All members of the frame shown below have the same flexural rigidity $$EI$$ and length $$L.$$ If a moment $$M$$ is applied at joint $$B,$$ the rotation of the joint is

A cantilever beam of length $$l,$$ width $$b$$ and depth $$d$$ is loaded with a concentrated vertical load at the tip. If yielding starts at a load $$P,$$ the collapse load shall be

Pradhan Mantri Gram Sadak Yojana (PMGSY), launched in the year 2000 aims to provide rural connectivity with all weather roads. It is proposed to connect the habitations and plain areas of populations more than 500 persons by the year