A uniform simply supported beam is subjected to a clockwise moment at the left end. What is the moment required at the right end so that rotation of the right end is zero ?

A cylindrical bar of 20 mm diameter and 1 m length is subjected to a tensile test. Its longitudinal strain is 4 times that of its lateral strain. If the modulus of elasticity is 2 x 10^{5} N/mm^{2}, then its modulus of rigidity will be

A fill having a volume of 150, 000 cm is to be constructed at a void ratio of 0.8. The borrow pit soil has a void ratio of 1.4. The volume of soil required (in cubic metres) to be excavated from the borrow pit will be

A fixed beam as shown in Fig. I is loaded with a U.D.L. over the entire span, the total load being W; when load was just increased to W_{1}, the deformed shape as shown in Fig. II was seen. The value of W_{1} (plastic moment of resistance = M_{p}) is