How could we calculate the concrete base for any mechanical equipment?

As a Thumb rule we take minimum 5 times the wait of equipment.

3 to 5 X equipment weight (ton) = density of concrete X volume = 2.5 (ton/m3) X W*L*N

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There's quite a number of accounts to put into consideration, such as the type of mechnical equipement, it's wait and rate of vibration and the manufuctures specification, the structural Engineer's suggestion, the nature of the soils etc. Formulars for this may vary alot.