Rectangular uniform surface loading on semi-infinite area
Rectangular uniform surface loading on semi-infinite area
(OP)
I am doing an elastic stress analysis for a rectangular uniform surface loading on semi-infinite area. The formulus are on P54 of "Elastic Solution for Soil and Rock Mechanics" by H. G. Poulos and E. H. Davis (1973). The normal stresses of Eqns 3.18a~c are not dependent on Poisson's Ratio (They are only the function of pressure p and geometry). However, the normal stresses of Eqns 3.19b~c become dependent on Poisson's Ratio. Why? Which should we use? Thank you very much.





RE: Rectangular uniform surface loading on semi-infinite area
I'd like to help, but it's practically impossible to get a copy of that book nowadays. (I knew I should have photocopied it when a previous employer had a copy in their library...)
Jeff
Jeffrey T. Donville, PE
TTL Associates, Inc.
www.ttlassoc.com
RE: Rectangular uniform surface loading on semi-infinite area
Giroud (1970) obviously derived an expression that would permit a deviation in the poisson ratio - the tables of page 55 would be developed accordingly. He gives no shear stresses. So his computed stresses would be the normal ones in the x-y-z directions but the maximum stresses might/would? be in an skewed axis to the normal directions.
This is one of the weak points of the Polous and Davis book - it is shy on some of the underlying principals. But, all in all, it is a great book to have in your library and I wouldn't be without it.
RE: Rectangular uniform surface loading on semi-infinite area
RE: Rectangular uniform surface loading on semi-infinite area
RE: Rectangular uniform surface loading on semi-infinite area
I thought I was, but went back and checked and you are right - the maximum value for v is .5
Sorry!
RE: Rectangular uniform surface loading on semi-infinite area