A permeable soil layer is underlain by an impervious layer, as shown in Fig. 1. With k = 5.3x10- m/sec for the Q. 1. G perneable layer, calculate the rate of seepage through it in m'/hr/a width if H - 3 = and a - 8". epeni l Pmiel N rate in n'sec/n Find 2.

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9:51 AM O O
Ve
E talll 66
Tutorial-2.pdf
Department of Civil Engineering
Jamia Millia Islamia
New Delhi
CE-505: Soil Mechanics
Tutorial-2
By
Prof. S. M. Abbas
A permeable soil layer is
underlain by an impervious
layer, as shown in Fig. 1.
Q. 1. A
Grndwatle feme sarlare
With k = 5.3x10- m/sec for the
permeable
the rate of seepage through it
in m'/hr/m width if H - 3 =
layer, calculate
of pge
and a - 8".
Ompenie layer emeable layer
Q. 2.
Find the flow rate in m'/sec/m
length (at right angles to the
cross section shown) through
the permeable soil layer shown in
Fig. 2 given H- 8 m, Hị- 3 m, h -
4 m, L- 50 m, a - 8", and k - 0.08
cm/sec.
Fig. 1
Q. 3.
Refer to Fig. 3. For a constant-
head permeability test in a sand,
the following are given: L-300mn,
A-175cm, h=-500mm, Water collected
in 3 min - €20 cm, void ratio of
sand -
0.58. (a).
Determine
Fig. 2
Hydraulic conductivity, k (cm/sec),
(b). Seepage velocity.
lpervi lew e
Q. 4. For a
falling-head permeability
given:
test, the following are
test,
length of specimen - 380 mm; area of
specimen = 6.5 cm; k = 0.175 cm/min.
What should be the area of the
standpipe for the head to drop from
650 cm to 300 cm in 8 min?
Q. 5.
For a
test, following are given:
Length of soil specimen- 700 zm,
Area of the soil specimen - 20 cm,
Area of the standpipe - 1.05 cm,
Head difference at time t -0 is 800
mm, Head difference at time E- 8
min is 500 mm.
falling-head permeability
the
Fig. 3
(a) Determine the absolute permeability of the soi1.
(b) What is the head difference at time t = 6 min?
Assume that the test was conducted at 20°c, and at 20°c, - 9.789
kN/m and n - 1.005x10 N-s/m.
A sand layer of the cross-sectional area shown in Fig. 4 has been
determined to exist for a 800m length of the 1evee. The hydraulic
conductivity of the sand layer is 2.8 m/day. Determine the quantity
of water which flows into the ditch in m'/min.
Q. 6.
Prof. S. M. Abbas, JMI, New Delhi, India
Q. 7.
A layered soil is shown in
Fig. 5. Given that H-1.5m,
E
k-10
H3=2.Sm, Hj=3. 0m,
cm/sec, k-3.0x10-3 cm/sec,
k:-3.5x10 cm/sec.
Lever
ratio
of
equivalent hydraulic cond-
uctivities, Kulg / Kyeg-
Estimate
the
Fig. 4
Opan Sad
A layered a nte the ratio of
soil is ahown in
Q.8.
6. Estimate
equivalent hydraulic oonductivities,
kaeg /kvi
15m
Transcribed Image Text:9:51 AM O O Ve E talll 66 Tutorial-2.pdf Department of Civil Engineering Jamia Millia Islamia New Delhi CE-505: Soil Mechanics Tutorial-2 By Prof. S. M. Abbas A permeable soil layer is underlain by an impervious layer, as shown in Fig. 1. Q. 1. A Grndwatle feme sarlare With k = 5.3x10- m/sec for the permeable the rate of seepage through it in m'/hr/m width if H - 3 = layer, calculate of pge and a - 8". Ompenie layer emeable layer Q. 2. Find the flow rate in m'/sec/m length (at right angles to the cross section shown) through the permeable soil layer shown in Fig. 2 given H- 8 m, Hị- 3 m, h - 4 m, L- 50 m, a - 8", and k - 0.08 cm/sec. Fig. 1 Q. 3. Refer to Fig. 3. For a constant- head permeability test in a sand, the following are given: L-300mn, A-175cm, h=-500mm, Water collected in 3 min - €20 cm, void ratio of sand - 0.58. (a). Determine Fig. 2 Hydraulic conductivity, k (cm/sec), (b). Seepage velocity. lpervi lew e Q. 4. For a falling-head permeability given: test, the following are test, length of specimen - 380 mm; area of specimen = 6.5 cm; k = 0.175 cm/min. What should be the area of the standpipe for the head to drop from 650 cm to 300 cm in 8 min? Q. 5. For a test, following are given: Length of soil specimen- 700 zm, Area of the soil specimen - 20 cm, Area of the standpipe - 1.05 cm, Head difference at time t -0 is 800 mm, Head difference at time E- 8 min is 500 mm. falling-head permeability the Fig. 3 (a) Determine the absolute permeability of the soi1. (b) What is the head difference at time t = 6 min? Assume that the test was conducted at 20°c, and at 20°c, - 9.789 kN/m and n - 1.005x10 N-s/m. A sand layer of the cross-sectional area shown in Fig. 4 has been determined to exist for a 800m length of the 1evee. The hydraulic conductivity of the sand layer is 2.8 m/day. Determine the quantity of water which flows into the ditch in m'/min. Q. 6. Prof. S. M. Abbas, JMI, New Delhi, India Q. 7. A layered soil is shown in Fig. 5. Given that H-1.5m, E k-10 H3=2.Sm, Hj=3. 0m, cm/sec, k-3.0x10-3 cm/sec, k:-3.5x10 cm/sec. Lever ratio of equivalent hydraulic cond- uctivities, Kulg / Kyeg- Estimate the Fig. 4 Opan Sad A layered a nte the ratio of soil is ahown in Q.8. 6. Estimate equivalent hydraulic oonductivities, kaeg /kvi 15m
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