Module 5 : Force Method - Introduction and applications
Lecture 1 : Analysis of Statically Indeterminate Beams
 

Since in the actual beam the deflection of the point B is zero which implies that the deviation of point B from the tangent at A is zero. Thus,

 
                                             
   or                                     
                                         
 

Taking moment about A , the moment at A is given by

 

                                                

  The vertical rection at A is
                                                  
 

The bending moment diagram of the beam is shown in Figure 5.2(e).

 
                                             
 

(b) Conjugate beam method

 

The corresponding conjugate beam of the propped cantilever beam and loading acting on it are shown in Figure 5.2(f).

                                            
 

The unknown R can be obtained by taking moment about B i.e.