e n i n g s b l a d e n map L 336 b i z . 22 t o t e n met 4 1 d i e n t men t e b e d e n k e n d a t de g e m i d d e l d e d i e p g a n g e n z i j n b e p a a l d v o l g e n s h e t b e r e k e n i n g s d i a g r a m d a t e c h t e r op de d i e p g a n g e n v ó ó r en a c h t e r de c o r r e c t i e v a n 0 , 0 8 m i s a a n g e b r a c h t , o p d a t e e n c o n t r o l e d e r b e r e k e n d e d i e p g a n g m o g e l i j k i s , i n d i e n b i j g e r e g e l d e c o n t r o l e b l i j k t d a t h e t s c h i p i n d e r d a a d c o n -s t a n t 0 , 0 8 m h o l i -s d o o r g e b o g e n , z o u h e t a a n b e v e l i n g v e r d i e n e n o p d e n duur de d i e p g a n g s m e r k e n i e t s o m l a a g t e z e t t e n . H i e r t e g e n z u l l e n de S c h e e p v a a r t I n s p e c t i e en l l o y d s b i j t i j d i g e w a a r s c h u w i n g g e e n b e z w a a r maken, 5

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