Geotechnical Engineering

DHARM 820 GEOTECHNICAL ENGINEERING ωn in this case is called ‘Natural Circular Frequency’ of the system. ωn = kM/ rad/s ...(Eq. ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 821 A = P M o n n ω ω ω 2 2 1 − 2 F HG I KJ ...(Eq. 20.20) But P M o ωn ...

DHARM 822 GEOTECHNICAL ENGINEERING M k c t z —— > — c 2m k m 2 Overdamped —— > — critically damped2mc mk 2 z Z 1 t 1 t 2 z ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 823 Case – 2 : Roots are equal if α ω 2 2 F 2 HG I KJ = n or c M k 2 M F ...

DHARM 824 GEOTECHNICAL ENGINEERING z z D D 1 2 2 2 1 = − F H GG I K exp JJ π ...(Eq. 20.37) ‘Logarithmic Decrement’ is defined a ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 825 where A = P M o ωαω ω ωnn (^222) +−()2 2 ...(Eq. 20.44) and φ = tan ...

DHARM 826 GEOTECHNICAL ENGINEERING To determine the conditions corresponding to maximum amplitude, Eq. 20.48 may be differentiat ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 827 e w e w w w Me 1 w^2 Me 1 w^2 M 1 M 1 (a) Rotation of unbalanced mas ...

DHARM 828 GEOTECHNICAL ENGINEERING η 2 = A M Mee D . . () = −+ ξ ξξ 2 1422 2 2 ...(Eq. 20.57) Then means that η 2 = η 1 .ξ^2 ... ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 829 The primary source of dynamic loading of soil is machinery of differ ...

DHARM 830 GEOTECHNICAL ENGINEERING for satisfactory operation of machines, as it can be furnished only by the manufacturers of t ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 831 20.3.4Methods of Analysis The following are the two broad approach t ...

DHARM 832 GEOTECHNICAL ENGINEERING Shear or S-Wave This wave induces the motion of the soil particles in a direction perpendicul ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 833 defined in a similar manner (IS: 2810-1979 “Glossary of Terms relati ...

DHARM 834 GEOTECHNICAL ENGINEERING It may be observed that the stress-deformation relationship is linear upto a point such as B. ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 835 Stress Elastic deformation Fig. 20.22 Stress vs elastic deformation ...

DHARM 836 GEOTECHNICAL ENGINEERING where Cuf = Cu-value for the machine foundation, Cup = Cu-value from the repeated plate beari ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 837 I.S. 5249-1977 “Method of Test for insitu determination of dynamic p ...

DHARM 838 GEOTECHNICAL ENGINEERING The distance between the two geophones, D 8 , is then measured. It can be proved from the the ...

DHARM ELEMENTS OF SOIL DYNAMICS AND MACHINE FOUNDATIONS 839 Table 20.3 Value of α for rectangular foundations (Barkan 1962) Aspe ...