A cantilever beam has the square cross section of 10 mm $$ \times $$ 10 mm. It carries a transverse load of 10 N. Considering only the bottom fibres of the beam, the correct representation of the longitudinal variation of the bending stress is

A mass less beam has a loading pattern as shown in figure. The beam is rectangular cross-section with a width of 30 mm and height of 100 mm.

The maximum bending moment occurs at

A tapered cantilever beam of constant thickness is loaded as shown in the sketch below. The bending stress will be:

A 6 metre long supported wooden beam of rectangular section 10 cm $$ \times $$ 20 cm deep is strengthened by mild steel plates 0.5 cm $$ \times $$ 10 cm wide at the top and bottom fibre over the entire length. Find the minimum supportable uniformly distributed load considering failures in steel and wood due to flexure. Weakening of wood due to screws and weakening of the steel plates due to drilled holes may be ignored.
Permissible tensile stress for steel = 156.8 N/mm²
Permissible tensile stress for steel = 14.89 N/mm²
Young's modulus of mild steel = 1.96 $$ \times $$ 10⁵ N/mm²
Young's modulus of wood = 0.117 $$ \times $$ 10⁵ N/mm²