A metallic bar of uniform cross-section with specific weight of $$100$$ kN/m³ is hung vertically down. The length and Young's modulus of the bar are $$100$$ m and $$200$$ GPa, respectively. The elongation of the bar, in mm, due to its own weight is __________ .

If the principal stress values are $$120$$ MPa, $$-50$$ MPa and $$10$$ MPa in a given state of stress, then maximum shear stress in the material, in MPa, is _______.

A beam is loaded as shown in the figure

The bending moment, in $$Nm$$, at point $$R$$ is _______.

The room-temperature stress $$\left( \sigma \right)$$ - strain $$\left( \varepsilon \right)$$ curves of four materials $$P, Q, R$$ and $$S$$ are shown in the figure below. The material that behaves as a rigid perfectly plastic material is