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 










  








         
 
 
  



 
 

 

 



 





 
  
 



 

 


  




 





 
   



 

 



 
 


  













 



 


 



 




  



 


 
 


 




   
   






 





   
         
 
  








 













    
  






























 



 




























   





 


 



  


  




 

  


 





  





















  










  

 

 



 
 

  
 
 












   















 


 

 



 


 

 
    

     

 

  
 


    




 





 


 

 

      

  
    
 


       
        
   
 

 
  

 

 
  
 


 
  




    
  
 










  

 


 
  
 

 
 

 
  








 

   
  
 


 







   
  
 


 



 
  





 
  
 



 

 
 
 





 
  
 


 
  



 

   
  
 








    


    







 








     



    


          

  
  


 
 


 
 


     


        
  
 







 





 

 
 
    

     


 




 






 
      
   
 





 

                
 


 





  


 


  
 
   



 
   
   










 
  


   

    


 

  
      








     




 

   


 

  
 


 

  
    

    
  







 
   
 
   





 
   
 
   









 
 






   
   
   
   







  



 


 








 

 

          


   


 
 









      

 

 
   
 
   

 


 
 

 

 
 

 

   
   
   
   



  




  



   
   
   
   




  


   
   
   
   




     


   

   
   
   
   







  

 
 




   
  
  
 


 

  

 




 
   
   
   
   
   
   








     









  

  

 
     
     
     
     
     
     
     
























 
 
 
  








 

 

 

 










 
 
 
 
  








 

 

 

 
























     
     
     
     
     
     














  

  









       


 
 






 
 
 






 




 
 





 
 






 
 
 


















   
   
   
   












  






        


  



 

















   
   
   
   













  









 






     
    

           
 


 
 


     
  
  
          


      





    

 



      






    

 





 
 
 






 



  
  



 



 


      


 

 
   
 
   

 

 
   
 
   



  


 
 
   
   
   
   


  


   


   
   
   
   




  


   


   
   
   
   







  

  


  

 




     
     
     
     
     
     
     






 



      

 

     
 



  
  
  












 
    
   
   
  



 
  
 
 
 




 

 

  
  
  






 

 

  
 




 

 
 
 












    

  



 

  



   



 



 




   


 



 



   



     



 



 

 







 
   
   



 





 



















 
   
   

 






  

















 

   


    
  

  

  











  





 


 
  


 



 

  

  

     


 

 
 

 
  
 
   


 
  
 
   

 
 


 
 


 

 
 


 
 


 

 

 

 




 

 




















 





 


     

     



       
 
 

















  











  

 
 

    








 
       

 




     


 
 


  

  







 











 



 


























 
 
 
  




 















 








  
  
 



 
 
 
 
  




 






















 


 









 
 
 













 






 








 
 

   



      




       
 

          
               
  

      
       
  
 
 
 
 
 
 
 
 



   
   
     
   
   
     

          














 
 










































 
   
   
 
   
   





  

   

 

 

 

 
   

 

 

 

 
   
  
   
 


  

 


  

    

 

 

    

 

    












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[Bhavikatti, s.s.] finite_element_analysis(book_zz.org)[255-274]

  • 1.                                           
  • 2.                                                                                                                                                                       
  • 3.                                                                                                                                                                                              
  • 4.                                                                                                                                                                                                                                                                                                                     
  • 5.                                                                                                                                                                                                                    
  • 6.                                                                        
  • 7.                                                                                                                                                                                              
  • 8.                                                                                                                                                                                                                      
  • 9.                                                                                                                                                                                    
  • 10.                                                                                                                                                                       
  • 11.                                                                                                                                                                                                                                         
  • 12.                                                              
  • 13.                                                                                                                                                                                                                                    
  • 14.                                                                                                                                                                                                      
  • 15.                                                                                                                                         
  • 16.                                                                                                                                                                                                                                                                                         
  • 17.                                                                                    
  • 18.                                                                                                                          
  • 19.                                                                                                                               
  • 20.                                                                                                                                                                         