Two elastic rods $$AB$$ and $$BC$$ are hinged at $$B$$. The joint $$A$$ is a hinged one, joint $$C$$ is over a roller and the joint $$B$$ is supported on a spring having its stiffness as $$K.$$

A load $$P$$ acts at mid-point of the rod $$BC$$. The downward deflection of joint $$B$$ is:

A cylindrical tank of radius $$'r'$$ and wall thickness $$'t'$$ has flat end closures. The tank is subjected to an internal pressure $$P.$$ The longitudinal $$\left( {{\sigma _x}} \right)$$ and the circumferential $$\left( {{\sigma _\theta }} \right)$$ stresses respectively are given by:

A rigid rod $$AB$$ of length $$L$$ is hinged at $$A$$ and is maintained in its vertical position by two springs with spring constants $$K$$ attached at end $$B.$$ The system is under stable equilibrium under the action of load $$P$$ when $$P < \,{P_{Cr}}$$. The system will be in unstable equilibrium when $$P$$ attains a value greater than

The static Indeterminacy of the structure shown below is