Material Pressures on Inclined Surfaces

Posted in: , on 20. Feb. 2009 - 18:47

Hi, Lyn, and fellow BOPers (or is it Bulk-Online Portalers? ),

We are helping a client who's designing a large concrete silo for clinker, but the containing walls of this silo are not vertical. The cross section of the silo is approximately 3/4ths of a circle, making the silo also the majority of a sphere.

The usual formulas to calculate material pressures and material friction on the silo walls apply to vertical walls. Do you know of any references we can use to estimate the bulk material normal pressures and shearing friction that he should consider on the inclined walls of this silo?

Thanks in advance!

Pancho

"Bulkoholics"

Posted on 20. Feb. 2009 - 06:13

Pancho,

it actually is "Bulkoholics", a term coined and legally registered by Professor Dr. Fritz Rademacher of Delft Univertsity, The Netherlands in the 1970s (?).

We acquired the right to use this expression from him.

See also:

http://www.google.com/search?client=...UTF-8&oe=UTF-8

Regards,

Reinhard H. Wöhlbier

Re: Material Pressures On Inclined Surfaces

Posted on 20. Feb. 2009 - 06:23
Quote Originally Posted by AuthorView Post
it actually is "Bulkoholics"

Thanks! I like that.

Silo Etc

Posted on 22. Feb. 2009 - 11:27
Quote Originally Posted by PanchoView Post
Hi, Lyn, and fellow BOPers (or is it Bulk-Online Portalers? ),

We are helping a client who's designing a large concrete silo for clinker, but the containing walls of this silo are not vertical. The cross section of the silo is approximately 3/4ths of a circle, making the silo also the majority of a sphere.

The usual formulas to calculate material pressures and material friction on the silo walls apply to vertical walls. Do you know of any references we can use to estimate the bulk material normal pressures and shearing friction that he should consider on the inclined walls of this silo?

Thanks in advance!

Pancho

The formula for a cone stock pile-as that is essentially what he will be stuck with as it is not contained; it is not really a silo but an embankment.

Re: Material Pressures On Inclined Surfaces

Posted on 23. Feb. 2009 - 04:24

lzaharis, thanks for your insight, but I'm not sure I understand it.

The material will indeed be contained.

Imagine that you have a container in the shape of a complete hollow sphere to be filled. Of course, such a container would contain the material and endure pressures in its wall. This is almost exactly our case, except that the sphere is not complete. The sphere's meridian (latitude), hits the floor at 135° from the apex, or 45° below the equator. (as I said, the section is three quarters of a circle).

In other words, if, on a cross section of the sphere you measure an angle from the vertical-up (theta = 0°), to the equator (theta = 90°), and towards the bottom, the container wall only reaches to (theta = 135°).

If you fill such container with clinker, you will get pressures and shears on the wall from theta=135° up to approximately theta= 76°, since from theta=76° to zero, the slope of the cone is equal to the slope of the chord of the circle (assuming an angle of repose of 38°), and the material does not touch the wall, as you say. But only in that region.

My question is: how are the pressures on the wall in the region between 76° and 135° calculated?