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CEEN 641 – ADVANCED SOIL MECHANICS
HOMEWORK ASSIGNMENT #30
1.
A 0.6 m wide strip foundation is to be constructed with an embedment of 0.3 m into the
ground.
The soil is characterized as having the following properties:
drained friction
angle = 36
°
, cohesion = 0 kPa, and unit weight = 18.1 kN/m
3
.
The water table is very
deep.
The total load on the foundation is 80 kN/m (where the “per meter” refers to the
dimension along the longitudinal axis of the foundation (i.e., the direction “inandout of
the page”)).
Determine the factor of safety against bearing capacity failure based on the
tradition bearing capacity formula with bearing capacity factors shown below.
(Don’t
forget to convert the applied load to a pressure when calculating the factor of safety).
γ
N
B
N
D
N
c
q
q
f
c
ult
⋅
⋅
⋅
+
⋅
⋅
+
⋅
=
2
1
where:
)
2
/
45
(
tan
2
)
tan
(
φ
π
+
×
=
e
N
q
)
cot(
)
1
(
×
−
=
q
c
N
N
)
4
.
1
tan(
)
1
(
×
×
−
=
q
N
N
Comment on whether or not the factor of safety is typically acceptable.
2.
Perform a limited probabilistic bearing capacity analysis using a Monte Carlo simulation
for the scenario presented in the previous problem.
Assume that the values provided
previously are mean values, and that standard deviation for the applied load is 15 kN/m
and that the coefficient of variation for the friction angle is 12%. Assume that both
applied load and friction angle are normally distributed, independent variables and that
the other parameters are constant.
For the purposes of this assignment, use 5,000 random
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This note was uploaded on 03/26/2012 for the course CEEN 641 taught by Professor Travisgerber during the Fall '10 term at BYU.
 Fall '10
 TravisGerber

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