A continuous beam $A B C$ with span $A B=B C=12 \mathrm{~m}$ is fixed at $A$ and supported on rollers at $B$ and $C$. It carries a uniformly distributed load of $30 \mathrm{kN} / \mathrm{m}$ on the span AB and a concentrated load of 240 kN on span BC at a distance 8 m from support C . Analyse the structure using three moments theorem and draw the BMD and SFD if the support B sinks by 30 mm . Take EI $=4 \times 10^{14} \mathrm{~N}-\mathrm{mm}^{2}$ for the entire length of the beam. OR

Explanation

The three moments theorem is a method used to analyze continuous beams. It involves calculating the bending moments at the supports and the fixed end. The bending moments can be used to draw the BMD and SFD of the beam. The three moments theorem is a useful tool for analyzing continuous beams and is widely used in civil engineering.


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