Page 53 - Using ANSYS for Finite Element Analysis A Tutorial for Engineers

40 • Using ansys for finite element analysis
Therefore, substituting in [B] matrix,

−  125 0 250 0 −125 0 
B [] = 1   0 −250 0 0 0 250  
62500
   −250 −125 0 250 250 −125 

For plane stress, the [D] matrix is conveniently expressed here as:

 
1 u 0 
E  
D [] =  u 1 0 
(1 −u 2 )  1 −u 
00 
 2 

With ʋ = 0.3 and E = 210 GPa, we obtain

 1 0 3 . 0 
D [] = 210000   03 . 1 0  
.
091
  0 0 035  
.
 −125 0 −250
 
0 −250 −125
   1 0 3. 0 
T 210000  250 0 0   
D
.
Then, B [] []=   03 1 0
62500 091) 0 0 250  
(.
 
.
 0 0 035
 −125 0 2 250   
 
  0 250 − 125 
 −125 −37 5 −875 
.
.
 
.
 −75 −250 −43 75 
T
D
B
∴[] [] = 3 6923   250 75 0  
.
 0 0 87 5 
.
 −125 −37 5 . 875 . 
−
 
  75 250 −43 75  
.