Building Frames - 2 Civil Engineering (CE) Notes | EduRev

Structural Analysis

Civil Engineering (CE) : Building Frames - 2 Civil Engineering (CE) Notes | EduRev

 Page 2


 
                                                                             
                                                         
For interior beams, the point of inflexion will be slightly more than . An 
experienced engineer will use his past experience to place the points of inflexion 
appropriately. Now redundancy has reduced by two for each beam. The third 
assumption is that axial force in the beams is zero. With these three assumptions 
one could analyse this frame for vertical loads.  
L 1 . 0
 
Example 36.1  
Analyse the building frame shown in Fig. 36.5a for vertical loads using 
approximate methods.   
 
 
                                                                             
                                                         
Page 3


 
                                                                             
                                                         
For interior beams, the point of inflexion will be slightly more than . An 
experienced engineer will use his past experience to place the points of inflexion 
appropriately. Now redundancy has reduced by two for each beam. The third 
assumption is that axial force in the beams is zero. With these three assumptions 
one could analyse this frame for vertical loads.  
L 1 . 0
 
Example 36.1  
Analyse the building frame shown in Fig. 36.5a for vertical loads using 
approximate methods.   
 
 
                                                                             
                                                         
 
 
Solution:  
In this case the inflexion points are assumed to occur in the beam at  
from columns as shown in Fig. 36.5b. The calculation of beam moments is 
shown in Fig. 36.5c.  
() m L 6 . 0 1 . 0 =
 
                                                                             
                                                         
Page 4


 
                                                                             
                                                         
For interior beams, the point of inflexion will be slightly more than . An 
experienced engineer will use his past experience to place the points of inflexion 
appropriately. Now redundancy has reduced by two for each beam. The third 
assumption is that axial force in the beams is zero. With these three assumptions 
one could analyse this frame for vertical loads.  
L 1 . 0
 
Example 36.1  
Analyse the building frame shown in Fig. 36.5a for vertical loads using 
approximate methods.   
 
 
                                                                             
                                                         
 
 
Solution:  
In this case the inflexion points are assumed to occur in the beam at  
from columns as shown in Fig. 36.5b. The calculation of beam moments is 
shown in Fig. 36.5c.  
() m L 6 . 0 1 . 0 =
 
                                                                             
                                                         
 
                                                                             
                                                         
Page 5


 
                                                                             
                                                         
For interior beams, the point of inflexion will be slightly more than . An 
experienced engineer will use his past experience to place the points of inflexion 
appropriately. Now redundancy has reduced by two for each beam. The third 
assumption is that axial force in the beams is zero. With these three assumptions 
one could analyse this frame for vertical loads.  
L 1 . 0
 
Example 36.1  
Analyse the building frame shown in Fig. 36.5a for vertical loads using 
approximate methods.   
 
 
                                                                             
                                                         
 
 
Solution:  
In this case the inflexion points are assumed to occur in the beam at  
from columns as shown in Fig. 36.5b. The calculation of beam moments is 
shown in Fig. 36.5c.  
() m L 6 . 0 1 . 0 =
 
                                                                             
                                                         
 
                                                                             
                                                         
Now the beam moment is divided equally between lower column and upper 
column. It is observed that the middle column is not subjected to any moment, as 
the moment from the right and the moment from the left column balance each 
other. The moment in the beam 
ve -
ve - BE is . Hence this moment is 
divided between column and
kN.m 1 . 8
BC BA. Hence, kN.m 05 . 4
2
1 . 8
= = =
BA BC
M M . The 
maximum  moment in beam ve + BE is . The columns do carry axial 
loads. The axial compressive loads in the columns can be easily computed. This 
is shown in Fig. 36.5d. 
kN.m 4 . 14
 
 
36.3 Analysis of Building Frames to lateral (horizontal) Loads 
A building frame may be subjected to wind and earthquake loads during its life 
time. Thus, the building frames must be designed to withstand lateral loads. A 
two-storey two-bay multistory frame subjected to lateral loads is shown in Fig. 
36.6. The actual deflected shape (as obtained by exact methods) of the frame is 
also shown in the figure by dotted lines. The given frame is statically 
indeterminate to degree 12.  
 
 
 
                                                                             
                                                         
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