Two plates, subjected to direct tension, each of $$10$$ $$mm$$ thickness and having widths of $$100$$ $$mm$$ and $$175$$ $$mm,$$ respectively are to be fillet welded with an overlap of $$200$$ $$mm.$$ Given that the permissible weld stress is $$110$$ $$MPa$$ and the permissible stress in steel is $$150$$ $$MPa,$$ then length of the weld required using the maximum permissible weld size as per $$IS:$$ $$800$$ -$$1984$$ is

The number of independent elastic constants for a linear elastic isotropic and homogeneous material is

The major and minor principal stresses at a point are $$3MPa$$ and $$-3MPa$$ respectively. The maximum shear stress at the point is

Two people weighing W each are sitting on a plank of length $$L$$ floating on water at $$L/4$$ from either end. Neglecting the weight of the plank, the bending moment at the center of the plank is