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8/18/2019 Tutorial Chap 2 Complete Version
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WORK OOK
hallow foundations
©drknmy2013
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Define the following terms:
(a) Foundation;
(b) Base of the foundation;
(c) Embedment depth;
(d) Shallow foundation;(e) Ultimate bearing
capacity;
(f) Allowable bearing
capacity;
(g) Factor of safety.
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What are the ultimate net
bearing capacity and the
allowable bearing capacity
of shallow footings? and
How do I determine theallowablebearing capacity
for shallow footings?
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What are the assumptions
made in bearing capacity
analyses?
What soil parametersare
needed to calculate itsbearing capacity?
What effects do
groundwater and eccentric
loads have on bearing
capacity?
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What are the assumptions
made in the derivation of
Terzhagi’s bearing
capacity theory?
Write the equation for theultimate bearing capacity
in local shear is
determined?
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Differentiate between the
general shearfailure and
the local shear failure. How
the ultimate bearing
capacity in local shear isdetermined?
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Discuss the effect of water
table on the bearing
capacity of thesoil.
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Discuss Meyerhof’s
bearing capacity theory.
How does it differ from
Terzhagi’s theory.
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To obtain a higher bearing
capacity, either width of
the footing could be
increased or the depth of
foundation can beincreased. Discuss
critically the relative merits
and demerits.
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Discuss the various factors
that affect the bearing
capacity of a shallow
footing. Write brief critical
notes on settlement of foundations. How do you
ascertain whether a
foundation soil is likely to
fail in local shear or in
general shear?
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Discuss the various types
of foundations and their
selection with respect to
differentsituations.
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Discuss the effect of
shape on the bearing
capacity. Differentiate
between safe bearing
capacity and allowable soilpressure.
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Bring out clearly the effect
of ground water table on
the safe bearing capacity.
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Describe the procedure of
determining the safe
bearing capacity based on
the standard penetration
test.
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Explain the recommended
constructionpractices to
avoid detrimental
differential settlement in
large structures.
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What is meant by bearing
capacity of soil? How will
you determine it in the
field? Describe the
procedure bringing out itslimitations.
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Write brief critical notes
on:
(i) Standard Penetration
test
(ii) General shear failureand local shear failure of
shallow foundations.
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Give the algebraic
equations showing the
variation of safe bearing
capacity of soil (for clay
and sand to be givenseparately) inshallow
foundation with:
(i) depth of foundation; (ii)
width of foundation; and
(iii) position of water table.
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For the following cases,
determine the allowable
gross vertical load-bearing
capacity of the foundation.
Use Terzaghi’s equationand assume general shear
failure in soil. Use FS =
4.00.
Part B
(m)Df
(m) φ’
(a) 1.22 0.91 25
(b) 2 1 30
(c) 3 2 30
Part c ’(kN/m2)
γ (kN/m3)
(a) 28.75 17.29
(b) 0 17
(c) 0 16.5
Use continuous type for (a)
and (b), and square typefor (c).
(Answer: (a): 252.6 kN/m2;
(b) 176.8 kN/m2; (c) 280
kN/m2)
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A square column
foundation has to carry a
gross allowable load of
1805 kN (FS = 3.0). Given:
D f = 1.5 m, γ = 15.9kN/m3, φ’ = 34°, and c ’ =
0. Use Terzaghi’s equation
to determine the size of
the foundation (B ).
Assume general
shear failure.
(Answer:B = 2 m)
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Use the general bearing
capacity equation to solve
C1 question.
(Answer: (a): 267.6 kN/m2;
(b) 184.7 kN/m2;(c) 368.8 kN/m2)
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The applied load on a
shallow square foundation
makes an angle of with the
vertical. Given:B = 1.83
m,D f = 0.9 m,γ
= 18.08kN/m3, φ’ = 25°, and c ’ =
23.96 kN/m3. Use FS =
4.0 anddetermine the
gross allowable load. Use
Meyerhof’s method.
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A column foundation,
showed below, is in plan.
Given:B = 3 m, L = 2 m,
D f = 1.5 m,D 1 = 1 m,D 2 =
0.5 m, φ’ = 25°, and c ’ =70 kN/m3. γ 1 = 17 kN/m3,
γ 2 = 19.5 kN/m3. Use FS
= 3.0 and determine the
net allowable load the
foundation could carry.
Use Meyerhof’s method.(Answer: 5760 kN)
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For a square foundation
that isB xB in plan,
vertical gross allowable
load,Q all = 3330 kN, D f =
2 m,γ
= 16.5 kN/m3
, φ’ =30°, andc ’ = 0 kN/m3, FS
= 4.0. Determine the size
of the foundation. Use
Meyerhof’s method.
(Answer:B ≈ 3 m)
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An eccentrically loaded
foundation is shown in
figure down below. UseFS
of 4 and determine the
maximum allowable loadthat the foundation can
carry. Use Meyerhof’s
effective
area method.
(Answer: 377.8 kN)
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Repeat C7 using Prakash
and Saran’s method.
(Answer: 287.37 kN)
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Asquare footing is shown
in figure down below. Use
FS = 6 and determine the
size of the footing. Use
Prakash and Saran theory.
(Answer: q u (eccentric )=
936.47 kN/m2,Q u = 1066
kN/m)
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Determine the ultimate
bearing capacity of a
square footing of size 1.2
m if the depth of
foundation is 1 m. Takec ’= 25 kN/m2, γ = 18 kN/m3
and c = 15 kN/m2.
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A circular foundation is of
2.4 m diameter. If the
depth of foundation is 1 m,
determine the net
allowable load. Takeγ =
19 kN/m3, c' = 30kN/m2,
' = 15° and factor of
safety as 3.0. Use
Terzaghi's equation and
assume local shear failure.
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A square column
foundation has to carry a
gross allowable load of
1805 kN (FS = 3.0). Given:
D f = 1.5 m, γ = 15.9kN/m3, φ’ = 34°, and c ’ =
0. Use Terzaghi’s equation
to determine the size of
the foundation (B ).
Assume general
shear failure.
(Answer:B = 2 m)
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A square footing with a
size of 8 ft by 8 ft is to
carry a total load of 40
kips. The depth of the
footing is 5 ftbelow theground surface, and
groundwater is located at
the ground surface. The
subsoil consists of a
uniform deposit of
soft clay, the cohesion of
which is 500 lb/ft2. The
soil’s unit weight is
110 lb/ft3. Compute the
factor of safety against
bearing capacity failure.
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A square footing 0.3 m by
0.3 m is placed on the
surface of a dense
cohesionless sand (unit
weight 18.2 kN/m3
) andsubjected to a load test. If
thefooting fails at a load of
13.8 kN, what is the value
of for the sand?
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A load test is performed
on a 0.3-m by 0.3-m
square footing on a dense
cohesionlesssand (unit
weight 18.0 kN/m3
). Thefooting’s base is located
0.6 m below the ground
surface. If the footing fails
at a load of 82 kN, what is
the failure load per unit
area of the base of asquare footing 2.0 m by
2.0 mloaded with its base
at the samedepth in the
same materials?
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A square footing 2 m by 2
m is to be constructed
1.22 m below the ground
surface, as shown in
figurebelow. Thegroundwater table is
located 1.82 mbelow the
ground surface. The
subsoil consists of a
uniform, medium dense,
cohesionless soil with thefollowing properties:Unit
weight of soil = 18.53
kN/m3; φ = 32°; c = 0 kPa.
Determine the foundation
soil’s allowable bearing
capacity if a factor of
safety of 3 is used.
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A square footing is to be
constructed on a uniform
thick deposit of clay with
anunconfined
compressive strength of 3kips/ft2. The footing will be
located5 ft below the
ground surface and is
designed to carry a total
load of 300 kips. The unit
weight of the supporting
soil is 128 lb/ft3. No
groundwater was
encounteredduring soil
exploration. Considering
general shear, determine
the square footing
dimension, using a factor
of safety of 3.
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A proposed square footing
carryinga total load of 500
kips is to be constructed
on a uniform thick deposit
of dense cohesionless soil.The soil’s unitweight is
135 lb/ft3, and its angle of
internal friction is38°. The
depth of thefooting is to
be 5 ft. Determine the
dimension of this
proposed footing, using
a factor of safety of 3.
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A wall footing is to be
constructed on a uniform
deposit of stiff clay, as
shownin figure. The
footing is to support a wallthat imposes 130 kN/m of
wall length. Determine the
required width of the
footing if a factor of safety
of 3 is used.
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Compute and draw soil
pressure diagrams for the
footing shown infigure for
P = 70kips and H = 20
kips.
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Compute and draw soil
pressure diagrams for the
footing shown in figure for
P = 70 kips and H =10
kips.
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Considering general shear,
compute the safetyfactor
against a bearing capacity
failure for each of the two
loadings in Problem 9–14if the bearing soil is
cohesionless, φ = 30°; γ =
110 lb/ft3; and c = 0 kPa.
groundwater is 10 ft below
the base of the footing
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Considering general shear,
compute the safety factor
against a bearing capacity
failure for each of the two
loadings in Problem 9–14if the bearing soil is
cohesive, φ =0°; γ = 110
lb/ft3; and c =3000lb/ft2.
groundwater is 10 ft below
the base of the footing
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Considering general shear,
compute the safety factor
against a bearing capacity
failurefor each of the two
loadings in Problem 9–14if the bearing soil is
cohesive, φ = 0°; γ = 110
lb/ft3; and c = 3000 lb/ft2.
groundwater is located at
the ground surface.
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Considering general shear,
compute the safety factor
against a bearing capacity
failure for each of the two
loadings in Problem 9–14if the bearing soil is
cohesionless, φ =30°; γ =
110 lb/ft3; and c =0 lb/ft2.
groundwateris located at
the ground surface.
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For the footing shown in
figure, the vertical load,
including the column
load, surcharge weight,
and weight of the footing,is 120 kips. The horizontal
load is 10 kips, and a
moment of 50 ft-kips
(clockwise) is also
imposed on the
foundation. 1. Computethe soil contact pressure
and draw the soil contact
pressure diagram. 2.
Compute the shear on
section a–a (Figure 9–47).
3. Compute the moment
on section a–a (Figure 9–
47). 4. Compute the factor
of safety against
overturning. 5. Compute
the factor of safety against
sliding if the coefficient of
friction between the soil
and the base of the footing
is 0.60.
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Das (2011)
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