Calculate the maximum tensile stress in the beam and indicate where it occurs

Question

A beam of rectangular cross-section 50mm wide and 100mm deep is simply supported over a span of 1500mm. It carries a concentrated load of 50kN, 500mm from the left support. Calculate –

(i)     the maximum tensile stress in the beam and indicate where it occurs;

(ii)    the vertical deflection of the beam at a point 500 mm from the right support. E for the material of the beam = 2×10⁵ MPa.