ÿþK A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
1 . 0 . O K R E ZL E N I E G AO W N Y C H W Y M I A R Ó W H A L I :
1 . 1 . R o z s t a w p Ba t w i :
O d 1 5 0 0 d o 3 0 0 0 m m , p r z y j t o e = 2 0 0 7 . 6 0 m m
1 . 2 . W i z a r k r a t o w y :
- R o z p i t o [ B = 2 4 m
- W y s o k o [ k r a t o w n i c y w [r o d k u r o z p i t o [c i : h = ÷ "B = ÷ "2 4 = 2 ÷ 3 m
P r z y j t o h = 2 , 5 m
- P r z y j t o n a c h y l e n i e p o Ba c i d a c h o w e j r ó w n e 5 °
- R o z s t a w w z Bó w k r a t o w n i c y :
1 . 3 . W y s o k o [ s Bu p a r ó w n a :
H = 6 m .
1 . 4 . D Bu g o [ c a Bk o w i t a h a l i :
L = n * a = 1 2 * 5 , 1 = 6 1 , 2 m
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
2 . 0 . Z E S T A W I E N I E O B C I {E C:
2 . 1 . O b c i |e n i e [n i e g i e m ( S ) :
A . L o k a l i z a c j a o b i e k t u :
S o p o t = > 3 s t r e f a [n i e g o w a
k N
s = 1 , 2
m
B . O b c i |e n i e [n i e g i e m 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 :
s = µ C C s
± = 5 ° ù' µ = 0 , 8
C = 1 , 0
C = 1 , 0
k N
S = 0 , 8 × 1 , 0 × 1 , 0 × 1 , 2 = 0 , 9 6
m
k N
S = 0 , 5 × 0 , 8 × 1 , 0 × 1 , 0 × 1 , 2 = 0 , 4 8
m
k N
S = S × c o s ± = 0 , 9 6 × c o s 5 ° = 0 , 9 5 6
m
k N
S = S × c o s ± = 0 , 4 8 × c o s 5 ° = 0 , 4 7 8
m
2 . 2 . O b c i |e n i e w i a t r e m ( W ) :
A . L o k a l i z a c j a o b i e k t u - O k r e [l e n i e s t r e f y o b c i |e n i a w i a t r e m
S o p o t = > 2 s t r e f a [n i e g o w a
- O k r e [l e n i e b a z o w e j p r d k o [c i w i a t r u :
m
V , = 2 6
s
V = c c V ,
c = 1 , 0
c = 1 , 0
m
V = 1 , 0 × 1 , 0 × 2 6 = 2 6
s
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
- O k r e [l e n i e u s t a w i e n i a o b i e k t u w z g l d e m s t r o n [w i a t a
- O k r e [l e n i e k a t e g o r i i t e r e n u
S o p o t , t e r e n o t w a r t y k a t e g o r i a I I :
= 0 , 0 5
= 2 , 0
- o k r e [l e n i e w y s o k o [c i o d n i e s i e n i a z e
h = H + * B * t g 5 ° = 6 + * 2 4 * t g 5 ° = 6 + 1 , 0 5 m = 7 , 0 5 m
h d"B , w i c z e = h = 7 , 0 5 m
- o k r e [l e n i e w s p ó Bc z y n n i k a e k s p o z y c j i c e ( z e )
, ,
,
c e ( z e ) = 2 , 3 * = 2 , 3 * = 2 , 1 1
- o k r e [l e n i a w a r t o [c i s z c z y t o w e j c i [n i e n i a p r d k o [c i w i a t r u q p ( z e )
q p ( z e ) = c e ( z e ) * q b
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 4 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
= 0 , 5 " " = 0 , 5 × 1 , 2 5 × 2 6 = 4 2 2 , 5 = 0 , 4 2 2 5
= 2 , 1 1 × 0 , 4 2 2 5 = 0 , 8 9 1 5
2 . 2 . 1 . O z n a c z e n i e [c i a n p i o n o w y c h
A . K i e r u n e k w i a t r u ¸= 0 o
d = 2 4 m
D E
w i a t r
A B C
- o k r e [l e n i e c i [n i e n i a w i a t r u n a p o w i e r z c h n i d a c h u :
= "
,
- o z n a c z e n i e [c i a n p i o n o w y c h
= ; 2 ! = 6 1 , 2 ; 2 × 7 , 0 5 = 1 4 , 1 0
1 4 , 1
= = 3 , 5 2 5
4 4
1 4 , 1
= = 2 , 8 2
5 5
1 4 , 1
= = 1 , 4 1
1 0 1 0
4 " 1 4 , 1
= 4 " = 1 1 , 2 8
5 5
,
S t o s u n e k h / d : = = 0 , 2 9 4
W s p ó Bc z y n n i k c i [n i e n i a z e w n t r z n e g o :
= 1 7 , 7 5 > 1 0 Ò! = = - 1 , 2
, ,
= 8 6 , 6 4 > 1 0 Ò! = = - 0 , 8
, ,
= 6 9 , 6 1 > 1 0 Ò! = = - 0 , 5
, ,
z = 9 m
b = 6 6 , 3 m
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 5 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
= 4 3 1 , 4 6 > 1 0 Ò! = = 0 , 7 0 6
, ,
= 4 3 1 , 4 6 > 1 0 Ò! = = - 0 , 3 1 2
, ,
C i [n i e n i e w i a t r u :
=
,
D
= 0 , 8 9 1 5 × - 1 , 2 = - 1 , 0 6 9 8
,
= 0 , 8 9 1 5 × - 0 , 8 = - 0 , 7 1 3 2 /
,
= 0 , 8 9 1 5 × - 0 , 5 = - 0 , 4 4 5 8 /
,
= 0 , 8 9 1 5 × 0 , 7 0 6 = 0 , 6 2 9 4 /
,
= 0 , 8 9 1 5 × - 0 , 3 1 2 = - 0 , 2 7 8 1 /
,
P o w i e r z c h n i a
D
P o l e [ ]
,
[ ]
A 1 7 , 7 5 0 , 8 9 1 5 - 1 , 2 - 1 , 0 6 9 8
B 8 6 , 6 4 0 , 8 9 1 5 - 0 , 8 - 0 , 7 1 3 2
C 6 9 , 6 1 0 , 8 9 1 5 - 0 , 5 - 0 , 4 4 5 8
D 4 3 1 , 4 6 0 , 8 9 1 5 0 , 7 0 6 0 , 6 2 9 4
E 4 3 1 , 4 6 0 , 8 9 1 5 - 0 , 3 1 2 - 0 , 2 7 8 1
T a b e l a 1 : O b c i |e n i e w i a t r e m 9 0 °
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 6 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
B . K i e r u n e k w i a t r u ¸= 0 o
b = 2 4 m
D
A
B C
E
= ; 2 ! = 2 4 ; 2 × 7 , 0 5 = 1 4 , 1 0
1 4 , 1
= = 3 , 5 2 5
4 4
1 4 , 1
= = 2 , 8 2
5 5
1 4 , 1
= = 1 , 4 1
1 0 1 0
4 " 1 4 , 1
= 4 " = 1 1 , 2 8
5 5
,
S t o s u n e k h / d : = = 0 , 1 1 5
,
W s p ó Bc z y n n i k c i [n i e n i a z e w n t r z n e g o :
= 1 9 , 8 8 > 1 0 Ò! = = - 1 , 2
, ,
= 7 9 , 5 2 > 1 0 Ò! = = - 0 , 8
, ,
= 3 3 2 , 0 6 > 1 0 Ò! = = - 0 , 5
, ,
= 1 7 4 > 1 0 Ò! = = 0 , 7
, ,
= 1 7 4 > 1 0 Ò! = = - 0 , 3
, ,
C i [n i e n i e w i a t r u :
=
D
= 0 , 8 9 1 5 × - 1 , 2 = - 1 , 0 6 9 8
,
= 0 , 8 9 1 5 × - 0 , 8 = - 0 , 7 1 3 2 /
,
z = 1 0 , 1 m
d = 6 6 , 3 m
w i a t r
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 7 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
= 0 , 8 9 1 5 × - 0 , 5 = - 0 , 4 4 5 8 /
,
= 0 , 8 9 1 5 × 0 , 7 = 0 , 6 2 4 / = 0 , 8 9 1 5 × - 0 , 3 = - 0 , 2 6 7 /
, ,
P o w i e r z c h n i a
D
P o l e [ ]
,
[ ]
A 1 9 , 8 8 0 , 8 9 1 5 - 1 , 2 - 1 , 0 6 9 8
B 7 9 , 5 2 0 , 8 9 1 5 - 0 , 8 - 0 , 7 1 3 2
C 3 3 2 , 0 6 0 , 8 9 1 5 - 0 , 5 - 0 , 4 4 5 8
D 1 7 4 0 , 8 9 1 5 0 , 7 0 , 6 2 4
E 1 7 4 0 , 8 9 1 5 - 0 , 3 - 0 , 2 6 7
T a b e l a 2 : O b c i |e n i e [c i a n w i a t r e m
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 8 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
2 . 2 . 2 . O z n a c z e n i e d a c h ó w d w u s p a d o w y c h :
A . K i e r u n e k w i a t r u ¸= 0 o
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 9 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
F
w i a t r
G H J I
F
= ; 2 ! = 6 1 , 2 ; 2 × 7 , 0 5 = 1 4 , 1
1 4 , 1
= = 3 , 5 2 5
4 4
1 4 , 1
= = 2 , 8 2
5 5
1 4 , 1
= = 1 , 4 1
1 0 1 0
4 " 1 4 , 1
= 4 " = 1 1 , 2 8
5 5
±= 5 °
W s p ó Bc z y n n i k c i [n i e n i a z e w n t r z n e g o :
= 9 , 9 4 < 1 0 Ò! = = - 1 , 7 0 1
, ,
= 7 6 , 3 6 > 1 0 Ò! = = - 1 , 2
, ,
= 6 4 8 , 1 1 > 1 0 Ò! = = - 0 , 6
, ,
= 8 6 , 2 9 > 1 0 Ò! = = - 0 , 6
, ,
= 6 4 8 , 1 1 > 1 0 Ò! = = - 0 , 6
, ,
C i [n i e n i e w i a t r u :
=
D
= 0 , 8 9 1 5 × - 1 , 7 0 1 = - 1 , 5 2
,
= 0 , 8 9 1 5 × - 1 , 2 = - 1 , 0 7 /
,
= 0 , 8 9 1 5 × - 0 , 6 = - 0 , 5 3 5 /
,
= 0 , 8 9 1 5 × - 0 , 6 = - 0 , 5 3 5 /
,
= 0 , 8 9 1 5 × - 0 , 6 = - 0 , 5 3 5 /
,
b = 6 6 , 3 m
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 0 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
P o w i e r z c h n i a
D
P o l e [ ]
,
[ ]
F 9 , 9 7 0 , 8 9 1 5 - 1 , 7 0 1 - 1 , 5 2
G 7 6 , 3 6 0 , 8 9 1 5 - 1 , 2 - 1 , 0 7
H 6 4 8 , 1 1 0 , 8 9 1 5 - 0 , 6 - 0 , 5 3 5
I 8 6 , 2 9 0 , 8 9 1 5 - 0 , 6 - 0 , 5 3 5
J 6 4 8 , 1 1 0 , 8 9 1 5 - 0 , 6 - 0 , 5 3 5
T a b e l a 3 : O b c i |e n i e d a c h u w i a t r e m 0 °
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 1 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
B . K i e r u n e k w i a t r u ¸= 9 0 o
b = 2 4 m
I I
H H
G G
F F
= ; 2 ! = 2 4 ; 2 × 7 , 0 5 = 1 4 , 1
1 4 , 1
= = 3 , 5 2 5
4 4
1 4 , 1
= = 2 , 8 2
5 5
1 4 , 1
= = 1 , 4 1
1 0 1 0
4 " 1 4 , 1
= 4 " = 1 1 , 2 8
5 5
±= 5 °
W s p ó Bc z y n n i k c i [n i e n i a z e w n t r z n e g o :
= 4 , 9 7 < 1 0 Ò! = = - 1 , 7 8
,
= 1 1 , 9 4 > 1 0 Ò! = = - 1 , 3
, ,
= 6 7 , 6 8 > 1 0 Ò! = = - 0 , 7
, ,
= 6 4 9 , 8 > 1 0 Ò! = = - 0 , 6
, ,
w i a t r
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 2 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
C i [n i e n i e w i a t r u :
=
D
= 0 , 8 9 1 5 × - 1 , 7 8 = - 1 , 5 9
,
= 0 , 8 9 1 5 × - 1 , 3 = - 1 , 1 6 /
,
= 0 , 8 9 1 5 × - 0 , 7 = - 0 , 6 2 4 /
,
= 0 , 8 9 1 5 × - 0 , 6 = - 0 , 5 3 5 /
,
P o w i e r z c h n i a
D
P o l e [ ]
,
[ ]
F 4 , 9 7 0 , 8 9 1 5 - 1 , 7 8 - 1 , 5 9
G 1 1 , 9 4 0 , 8 9 1 5 - 1 , 3 - 1 , 1 6
H 6 7 , 6 8 0 , 8 9 1 5 - 0 , 7 - 0 , 6 2 4
I 6 4 9 , 8 0 , 8 9 1 5 - 0 , 6 - 0 , 5 3 5
T a b e l a 4 : O b c i |e n i e d a c h u w i a t r e m 9 0 °
2 . 2 . 3 . W y z n a c z e n i e o b c i |e n i a w i a t r e m
2 . 2 . 3 . 1 . D l a p o Ba c i d a c h u
s t r o n a n a w i e t r z n a : - 1 , 5 9 /
s t r o n a z a w i e t r z n a : - 0 , 5 3 5 /
2 . 2 . 3 . 2 . D l a [c i a n h a l i
S t r o n a z a w i e t r z n a : - 0 , 2 7 8 /
s t r o n a n a w i e t r z n a : 0 , 6 2 9 /
2 . 3 . Z e b r a n i e o b c i |e n i a s t a Be g o p o Ba c i d a c h u ( G 1 )
- o b c i |e n i e s t a Be z a l e |n e o d r o d z a j u p o k r y c i a d a c h u : 0 , 1 /
- o b c i |e n i e u |y t k o w e : 0 , 2 5 /
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 3 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
g k
L p R o d z a j o b c i |e n i a
[ k N / m 2 ]
1 P By t y d a c h o w e z r d z e n i e m s t y r o p i a n o w y m 0 , 1 0
2 O b c i |e n i e s t a Be w y p o s a |e n i e m d o d a t k o w y m 0 , 2 5
" 0 , 3 5
T a b e l a 5 O b c i |e n i e s t a Be p o Ba c i d a c h u ( G 1 )
2 . 4 . Z e b r a n i e o b c i |e n i a s t a Be g o [c i a n h a l i ( G 2 )
- o b c i |e n i e s t a Be z a l e |n e o d r o d z a j u p o s z y c i a [c i a n : 0 , 1 /
g k
L p R o d z a j o b c i |e n i a
[ k N / m 2 ]
1 P By t y d a c h o w e z r d z e n i e m s t y r o p i a n o w y m 0 , 1 0
" 0 , 1 0
T a b e l a 6 O b c i |e n i e s t a Be [c i a n h a l i
3 . 0 . Z e s t a w i e n i e o b c i |e D d l a p o Ba c i d a c h u :
O b c i |e n i e p r o s t o p a d Be d o p o Ba c i d a c h u : = " 5 °
O b c i |e n i e p r o s t o p a d Be d o p o Ba c i d a c h u : = " 5 °
Á
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
L p R o d z a j o b c i |e n i a g k [ k N / m 2 ] S y m b o l
[ k N / m 2 ]
¥" %"
R ó w n o m i e r n e o b c i |e n i e [n i e g i e m r o z Bo |o n e n a
1 0 , 9 5 6 0 , 9 5 2 0 , 0 8 3 S 1
p o Ba c i d a c h u
N i e r ó w n o m i e r n e o b c i |e n i e [n i e g i e m n a p o Ba c i
2 0 , 4 8 0 , 4 7 8 0 , 0 4 2 S 2
d a c h u
3 O b c i |e n i e w i a t r e m - s t r o n a n a w i e t r z n a - 1 , 5 9 - 1 , 5 9 - W
4 O b c i |e n i e w i a t r e m - s t r o n a z a w i e t r z n a - 0 , 5 3 5 - 0 , 5 3 5 - W
5 C i |a r w Ba s n y p o k r y c i a d a c h u - w a r i a n t m a x 0 , 3 5 0 0 , 3 4 9 0 , 0 3 1 G 1
T a b e l a 7 O b c i |e n i a d l a p o Ba c i d a c h u
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 4 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
4 . 0 . D o b r a n i e p o s z y c i a p o Ba c i d a c h u :
4 . 1 . D o b r a n i e m a k s y m a l n y c h o b c i |e D p r o s t o p a d By c h d o p o s z y c i a d a c h u :
O b c i |e n i a m a x : ( p o z y t y w )
= 1 + 1 = 0 , 3 4 9 + 0 , 9 5 2 = 1 , 3 0 1 k N / m 2
,
= 1 , 3 5 " 1 + 1 , 5 " 1 = 1 , 3 5 " 0 , 3 4 9 + 1 , 5 " 0 , 9 5 2 = 1 , 8 9 9 k N / m 2
,
P o m i n i t o o b c i |e n i e w i a t r e m ( s s a n i e ) :
O b c i |e n i e m i n ( n e g a t y w ) :
= 1 + = 0 , 1 + - 1 , 5 2 = - 1 , 4 2 k N / m 2
,
= 1 , 0 0 " 1 + 1 , 5 " = 1 , 0 0 " 0 , 1 + 1 , 5 " - 1 , 5 2 0 = - 2 , 1 9 k N / m 2
,
O b c i |e n i e w i a t r e m o d s t r o n y n a w i e t r z n e j - w i k s z e s s a n i e .
4 . 2 . O k r e [l e n i e r o z s t a w u p o d p ó r p By t p o k r y c i a d a c h u :
P r z y j m u j e m y b e l k i w i e l o p r z s Bo w e ( d w u p r z s Bo w e )
C = 2 * e = 2 * 2 , 0 0 7 6 = 4 , 0 1 5 2 m
4 . 3 . O k r e [l e n i e s c h e m a t u s t a t y c z n e g o p By t y :
4 . 4 . S p r a w d z e n i e w a r u n k ó w n o [n o [c i p o k r y c i a z p By t w a r s t w o w y c h :
W a r u n e k S G N i S G U z o s t a By s p r a w d z o n e p r z y u |y c i u d a n y c h z e s t r o n y p r o d u c e n t a - w w w . b a l e x . e u
- W a r u n e k S G N d l a w i e l o p r z s Bo w y c h p By t d a c h o w y c h P W D :
D l a r o z p i t o [c i p r z s Ba 2 , 4 0 m i g r u b o [c i p By t y 1 0 0 m m : = 2 , 2 9 k N /
P o z y t y w :
= 1 , 8 9 9 k N / < = 2 , 2 9 k N / | : 8 2 , 9 3 %
,
N e g a t y w :
= - 2 , 1 8 k N / m 2 < = 2 , 2 9 k N / | 9 5 , 2 %
,
- W a r u n e k S G U d l a w i e l o p r z s Bo w y c h p By t d a c h o w y c h P W D :
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 5 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
D l a r o z p i t o [c i p r z s Ba 2 , 4 0 m i g r u b o [c i p By t y 1 0 0 m m : = 2 , 0 4 k N /
P o z y t y w :
= 1 , 3 0 1 < = 2 , 0 4 k N / | : 6 3 , 7 7 %
,
N e g a t y w :
= - 1 , 4 2 k N / m 2 < = 2 , 0 4 k N / | : 6 0 , 8 3 %
,
P r z y j t o p By t w a r s t w o w w i e l o p r z s Bo w P W D o g r u b o [c i 1 0 0 m m
5 . 0 . W Y M I A R O W A N I E P AA T W I D A C H O W E J :
5 . 1 . W s t p n y d o b ó r p r z e k r o j u p Ba t w i :
! = ÷ * = ÷ * 5 , 1 = 0 , 2 0 4 ÷ 0 , 2 5 5
W w y n i k u o b l i c z e D p r z y j t o p Ba t w i e z k s z t a Bt o w n i k a I P E 2 0 0 o ! = 2 0 0
5 . 2 . P a s m o z b i e r a n i a o b c i |e D:
+ = e = 2 0 0 , 7 6 c m
5 . 3 . P a r a m e t r y p r z e k r o j u i s t a l i
h 2 0 0 m m I y 1 9 4 3 c m 4 f y 2 3 5 M P a
b f 1 0 0 m m I z 1 4 2 c m 4 f u 3 6 0 M P a
t f 8 , 5 m m W y , e l 1 9 4 c m 3
t w 5 , 6 m m W z , e l 2 8 , 5 c m 3
R 1 2 m m W y , p l 2 2 1 c m 3
A 2 8 , 5 c m 2 W z , p l 4 4 , 6 c m 3
T a b e l a 1 I P E 2 7 0 z e s t a l i S 2 3 5
5 . 4 . C i |a r w Ba s n y p Ba t w i d a c h o w e j ( G 3 )
= 2 2 , 4 = 0 , 2 2 4
m
5 . 5 . Z a Bo |e n i e s c h e m a t u s t a t y c z n e g o p Ba t w i d a c h o w e j :
P r z y j t o s c h e m a t b e l k i s w o b o d n i e p o d p a r t e j .
5 . 6 . W y z n a c z e n i e e k s t r e m a l n y c h o b c i |e D p Ba t w i
O b c i |e n i e p r o s t o p a d Be d o p o Ba c i d a c h u : = " 5 °
O b c i |e n i e p r o s t o p a d Be d o p o Ba c i d a c h u : = " 5 °
Á
C i |a r p Ba t w i : 0 , 2 2 4 / 9 . 8 1 = 0 , 2 2 k N / m 2
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 6 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
O b c i |e n i e O b c i |e n i e
g k c h a r a k t . q k = g k o b l i c z . q o
L p . R o d z a j o b c i |e n i a ³f S y m b o l
[ k N / m 2 ] x e [ k N / m b ] [ k N / m b ]
¥" %" ¥" %"
O b c i |e n i e [n i e g i e m r o z Bo |o n e n a
1 0 , 9 5 6 1 , 9 1 2 0 , 1 6 7 1 , 5 2 , 8 6 8 0 , 2 5 1 S 1
p o Ba c i d a c h u
2 C i |a r w Ba s n y p o k r y c i a d a c h u 0 , 3 5 0 0 , 7 0 0 0 , 0 6 1 1 , 3 5 0 , 9 4 5 0 , 0 8 3 G 1
3 C i |a r w Ba s n y p Ba t w i 0 , 2 2 0 , 2 1 9 0 , 0 1 9 1 , 3 5 0 , 2 9 6 0 , 0 2 6 G 3
R A Z E M - 2 , 8 3 1 0 , 2 4 8 - 4 , 1 0 8 0 , 3 5 9 -
5 . 7 . W y z n a c z e n i e e k s t r e m a l n y c h s i B w e w n t r z n y c h :
a = 5 , 1 m
"
, " ,
M E d , y = = = 1 3 , 3 5 8 k N m
" , " ,
M E d , z = = = 1 , 1 6 9 k N m
"
, " ,
V E d , y = = 1 0 , 4 7 7 k N
=
" , " ,
V E d , z = = = 0 , 9 1 7 k N
W a r t o [c i o b l i c z e n i o w e [ k N m ] l u b [ k N ]
S i By w e w n t r z n e
%"
M o m e n t y z g i n a j c e M m a x M E d , y = 1 3 , 3 5 8 M E d , z = 1 , 1 6 9
S i By t n c e V m a x V E d , z = 1 0 , 4 7 7 V E d , y = 0 , 9 1 7
T a b e l a 2 E k s t r e m a l n e w a r t o [c i s i B w e w n t r z n y c h d l a p Ba t w i d a c h o w e j
5 . 8 . K l a s a p r z e k r o j u
Zr o d n i k
! - 2 - 2 2 0 0 - 2 × 8 , 5 - 2 × 1 2
= = = 2 8 , 3 9
5 , 6
2 3 5
= = = 1
2 3 5 2 3 5
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 7 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
3 3 > ù' [
P ó Bk a
- - 2 1 0 0 - 5 , 6 - 2 × 1 2
= = = 4 , 1 4
2 2 × 8 , 5
= 1
9 > ù' ó B
P r z e k r ó j I P E 2 0 0 z e s t a l i S 2 3 5 j e s t k l a s y I
5 . 9 . S p r a w d z e n i e S G N
5 . 9 . 1 . N o [n o [ n a [c i n a n i e
P o l e p r z e k r o j u c z y n n e g o
- 2 " " + + 2
=
,
! "
2 8 , 5 - 2 × 1 0 × 0 , 8 5 + 0 , 5 6 + 2 × 1 , 2 × 0 , 8 5 = 1 4 , 0 2
= = 1 4 , 0 2
2 0 - 2 × 0 , 8 5 × 0 , 5 6 = 1 0 , 2 5
= - ! = 2 8 , 5 - - 2 × 0 , 8 5 × 0 , 5 6 = 1 8 , 2 5 2
2 0
,
N o [n o [ o b l i c z e n i o w a p r z e k r o j u n a [c i n a n i e
1 4 , 0 2 × 2 3 , 5
,
= = = = 1 9 0 , 1 7
, , , ,
3 1 , 0 × 3
" "
1 8 , 2 5 2 × 2 3 , 5
,
= = = = 2 4 7 , 6 4
, , , ,
3 1 , 0 × 3
" "
S p r a w d z e n i e w a r u n k u
1 0 , 4 7 7
,
= = 0 , 0 5 5 < 1 Ò! B
1 9 0 , 1 7
, ,
0 , 9 1 7
,
= = 0 , 0 0 4 < 1 Ò! B
2 4 7 , 6 4
, ,
5 . 9 . 2 . N o [n o [ n a z g i n a n i e
M o m e n t k r y t y c z n y
= + 0 , 2 5 - 0 , 5
× 2 1 0 0 0 × 1 4 2
= = = 1 1 3 , 1 5 3
5 1 0
+ 0 , 0 3 9
=
H" 0 , 2 5 ! = 0 , 2 5 " 1 4 2 " 2 0 = 1 4 2 0 0
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 8 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
1 1
= 2 + ! = × 2 × 1 0 × 0 , 8 5 + 2 0 - 2 × 0 , 8 5 × 0 , 5 6 = 5 , 1 6 5
3 3
1 4 2 0 0 + 0 , 0 3 9 " 5 1 0 " 5 , 1 6 5
= = 4 6 8 , 9 9 7
1 4 2
= 1 , 1 2
! 2 0
= = = 1 0
2 2
= 1 , 1 2 × 1 1 3 , 1 5 3 × 4 6 8 , 9 9 7 + 0 , 2 5 × 1 0 - 0 , 5 × 1 0 × 0 , 0 1 = 2 1 , 8 3 1
W s p ó Bc z y n n i k z w i c h r z e n i a
1
=
+ -
= 0 , 5 [ 1 + - + ]
,
! 2 0 0
= = 0 , 5 Ò! ! Ò! = 0 , 3 4
1 0 0
= 0 , 7 5
= 0 , 4
,
2 2 1 × 2 3 , 5
,
= = = 1 , 5 4 2
2 1 , 8 3 1 × 1 0 0
[ ]
= 0 , 5 " 1 + 0 , 3 4 " 1 , 5 4 2 - 0 , 4 + 0 , 7 5 " 1 , 5 4 2 = 1 , 5 8 6
1
= = 0 , 4 0 9 5
1 , 5 8 6 + 1 , 5 8 6 - 0 , 7 5 × 1 , 5 4 2
W s p ó Bc z y n n i k i r ó w n o m i e r n e g o m o m e n t u s t a Be g o
= 0 , 9 5 + 0 , 0 5 = 0 , 9 5 + 0 , 0 5 " 0 = 0 , 9 5
= 0 , 9 5 + 0 , 0 5 = 0 , 9 5 + 0 , 0 5 " 0 = 0 , 9 5
S k Ba d n i k p o p r a w k o w y ( o s z a c o w a n i e m a k s y m a l n e j w a r t o [c i )
2 2 1
,
= 0 , 1 + 0 , 2 - 1 = 0 , 1 + 0 , 2 " - 1 = 0 , 1 2 7 8
,
1 9 4
,
4 4 , 6
,
= 0 , 1 + 0 , 2 - 1 = 0 , 1 + 0 , 2 " - 1 = 0 , 2 1 3
,
2 8 , 5
,
1 - = 1 - 0 , 1 2 7 8 = 0 , 8 7 2 2
,
1 - = 1 - 0 , 2 1 3 = 0 , 7 8 7
,
N o [n o [ o b l i c z e n i o w a p r z e k r o j u n a z g i n a n i e
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 1 9 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
2 2 1 " 2 3 , 5
,
= = = × 0 , 0 1 = 5 1 , 9 3 5
, , , ,
1 , 0
4 4 , 6 " 2 3 , 5
,
= = = × 0 , 0 1 = 1 0 , 4 8 1
, , , ,
1 , 0
S p r a w d z e n i e w a r u n k u
0 , 9 5 " 1 3 , 3 5 8 0 , 9 5 " 1 , 1 6 9
, ,
+ = + = 0 , 7 0 3 < 0 , 8 7 2 2
0 , 4 0 9 5 " 5 1 , 9 3 5 1 0 , 4 8 1
, , , ,
Ò! B
0 , 7 0 3
| : = 0 , 8 0 6
0 , 8 7 2 2
0 , 9 5 × 1 3 , 3 5 8 0 , 9 5 × 3 , 0 2 2
, ,
+ = + = 0 , 7 0 3 < 0 , 7 8 7
0 , 4 0 9 5 × 1 1 3 , 7 4 2 2 , 7 9 5
, , , ,
Ò! B
0 , 7 0 3
| : = 0 , 8 9
0 , 7 8 7
5 . 1 0 . S p r a w d z e n i e S G U ( u g i c i e )
5 1 0
= = = 2 , 5 5
2 0 0 2 0 0
5 + 5 0 , 2 4 8 " 5 1 0
, ,
= = = 0 , 7 3 2
,
3 8 4 3 8 4 2 1 0 0 0 " 1 4 2
5 + 5 2 , 8 3 1 " 5 1 0
, ,
= = = 0 , 6 1 1
,
3 8 4 3 8 4 2 1 0 0 0 " 1 9 4 3
= + = 0 , 7 3 2 + 0 , 6 1 1 = 0 , 9 5 3 < Ò! B
, ,
6 . 0 . Z e b r a n i e o b c i |e D n a g Bó w n y u k Ba d n o [n y h a l i :
6 . 1 . C i |a r w Ba s n y w i z a r a ( G 4 ) :
2 , 0
G = + 0 , 1 2 G + Q B × 1 0
a
a = 5 , 1 m - r o z s t a w d zw i g a r ó w d a c h o w y c h
B = 2 4 m - r o z p i t o [ d zw i g a r ó w d a c h o w y c h
G = G 1 = 0 , 5 6 1 k N / m
Q = S = 0 , 9 5 6 k N / m
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 0 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
2 , 0
G = + 0 , 1 2 × 0 , 3 5 + 0 , 9 5 6 × 2 4 × 1 0 = 0 , 1 1 8 k N / m
5 , 1
6 . 2 . W y z n a c z e n i e o b c i |e D n a w i z a r
P Ba t w i e
o b c i |n i e P Ba t w i e
k a l e n i c o w e i
R o d z a j
p o Ba c i p o [r e d n i e
L p . S y m b o l
o k a p o w e
o b c i |e n i a
k N / m 2 k N k N
Zn i e g
1 0 , 9 5 6 9 , 8 0 0 4 , 9 0 0 S 1
( s y m e t r y c z n e )
Zn i e g
2 ( n i e s y m e t r y c z n e 0 , 4 8 4 , 9 2 0 2 , 4 6 0 S 2
)
W i a t r s t r o n a
3 - 1 , 5 2 - 1 5 , 5 8 2 - 7 , 7 9 1 W
n a w i e t r z n a
W i a t r s t r o n a
4 - 0 , 5 3 5 - 5 , 4 8 4 - 2 , 7 4 2 W
z a w i e t r z n a
C i |a r w Ba s n y
5 0 , 3 5 0 3 , 5 8 8 1 , 7 9 4 G 1
p o k r y c i a
C i |a r w Ba s n y
6 - 1 , 1 2 1 1 , 1 2 1 G 3
p Ba t w i
C i |a r w Ba s n y
7 0 , 1 1 8 1 , 2 0 6 0 , 6 0 3 G 4
w i z a r a
T a b e l a 1 1 W y z n a c z e n i e o b c i |e D n a w i z a r
6 . 3 . W y z n a c z e n i e o b c i |e n i a n a s Bu p y h a l i
o b c i |e n i e
q k
L p . R o d z a j o b c i |e n i a r o z Bo |o n e S y m b o l
k N / m 2 k N / m
1 W i a t r s t r o n a n a w i e t r z n a 0 , 6 2 9 3 , 2 0 8 W
2 W i a t r s t r o n a z a w i e t r z n a - 0 , 2 7 8 - 1 , 4 1 8 W
3 C i |a r w Ba s n y p o s z y c i a [c i a n 0 , 1 0 0 0 , 5 1 0 G 2
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 1 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
4 C i |a r s Bu p a h a l i - 1 , 0 0 0 G 5
T a b e l a 1 2 O b c i |e n i e n a s Bu p h a l i
6 . 4 . W y z n a c z e n i e k o m b i n a c j i o b c i |e D d o o b l i c z e D s t a t y c z n y c h
6 . 4 . 1 . K o m b i n a c j e S G N
W s p ó Bc z y n n i k o b c i |e D a k t y w n y c h
O b c i |e n i a s t a Be ( ³x ¾)
O b c i |e n i a z m i e n n e ( ³x ¨)
L p . K o m b i n a c j a o b c i |e D
O b c i |e n i e
O b c i |e n i e z m i e n n e
s t a Be
G S 1 S 2 W
1 K o m b 1 ( S G N ) 1 , 3 5 x 0 , 8 5 1 , 5 - -
2 K o m b 2 ( S G N ) 1 , 3 5 1 , 5 x 0 , 5 - 1 , 5 x 0 , 6
3 K o m b 3 ( S G N ) 1 , 3 5 x 0 , 8 5 1 , 5 - 1 , 5 x 0 , 6
4 K o m b 4 ( S G N ) 1 , 3 5 - 1 , 5 x 0 , 5 1 , 5 x 0 , 6
5 K o m b 5 ( S G N ) 1 , 3 5 x 0 , 8 5 - 1 , 5 1 , 5 x 0 , 6
6 K o m b 6 ( S G N ) 1 , 3 5 x 0 , 8 5 1 , 5 x 0 , 5 - 1 , 5
7 K o m b 7 ( S G N ) 1 , 3 5 x 0 , 8 5 - 1 , 5 x 0 , 5 1 , 5
8 K o m b 8 ( S G N ) 1 , 0 - 1 , 5
T a b e l a 3 Z e s t a w i e n i e k o m b i n a c j i S G N i w s p ó Bc z y n n i k ó w
6 . 4 . 2 . K o m b i n a c j e S G U
W s p ó Bc z y n n i k o b c i |e D a k t y w n y c h
O b c i |e n i a s t a Be ( 1 , 0 x ¾)
O b c i |e n i a z m i e n n e ( 1 , 0 x ¨)
L p . K o m b i n a c j a o b c i |e D
O b c i |e n i e s t a Be O b c i |e n i e z m i e n n e
G S 1 S 2 W
1 K o m b 1 ( S G U ) 1 , 0 1 , 0 - -
2 K o m b 2 ( S G U ) 1 , 0 1 , 0 - 1 , 0 x 0 , 6
3 K o m b 3 ( S G U ) 1 , 0 - - 1 , 0
T a b e l a 4 Z e s t a w i e n i e k o m b i n a c j i S G U i w s p ó Bc z y n n i k ó w
7 . 0 . O b l i c z e n i a s t a t y c z n e g Bó w n e g o u k Ba d u n o [n e g o h a l i :
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 2 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 1 . G e o m e t r i a g Bó w n e g o u k Ba d u n o [n e g o
7 . 2 . O b l i c z e n i a s t a t y c z n e u k Ba d u w p r o g r a m i e R O B O T - g e o m e t r i a u k Ba d u :
7 . 3 . Z a d a w a n i e o b c i |e D w p r o g r a m i e R O B O T
7 . 3 . 1 . O b c i |e n i e [n i e g i e m r ó w n o m i e r n i e r o z Bo |o n e S 1
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 3 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 3 . 2 . O b c i |e n i e [n i e g i e m n i e r ó w n o m i e r n i e r o z Bo |o n e S 2
7 . 3 . 3 . O b c i |e n i e w i a t r e m
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 4 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 3 . 4 . O b c i |e n i e c i |a r e m w Ba s n y m p o k r y c i a ( G 1 )
7 . 3 . 5 . O b c i |e n i e c i |a r e m w Ba s n y m p Bt w i ( G 3 )
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 5 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 3 . 6 . O b c i |e n i e c i |a r e m w Ba s n y m w i z a r a ( G 4 ) , s Bu p a ( G 5 ) , o b u d o w y ( G 2 )
7 . 4 . O d c z y t a n i e w a r t o [c i s i B w e w n t r z n y c h
7 . 4 . 1 . K o m b 1 ( S G N )
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 6 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 4 . 2 . K o m b 2 ( S G N )
7 . 4 . 3 . K o m b 3 ( S G N )
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 7 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 4 . 4 . K o m b 4 ( S G N )
7 . 4 . 5 . K o m b 5 ( S G N )
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 8 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 4 . 6 . K o m b 6 ( S G N )
7 . 4 . 7 . K o m b 7 ( S G N )
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 2 9 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 4 . 8 . K o m b 8 ( S G N )
7 . 4 . 9 . K o m b 1 ( S G U )
K A T E D R A K O N S T R U K C J I
J U S T Y N A C Z A P I E W S K A s t u d i a
M E T A L O W Y C H I Z A R Z D Z A N I A W
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
i n |y n i e r s k i e
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 0 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
7 . 4 . 1 0 . K o m b 2 ( S G U )
7 . 4 . 1 1 . K o m b 3 ( S G U )
7 . 5 . Z e s t a w i e n i e s i B w e w n t r z n y c h w p r t a c h w i z a r a
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I Z A R Z D Z A N I A W
J U S T Y N A C Z A P I E W S K A s t u d i a i n |y n i e r s k i e R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I ZR O D O W I S K A
P R O J E K T H A L I S T A L O W E J B E Z T R A N S P O R T U S t r 3 1 / 3 9
P O L I T E C H N I K A G D A CS K A
S G N S G
T y p i n r
K o m b K o m b K o m b K o m b K o m b K o m b K o m b K o m b K o m b K o m b 1 K o m N m a x N r S c i s k / N m i n | N R S c i s k /
p r t a
1 2 3 4 5 6 7 8 9 0 b 1 1 k o m b . / r o z c i g k o m b / r o z c i g
-
- - k o m b r o z c i g a n i k o m b
1 - 1 3 8 , 9 - 2 9 , 4 4 2 , 9 9 - 4 , 3 4 2 4 , 7 6 5 7 , 1 9 7 7 , 9 1 - 5 5 , 1 1 3 9 , 1 9 7 7 , 9 1 1 5 6 , 9 [c i s k a n i e
1 5 6 , 9 8 1 0 1 , 5 8 8 e 3
8
-
- - k o m b r o z c i g a n i k o m b
2 - 2 8 , 6 2 4 , 2 2 - 3 , 2 1 2 7 , 0 7 5 9 , 9 2 8 0 , 9 2 - 1 0 2 , 9 - 5 5 , 0 3 4 1 , 0 3 8 0 , 9 2 1 5 9 , 0 [c i s k a n i e
1 4 0 , 7 1 1 5 9 , 0 2 8 e 3
2
-
- - - 1 5 6 , 1 k o m b r o z c i g a n i k o m b
3 - 5 7 , 9 5 - 1 1 , 2 3 5 0 , 3 9 1 1 3 , 2 9 1 5 6 , 1 6 - 1 0 9 , 2 1 7 8 , 7 3 3 1 4 , 3 [c i s k a n i e
2 7 6 , 3 9 3 1 4 , 3 1 2 0 2 , 1 2 6 8 e 3
1
-
- - - 1 5 8 , 5 k o m b r o z c i g a n i k o m b
4 - 5 6 , 9 3 6 , 1 6 - 1 0 , 1 4 5 2 , 4 8 1 1 5 , 5 7 1 5 8 , 5 9 - 1 0 8 , 7 9 8 0 , 2 7 3 1 5 , 3 [c i s k a n i e
2 7 7 , 2 8 3 1 5 , 3 5 2 0 2 , 7 7 9 8 e 3
5
-
- - - k o m b r o z c i g a n i k o m b
5 - 7 4 , 7 - 7 , 1 - 2 7 , 9 3 9 , 6 2 1 0 7 , 2 2 1 5 7 , 8 - 1 2 8 , 7 7 6 , 8 5 1 5 7 , 8 3 5 4 , 4 [c i s k a n i e
3 0 8 , 8 2 3 5 4 , 4 1 2 2 5 , 8 4 8 e 3
1
-
- - - 1 5 9 , 0 k o m b r o z c i g a n i k o m b
6 - 7 3 , 3 5 - 6 - 2 6 , 7 7 4 1 , 3 1 1 0 8 , 6 5 1 5 9 , 0 8 - 1 2 7 , 5 2 7 7 , 8 3 5 3 , 2 [c i s k a n i e
3 0 7 , 7 5 3 5 3 , 2 1 2 2 5 , 0 6 8 8 e 3
1
-
- - - 1 3 2 , 2 k o m b r o z c i g a n i k o m b
7 - 8 9 , 4 4 - 2 5 , 5 7 - 4 9 , 8 1 1 4 , 4 8 7 8 , 3 5 1 3 2 , 2 5 - 1 3 8 , 2 5 5 9 , 9 1 3 5 7 , 3 [c i s k a n i e
3 0 7 , 7 5 3 5 7 , 3 8 2 2 5 , 0 6 5 8 e 3
8
-
- - - 1 3 1 , 7 k o m b r o z c i g a n i k o m b
8 - 9 0 , 3 2 - 2 6 , 2 6 - 5 0 , 6 1 1 3 , 5 8 7 7 , 6 5 1 3 1 , 7 6 - 1 3 9 , 1 1 5 9 , 4 9 3 5 8 , 6 [c i s k a n i e
3 0 8 , 8 2 3 5 8 , 6 6 2 2 5 , 8 4 6 8 e 3
6
-
- - - 1 0 0 , 5 k o m b r o z c i g a n i k o m b
9 - 9 1 , 7 7 - 3 6 , 6 4 - 6 0 , 8 9 - 5 , 6 4 9 , 5 3 1 0 0 , 5 1 - 1 3 2 , 0 3 4 1 , 5 5 3 2 4 , 8 [c i s k a n i e
2 7 7 , 2 8 3 2 4 , 8 9 2 0 2 , 7 7 1 8 e 3
9
1 - - 9 1 , 9 8 - - 3 7 , 0 4 - 6 1 , 2 2 - 6 , 4 2 4 8 , 5 2 9 9 , 3 5 - - 1 3 1 , 9 3 4 0 , 8 6 9 9 , 3 5 k o m b r o z c i g a n i - k o m b [c i s k a n i e
P A S G Ó R N Y
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I Z A R Z D Z A N I A W
J U S T Y N A C Z A P I E W S K A s t u d i a i n |y n i e r s k i e R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I ZR O D O W I S K A
P R O J E K T H A L I S T A L O W E J B E Z T R A N S P O R T U S t r 3 2 / 3 9
P O L I T E C H N I K A G D A CS K A
0 2 7 6 , 3 9 3 2 3 , 8 6 2 0 2 , 1 2 8 e 3 2 3 , 8 3
6
-
1 - - k o m b r o z c i g a n i k o m b
- 4 8 , 0 3 - 2 0 , 8 8 - 3 4 , 0 2 - 5 , 2 7 2 1 , 8 8 4 8 , 5 8 - 1 0 2 , 9 - 6 7 , 9 7 1 9 , 4 7 4 8 , 5 8 1 6 5 , 8 [c i s k a n i e
1 1 4 0 , 7 1 1 6 5 , 8 6 8 e 3
6
-
1 - - k o m b r o z c i g a n i k o m b
- 1 3 8 , 9 - 4 7 , 9 9 - 2 1 , 1 9 - 3 4 , 1 7 - 6 , 1 6 2 0 , 6 3 4 7 - 6 7 , 4 8 1 8 , 5 8 4 7 1 6 3 , 7 [c i s k a n i e
2 1 6 3 , 7 4 1 0 1 , 5 8 8 e 3
4
-
1 - - 1 8 4 , 0 k o m b r o z c i g a n i k o m b
1 6 3 2 8 , 7 6 1 8 4 , 0 2 - 9 , 4 6 - 1 , 0 1 - 3 8 , 6 9 - 7 6 , 9 1 1 1 9 , 2 6 0 , 8 2 1 0 1 , 0 [c i s k a n i e
3 1 0 1 , 0 7 5 2 , 4 2 2 3 e 8
7
1 - 2 1 9 , 2 k o m b r o z c i g a n i k o m b
1 9 3 , 6 6 3 5 , 7 8 2 1 9 , 2 2 - 9 , 1 4 1 , 3 8 - 4 3 , 2 9 - 8 8 , 2 1 - 1 1 7 , 4 1 4 1 , 6 3 7 3 , 3 3 - 1 1 7 , 4 [c i s k a n i e
4 6 0 , 4 9 2 3 e 8
-
1 - 2 1 9 , 2 k o m b r o z c i g a n i k o m b
1 9 3 , 7 3 5 , 7 9 2 1 9 , 2 6 - 9 , 1 4 1 , 3 8 - 4 3 , 3 - 8 8 , 2 3 1 4 1 , 6 5 7 3 , 3 4 - 6 0 , 5 1 1 7 , 4 [c i s k a n i e
5 1 1 7 , 4 2 6 3 e 8
2
-
1 - - - 3 3 5 , 0 k o m b r o z c i g a n i k o m b
2 9 3 , 6 5 6 4 , 0 3 3 3 5 , 0 4 - 1 , 8 8 1 6 , 2 7 - 4 9 , 3 4 2 1 4 , 7 5 1 1 7 , 7 1 1 6 1 , 7 [c i s k a n i e
6 1 1 5 , 2 6 1 6 1 , 7 2 8 0 , 8 5 4 3 e 8
2
-
1 - - - 3 3 5 , 0 k o m b r o z c i g a n i k o m b
2 9 3 , 6 6 6 4 , 0 3 3 3 5 , 0 5 - 1 , 8 8 1 6 , 2 8 - 4 9 , 3 4 2 1 4 , 7 5 1 1 7 , 7 1 1 6 1 , 7 [c i s k a n i e
7 1 1 5 , 2 5 1 6 1 , 7 2 8 0 , 8 5 5 3 e 8
2
-
1 - - 3 3 7 , 7 k o m b r o z c i g a n i k o m b
2 9 2 , 5 8 7 9 , 6 7 3 3 7 , 7 8 1 7 , 3 3 8 , 6 9 - 2 2 , 7 - 8 5 , 0 7 2 1 3 , 9 6 1 2 7 , 8 7 1 3 4 , 6 [c i s k a n i e
8 1 3 4 , 6 6 6 2 , 9 2 8 3 e 8
6
-
1 - - 3 3 7 , 7 k o m b r o z c i g a n i k o m b
2 9 2 , 5 8 7 9 , 6 8 3 3 7 , 7 8 1 7 , 3 3 8 , 7 - 2 2 , 6 9 - 8 5 , 0 7 2 1 3 , 9 6 1 2 7 , 8 7 1 3 4 , 6 [c i s k a n i e
9 1 3 4 , 6 6 6 2 , 9 1 8 3 e 8
6
-
2 - - k o m b r o z c i g a n i k o m b
2 9 3 , 6 6 9 5 , 2 6 3 4 3 3 5 , 9 7 6 0 , 7 5 2 , 7 - 5 6 , 5 9 2 1 4 , 7 5 1 3 8 , 5 3 3 4 3 1 0 9 , 6 [c i s k a n i e
0 1 0 9 , 6 8 4 6 , 1 6 3 e 8
8
-
2 - - 3 4 2 , 9 k o m b r o z c i g a n i k o m b
2 9 3 , 6 5 9 5 , 2 6 3 4 2 , 9 9 3 5 , 9 7 6 0 , 7 5 2 , 7 - 5 6 , 5 8 2 1 4 , 7 5 1 3 8 , 5 3 1 0 9 , 6 [c i s k a n i e
1 1 0 9 , 6 7 4 6 , 1 6 9 3 e 8
7
P A S D O L N Y
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I Z A R Z D Z A N I A W
J U S T Y N A C Z A P I E W S K A s t u d i a i n |y n i e r s k i e R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I ZR O D O W I S K A
P R O J E K T H A L I S T A L O W E J B E Z T R A N S P O R T U S t r 3 3 / 3 9
P O L I T E C H N I K A G D A CS K A
2 - 2 2 7 , 9 k o m b r o z c i g a n i k o m b
1 9 3 , 7 6 8 , 3 2 2 2 7 , 9 9 3 0 , 6 6 4 8 , 4 6 1 0 , 9 2 - 2 6 , 7 3 - 6 3 , 2 1 4 1 , 6 5 9 5 , 0 3 - 6 3 , 2 [c i s k a n i e
2 2 4 , 3 5 9 3 e 8
2 - 2 2 7 , 9 k o m b r o z c i g a n i k o m b
1 9 3 , 6 6 6 8 , 3 2 2 7 , 9 5 3 0 , 6 6 4 8 , 4 5 1 0 , 9 2 - 2 6 , 7 3 - 6 3 , 1 9 1 4 1 , 6 3 9 5 , 0 2 - 6 3 , 1 9 [c i s k a n i e
3 2 4 , 3 5 5 3 e 8
2 1 9 2 , 3 k o m b r o z c i g a n i k o m b
1 6 3 5 8 , 0 2 1 9 2 , 3 4 2 6 , 7 4 4 2 , 1 3 1 0 , 0 8 - 2 1 , 2 - 5 2 , 3 1 1 9 , 2 8 0 , 3 3 - 1 9 , 9 - 5 2 , 3 [c i s k a n i e
4 4 3 e 8
2 k o m b r o z c i g a n i k o m b
- 4 2 , 1 5 - 6 , 0 1 - 4 7 , 1 1 4 , 2 6 2 , 4 7 1 2 , 3 8 2 2 , 6 5 2 8 , 5 1 - 3 0 , 8 2 - 1 4 , 7 8 1 5 , 1 4 2 8 , 5 1 - 4 7 , 1 1 [c i s k a n i e
5 8 e 3
2 k o m b r o z c i g a n i k o m b
- 0 , 0 3 0 - 0 , 0 1 0 - 0 , 0 4 0 0 , 0 0 0 0 , 0 0 0 0 , 0 1 0 0 , 0 2 0 0 , 0 2 0 - 0 , 0 2 0 - 0 , 0 1 0 0 , 0 1 0 0 , 0 2 0 - 0 , 0 4 0 [c i s k a n i e
6 8 e 3
2 k o m b r o z c i g a n i k o m b
- 3 1 , 8 - 4 , 2 1 - 3 5 , 6 3 3 , 4 7 2 , 0 5 9 , 8 9 1 7 , 5 7 2 2 , 0 5 - 2 3 , 2 5 - 1 0 , 9 3 1 1 , 7 8 2 2 , 0 5 - 3 5 , 6 3 [c i s k a n i e
7 8 e 3
2 k o m b r o z c i g a n i k o m b
- 6 , 1 2 0 - 0 , 9 3 0 - 6 , 8 9 0 0 , 5 2 0 0 , 2 2 0 1 , 7 0 0 3 , 1 5 0 4 , 0 4 0 - 4 , 4 7 0 - 2 , 1 8 0 2 , 1 3 0 4 , 0 4 0 - 6 , 8 9 0 [c i s k a n i e
8 8 e 3
2 k o m b r o z c i g a n i k o m b
- 9 , 2 1 0 0 , 2 1 0 - 9 , 9 7 0 2 , 7 3 0 2 , 6 1 0 5 , 2 5 0 7 , 7 6 0 8 , 7 7 0 - 6 , 7 3 0 - 2 , 2 1 0 5 , 0 0 0 8 , 7 7 - 9 , 9 7 [c i s k a n i e
9 8 e 3
3 - k o m b r o z c i g a n i k o m b
4 , 7 8 0 1 , 2 3 0 5 , 5 1 0 0 , 2 1 0 0 , 5 6 0 - 0 , 4 9 0 - 1 , 5 1 0 - 2 , 3 2 0 3 , 4 9 0 2 , 0 4 0 5 , 5 1 0 - 2 , 3 2 0 [c i s k a n i e
0 1 , 1 1 0 3 e 7
3 - - k o m b k o m b
- 9 , 2 1 0 - 5 , 2 9 0 - 3 , 8 8 0 - 5 , 1 1 0 - 3 , 9 3 0 - 2 , 5 2 0 - 0 , 4 1 0 - 6 , 7 3 0 - 5 , 8 8 0 - 0 , 4 1 [c i s k a n i e - 1 1 , 3 [c i s k a n i e
1 1 1 , 3 0 0 1 , 1 2 0 8 3
3 k o m b r o z c i g a n i k o m b
- 6 , 1 2 0 - 2 , 4 0 0 - 7 , 2 4 0 - 1 , 2 4 0 - 1 , 8 4 0 - 0 , 7 5 0 0 , 4 1 0 1 , 5 9 0 - 4 , 4 7 0 - 3 , 1 6 0 0 , 5 0 0 1 , 5 9 0 - 7 , 2 4 0 [c i s k a n i e
2 8 e 3
-
3 - - - - k o m b r o z c i g a n i k o m b
1 3 , 0 2 - 7 , 1 4 0 - 4 , 8 0 0 1 , 0 8 0 7 , 3 7 0 - 1 6 , 8 0 0 2 , 0 0 0 7 , 3 7 - 3 7 , 8 [c i s k a n i e
3 3 1 , 8 0 0 3 7 , 8 0 0 1 0 , 3 7 0 2 3 , 2 5 0 8 e 3
0
3 k o m b r o z c i g a n i k o m b
- 0 , 0 3 0 - 0 , 0 1 0 - 0 , 0 4 0 - 0 , 0 1 0 - 0 , 0 1 0 0 , 0 0 0 0 , 0 0 0 0 , 0 1 0 - 0 , 0 2 0 - 0 , 0 2 0 0 , 0 0 0 0 , 0 1 0 - 0 , 0 4 0 [c i s k a n i e
4 8 e 3
-
3 - - - k o m b r o z c i g a n i k o m b
- 4 2 , 1 5 1 5 , 7 6 - 8 , 0 6 0 - 3 , 8 7 0 3 , 8 3 0 1 2 , 2 6 0 - 2 1 , 2 7 0 4 , 3 0 0 1 2 , 2 6 - 5 0 , 2 [c i s k a n i e
5 5 0 , 2 0 0 1 2 , 4 4 0 3 0 , 8 2 0 8 e 3
0
-
3 - k o m b r o z c i g a n i k o m b
- 8 8 , 8 5 - 1 7 , 9 1 2 , 1 5 - 3 , 2 3 1 7 , 3 6 3 7 , 4 2 5 1 , 3 6 - 6 4 , 9 7 - 3 4 , 6 4 2 6 , 0 9 5 1 , 3 6 1 0 1 , 2 [c i s k a n i e
6 1 0 1 , 2 3 8 e 3
3
3 9 7 , 5 5 2 3 , 8 9 1 1 2 , 0 7 2 , 6 4 9 , 3 1 - 1 2 , 0 3 - 3 3 , 2 8 - 4 9 , 3 6 7 1 , 3 4 4 0 , 8 5 - 1 1 2 , 0 k o m b r o z c i g a n i - 4 9 , 3 6 k o m b [c i s k a n i e
S AU P K I
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I Z A R Z D Z A N I A W
J U S T Y N A C Z A P I E W S K A s t u d i a i n |y n i e r s k i e R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
B U D O W N I C T W I E
W Y D Z I A L I N {Y N I E R I I L D O W A E J I ZR O D O W I S K A
P R O J E K T H A L I S T A L O W E J B E Z T R A N S P O R T U S t r 3 4 / 3 9
P O L I T E C H N I K A G D A CS K A
7 2 3 , 9 5 7 3 e 8
3 k o m b r o z c i g a n i k o m b
- 4 0 , 2 9 - 1 5 , 4 - 4 7 , 6 9 - 7 , 7 8 - 1 1 , 7 - 4 , 2 4 3 , 3 7 1 1 , 1 7 - 2 9 , 4 7 - 2 0 , 5 6 3 , 7 5 1 1 , 1 7 - 4 7 , 6 9 [c i s k a n i e
8 8 e 3
3 k o m b r o z c i g a n i k o m b r o z c i g a n i
4 , 8 1 1 2 , 3 5 8 , 3 2 1 3 , 6 3 1 6 , 2 8 1 8 , 0 3 1 9 , 3 1 1 6 , 1 9 3 , 5 2 9 , 4 7 1 1 , 2 4 1 9 , 3 1 4 , 8 1
9 7 e 1 e
4 - k o m b r o z c i g a n i k o m b
6 , 9 7 - 1 1 , 5 6 4 , 6 9 - 1 5 , 8 4 - 1 8 , 1 2 - 2 2 , 9 7 - 2 7 , 2 5 - 2 5 , 6 3 5 , 1 - 5 , 9 2 6 , 9 7 - 2 7 , 2 5 [c i s k a n i e
0 1 6 , 4 5 1 e 7
4 k o m b r o z c i g a n i k o m b r o z c i g a n i
6 , 9 7 1 4 , 9 8 1 1 , 4 1 6 , 2 8 1 9 , 5 9 2 1 , 2 6 2 2 , 5 6 1 8 , 5 9 5 , 1 1 1 , 7 6 1 3 , 0 3 2 2 , 5 6 6 , 9 7
1 7 e 1 e
4 - k o m b r o z c i g a n i k o m b
4 , 8 1 - 9 , 1 3 2 , 8 - 1 2 , 4 6 - 1 4 , 4 - 1 7 , 7 7 - 2 1 , 1 - 1 9 , 6 2 3 , 5 2 - 4 , 8 6 4 , 8 1 - 2 1 , 1 [c i s k a n i e
2 1 2 , 6 4 1 e 7
4 k o m b r o z c i g a n i k o m b
- 4 0 , 2 9 - 7 , 1 2 - 4 5 , 3 5 2 , 4 4 0 , 4 7 9 , 5 4 1 9 , 1 1 2 4 , 9 6 - 2 9 , 4 7 - 1 5 , 0 4 1 2 , 9 4 2 4 , 9 6 - 4 5 , 3 5 [c i s k a n i e
3 8 e 3
4 -
9 7 , 5 5 2 9 , 7 2 1 1 3 , 1 7 9 , 3 8 1 6 , 9 7 - 2 , 3 1 - 2 2 , 6 5 - 3 9 , 6 4 7 1 , 3 4 4 4 , 7 4
4 1 7 , 4 7
4 -
- 8 8 , 8 5 - 3 1 , 3 - 1 3 , 4 8 - 2 1 , 1 - 4 , 9 5 1 2 , 8 7 2 9 , 0 5 - 6 4 , 9 7 - 4 3 , 5 7 1 1 , 2 1
5 1 0 3 , 9 2
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I J U S T Y N A C Z A P I E W S K A s t u d i a
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
Z A R Z D Z A N I A W B U D O W N I C T W I E i n |y n i e r s k i e
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 5 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
8 . 0 . W y m i a r o w a n i e p r t ó w w i z a r a
8 . 1 . O k r e [l e n i e s i B d o z w y m i a r o w a n i w i z a r a
M a k s y m a l n a s i Ba r o z c i g a j c a M a k s y m a l n a s i Ba [c i s k a j c a
P r t
k N k N
1 5 9 , 0 8 - 3 5 8 , 6 6
P a s g ó r n y
3 4 3 - 1 6 1 , 7 2
P a s d o l n y
1 1 3 , 1 7 - 1 0 3 , 9 2
K r z y |u l c e
2 8 , 5 1 - 5 0 , 2
S Bu p k i
T a b e l a 5 S i By d o w y m i a r o w a n i a w i z a r a
8 . 2 . P a s g ó r n y
8 . 2 . 1 . W s t p n y d o b ó r p r z e k r o j u p r t a :
,
A e" , " = " 1 = 2 9 , 5 1 m ^ 2
" , " ,
P r z y j t o r u r k w a d r a t o w o 1 4 0 x 1 4 0 x 6 z e s t a l i S 2 3 5 J R
= 1 4 0 = 9 4 4
= 6 = 9 4 4 ^ 4
= 9 = 1 3 5
,
= 6 = 1 3 5
,
= 3 1 , 8 = 1 5 9
,
D
= 2 4 , 9 = 1 5 9
,
1 . 1 . 1 . K l a s a p r z e k r o j u
1 4 0 - 2 × 6 - 2 × 6
= = 1 9 , 3 3
6
2 3 5 2 3 5
= = = 1 , 0
2 3 5
3 3 = 3 3 > Ò! ó 1
1 . 1 . 2 . Zc i s k a n i e ( w y b o c z e n i e )
O k r e [l e n i e d Bu g o [c i w y b o c z e n i o w e j
= 2 , 0 1
= 4 , 0 2
= 0 , 9 × 4 , 0 2 = 3 , 6 2
S m u k Bo [ p o r ó w n a w c z a p r t a [c i s k a n e g o
2 1 0 0 0 0
= = × = 9 3 , 9 1 3
2 3 5
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I J U S T Y N A C Z A P I E W S K A s t u d i a
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
Z A R Z D Z A N I A W B U D O W N I C T W I E i n |y n i e r s k i e
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 6 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
S m u k Bo [ w z g l d n a
1 3 6 2
= = = 0 , 7 1
5 , 4 4 8 × 9 3 , 9 1 3
k r z y w a w y b o c z e n i a a ±= 0 , 2 1
P a r a m e t r k r z y w e j n i e s t a t e c z n o [c i
[ ]
¦ = 0 , 5 1 + - 0 , 2 + = 0 , 5 × 1 + 0 , 2 1 × 0 , 7 1 - 0 , 2 + 0 , 7 1 = 0 , 8 1
W s p ó Bc z y n n i k w y b o c z e n i a
1 1
= = = 0 , 8 4
¦ + ¦ - 0 , 8 1 + 0 , 8 1 - 0 , 7 1
N o [n o [ n a w y b o c z e n i e e l e m e n t u
0 , 8 4 × 3 1 , 8 × 2 3 , 5
= = = 6 2 7 , 7 3
,
1 , 0
S p r a w d z e n i e w a r u n k u
3 7 9 , 5 8 3
= = 0 , 6 0 5 Ò! B
6 2 7 , 7 3
,
8 . 3 . P a s d o l n y - r o z c i g a n i e
8 . 3 . 1 . W s t p n y d o b ó r p r z e k r o j u p r t a :
A e" " = " 1 = 9 , 6 6 m ^ 2
,
P r z y j t o r u r k w a d r a t o w o 1 0 0 x 1 0 0 x 6 z e s t a l i S 2 3 5 J R
= 1 0 0 = 3 2 3
= 6 = 3 2 3 ^ 4
= 9 = 6 4 , 6
,
= 6 = 6 4 , 6
,
= 2 2 , 2 = 7 7 , 6
,
I y = i z = 3 , 8 2 c m ^ 4 = 7 7 , 6
,
N o [n o [ n a r o z c i g a n i e e l e m e n t u
2 2 , 2 × 2 3 , 5
= = = 5 2 1 , 7
,
1 , 0
S p r a w d z e n i e w a r u n k u
3 4 3
= = 0 , 6 6 < 1 Ò! B
5 2 1 , 7
,
8 . 4 . K r z y |u l c e
8 . 4 . 1 . P r t y [c i s k a n e :
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I J U S T Y N A C Z A P I E W S K A s t u d i a
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
Z A R Z D Z A N I A W B U D O W N I C T W I E i n |y n i e r s k i e
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 7 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
8 . 4 . 2 . W s t p n y p r z e k r ó j
,
A e" , " = " 1 = 4 , 9 1 m ^ 2
, " ,
P r z y j t o r u r k w a d r a t o w 1 0 0 x 1 0 0 x 4 z e s t a l i S 2 3 5 J R
= 1 0 0 = 2 3 2
= 4 = 2 3 2 ^ 4
= 6 = 4 6 , 4
,
= 6 4 = 4 6 , 4
,
= 1 5 , 2 = 5 4 , 4
,
= 5 4 , 4
,
8 . 4 . 3 . K l a s a p r z e k r o j u
8 4
= = 2 1
4
2 3 5 2 3 5
= = = 1 , 0
2 3 5
3 3 = 3 3 > Ò! ó 1
8 . 4 . 4 . Zc i s k a n i e ( w y b o c z e n i e )
O k r e [l e n i e d Bu g o [c i w y b o c z e n i o w e j
= = 3 , 2
= 0 , 9 × 3 , 2 = 2 , 8 8
S m u k Bo [ p o r ó w n a w c z a p r t a [c i s k a n e g o
2 1 0 0 0 0
= = × = 9 3 , 9 1 3
2 3 5
S m u k Bo [ w z g l d n a
1 2 8 8
= = = 1 , 0 2 4
2 , 9 9 4 × 9 3 , 9 1 3
k r z y w a w y b o c z e n i a a ±= 0 , 2 1
P a r a m e t r k r z y w e j n i e s t a t e c z n o [c i
[ ]
¦ = 0 , 5 1 + - 0 , 2 + = 0 , 5 × 1 + 0 , 2 1 × 1 , 0 2 4 - 0 , 2 + 1 , 0 2 4 = 1 , 1 1
W s p ó Bc z y n n i k w y b o c z e n i a
1 1
= = = 0 , 6 5
¦ + ¦ - 1 , 1 1 + 1 , 1 1 - 1 , 0 2 4
N o [n o [ n a w y b o c z e n i e e l e m e n t u
0 , 6 5 × 1 5 , 2 × 2 3 , 5
= = = 2 3 2 , 1 8
,
1 , 0
S p r a w d z e n i e w a r u n k u
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I J U S T Y N A C Z A P I E W S K A s t u d i a
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
Z A R Z D Z A N I A W B U D O W N I C T W I E i n |y n i e r s k i e
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 8 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
1 0 3 , 9 2
= = 0 , 4 5 Ò! B
2 3 2 , 1 8
,
8 . 4 . 5 . R o z c i g a n i e :
P r z y j t o r u r k w a d r a t o w 1 0 0 x 1 0 0 x 4 z e s t a l i S 2 3 5 J R
= 1 0 0 = 2 3 2
= 4 = 2 3 2 ^ 4
= 6 = 4 6 , 4
,
= 6 4 = 4 6 , 4
,
= 1 5 , 2 = 5 4 , 4
,
= 5 4 , 4
,
N o [n o [ n a r o z c i g a n i e e l e m e n t u
1 5 , 2 × 2 3 , 5
= = = 3 5 7 , 2
,
1 , 0
S p r a w d z e n i e w a r u n k u
1 1 3 , 1 7
= = 0 , 3 2 Ò! B
3 5 7 , 2
,
8 . 5 . S Bu p e k
8 . 5 . 1 . P r z y j t y p r z e k r ó j
P r z y j t o r u r k w a d r a t o w o 5 0 x 5 0 x z e s t a l i S 2 3 5 J R
= 5 0 = 2 3 , 7
= 4 = 2 3 , 7 ^ 4
= 8 = 9 , 4 9
,
= 4 = 9 , 4 9
,
= 6 , 9 5 = 1 1 , 7
,
D
= 4 , 3 9 = 1 1 , 7
,
8 . 5 . 2 . K l a s a p r z e k r o j u
5 0 - 2 × 4 - 2 × 4
= = 8 , 5
4
2 3 5 2 3 5
= = = 1 , 0
2 3 5
3 3 = 3 3 > Ò! ó 1
8 . 5 . 3 . Zc i s k a n i e ( w y b o c z e n i e )
O k r e [l e n i e d Bu g o [c i w y b o c z e n i o w e j
= = 2 , 5
= 0 , 9 × 2 , 5 = 2 , 2 5
S m u k Bo [ p o r ó w n a w c z a p r t a [c i s k a n e g o
K A T E D R A K O N S T R U K C J I M E T A L O W Y C H I J U S T Y N A C Z A P I E W S K A s t u d i a
R o k a k a d e m i c k i 2 0 1 1 / 2 0 1 1
Z A R Z D Z A N I A W B U D O W N I C T W I E i n |y n i e r s k i e
W Y D Z I A L I N {Y N I E R I I L D O W A E J I
P R O J E K T H A L I S T A L O W E J B E Z
ZR O D O W I S K A
S t r 3 9 / 3 9
T R A N S P O R T U
P O L I T E C H N I K A G D A CS K A
2 1 0 0 0 0
= = × = 9 3 , 9 1 3
2 3 5
S m u k Bo [ w z g l d n a
1 2 2 5
= = = 1 , 6 4 9
1 , 4 5 2 × 9 3 , 9 1 3
k r z y w a w y b o c z e n i a a ±= 0 , 2 1
P a r a m e t r k r z y w e j n i e s t a t e c z n o [c i
[ ]
¦ = 0 , 5 1 + - 0 , 2 + = 0 , 5 × 1 + 0 , 2 1 × 1 , 6 4 9 - 0 , 2 + 1 , 6 4 9 = 2 , 0 1 2
W s p ó Bc z y n n i k w y b o c z e n i a
1 1
= = = 0 , 3 1 6
¦ + ¦ - 2 , 0 1 2 + 2 , 0 1 2 - 1 , 6 4 9
N o [n o [ n a w y b o c z e n i e e l e m e n t u
0 , 3 1 6 × 6 , 9 5 × 2 3 , 5
= = = 5 1 , 6 1
,
1 , 0
S p r a w d z e n i e w a r u n k u
5 0 , 2
= = 0 , 9 7 Ò! B
5 1 , 6 1
,
8 . 5 . 4 . R o z c i g a n i e
N o [n o [ n a r o z c i g a n i e e l e m e n t u
6 , 9 5 × 2 3 , 5
= = = 1 6 3 , 3 2 5
,
1 , 0
S p r a w d z e n i e w a r u n k u
2 8 , 5 1
= = 0 , 1 7 Ò! B
1 6 3 , 3 2 5
,
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