Fig The maximum stress in the brass bar occurs at junction BB, and this stress is caused by the combined effect of 45kN load together with the weight of brass bar.
Weight of brass bar, Wb = ρbgVh = 9000 × 9.81 × (6 × 50 × 10–4) = 2648.7 N
Stress at section BB, σb = (P + Wb)/Ab
= (45000 + 4648.7)/50 × 10–4 = 9529740 N/m2 = 9.53 MN/m2
The maximum stress in the steel bar occurs at section A–A. Here the entire weight of steel and brass bars and 45kN load gives rise to normal stress.
Weight of steel bar, WS = psgVs =7750 × 9.81 × (10 × 65 × 10–4) = 4941.79 N
Stress at section AA ; σs = (P + Wh + Ws )/As
= (45000 + 2648.7 + 4941.79)/ 65 × 10–4
= 8090845 = 8.09 MN/m2.