ÿþ1 . D a n e g e o m e t r y c z n e i z a Bo |e n i a w y j [c i o w e d o p r o j e k t o w a n i a :
L c o l : = 6 . 8 m - w y s o k o [ s Bu p a
a : = 2 . 3 m - w y s i g l e w e g o r y g l a
b : = 3 . 3 m - w y s i g p r a w e g o r y g l a
G : = 5 5 k N - c i |a r r u r o c i a g u
P : = 1 1 0 k N - c i |a r m e d i a
f : = 0 . 1 2 - w s p ó Bc z y n n i k t a r c i a
L o k a l i z a c j a : W r o c Ba w
g Bb o k o [ s t r e f y p r z e m a r z a n i a :
h z : = 1 . 0 m
2 . D o b ó r w y m i a r ó w p o s z c z g ó l n y c h e l e m e n t ó w :
2 . 1 S Bu p
l 0 l 0
l 0 : = 2 ×ðL c o l = 1 3 . 6 m h s 1 : = = 0 . 6 8 m h s 2 : = = 0 . 5 4 4 m
2 0 2 5
p r z y j m u j e :
h s : = 0 . 6 m b s : = h s = 0 . 6 m
2 . 2 R y g i e l :
b r : = b s = 0 . 6 m h r : = b r + 0 . 2 m = 0 . 8 m
2 . 3 S t o p a f u n d a m e n t o w a
W s t p n i e p r z y j t o w y m i a r y s t o p y f u n d a m e n t o w e j :
B : = 4 . 0 m L : = 4 . 0 m H : = 1 . 1 m
3 . Z e s t a w i e n i e o b c i |e D
3 . 1 . O b c i |e n i a s t a Be
k N
³b e t : = 2 5
- c i |a r o b j . b e t o n u
³G : = 1 . 3 5 ( 1 . 0 ) - w s p . o b l i c z e n i o w y
3
m
C i |a r w Ba s n y r y g l a
k N
g r : = h r ×ðb r ×ð³b e t ×ð³G = 1 6 . 2 ×ð
m
C i |a r w Ba s n y s Bu p a
k N
g s : = h s ×ðb s ×ð³b e t ×ð³G = 1 2 . 1 5 ×ð
m
C i |a r w Ba s n y r u r o c i g u
k N
G d : = G ×ð³G = 7 4 . 2 5 m ×ð
m
3 . 2 . O b c i |e n i a z m i e n n e
³Q : = 1 . 5 0 ( 0 . 0 ) - w s p . o b l i c z e n i o w y d l a o b c i |e n i a z m i e n n e g o
O b c i |e n i e p i o n o w e
P d : = P ×ð³Q = 1 6 5 ×ðk N - o b c i |e n i a p i o n o w e o d m e d i u m
O b c i |e n i e p o z i o m e
H d : = f ×ð + G d = 2 8 . 7 1 ×ðk N - o b c i |e n i a p o z o i m e o d t a r c i a m e d i u m o [c i a n k i r u r o c i g u
( P )
d
4 . 3 O b c i |e n i a z m i e n n e w p k t A 4 . 4 O b c i |e n i a z m i e n n e w p k t . B
4 . 5 O b c i |e n i a z m i e n n e w p k t . C
5 . Z e s t w i e n i e m a k s y m a l n y c h s i B p r z e k r o j o w y c h
5 . 1 R y g i e l l e w y
2
g r ×ða
M x . r l : = + G d ×ða + P d ×ða = 5 9 3 . 1 2 4 ×ðk N ×ðm M y . r l : = H d ×ða = 6 6 . 0 3 3 ×ðk N ×ðm
2
Q x . r l : = g r ×ða + G d + P d = 2 7 6 . 5 1 ×ðk N Q y . r l : = H d = 2 8 . 7 1 ×ðk N
5 . 2 R y g i e l p r a w y
2
g r ×ðb
M x . r p : = + G d ×ðb + P d ×ðb = 8 7 7 . 7 3 4 ×ðk N ×ðm M y . r p : = H d ×ðb = 9 4 . 7 4 3 ×ðk N ×ðm
2
Q x . r p : = g r ×ðb + G d + P d = 2 9 2 . 7 1 ×ðk N Q y . r p : = H d = 2 8 . 7 1 ×ðk N
5 . 3 S Bu p
K o m b i n a c j e d l a z g i n a n i a
I K o m b i n a c j a ( M a x y m a l n y m o m e n t M . x o r a z w a r t o [c i o d p o w i a d a j a c e )
2 2
b a
M x . s : = g r ×ð - g r ×ð + G d ×ð( b - a ) + P d ×ðb = 6 6 4 . 1 1 ×ðk N ×ðm
2 2
M y . s : = H d ×ðL c o l = 1 9 5 . 2 2 8 ×ðk N ×ðm
N s : = g r ×ð( a + b ) + g s ×ð + 3 ×ðG d + P d = 5 6 1 . 0 9 ×ðk N
( L )
c o l
Q y . s : = H d = 2 8 . 7 1 ×ðk N
I I . K o m b i n a c j a ( M a x y m a l n y m o m e n t M . y o r a z w a r t o [c i o d p o w i a d a j c e )
M y . s : = 3 H d ×ðL c o l = 5 8 5 . 6 8 4 ×ðk N ×ðm
2 2
b a
M x . s : = g r ×ð - g r ×ð + G d ×ð( b - a ) + P d ×ð( b - a ) = 2 8 4 . 6 1 ×ðk N ×ðm
2 2
N s : = g r ×ð( a + b ) + g s ×ð + 3 ×ðG d + 3 P d = 8 9 1 . 0 9 ×ðk N
( L )
c o l
Q y . s : = 3 H d = 8 6 . 1 3 ×ðk N
K o m b i n a c j e d l a s k r c a n i a
I . M a k s y m a l n y m o m e n t s k r c a j c y i o d p o w i a d a j c a m u s i Ba [c i n a j c a :
M z . s : = ( a + b ) ×ðH d = 1 6 0 . 7 7 6 ×ðk N ×ðm Q y . s : = H d = 2 8 . 7 1 ×ðk N
I I . M a k s y m a l n a s i Ba [c i n a j c a i o d p o w i a d a j c y m o m e n t s k r c a j c y :
M z . s : = ( b - a ) ×ðH d = 2 8 . 7 1 ×ðk N ×ðm Q y . s : = 3 H d = 8 6 . 1 3 ×ðk N
6 . D a n e m a t e r i a Bo w e
6 . 1 B e t o n C 3 0 / 3 7
w s p ó Bc z y n n i k b e z p i e c z e Ds t w a
³c : = 1 . 4
w y t r z y m a Bo [ c h a r a k t e r y s t y c z n a n a [c i s k a n i e b e t o n u
f c k : = 3 0 M P a
f c k
w y t r z y m a B[ o b l i c z e n i o w a n a [i s k a n i e b e t o n u
f c d : = = 2 1 . 4 2 9 ×ðM P a
³c
[r e d n i a w y t r z y m a Bo [c n a [c i s k a n i e b e t o n u
f c m : = f c k + 8 M P a = 3 8 ×ðM P a
2
3
f c k
æð öð
[r e d n i a w y t r z y m a Bo [ n a r o z c i g a n i e b e t o n u
f c t m : = 0 . 3 ×ðçð ÷ð ×ðM P a
M P a
èð øð
w y t r z y m a Bo [ c h a r a k t e r y s t y c z n a n a r o z c i g a n i e b e t o n u
f c t k : = 2 M P a
f c t k
w y t r z y m a Bo [ o b l i c z e n i o w a n a r o z c i g a n i e b e t o n u
f c t d : = = 1 . 4 2 9 ×ðM P a
³c
0 . 3
f c m
æð öð
3
[r e d n i m o d u B s p r |y s t o [c i b e t o n u
E c m : = 2 2 ×ðçð0 . 1 ×ð ÷ð ×ðM P a ×ð1 0 = 3 2 . 8 3 7 ×ðG P a
M P a
èð øð
6 . 2 S t a l z b r o j e n i o w a R B 5 0 0 W
w s p ó Bc z y n n i k b e z p i e c z e Ds t w a
³s : = 1 . 1 5
c h a r a k t e r y s t y c z n a g r a n i c a p l a s t y c z n o [c i
f y k : = 5 0 0 M P a
f y k
o b l i c z e n i o w a g r a n i c a p l a s t y c z n o [c i
f y d : = = 4 3 4 . 7 8 3 ×ðM P a
³s
w y t r z y m a Bo [ c h a r a k t e r y s t y c z n a n a r o z c i g a n i e
f t k : = 5 5 0 M P a
f t k
w y t r z y m a Bo [ o b l i c z e n i o w a n a r o z c i g a n i e
f t d : = = 4 7 8 . 2 6 1 ×ðM P a
³s
m o d u B s p r |y s t o [c i s t a l i
E s : = 2 0 0 G P a
7 . W y m i a r o w a n i e r y g l a
7 . 1 O t u l e n i e z b r o j e n i a
K l a s a e k s p o z y c j i X C 4 Z a l e c a n a k l a s a k o n s t r u k c j i : S 4
p r z y j t a [r e d n i c a z b r o j e n i a
Õ : = 2 5 m m
o t u l e n i e z e w z g l d u n a p r z y c z e p n o [
c m i n . b : = Õ = 2 5 ×ðm m
o t u l e n i e z e w z g l . n a w a r u n k i [r o d o w i s k a
c m i n . d u r : = 3 0 m m
”c d u r . ³ : = 0 m m o t u l e n i e z e w z g l . n a b e z p i e c z e Ds t w o
”c d u r . s t : = 0 m m z m n i e j s z n i e o t u l e n i a z e w z g l . n a s t a l n i e r d z e w n
”c d u r . a d d : = 0 m m z m n i e j s z e n i e o t u l e n n i a z e w z g l . n a d o d a t k o w e
z a b e z p i e c z e n i e
”c d e v : = 1 0 m m d o d a t e k z e w z g l . n a o d c h y Bk
M i n i m a l n e o t u l e n i e :
c m i n : = m a x + ”c d u r . ³ - ”c d u r . s t - ”c d u r . a d d , 1 0 m m = 3 0 ×ðm m
( c )
m i n . b , c m i n . d u r
N o m i n a l e n o t u l e n i e :
c n o m : = c m i n + ”c d e v = 4 0 ×ðm m
7 . 2 G r a n i c z n a w z g l d n a w y s o k o [ s t r e f y [c i s k a n e j
µc u 2 : = 0 . 0 0 3 5 o d k s z t a Bc e n i a w b e t o n i e [c i s k a n y m
- f y d
- 3
µy d : = = - 2 . 1 7 4 ´ð 1 0 o d k s z t a Bc e n i a w s t a l i
E s
µc u 2
æð öð
¾e f f : = = 0 . 6 1 7 w z g l d n a w y s o k o [ s t r e f y [c i s k a n e j
çð ÷ð
µc u 2 - µy d
èð øð
¾e f f . l i m : = 0 . 8 ×ð¾e f f = 0 . 4 9 3 g r a n i c z n a w z g l d n a w y s o k o [c s t r e f y [c i s k a n e j
7 . 3 W y m i a r o w a n i e r y g l a n a z g i n a n i e
M o m e n t y z g i n a j c e :
M x . r l = 5 9 3 . 1 2 4 ×ðk N ×ðm M x . r p = 8 7 7 . 7 3 4 ×ðk N ×ðm
M y . r l = 6 6 . 0 3 3 ×ðk N ×ðm M y . r p = 9 4 . 7 4 3 ×ðk N ×ðm
O b l i c z e n i e p o t r z e b n e g o z b r o j e n i a A . s 1 x
h r = 0 . 8 m w y s o k o [ r y g l a
b r = 0 . 6 m s z e r o k o [ r y g l a
d x : = h r - 0 . 5 Õ - 8 m m - c n o m = 0 . 7 4 m
w y s o k o [ u |y t e c z n a
M E d . x : = M x . r p = 8 7 7 . 7 3 4 ×ðk N ×ðm
m o m e n t o b l i c z e n i o w y
M E d . x
S c . e f f : = = 0 . 1 2 5 w s p ó Bc z y n n i k p o m o c n i c z y
2
b r ×ðd x ×ðf c d
¾e f f : = 1 - 1 - 2 ×ðS c . e f f = 0 . 1 3 4 z a s i g e f e k t y w n e j s t r e f y [c i s k a n e j
¾e f f . l i m = 0 . 4 9 3 g r a n i c z n y z a s i g s t r e f y [c i s k a n e j
¾e f f <