Civil Engineering Reference
In-Depth Information
where M 0
seismic moment, N
m
shear modulus of material along fault plane
3
10 10 N/m 2
A f
area of fault plane undergoing slip
15 (600)
9000 km 2
9
10 9 m 2
D
average displacement of ruptured segment of fault
2.5 m
Therefore,
M 0
A f D
(3
10 10 N/m 2 ) (9
10 9 m 2 ) (2.5 m)
6.75
10 20 N
m
Using Eq. (2.4) gives
M w 6.0 0.67 log M 0 6.0 0.67 log (6.75 10 20 ) 8.0
2.6 Half Moon Bay is located on the California coast, about 40 km due south of San
Francisco. Based on Fig. 2.20, it should expect a modified Mercalli level of damage of IX,
which corresponds to heavy damage. Per Table 2.3, at a level of IX, well-designed frame
structures are thrown out of plumb.
CHAPTER 5
5.1 N value 8 9 17. Assume E m 0.6, C b 1.0, and C r 1.0. From Eq. (5.1),
N 60 17. Per Table 5.2, the sand has a medium density.
5.2
v 0 v u t (1.5) b (1.5) 18.9 (1.5) 9.84 (1.5) 43 kPa
N 60 1.67 E m C b C r N Eq. (5.1)
where E m 0.45 (doughnut hammer)
C b 1.0 (100-mm-diameter hole)
C r 0.75
(3-m length of drill rods)
N 4 5 9 ( N value)
Substituting these values into the equation gives
N 60 1.67 (0.45) (1.0) (0.75) (9) 5.1
5.3 From Prob. 5.2, the N value corrected for field testing procedures is N 60 5.1.
Using Eq. (5.2) with v 0 43 kPa and N 60 5.1, then ( N 1 ) 60 7.8. Per Table 5.3, for ( N 1 ) 60
7.8, the sand has a medium density
5.4 Use q c
40 kg/cm 2 and
v 0
43 kPa (Prob. 5.2). Therefore,
1.8 q c
1.8 (40)
____________
___________
59 kg/cm 2
q c 1
100
0.8 43 100
v 0
0.8
5.5
In Fig. 5.12, using N 60
5 and
v 0
43 kPa, we get
30°.
5.6
In Fig. 5.14, using q c
40 kg/cm 2 and
v 0
43 kPa, we get
40°.
CHAPTER 6
6.1 Soil type no. 4: Assuming this soil is in a loose state and below the groundwater
table, this soil would be the most susceptible to liquefaction. As indicated in Sec. 6.3, the
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