Leonardo's Bronze Statue Pedestal · CAP 2000 #B3

Physics · mechanics

Problem

Leonardo da Vinci was commissioned by the Duke of Milan to construct a Bronze statue as a tribute to his late father. The proposed size was to be twenty three feet tall and weigh 80 tons (73,000 kg). For this task Leonardo had to develop new casting methods to construct this massive statue. By 1499 the French invaded Milan and he had only completed a 22-foot clay model which was used by the French soldiers for target practice. The project was never completed. Heavy statues need to be placed upon very strong concrete pedestals. The compressive strength of high strength concrete ranges from 10 - 70 N/mm². Let's take a typical high-strength concrete with a compressive strength of s=50s = 50 N/mm² and a density of ρ=1250\rho = 1250 kg/m³. This concrete will crumble if a pressure of greater than this is applied. (a) Suppose Leonardo's statue (a horse with four feet touching

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