A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 x 10^{6} N/mm^{2}, the deflection of the free end, is

A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm2. If the slope at the ends is 0.005 radian and the value of E = 0.2 x 10^{6} N/mm^{2}, the depth of the joist, is

A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be