A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$w$$ per unit length. The beam has constant flexural rigidity.

The bending moment at the middle support is

Vertical reaction developed at $$B$$ in the frame below due to the applied load of $$100$$ $$kN$$ (with $$150,000$$ $$m{m^2}$$ cross- sectional area and $$3.125 \times {10^9}$$ $$m{m^4}$$ moment of inertia for both members) is

Carry-over factor $${C_{AB}}$$ for the beam shown in the figure below is

All members of the frame shown below have the same flexural rigidity $$EI$$ and length $$L.$$ If a moment $$M$$ is applied at joint $$B,$$ the rotation of the joint is