




































Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
solution manual to soil dynamics
Typology: Study Guides, Projects, Research
1 / 44
This page cannot be seen from the preview
Don't miss anything!
On special offer
2.3 Refer to Problem 2.2, What would be the static deflection zs of this foundation?
2.4 Refer to Example 2.3. For this foundation let time t = 0, z = z 0 = 0. z 0 = u0 = 0.
a. Determine the natural period T of the foundation.
response for time t =0 to t = 2 T.
response for t = 0 to 2 T.
2.6 A foundation of mass m is supported by two springs attached in parallel (Figure
given k1 =100 N/mm, k2 = 200 N/mm, k3 = 150 N/mm, k4 = 100 N/mm , k5 = 150
N/mm, and m = 100 kg.
0
50
100
150
0 0.05 0.1 0.15 0.2 0.
dynamic force (KN)
Time , t(s)
total dynamic force on the subgrade
2.8 Refer to Problem 2.7. If a sinusoidally varying force Q = 50 sin w t (N) is applied to
to a forced vibration. The vibrating force is expressed as Q = Q0 sinw t
Q0 = 6.7 kN w = 3100 rad/min
a. Critical damping coefficient cc.
-0.
-0.
0
1
0 2 4 6 8 10 12 14 16
U
(at depth z)/U (at z=0)
,
W(at depth z)/W (at z=0)
z
Variation of the amplitude of Rayleigh waves
Horizontal Component
Vertical Component
4.6 Repeat Problem 4.4 with the
following results. Also determine the
thickness of the second layer of soil
encountered.
y = 0.0042x - 5E- 05
y = 0.0004x + 0.
y = 0.0009x + 0.
0
0 20 40 60 80 100 120 140
Time (s)
Distance (m)
4.8 Refer to Figure 4.43 for the results of the following refraction survey: Determine: a. the P - wave
y = 0.0032x + 0.
y = 0.0012x + 0.
0
0 20 40 60 80 100 120
Time (s)
Distance (m) , From Point A to Pont E
y = 0.0033x + 0.
y = 0.0003x + 0.
0
120 100 80 60 40 20 0
Time (s)
Distance (m) , From Point E to Point A
n x f L vr
4.12 A 20-m-thick sand layer in the field is underlain by rock.
The groundwater table is located at a depth of 5 m measured
from the ground surface. Determine the maximum shear
modulus of this sand at a depth of 10 m below the ground
surface. Given: void ratio = 0.6, specific gravity of soil solids =
2.68, angle of friction of sand = 36°. Assume the sand to be
round-grained.
0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0 400.
L (m)
Velocity , vr , (m/s)
4.14 A remolded clay specimen was consolidated by a hydrostatic pressure of 205 kPa. The specimen
was then allowed to swell under a hydrostatic pressure of 105 kPa. The void ratio at the end of
swelling was 0.8. If this clay is subjected to a torsional vibration in a resonant column test, what
would be its maximum shear modulus ( G max)? These liquid and plastic limits of the clay are 58 and
28, respectively.
( )
4.16 Repeat Problem 4.15 given
H 1 = H 2 = H 3 = 6 m Gs (1) = Gs (2) = 2.
e 1 = 0.88 φ1 = 28°
e 2 = 0.68 φ 2 = 32°
PI of clay = 20
Estimate and plot the variation of the maximum shear
modulus ( G max) with depth for the soil profile.
Calculation of Effective Unit Weights
4.18 The unit weight of a sand deposit is 16.98 kN/m 3 at a relative density of 60%. Assume that, for
percent). At a depth of 6.09 m below the ground surface, estimate its shear modulus and damping
ratio at a shear strain level of 0.01%. Use the equation proposed by Seed and Idriss (1970).
4.20 For example 4.8, determine the damping ratio of the cemented sand.
DS = damping ratio of sand alone (%)
ΔDC = increase in the damping ratio due to cementation effect =
DCS = damping ratio of cemented sand (%)