Permitted axle load of the vehicle is 10 tons. The vehicle has 5 axles. The empty vehicle weight is 22 tons. How many cubic meters of dry pine boards can be loaded onto the vehicle so that the axle load does not exceed the permissible designation?
Data: m1 (maximum mass of cargo that one axle can withstand) = 10 t = 10 * 10 ^ 3 kg; n (number of axles) = 5 pcs .; ma (empty vehicle weight) = 22 t = 22 * 10 ^ 3 kg.
Constants: ρс (average density of dry pine) = 520 kg / m3.
1) The mass of the load that 5 axles can withstand: m = n * m1 = 5 * 10 * 103 = 50 * 10 ^ 3 kg.
2) Maximum weight of dry pine boards: mc = m – ma = 50 * 10 ^ 3 – 22 * 10 ^ 3 = 28 * 10 ^ 3 kg.
3) The maximum volume of dry pine boards: V = mc / ρс = 28 * 10 ^ 3/520 = 53.8 m3 (58 m3).
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