Unformatted text preview: t the ground
surface (z1=0) becomes zero. (47)
(48) Therefore, the displacement and the
shear stress in the surface stratum
are: (49)
(50) The boundary conditions are
given at the interface between
the surface stratum and the
engineering bedrock.
(51)
(52)
Substituting Eq.(45) and Eq.(49)
into Eq.(51):
(53)
Putting Eq.(46) and Eq.(50) into
Eq.(52): (54)
(55)
where, (56) Eq.(53) : (53) plus Eq.(55) : (55) gives, (57)
(58) From Eq.(53): Putting Eq.(58) into the above equation, (59) The displacement US at the ground surface: = 4E o (1 + α )eiκ1H + (1 − α )e − iκ1H (60) (61) Absolute value of US/(2EO) is: US
1
abs.(
)=
2E o
cos 2 ( κ1H) + α 2 sin 2 ( κ1H)
(62) 2EO is the displacement of the
engineering bedrock, when the
surface stratum is removed
and the engineering bedrock is
in outcrop. Similarly, the displacement
at the interface is given by: (63)
Absolute value of UB/(2EO) is: (64) The ratio of US to UB is : (65) And the absolute value is: (66) Abs.(US/2EO) and Abs.(UB/2EO) The fi...
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This note was uploaded on 03/14/2014 for the course CE 5680 taught by Professor Drgrd during the Summer '14 term at Indian Institute of Technology, Chennai.
 Summer '14
 DrGRD

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