Strength Analysis of Steel-Concrete Composite Beams in Combined ...

shootperchΠολεοδομικά Έργα

26 Νοε 2013 (πριν από 3 χρόνια και 10 μήνες)

94 εμφανίσεις


 
   
 



 
 

 
 


 
 




   
    
   
   
    
  
 
   
 
 
 



 
 
 
            
  
 
 

 
 

 
         
 
   
  

 
      
   
 
  
 
          
   
   
      
           



 

  

     
 
  
 
  
 
 

       
    
 



 
     
       



   




 

      !"#

"$"
%
"%


 
  &
 $ % # '
 '
 
(
  ) % *  % )%* +,-+ 
 " &

#
 %
(
#  . # ' /  0 
+
   &

 % # '
 '
  (
 
)%* %)%*+,-+
 
+
1
 &

 #'
 % # '
 '
 
(
)%* %)%*+,-+
 
2
3


#'
(
4 !
 432,5+

 

%
             


#               


. 


   
 
  
 

  
 #
  
 
 



#   
   
  6    
  
  
   
    
 
 

        
  
 
    

     
  

     % +1+5 7889:
'
 2 7882:  3;$ 7888: 
  
   7< 

 881:  

           

      
 
 
  
 
 

    



' 
  

 
  
     
 


 <  * 785+:
  
           

 


   



 
 
 
 
      
78=+:      

      

 
   
1
 
   
 &

 #
 78=5:   
   
  

 

 

 
  
  
 

 




   



 
;
 
   

  
     
  
 
      
   
     

       


)
   78=8: ;
 
788: 

 
      

    
         


    





 
 

 
 


  
 
       
 
  
  

 
 
 
  
 
     

' 

#  
78=+:   
78==:  
 
         
 
   


 
  78==:
    
 


 
 
)
           >     
  
 ?  #   789=: 
  
 
   
   
    
         
  

    @      .
 ? 78=,:    

  

   >     
    
 
4 
 
  
     
  
 
 
2
 
  

    
    @    
 
  

 
 

    ; > 
  )  78=8: 
   
  
 

 
      
  

     
 





 ;
788,:
 
   
 

      
  % 
   788=: 
 
        
    
  
   
 
 



 
  
 
 
   7888: >    

!4(%         
     
    %


    
 
  

%   A#7+,,,:





   

 


  
    
 
 
  @    

$ 
 7+,,,:
  > 
 

 ! @
 7+,,+:  
 



 
!4(%$



3    7+,,2 :   
 @ 
      
       
  
   
 


 
 
  
      
 
 

 
  
 
     
 
   
 
-
 
  
 


 
 

   
 
       
 
   
 

  
      
        



 
 


   
  
     6    
 


 


 
  !    
 
   
 
  


 






 
    

 

   

 !4(% 
 91 7+,,+:     

         
  
 
    
6 

  
 

  
 
 
 

        
   
  
 @B
  
 
  1        

  
 
   A  

      

   
        
    
  
 
@      
>          

$
9

 

  

   

 
 

 
   
    7C   +,,+:  



  
 
    
       
  
 
  

  73   ( +,,," 3    +,,2:   
 


   
        
   
 
 

 


    $ +    
    

   A 
  

   ?D  &D

  
    
     
       


 
' 
          
 
   
 
 
,+-  




   
%



 

 
 

  @@  
    

   

 
      

 
       


   
       ;
 3 
    
 
 $
 



 
   



 
   
        

 
   

 
     
   
   

  
 

  

  

 

 

 
 
 




 
5
 
    
 


    $ +      







 
   
#

      
 




 

  

#


 #
78=-:  
 
(
)
γ
εεγ
εεγ
σ
:B7
B
D

D

D


+−
=

7:



σ
 E 
 
  
"

ε
 E 
  
"
D

  E  




"
D

ε E



D

" 
γ

--
21+
1
D

+=

γ 7+:
 
D

    A&   

D

ε      @ ,,,+  

 
 


 

2+-A& $1



  
  
  
      
    
,2
D

 !         
     
    
  


         

   
=
     
 
   
 
        


   

  @ 9
  

  

  
  @ ,,=19
   
  
  
 

   
      


 


   
  
         
 
 
  
@ 
 

>
 
@ 



     


     $ 2     

 
  
   
    
   
 
@ 


 
@   
 
  
  >
   
  
       
  

        

 







 > 
 


 
 
$
 


  
 

 >
     @     
   
     
.
       

 
 7! @
 +,,+"3  +,,2 :
  
, 




  

 
8




@   


 

@



@

 


ϕ
=



  

@
 
ϕ


 

:B7
 
ε
ε
ϕ

=


 
ε
ε
<
71:
,
=
ϕ


 
ε
ε

72:
 

ε
 E 
 
 
  
@  

       

   
@
 
  >
   
@  
  &



ε
E,,,-  8-,
=
ϕ
 
    
     

 

 
 7888: 3  7+,,2 :
 
  
*
 788,:      
       

  
 
  
  
      
 

  
          
   



%


  
 
              
 
     
      @       
       


  



 
$
+    
  
 
  
  & 6 
    

 







 
,
                  
  

 
 
 

  

 
      
@ 

   #
  E      

       3     
   

  

 
      
   
@ 
;@    

    
   
   
    
   
  
  
     
     
       >   

   7':  #   !  @
  7892:  



  

  
             
 
   --
 $
- A 
  

     
        

>  $
  
1×9   +×9,
 1×9, 

  

   
$9
 

$9   


        
          

 282@)8-1F 
  

   
   
  
        


     


  
 
 

 
    
     

 
     
 B

 7
α
: 
 
 
      
            7':  #   !  @
 
7892: 

  


     
    B

      

,2,-,5-,+-5- +5-

 ,=,-+,
++- 1-  -- 
 %      
   

   
 
    #   !  @
  7892:  
 

  
   
  A 
 

 


  
   
   
 
   
    
     
 B


   $ 5     

 $ 5   
            
 


 
@    
 
   
  
+
 
  
       
       
 
 
 B

   
 
  
    B

   6       
   
  
          
    


   *B

  
    
  
        
   B


          
α
E,2 
,-     $ 5   
  
   
   


 
 !   
  
        B

  


 
           
 @ 

  
   
  
 


 
  
  
          
      
   

   
$=    

 
B

 
        $ = *  
  
      
  
 
         
 
  
 
 
 
 
 @

 


B

  
   
 

 

  
      
 
       


  =,2@)218@) 

1
%+1+57889:
 
 
  


 =-F
   ! 
   "  !  ! 
    
  
           

 
 %+1+57889:'

27882: 3;$7888:   



 
 


 


       
       
 

   
   
  
  
 
 
   

7  

8==:   
   ,= 



   > 
 
 
 
  
    


   
   
 
 

3  7+,,,+,,+:   


    #   !  @
  7892:  
    
 $-G
 
 

 
  
 
  
   
      

 A 
 

 
  
$8 

 



 
   

$8 

 

 
  
 


 7
β
:  
  
   
     

2
78==: * 
>
β
  
  
 
      
  

             
    

 
 $ 8    
  
 
        

+8-F
   
#$     
  
 
' 
  
          
   
  @ 

 

 
  @     

 



  


 
(
)
β+8-,

+= :,7


β
7-:



 E 

 

"

 E 

 
       
 
 7 >
 
  

:" 
β
E  
  
         
 



   

  
 
         7

:    @ 

  

   
   
 
  
 
  
  

  
  
      $ ,        
 


 

-
  
   
   
         
  
@  
 
  
  

   

 


 


    



+
=
79:



 E

 " 

 E
  
           
   
 
  
   
 7)
     8=8:   
   
  


 
 



 7

:
 @ 



 
 
    




 


 
 
(
)

1B
D
 
9  = 75:


D

 E


7A& :" 

 E


 
   

   
            

:7 
+
=
  

 E             

 E 
     
   $
      
   
 


 

   @ ::77



 

+
+



E


 



     
 '  75:          

9

   
     
     

  



  

       
 
           
 
 

H+:7I 

+
+
=
π
7 
:7=:

:7  
+
=
π
7:78:



 E  
"

E "


E


 " 

 E

7A& :  


 


  
 

 ' 7=: 78:

    
7
 
 !


88:

9,
α
=
7,:



 E
7A& :"

 E"

 E
@" 

α
E
 



@

 


α
  ,
@
@
    

5
!  
    
 
   

     
  
     

  
              
  %
+1+57889: '
27882:
  .





  

   
  
 
   
    




 

9


9


=








+












7:



E      

"

E    
"

 E
 

  
" 

 E
 

 









  $=

$= 
 


 

       7

:       
  


 

   7G

!

 888" % +1+5 889"'
 2 882" 3;$ 888:    


7

:  


    ' 7-:
 7



:   
 
 
   $ = 

  
 B

                
=
B

7

B :   
α
 B

@
     
            

 
@' 7:


    
  
 
   
    

 
  
 

 


  
 

 



 

  
  


    

  
      
      
  



 @     

 
B

 



   
  
 
         


 

 
 

 


 
 
        
     
 
  
)
 
  
 

 
     
    
    
  



 


  

   





    
    
 
 
  

         
        B

8

      
 
   
       
@  
 
          
 
  
   

        
         

  
        
   
 

73    +,,2 :    
    

    

  
 @ 
   
             

         
      




 
%&  
 
@    
   
&
6 J
 
   
 
;
#  

 @
'
 


 



E 

 
"


E   "


E  "

 E  
 "


E  
  


+,


E?K
"


E?K"
D


E 



"


E 




E  
"


E 
"


E 
 "

E 

@
"


E  

@
"


E 





E

"


E     "

E     
"


E   




E @"


E 


 


E  

 "

 E  


 

E 


 


E  

  



E  

 

"
α
E B

  B
=
α
"
+

α
E
 


"
β
E 

"
γ
E 






"

ε
E 

"
D

ε
E





D

"

ε
E  

"

ε
E 
"

ε
E  
"

ε
E 
"
ν
E &K
"

σ
E 


"

σ
E 
" 
ϕ
E
 

(    
 !
"
  
#$% 7+,,+:. C
  %
 
& @;

;  A ;
  A 788,: L)
  
   
 
 
M&$'!$1-7:==5
; * <; &  A   A 78=+: L    
 

M($)
$&*$$(+,51+--+59
++
% +1+5 7889: &
!
, ( )!! 
 % 


 %
! @
C%  )' 
N7+,,+:L$  

 

M-$!$$+=78:-=9=
#



  < # C. 78=-: L%


  
   
 

M&)!$-$=+7:585=,2
#  <# !  @
 %7892:L' 
 M
 !$
$2+7:1981=1
# *# 
78=+:L M-$
!$$,=7%:2-9+

  ;#78==:L3;$
 


M-$!$$271:-1---+
 ;#  
  78==: L*      

 M-$!$$271:-=-12
'
 2 7882: 
  &
!  &!
 (.$., 
/
/


$ 
 J A 
 J #> ' 7+,,,: L    
 
 
 M-$!$$+97:+==+82
.
A<% ?A$78=,:L    



M&$'!$+11+15
<; &  
  7881: 
"
 01   2$  

3
<; &  *;  785+: LN
  
   
 M($)
$&*$$(+,-1=8+,-
+1
C ;! A &  )
   7+,,+: L'  
 
 
 


 M !$$+81-
3 44 (!7+,,,:L
  @ 

 M&$!$5-7-:25828,
3  4 4 (!!

 A  ; .; 7+,,2 : L(  
 
        
M -$ &
$!/
$
9,7=:,8+=
3 44(! %J&7+,,+:L&

  > 





M-$!$$+=79:=-=+1
3  4 4 (! *
.  !

 A  7+,,2: L3  @  
    @    
    
  
M -$!$
$1,71:2212-
3  4 4 O? A  % J & 7+,,,: L >   
 
 

 
 

   
 

M &)!$ -$
857+:1++11,
3;$ 7888: 3 /

 4 
! ! 


 %#

)
  ;
;A ;
A78=8:L%


 


 
M-$&
$!/
$+-99
G
  < !

 A  7888:   *  &
! 
&! 
$!

. G 

&

A #
P'78=5:L( 

 



M($)$&$!!
,#

(C;)
   '
3--92
+2
; > 
  J  )  A 78=8: L   
   

 




M&$'!$1+7:9852
;
  A  
;  A 788: L%
 
     


M-$!$$575:=858,
% 
 A; % ' %!  $
  A 788=: L)
   
 
 

M-$!$$+27,:2=-=
%   *  A#;' 7+,,,: L)
 $'    



M-$!$$+979:99+952

N#%%  )' 3<?;7888:L)
  

 
 M4
$
$1++-18

 
 ) % !

 A  788:    *  
 !!

#  Q. 3
*
.  788,: L 
       
  
M-$&
$!/
$-2892
?  3# & #   <# 789=: L    
   

  
R($)
$&*$$29-9=1
+-
) *)  
 



,


ε

ε

εεεε

 
σ
σ
σ
σ
) +) %






+9
,
,
+,
1,
2,
-,
,,,,,,,+,,,1,,,2,,,-,,,9
εεεε


 
σ
σ
σ
σ
 
) ,) %








,
ε
ε

εεεε


 
σ
σ
σ
σ

) -) %





+5
) .) #
 7#   !  @
 892:
,
,,
+,,
1,,
2,,
-,,
9,,
,,+,1,2,-,9,5,=,8,
 


' 
7#   
!  @
 892:
$
) /) #

 
  
+=
αE5-
αE+-
α E,
α E,5-
αE,-
α E,2
,
+,,
2,,
9,,
=,,
,,,
+,,
2,,
9,,
=,,
,,+,1,
 


) 0) 3 
 
B


,
,+
,2
,9
,=

+
,,+,2,9,=  +







$
&

) 1) A

 
+8
,
+,,
2,,
9,,
=,,
,,,
,,+,2,9,=  + 2 9
   

ββββ



) 2) '

 

 
,
,+
,2
,9
,=

+
2
9
,,+,2,9,=  + 2
   

ββββ




$
&

) *3) &


 

 
1,
4 *) A 
 

   
A 
  &

 N 
?


 7A& :
+9-
( 


 7A& :
2,
?K

 7A& :
1
,+,-×
&K

ν
,1
%


( 


ε
,+-
?


 7A& :
+-,
( 


 7A& :
1-,
?K

 7A& :
1
,+,,×
&K

ν
,1
;


( 


ε
,+-
#


D

 7A& :
2+-



 7A& :
1--1
?K

 7A& :
1+8+,
&K

ν
,-
#

( 



ε
,,,2-
% 7:,
)

 +
?


 7A& :
21-
( 


 7A& :
-9-
?K

 7A& :
1
,+,,×
&K

ν
,1
%


( 


ε
,+-
   
) *)  
 
) +) %






) ,) %






) -) %





1
) .) #
 
) /) #

 
  
) 0) 3 
 
B


) 1) A

 
)2) '

 

 
)*3) &


 

 
4 *) A 
 

   