For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of $A C$ is given by $\frac{\alpha M_0}{8 E I}$. The value of $\alpha$ is _________ (rounded off to the nearest integer).

Consider the frame shown in the figure under the loading of $100 \mathrm{kN} . \mathrm{m}$ couples at the joints B and G. Considering only the effects of flexural deformations, which of the following statements is/are true:

In the rigid-jointed frame shown in the figure, the distribution factor of the member $A D$ is closest to

Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load $P$ at the end $A$, as shown in the figure. The axial rigidities of $B D$ and $C E$ are 22500 kN and 15000 kN , respectively. If CE elongates by 5 mm due to the load P , the magnitude of the downward deflection (in mm ) of the end $A$ would be _________ (rounded off to the nearest integer).