soil mechanics_lecture_stresses
TRANSCRIPT
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: , /
:
o
o
o
o
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1. ( )
2. /
+
+
=
= = , =
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o () () :
() :
wwsat hz +=
o () 2 :
1. = ()
2.
= ()
'
u +=
o () :
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() :
:
=
= + (+)
= ( )
= =
( )zhu ww +=
, , .
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wwsat hz += ( )zhu ww += =
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+
:
=
dTcosh4
dwc
2
=
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d)(hhcsatbulk
++= du w= =
()
()
()
+++
cwhu =
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,
.
1.5 m
2.5 m
5.0 m
GS
GWT Sand
Clay
dry = 1.70 t/m3
sat = 1.85 t/m3
sat = 2.00 t/m3
Sand
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1.5 m
2.5 m
5.0 m
GS
GWT Sand
Clay
dry = 1.70 t/m3
sat = 1.85 t/m3
sat = 2.00 t/m3
1
2
3
4
v (t/m2)u (t/m2)v (t/m
2)Point
0001
2.55-0=2.5501.7x1.5=2.552
7.175-2.5=4.6751x2.5=2.52.55+1.85x2.5=7.1753
17.175-7.5=9.6751x7.5=7.57.175+2.0x5.0 =17.1754
Sand
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( )
/
+
+
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()
(/2)
a = ?
a = ?
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()
.
()
o
o
/
, (/)
= /2 (/)
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.
. .
(/2)
a = ?
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(/2)
.
(/2)
.
=
, ,
o
o
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:
o = 1 = 2.5
, :
o () 2.5/ ()
o () 2.5/ ()
= /200
a
Total number of divisions
within the chart = 200
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():
=
GSq (t/m2)
a
zElev.
qnet = q
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, ,
.
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At point (a)
(t/m2)f(r/z)r/zr (m)z (m)Load (t)Load
0.0180.01531.7211.186.550P1
0.0810.02291.54106.5150P2
0.0991a
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(t/m2)f(r/z)r/zr (m)z (m)Load (t)Load
0.0070.0062.1814.146.550P1
0.0540.01531.7211.186.5150P2
0.0611b
At point (b)
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(t/m2)f(r/z)r/zr (m)z (m)Load (t)Load
0.0180.01531.7211.186.550P1
0.0130.00382.4315.86.5150P2
0.0311c
At point (c)
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qnet = q h = 20 1.70x1.0 = 18.3 t/m2
Use Newmarks chart
z = 5.5 m = 1 = 2.5 cm
L = 10 m 10x2.5/5.5 = 4.54 cm, B = 10 m 10x2.5/5.5 = 4.54 cm,
na = 128 2a = n/200 (qnet) = 128/200 x 18.3 = 11.7 t/m2
nb = 74 2b = n/200 (qnet) = 74/200 x 18.3 = 6.77 t/m2
nc = 47 2c = n/200 (qnet) = 47/200 x 18.3 = 4.3 t/m2
abc
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:
a =1a +2a = 0.099 + 11.7 = 11.8 t/m2
b =1b +2b = 0.061 + 6.77 = 6.83 t/m2
c =1c +2c = 0.031 + 4.3 = 4.33 t/m2