Tapered beams are used in a variety of applications to save both weight and cost. indeed, we see them in bridges, churches and tree branches. despite their weight savings, the weight of the beam must be consider when designing the structure lest it will fail. consider the illustrated tapered wood beam of length l = 6 m, thickness (into the screen) t = 20 cm, and big and small end heights h b i g = 100 cm and h s m a l l = 50 cm. knowing that the mass density of wood is rho = 700 kg/m 3 , determine the resultant force f r in n and resultant moment m r in nm about the base, i. e. big end, due to the weight of the beam.