11.A simply supported beam of length 1 carries a load varying uniformly from zero at left end to maximum at right end. The maximum bending moment occurs at a distance of

12.A beam of overall length 1 with equal overhangs on both sides carries a uniformly distributed load over the entire length. To have numerically equal bending moments at centre of the beam and at supports, the distance between the supports should be

13.A beam of triangular cross section is placed with its base horizontal. The maximum shear stress intensity in the section will be

14.According to Rankine's hypothesis, the criterion of failure of a brittle material is

15.A portion of a beam between two sections is said to be in pure bending when there is