The foundation can withstand a pressure of 20 kPa. Is it possible to put a machine

| July 24, 2021 | education

The foundation can withstand a pressure of 20 kPa. Is it possible to put a machine on it if its weight is 300 kg and the area of one of the four supports is 50 cm2.

Rf = 20 kPa = 20 * 10 ^ 3 Pa.

m = 300 kg.

g = 9.8 m / s2.

S1 = 50 cm2 = 0.005 m2.

N = 4.

P -?

The pressure of the force P is the ratio of the force F to the area S on which this force acts: P = F / S.

The table presses on the foundation with its weight F, the value of which is determined by the formula: F = m * g.

Since the machine has N legs, the area S, over which the machine’s weight is distributed, is expressed by the formula: S = N * S1.

P = m * g / N * S1.

P = 300 kg * 9.8 m / s2 / 4 * 0.005 m2 = 147000 Pa = 147 kPa.

We see that the pressure of the machine will be more than the allowable possible: P> Pf, so the machine cannot be placed on the foundation. To put the machine on the foundation, it is necessary to increase the area of ​​the legs.

Answer: The machine must not be placed on the foundation.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.