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Wall and floor pressures in a grain bin, comparing Janssen's analysis with a liquid model.

Depth (m)Janssen floor pressure (kPa)Liquid model (kPa)
213.914.9
424.029.8
836.159.6
1242.089.4

What does the comparison show?

  • A.The two models agree at all depths
  • B.Janssen predicts higher pressures than the liquid model
  • C.Floor pressure rises linearly with depth
  • D.Floor pressure approaches a limit with depth

Answer: D

By twelve metres the liquid model predicts more than twice the true floor pressure, because it ignores the weight the walls are carrying. Designing on the liquid assumption would oversize the floor and undersize the walls.

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