Fixed Beams:
After studying the propped cantilever you will be now able to appreciate the analysis of fixed beams. As shown in Figure 11, fixed beams have generally three redundancies, which in the case of transversely loaded beams reduce to two only, as the horizontal reactions at each end is zero. Here the reactions and fixing moment at any one of the ends may be taken as the unknown redundant reactions for which two equations of compatibility are required. The other two reactions will be then determined by the equations of static equilibrium namely ∑V ≡ 0 and ∑ M ≡ 0. Alternatively we can take the two end fixing moments MA and MB as the redundant reactions and then determine VA, VB by using the equations of statics. In the further example we shall use the second method.
