Example for Trusses, Beams, Frames and Arches (Part - 2) Civil Engineering (CE) Notes | EduRev

Civil Engineering (CE) : Example for Trusses, Beams, Frames and Arches (Part - 2) Civil Engineering (CE) Notes | EduRev

 Page 1


s e m a r F f o e l p m a x E
   
Example 2.5 Obtain internal force diagrams for the frame in Figure E2.5.
                               
                                                                            Figure E2.5
Solution:
FBD of the whole system:
                               
 
                                
                                                  
                                                  
                                                  
                                
                                
Take a section at a distance from A along AB :
Page 2


s e m a r F f o e l p m a x E
   
Example 2.5 Obtain internal force diagrams for the frame in Figure E2.5.
                               
                                                                            Figure E2.5
Solution:
FBD of the whole system:
                               
 
                                
                                                  
                                                  
                                                  
                                
                                
Take a section at a distance from A along AB :
               
                
              
             
These expressions for internal force are valid from point A to B , using which we can obtain the internal force
diagrams for AB . Using these we can find the internal forces at point B ( ) from which we also get the
forces applied on member BD .                                                                                        
At 
                              
                              
                              
                   
Internal forces on BD can be obtained from its free body diagram. Let us take a section at a distance  from B
along BD .
For 
                        
Page 3


s e m a r F f o e l p m a x E
   
Example 2.5 Obtain internal force diagrams for the frame in Figure E2.5.
                               
                                                                            Figure E2.5
Solution:
FBD of the whole system:
                               
 
                                
                                                  
                                                  
                                                  
                                
                                
Take a section at a distance from A along AB :
               
                
              
             
These expressions for internal force are valid from point A to B , using which we can obtain the internal force
diagrams for AB . Using these we can find the internal forces at point B ( ) from which we also get the
forces applied on member BD .                                                                                        
At 
                              
                              
                              
                   
Internal forces on BD can be obtained from its free body diagram. Let us take a section at a distance  from B
along BD .
For 
                        
                                    
                                 
                       
For 
                   
                 
                
               
Page 4


s e m a r F f o e l p m a x E
   
Example 2.5 Obtain internal force diagrams for the frame in Figure E2.5.
                               
                                                                            Figure E2.5
Solution:
FBD of the whole system:
                               
 
                                
                                                  
                                                  
                                                  
                                
                                
Take a section at a distance from A along AB :
               
                
              
             
These expressions for internal force are valid from point A to B , using which we can obtain the internal force
diagrams for AB . Using these we can find the internal forces at point B ( ) from which we also get the
forces applied on member BD .                                                                                        
At 
                              
                              
                              
                   
Internal forces on BD can be obtained from its free body diagram. Let us take a section at a distance  from B
along BD .
For 
                        
                                    
                                 
                       
For 
                   
                 
                
               
                                            
Example 2.6 Obtain internal force diagrams for the frame in Figure E2.6.
                                              
   
Page 5


s e m a r F f o e l p m a x E
   
Example 2.5 Obtain internal force diagrams for the frame in Figure E2.5.
                               
                                                                            Figure E2.5
Solution:
FBD of the whole system:
                               
 
                                
                                                  
                                                  
                                                  
                                
                                
Take a section at a distance from A along AB :
               
                
              
             
These expressions for internal force are valid from point A to B , using which we can obtain the internal force
diagrams for AB . Using these we can find the internal forces at point B ( ) from which we also get the
forces applied on member BD .                                                                                        
At 
                              
                              
                              
                   
Internal forces on BD can be obtained from its free body diagram. Let us take a section at a distance  from B
along BD .
For 
                        
                                    
                                 
                       
For 
                   
                 
                
               
                                            
Example 2.6 Obtain internal force diagrams for the frame in Figure E2.6.
                                              
   
Solution:
FBD of the whole system:
                           
From 6 static equilibrium equations:
                                                      
                                                      
                                                      
                                                      
                                                      
                                                      
For member AB :
                          
                                                       
                                                       
                                                       
                                                       
                                                       
                                                      
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