A steel column, pinned at both ends, has a buckling load of $$200$$ $$kN.$$ If the column is restrained against lateral movement at its mid-height, its buckling load will be

The influence line diagram $$(ILD)$$ shown is for the member

The right triangular truss is made of members having equal cross sectional area of $$1550$$ $$m{m^2}$$ and Young's Modulus of $$2 \times {10^5}\,\,MPa.$$

The horizontal deflection of the joint $$Q$$ is

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 reaction at the middle support is