I N S T Y T U T P O L I T E C H N I C Z N Y
K I E R U N E K : B U D O W N I C T W O
K o n s t r u k c j e D r e w n i a n e
K o n s t r u k c j e D r e w n i a n e
K o n s t r u k c j e D r e w n i a n e
P R O J E K T N R 1
T e m a t : Z a p r o j e k t o w a e l e m e n t y p Ba t w i o w o
Z a p r o j e k t o w a e l e m e n t y p Ba t w i o w o
Z a p r o j e k t o w a e l e m e n t y p Ba t w i o w o -
k l e s z c z o w e j w i |b y d a c h o w e j .
k l e s z c z o w e j w i |b y d a c h o w e j .
k l e s z c z o w e j w i |b y d a c h o w e j .
N a z w i s k o I m i M a r c i n S t o l p
R o k / G r u p a 2 0 1 5 r .
R o k a k a d e m i c k i 2 0 1 4 / 2 0 1 5 r .
O c e n a
S c h e m a t D a c h u
4 0 9 , 6 8 4 0 9 , 6 8
1 1 4 0
D a c h p Ba t w i o w o k l e s z c z o w y ( o b l i c z e n i a )
Z e s t a w i e n i e o b c i |e D d a c h u
O b c i |e n i a s t a Be n a 1 m 2 p o Ba c i d a c h o w e j ( w g P N - E N 1 9 9 1 - 1 - 1 : 2 0 0 4 )
C i |a r
O b c i |e n i e c h a r a k t e r y s t y c z n e
o b j t o [c i o w y
L p . W a r s t w a d a c h u
G [ k N / m 2 ]
[ k N / m 3 ]
1 B l a c h o d a c h w k a - - 0 , 0 4 7
Aa t y 4 x 5 c m
0 , 0 4 "0 , 0 5 "4 , 6
= 0 , 0 3 0 7
2 4 , 6
0 , 3 0
c o 3 0 c m
K o n t r Ba t y 4 x 5 c m
0 , 0 4 " 0 , 0 5 " 4 , 6
= 0 , 0 0 9 2
3 4 , 6
1 , 0
c o 1 0 0 c m
4 - - 0 , 0 0 1 4
M e m b r a n a
5 0 1 , 0 2
1 0 0
0
5
2
2
5
,
1
1
5
p a r o p r z e p u s z c z a l n a
K r o k w i e 8 x 1 8
0 , 0 8 "0 , 1 8 "4 , 6
= 0 , 0 6 6 ; 0 , 0 9 2 - k r . 1 0 x 2 0
5 4 , 6
1 , 0
c o 1 0 0 c m
P o m i d z y k r o k w i a m i - w e Bn a
m i n e r a l n a
6 1 0 , 1 5 1 = 0 , 1 5
o g r . 1 5 c m
P o m i d z y p r o f i l a m i C D - w e Bn a
m i n e r a l n a
7 1 0 , 0 5 1 = 0 , 0 7 5
o g r . 5 , 0 c m
P r o f i l e N I D A C D 4 5
8 - - 0 , 0 0 4 1 4 / 0 , 4 = 0 , 0 1
c o 4 0 c m
9 F o l i a p a r o i z o l a c y j n a - - 0 , 0 0 1 2
P By t a g i p s o w o k a r t o n o w a
1 0 7 , 2 0 , 0 1 2 5 7 , 2 = 0 , 0 9
o g r . 1 , 2 5 c m
S U M A 0 , 4 3 2 1 ; 0 , 5 1 k r . 1 2 , 5 x 2 5
O b c i |e n i e c h a r a k t e r y s t y c z n e G = 0 , 4 3 2 1 k N / m 2 p o Ba c i d a c h u .
O b c i |e n i e c h a r a k t e r y s t y c z n e G z k r o k w i 1 0 x 2 0 [ c m ] = 0 , 5 1 k N / m 2 p o Ba c i d a c h u .
D
C i |a r o b j t o [c i o w y d r e w n a k l a s y w y t r z y m a Bo [c i C 3 0 = , 1
O b c i |e n i a z m i e n n e :
O b c i |e n i e [n i e g i e m ( w g P N - E N 1 9 9 1 - 1 - 3 : 2 0 0 5 )
O b c i |e n i e c h a r a k t e r y s t y c z n e [n i e g i e m n a 1 m 2 r z u t u p o Ba c i d a c h u w t r w a Be j i p r z e j [c i o w e j s y t u a c j i
o b l i c z e n i o w e j :
=
- B B !
1
w g . N o r m y P N - E N 1 9 9 1 - 1 - 1 t a b . A . 3 ( s t r . 2 7 )
- [ ! | [
- B
- B
- , [ ] w g . t a b . N B 1 N O R M A P N E N 1 9 9 1 - 1 - 3 : 2 0 0 5 ( s t r . 4 ) - s t r e f a I
- , ( ) 2
- ,
= = , = , = , ; =
O b c i |e n i e c h a r a k t e r y s t y c z n e :
D
= = , , , , = ,
P r z y p a d k i :
=
=
0 , 8 2 1 k N / m 2 0 , 8 2 1 k N / m 2
( i ) ( 1 1
) = 0 , 5 8 6 6 ( 2
) = 0 , 5 8 6 6
1
0 , 4 1 k N / m 2 0 , 8 2 1 k N / m 2
2
T e r e n n o r m a l n y o b s z a r , n a k t r y c h n i e w y s t p u j e z n a c z c e p r z e n o s z e n i e [n i e g u p r z e z w i a t r n a b u d o w l e z p o w o d u
u k s z t a Bt o w a n i a t e r e n u , i n n y c h b u d o w l i l u b d r z e w .
( i i ) 0 , 5 ( 1 1
) = 0 , 2 9 3 ( 2
) = 0 , 5 8 6 6
1
0 , 8 2 1 k N / m 2 0 , 4 1 k N / m 2
( i i i ) ( 1 1
) = 0 , 5 8 6 6 0 , 5 ( 2
) = 0 , 2 9 3
1
P r z y p a d e k ( I ) d o t y c z y o b c i |e n i a [n i e g i e m d a c h u r w n o m i e r n e g o .
P r z y p a d e k ( I I ) i ( I I I ) d o t y c z y o b c i |e n i a [n i e g i e m d a c h u n i e r w n o m i e r n e g o .
P r z y j t o = ,
O b c i |e n i e w i a t r e m ( w g P N - E N 1 9 9 1 - 1 - 4 : 2 0 0 8 )
B u d y n e k u s y t u o w a n y j e s t w I I s t r e f i e o b c i |e n i a w i a t r e m i I I k a t e g o r i i t e r e n u .
- O b l i c z e n i e v ( b a z o w e j p r d k o [c i w i a t r u ) :
b
= , = 1 , 0 1 , 0 2 6 = /
g d z i e :
c = 1 , 0 ( w s p Bc z y n n i k k i e r u n k o w y )
d i r
c = 1 , 0 ( w s p Bc z y n n i k s e z o n o w y )
s e a s o n
v = 2 6 m / s d l a A ( w y s o k o [c i n a d p o z i o m e m m o r z a ) < 3 0 0 m s t r e f a 2
b , 0
- I n t e n s y w n o [ t u r b u l e n c j i
1 1
= = = ,
l n l n ,
- W s p Bc z y n n i k c h r o p o w a t o [c i
= 0 , 1 9 l n = 0 , 1 9 l n , = ,
= 0 , 0 5
- W a r t o [ s z c z y t o w a c i [n i e n i a p r d k o [c i
1
! = 1 + 7 ! !
2
1
D
= 1 + 7 0 , 1 6 4 1 , 2 5 0 , 9 7 2 6 = 8 5 3 , 8 9 5
2
D
= ,
= 1 , 2 5 k g / m 3 ( w a r t o [ z a l e c a n a )
v = 2 6 m / s
b
- W z r p o t g o w y n a w s p Bc z y n n i k e k s p o z y c j i
, ,
! 2 4
! = 2 , 3 = 2 , 3 = 2 , 7 8
1 0 1 0
- W a r t o [ s z c z y t o w a c i [n i e n i a p r d k o [c i n a w y s o k o [c i
o d n i e s i e n i a = 2 4
D
2 4 = 2 , 7 8 0 , 3 = 0 , 8 3 4
= != 2 4 , 0 = ! + ! + + 0 , 5 ! = 6 + 1 , 0 + 6 + 0 , 5
2 , 8 =
- W s p Bc z y n n i k i c i [n i e n i a i w a r t o [c i c h a r a k t e r y s t y c z n e
o b c i |e n i a w i a t r e m d a c h u b u d y n k u . K i e r u n e k w i a t r u
0 , = 1 , 0
T a b e l a . , - K i e r u n e k w i a t r u 0 , = 1 , 0
P o l e d a c h u
W i e l k o [ F G H I J
- 0 , 0 - 0 , 0 - 0 , 0 - 0 , 2 - 0 , 3
,
+ 0 , 7 + 0 , 7 + 0 , 6 + 0 , 0 + 0 , 0
=
W s p Bc z y n n i k c i [n i e n i a i w a r t o [c i c h a r a k t e r y s t y c z n e o b c i |e n i a w i a t r e m [c i a n
B u d y n k u
= 1 , 0 = = 2 , 0 3
,
W i e l k o [ P o l a [c i a n
A B D E
, - 1 , 2 - 0 , 8 + 0 , 8 - 0 , 5 3 5
- W s p Bc z y n n i k i c i [n i e n i a i w a r t o [c i c h a r a k t e r y s t y c z n e
o b c i |e n i a w i a t r e m d a c h u b u d y n k u . K i e r u n e k w i a t r u
9 0 , = 1 , 0
- 1 , 4 n a p o Ba c i a c h d a c h o w y c h
P r z y p a d k i r o z k Ba d u w s p Bc z y n n i k a c i [n i e n i a z e w n t r z n e g o
, n a p o Ba c i a c h d a c h o w y c h i p o d o k a p e m - p r z y w i e t r z e
d z i a Ba j c y m
P r z y p a d k i p r z e j c i a w s p Bc z y n n i k a c i [n i e n i a w e w n t r z n e g o z g o d n i e z u w a g 2 p k t . 7 . 2 . 9 n o r m y
P N - E N 1 9 9 1 - 1 - 4 O d d z i a By w a n i a o g l n e , O d d z i a By w a n i a w i a t r u ( e , f )
W i z a r p Ba t w i o w o k l e s z c z o w y , w y m i a r o w a n i e
K o m b i n a c j a 1 , 3 5 * s t 1 + 1 , 0 5 * s n i e g 2 + 1 , 0 5 * w i a t r 1
S c h e m a t 1
S c h e m a t 2
P r z y j t o w s t p n i e :
K r o k w i e 1 0 2 0
K l e s z c z e 2 5 1 5
P Ba t e w 1 8 2 5
S Bu p y 1 6 1 6
M i e c z e 1 4 1 4
M u r Ba t a 1 4 1 4
- D r e w n o k l a s y C 3 0
P o n i |e j p r z e d s t a w i o n o d a n e w y t r z y m a Bo [c i o w e d r e w n a k l a s y C 3 0 :
, = [r e d n i m o d u B s p r |y s t o [c i Y o u n g a ( w z d Bu | w B k i e n )
, = 5 % m o d u Bu s p r |y s t o [c i ( w z d Bu | w B k i e n )
= w y t r z y m a Bo [ n a z g i n a n i e
, , = w y t r z y m a Bo [ n a [c i s k a n i e ( w z d Bu | w B k i e n )
, , = w y t r z y m a Bo [ n a r o z c i g a n i e ( w z d Bu | w B k i e n )
= , [r e d n i m o d u B s p r |y s t o [c i p o p r z e c z n e j
=
, = ,
W a r t o [c i o b l i c z e n i o w e :
- , w s p Bc z y n n i k m o d y f i k a c y j n y ( d l a k l a s y I i o b c i |e D k r t k o t r w a By c h ) 3
- , c z [c i o w y w s p Bc z y n n i k b e z p i e c z e Ds t w a w Ba [c i w o [c i m a t e r i a B w 4
3 0 0 , 9
= = = ,
1 , 3
, , 2 3 0 , 9
, , = = = ,
1 , 3
, , 1 8 0 , 9
, , = = = ,
1 , 3
0 , 9
, = , = 3 , 0 = ,
1 , 3
W Y M I A R O W A N I E K R O W I
S p r a w d z a n i e s t a n u g r a n i c z n e g o n o [n o [c i
M a k s y m a l n y m o m e n t z g i n a j c y i o d p o w i a d a j c a m u s i Ba n o r m a l n a :
= ,
= ,
3
T a b . 3 . 1 . P N - E N 1 9 9 5 - 1 - 1 s t r . 2 7
4
T a b . 2 . 3 . P N - E N 1 9 9 5 - 1 - 1 s t r . 2 4
P AA T E W P O ZR E D N I A
O b w i e d n i a s i B p r z e k r o j o w y c h - n o r m a l n e [ k N ]
O b w i e d n i a s i B p r z e k r o j o w y c h m o m e n t y z g i n a j c e [ k N m ]
O b w i e d n i a s i B p r z e k r o j o w y c h s i By t n c e [ k N m ]
W s t p n y p r z e k r j k r o k w i = 1 0 2 0
P o l e p r z e k r o j u :
= != 0 , 1 0 0 , 2 0 = ,
W s k a zn i k w y t r z y m a Bo [c i p r z e k r o j u k r o k w i :
= = , , =
S p r a w d z e n i e w a r u n k u n a z g i n a n i e z o s i o w s i B r o z c i g a j c
W s p Bc z y n n i k r e d y s t y b u c j i
n a p r |e D z g i n a j c y c h :
= , - p r z e k r j p r o s t o k t n y 5
W y t r z y m a Bo [ n a r o z c i g a n i e
w z d Bu | w B k i e n :
, , = ,
W y t r z y m a Bo [ n a z g i n a n i e o [ y :
= = ,
N a p r |e n i e r o z c i g a j c e w z d Bu | w B k i e n :
, , = = , = ,
,
N a p r |e n i e p r z y z g i n a n i u o [ y :
,
, , = = = ,
N a p r |e n i e p r z y z g i n a n i u o [ z :
, , =
S P R A W D Z E N I E W A R U N K U
, ,
+ + = , < 1
, ,
W a r u n e k s p e Bn i o n y
5
p k t 6 . 1 . 6 P N - E N 1 9 9 5 - 1 - 1 s t r . 3 8
S p r a w d z e n i e w a r u n k u z g i n a n i a z e [c i s k a n i e m o s i o w y m ( p o n a d p Ba t w i )
P o d s t a w o w e d a n e : = 2 , 5 0 = 1 0 = 2 0
, = , , = 6 , 6 6 6 7 1 0
= 0 , 0 2 = ,
,
= = = 0 , 0 5 7 7
,
D Bu g o [ w y b o c z e n i o w a :
, = = 1 , 0 "2 , 5 0 = 2 , 5 0
S m u k Bo [:
,
,
= = = 4 3 , 3 2 < ; = 0 , 2
,
S m u k Bo [ w z g l d n a :
,
, = = , = , > 0 , 3
, ,
,
W s p Bc z y n n i k s t a t e c z n o [c i :
= 0 , 5 1 + , - 0 , 3 +
,
= 0 , 5 1 + 0 , 2 0 , 7 5 - 0 , 3 + 0 , 7 3 = ,
W s p Bc z y n n i k w y b o c z e n i o w y :
, = = = ,
, , ,
,
W y t r z y m a Bo [ n a [c i s k a n i e w z d Bu | w B k i e n :
, , = 1 5 , 9 2
W y t r z y m a Bo [ n a z g i n a n i e o [ y :
= = 2 0 , 7 7
M a k s y m a l n y m o m e n t z g i n a j c y i o d p o w i a d a j c a m u s i Ba n o r m a l n a :
= ,
= - , s i Ba [c i s k a j c a
N a p r |e n i e [c i s k a j c e w z d Bu | w B k i e n :
, , = = , = ,
,
N a p r |e n i e p r z y z g i n a n i u o [ y :
,
, , = = = ,
,
S p r a w d z e n i e w a r u n k u :
, ,
+ + = , < 1
, , ,
W a r u n e k s p e Bn i o n y
S p r a w d z e n i e w a r u n k u s t a t e c z n o [c i
, , < , ,
S m u k Bo [ w z g l d n a :
, = 0 , 7 5 0 , 7 5 < , < 1 , 4
W s p Bc z y n n i k s t a t e c z n o [c i g i t n e j :
= 1 , 5 6 - 0 , 7 5 , = 1 , 5 6 - 0 , 7 5 0 , 7 5 = ,
, , = , < , , = 0 , 9 9 2 0 , 7 7 = ,
W a r u n e k s p e Bn i o n y
S p r a w d z e n i e w a r u n k u z g i n a n i a z e [c i s k a n i e m o s i o w y m
, ,
+ = , < 1
, , , ,
W a r u n e k s p e Bn i o n y
S p r a w d z a n i e S t a n u G r a n i c z n e g o u |y t k o w n o [c i k r o k w i
U g i c i e k o Dc o w e m e t o d a u p r o s z c z o n a
K o n s t r u k c j a o j e d n a k o w y m p r z e b i e g u p e Bz a n i a z Bo |o n a z e l e m e n t w , s k Ba d n i k w i z Bc z y o r a z p r z y
z a Bo |e n i u l i n i o w e j z a l e |n o [c i m i d z y o d d z i a By w a n i a m i i o d p o w i e d n i m i p r z e m i e s z c z e n i a m i o b l i c z a s i :
U g i c i a k r o k w i
( K l a s a u |y t k o w a n i a : 1 )
K r o k i e w 1 0 2 0 [ ]
R o z p i t o [ p r z s e B k r o k w i :
= 5 , 1 1 = 1 0 = 2 0
= = ,
, = = ,
U g i c i e o d c i |a r u s t a Be g o = 0 , 6 ( o b c i |e n i e s t a Be )
5 !
, = 1 + 1 9 , 2
3 8 4 ,
5 0 , 5 1 4 5 5 1 1 0 2 0 0
, = 1 + 1 9 , 2 = ,
3 8 4 1 2 0 0 0 6 6 , 6 6 7 1 0 5 1 1 0
, = , 1 + = 3 , 0 6 0 7 1 + 0 , 6 = ,
U g i c i e o d o b c i |e n i a [n i e g i e m = 0 , 2 5 ( o b c i |e n i e [r e d n i o t r w a Be )
5 c o s ( ) !
, = 1 + 1 9 , 2
3 8 4 ,
5 0 , 8 2 1 c o s ( 4 5 ) 5 1 1 0 2 0 0
, = 1 + 1 9 , 2 = ,
3 8 4 1 2 0 0 0 6 6 , 6 6 7 1 0 5 1 1 0
, = , 1 + = 2 , 5 8 8 1 + 0 , 2 5 = ,
U g i c i e o d o b c i |e n i a w i a t r e m = 0 , 0 ( o b c i |e n i e k r t k o t r w a Be )
= = 0 , 7 0 , 8 3 4 = 0 , 5 8 3 8 /
5 !
, = 1 + 1 9 , 2
3 8 4 ,
5 0 , 5 8 3 8 5 1 1 0 2 0 0
, = 1 + 1 9 , 2 = ,
3 8 4 1 2 0 0 0 6 6 , 6 6 7 1 0 5 1 1 0
, = , 1 + = 6 , 6 6 1 + 0 = ,
S p r a w d z e n i e s t a n u u g i c i a
= 6 , 6 6 + 4 , 8 9 + 3 , 2 3 = ,
5 1 1 0
, = = = ,
2 0 0 2 0 0
< ,
, < ,
W a r u n e k S G U s p e Bn i o n y
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