Question

A fixed beam ABC fixed at the ends A and C is loaded as shown in figure. El is constant for whole beam. The final end moment at support C is ________ kNm.

• A. 8.75
• B. 12.5
• C. 10
• D. 13.75

Answer 1

The correct option is C 10

$M_{FAB}=\frac{60}{4}=15kNm=M_{FBA}$
$M_{FBC}=\frac{-15\times 3^2}{12}=-11.25kNm$
$M_{FCB}=+11.25kNm$

$\begin{array}{ccccc}\text{Joint}& \text{Member}& \text{Stiffness}& \Sigma k& \Delta F\\ & BA& 4EI/6& & 1/3\\ B& & & \frac{12EI}{6}& \\ & BC& 4EI/3& & 2/3\end{array}$

Moment distribution method