A W250 $\times$ 32.7 structural steel [E = 200 GPa] wideflange shape is loaded and supported as shown. A uniformly distributed load of w = 24 kN/m is applied to the beam, causing the roller support at B to settle downward (i.e., displace downward) by 16 mm. Determine:
(a) the reactions at supports A, B, and C.
(b) the maximum bending stress $\sigma_{max}$ in the beam.
Assume $L_{AB}$ = 3 m, $L_{BC}$ = 5.7 m.
Answers:
(a) A = kN, B = kN, C = kN.
(b) $\sigma_{max}$ = MPa.