Using three moment theorem. Determine the support moments and reactio…

Question

Using three moment theorem. Determine the support moments and reactions at supports for the continuous beam show in Fig. 4, if the supports B and C sink by 3 mm and 5 mm resp.

Take $I_{ab} = I_{cd} = 2 \times 10^7\text{ mm}^4$, $I_{bc} = 4 \times 10^7\text{ mm}^4$ and E=$150\text{ kN/mm}^2$.