Kemampumampatan Tanah 3
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Transcript of Kemampumampatan Tanah 3
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T A N J U N G P U R A U N IV E R S IT Y
Civil Department Engineering Faculty
Jalan Ahmad Yani Pontianak - 781! "8
#$ Perhitungan Penurunan yang Di%e&a&kan oleh 'on%olida%i Primer (atu Dimen%i
(uatu lapi%an lempung )enuh dengan te&al H dan lua%
penampang melintang A %erta tekanan e*ekti* overburden
rata-rata %e&e%ar p+ mengalami %uatu penam&ahan tekanan%e&e%ar ∆ p %ehingga menye&a&kan ter)adinya penurunan
kon%olida%i primer %e&e%ar S $ Peru&ahan volume ,am&ar 1".
dapat di&erikan %e&agai &erikut/
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T A N J U N G P U R A U N IV E R S IT Y
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Gambar.13 Penurunan yang disebabkan oleh konsolidasi satu
dimensi
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T A N J U N G P U R A U N IV E R S IT Y
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etapi2 peru&ahan volume total adalah %ama dengan
peru&ahan volume pori2 ∆V v$ Jadi2
v v v V V V ASV ∆=−==∆10
.
dimana V + dan V 1 &erturut-turut adalah volume a3al dan
volume akhir$
AS AS(H H V V V ..) A.10 =−−=−=∆
dimana V v + dan V v 1 &erturut-turut adalah volume a3al dan
volume akhir dari pori$
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Dari de*ini%i angka pori/
sv V eV .∆=∆
etapi2
00
0
11 e
AH
e
V V s
+
=
+
=
dimana e+ 4 angka pori a3al pada %aat volume tanah %ama
dengan V +$
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Dari ga&ungan per%amaan-per%amaan diata%2
Atau2
ee
AH V e ASV s ∆
+=∆==∆
01 .
01 e
eH S
+
∆=
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5ndek pemampatan ,compression index .6
( )[ ]00 loglog p p pC e c −∆+=∆
∆+
+=
0
0
0
log
1 p
p p
e
H C S c
aka penurunan adalah6
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ntuk %uatu lapi%an lempung yang te&al2 adalah le&ih teliti&ila lapi%an tanah ter%e&ut di&agi men)adi &e&erapa %u&-
lapi%an dan perhitungan penurunan dilakukan %ecara terpi%ah
untuk tiap-tiap %u&-lapi%an$ Jadi2 penurunan total dari %eluruh
lapi%an ter%e&ut adalah/
( ) ( )
( )∑
∆+
+=
i
i i i c
p
p p
e
H C S
0
0
0
log1
dimana/
H i 4 te&al %u&-lapi%an i
p0(i) 4 tekanan e*ekti* overburden untuk %u&-lapi%an i
∆ p(i) 4 penam&ahan tekanan vertikal untuk %u&-lapi%an i
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5ndek pemuaian ,swelling index 9recompression index .6
∆e 4 C % [log , p+ : ∆ p. ; log p+]
aka penurunan adalah6
∆+
+=
0
0
0
log1 p
p peH C S s
Apa&ila , p+
: ∆ p. ≤ pc
lapangan6
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Apa&ila p+
: ∆ p pc
lapangan6
∆++
++
=c
c c s
p
p p
e
H C
p
p
e
H C S 0
000
log1
log1
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Normally consolidated 6
∑
+= 00 '
'
log1 z
zf c
H e
C
S σ
σ
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Overconsolidated -ka%u% 16
∑
+
=00 '
'log
1 z
zf r H e
C S
σ
σ
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Overconsolidated -ka%u% 6
∑
+
++
= )'
'(log
1)
'
'(log
1 000 c
zf c
z
c r H e
C H
e
C S
σ
σ
σ
σ
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#$ =umu% Empiri% untuk enentukan
5ndek Pemampatan dan 5ndek Pemuaian ,er>aghi dan Peck2 10<7.
C c 4 +2++0 , ; 1+.
C c 4 +2++7 , ; 1+.
untuk tanah tak terganggu ,undisturbed soil .
LL = batas cair ()
untuk tanah terganggu ,disturbed soil .
5ndek Pemampatan2 C c
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1≅sC c C
10
1
5ndek Pemuaian2 C %
%ampai
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"abel #.1. $ubungan untuk %ndeks Pemam&atan' c