Yes, there's a paper "Evaluation of Coefficients of Subgrade Reaction" by Karl Terzaghi. I'm also looking for it but it seems that it's not available on the Internet. Does anyone has these presumptive values for different soil types? I'd appreciate if someone could scan it and send it using my private e-mail address email@example.com
Modulus of subgrade reaction empirical determination based on plate bearing tests is discussed in the 1955 Terzaghi paper. Terzaghi K, Evaluation of Coefficient of Subgrade Reaction, Geotechnique Vol.5, No.4, 1955
The topic is covered quite well in Joseph E. Bowles' book 'Foundation Analysis and Design' 5th Edition 1996 section 9.6 pp 501-506.
Bowles gives Vesic formula relating modulus of subgrade reaction to the elastic modulus and Poisson's ratio.
Bowles suggests approximate modulus based on: 40 times ULTIMATE bearing capacity in kPa/m (kilopascal per square metre per metre) or 12 times ultimate bearing capacity in k/ft3 (thousand pounds per square foot per foot). Where ultimate b.c. is allowable b.c. 'furnished by the geotechnical consultant' (sic) times the safety factor (possibly also furnished by the geotechnical consultant?).
Bowles gives formulae for estimating the modulus of subgrade reaction using the Terzaghi or Hansen bearing capacity factors.
Bowles gives some typical ranges of the modulus in kPa/m (that's kilopascal per metre) for soils but only AS A VERY ROUGH GUIDE loose sand 4800-16000 medium dense sand 9600-80000 dense sand 64000-128000 clayey medium dense sand 32000-80000 silty medium dense sand 24000-48000 clayey soil (allowable bearing capacity 200 kPa or less) 12000-24000 clayey soil (a.b.c 200 kPa to 800 kPa) 24000 - 48000 clayey soil (a.b.c greater than 800 kPa) more than 48000 (Bowles specifically warns you NOT to pick a middle value in these ranges and provides the table as a check on your calculated value using one of the approximations he gives)
see also US Navy design manual published by NAVFAC (Naval Facilities Engineering Command) NAVFAC DM 7.01, Soil Mechanics, 1 September 1986 available free as Adobe Acrobat file DM7_01.PDF which may be downloaded from http://www.efdlant.navfac.navy.mil/lantops_15/ documents/design_manuals.htm
....Chapter 5 Figure 6 provides a correlation between relative density and modulus of subgrade reaction for cohesionless soils
see also NAVFAC DM 5.4, Civil Engineering Pavements, October 1979 1986 available free as Adobe Acrobat file DM5_4.PDF which may be downloaded from http://www.efdlant.navfac.navy.mil/lantops_15/documents/design_manuals.htm .....Figure 3 provides an approximate relationship between modulus of subgrade reaction and California Bearing Ratio ....Table 2 is supposed to provide approximate values of modulus of subgrade reaction for various soils however this table is NOT in the downloaded PDF file because it is a fold-out page.(maybe it's too big for their scanner). In this document the advice is not to use estimated values of subgradereaction modulus more than 300 (pounds per square inch per inch) unless substantiated by in-situ plate bearing tests and not to use values more than 500 (pounds per square inch per inch) regardless of test results.
Dear sir My name is Maryam Akbarzad and I am doing an MS in Geotechnical Engineering at the University of Tabriz. My subject of thesis is Investigaion about equations and the methods of estimation of the coefficient of subgrade reaction and analysis of the sensitivity of it in design of foundations and retaining walls. that would be very kind of you to provide me with any more lectures, books and etc. best regards Akbarzad
University of Tabriz - IRAN Faculty of Civil Engineering - Department of Geotechnical Engineering Maryam Akbarzad