The figure shows a propped cantilever with uniform flexural rigidity EI (in N.m²) and subjected to a moment $M$ (in N.m). Consider forces and displacements in the upward direction as positive.

Find the upward reaction at the propped support B (in N) when this support settles by $(-\Delta)$, given in metres.

Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the $x-y$ plane and passing through that point. The magnitude of the maximum compressive stress on any such plane is $k \sigma_0$, where $k$ is equal to _________ (round off to one decimal place).

A steel beam supported by three parallel pin-jointed steel rods is shown in the figure. The moment of inertia of the beam is $8 \times 10^7 \mathrm{~mm}^4$. Take modulus of elasticity of steel as 210 GPa . The beam is subjected to uniformly distributed load of $6.25 \mathrm{kN} / \mathrm{m}$, including its self-weight.

The axial force (in kN ) in the centre rod CD is___________ (round off to one decimal place).

Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the truss. Identify the CORRECT influence line from the following options:

Note: Positive value corresponds to tension and negative value corresponds to compression in the member.