AMETEK Brookfield Page 58
Manual No. M09-1200-F1016
D
epth of v
essel in diamet
ers Z
Major Principal Consolidation Stress
σ
1
Hydrostatic pressure increase
(pgh)
wall friction = 0 deg
wall friction = 20 deg
wall friction = 40 deg
0
0.5
1
1.5
2
2.5
3
3.5
4
Figure A-6: Stress distributions in vertical walled vessels
Software can be used to estimate pressures in a container based on measurements of the bulk
density
ρ
, wall friction
ϕ
w
, internal friction
δ
j
and container diameter D. The principal consolidation
pressure
σ
1
at depth Z is given by the following equation. This equation is used for Rat-hole
calculation.
σ
1
=
ρ
· g · D
4 ·
λ
· tan
ϕ
W
·
(
1 – e 4 ·
λ
· tan
ϕ
w
·
Z
)
D
We assume:
λ
= 0.4
This applies only to the vertical section of the bin or silo. “Kick-pressure” has an effect when
the powder gets into the hopper section.
The wall friction angle represents the angle to which a wall surface must be inclined as shown
in Figure A-7 to cause powder to slip. The wall friction angle is typically in the range of 10 to
45 degrees.
The wall friction angle is also called the chute angle.
Powder slip
w
Figure A-7: Wall friction
0
20
40