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modul yang baik
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plaxis
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Slope Stability Analysis
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A n a l i s i s S t a b i l i t a s L e r e n g M e t o d e S p e n c e r ( N o t e s )
D a la m t u l is a n in i, s e c a r a s e d e r h a n a d a n s in g k a t p e n u lis a k a n m e n u r u n k a n P e r s a m a a n F a k t o r A m a n d a l a m A n a l is is S t a b i l it a s L e r e n g M e t o d e S p e n c e r .
S u a t u lin g k a r a n b e b e ra p a p ia s e k s te rn a l y a n g m e n g a s u m s ik a n a n t a r - p ia s ( in t e r s u a t u t it ik d i p ia t e r h a d a p b id a n g p a d a g a m b a r d i
k e ru n tu h ( s lic e ) . m e m b e b b a h w a s lic e f o r c s y a n g m h o r is o n a t a s .
a n le r e n G a y a a n i p ia te rd a p a e s ) y a n e m b e n ta l. Ilu s
g d a p -g a y a s d ia n t g a y a g m a n tu k s u t r a s in y
a t d in a lis (Q a b d u t a d
ib a g i d a l a m t e r n a l d a n a . S p e n c e r ) p a d a s is i e r l a k u p a d a t e r t e n t u ( θ ) a p a t d i l i h a t
D a r i a n a lis a t e r h a d a p g a y a - g a y a t e r s e b u t , m a k a d id a p a t la h p e r s a m a a n u n t u k m e n g e t a h u i b e s a r g a y a Q u n t u k t i a p p i a s t e r s e b u t , y a k n i s e b a g a i b e r i k u t :
. . . . . ( 1 )
S p a n s a t id d a d e d a g a
e n c e r ju g a m e n g t a r p ia s it u p a r a l e l d m a b e s a rn y a . D e n a k lo n g s o r ( s e im b a r i s e m u a p ia s a d a la n g a n J u m la h g a y a ri g a y a Q te rs e b y a n y a d e n g a n d e m
a s u a n s g a n n g , h s a e le u t. ik ia n
m s ik a n b a h w a g a y a - g a y a u d u t θ p a d a t i a p p i a s a d a l a h d e m ik ia n , d a la m k e a d a a n e q u i l i b r i u m ) , ju m l a h g a y a Q m a d e n g a n N o l , b e g it u ju g a m e n h o r is o n t a l d a n v e r t ik a l P e r s a m a a n k e s e im b a n g a n p u la a d a l a h s a m a , y a k n i :
. . . . . . . . . . ( 2 )
D a n k e s e im b a n g a n k e le n g k u n g a n lin g k a r a n a d a l a h s e b a g a i b e r i k u t :
m o m e n (R s a m a
u n tu k ja r i- ja r i p a d a t ia p p ia s )
. . . . . . . . . . ( 3 )
C a r a m e n e n t u k a n F a k t o r A m a n ( F ) d a n s u d u t k e m i r i n g a n Q ( θ ) m e n g g u n a k a n g r a f i k ( C h a r t s )
I l u s t r a s in y a d a p a t d ilih a t p a d a g a m b a r d i b a w a h . C a r a m e n e n t u k a n n y a a d a l a h s e b a g a i b e r ik u t :
1 p S b p d
. e u e ia iu
T e n tu k rm u k a a n r fa c e ). K b e ra p a p s ra ta -ra k u r s e c a
a n lo n e m u ia s ta ( ra g
d im e n s i- d im e n s i g s o r b e r b e n t u k lin d ia n a r e a d i d a la m ( s lic e ) d e n g a n l e b h ) d a n s u d u t a la s e o m e t r i k .
le r e n g . g k a ra n (C n y a d ib a a r y a n g s p i a s ( α )
ir g i a m y a
T e n t u k a n c u l a r S l i p k e d a l a m a . T in g g i n g d a p a t
2 . T e n t u k a n p a r a m e t e r - p a r a m e t e r k a r a k t e r i s t i k T a n a h .
3 . T e n t u k a n b e b e r a p a n i l a i θ , d a n b e r s a m a p a r a m e t e r l a in n y a m a s u k k a n k e d a la m p e r s a m a a n ( 2 ) d a n ( 3 ) .
4 . S e t i a p n i l a i θ m e n g h a s i l k a n n i l a i F u n t u k p e r s a m a a n ( 2 ) d a n p e r s a m a a n ( 3 ) . N il a i F d a r i p e r s a m a a n ( 2 ) d ib e r i s im b o l F 1 d a n d a r i p e r s a m a a n ( 3 ) d ib e r i s im b o l F 2 . 5 . B u a t la h g r a f ik d im a n a s u m b u h o r is o n t a l n y a a d a l a h θ d a n s u m b u v e r t i k a l n y a a d a l a h n i l a i F . S e h i n g g a p a d a g r a f ik t e r s e b u t m e m ilik i k u r v a F 1 d a n k u r v a F 2 .
6 . P e r s ila m a k s u d n h o r is o n t a y a n g d ic in t e r n a l a
n g y a ln y a ri n ta
a n a n t a r k u r v a t e r j a d i p a d a t i t i k ( θ , F ) y n ila i v e r t ik a ln y a a d a la h F a a d a l a h θ . F t e r s e b u t a d a l a h f a k t o r a d a n θ y a n g d i d a p a t k a n a d a l a h s r p i a s t e r s e b u t .
a k n i d a n m a n u d u t
D e m ik ia n la h c a r a m e n e n t u k a n F a k t o r A m a n s p e n c e r m e n g g u n a k a n g r a f ik .
m e t o d e
C a r a m e n e n t u k a n F d a n θ m e n g g u n a k a n a n a l i s a g e o m e t r i k
C a ra m e to m e m k e s e
n y a a d a la h d e s p e n c e r e n u h i p e rs a m im b a n g a n g a
P e rs a m a a ( d is e d e r h a (4 ) d a n (5 in d e k s p ia
n
d e u n a a y a n
n g a tu k n k e y a (
te rs e b u n a k a n d a n d ip ) . D i m a n a A a s d a n n a d a la h
n
m e r u m u s k a n p e r s a m a a n m e n d a p a t k a n n il a i F y a n g s e im b a n g a n m o m e n ( 3 ) d a n 2 ) . t
d a e r je la s ) d a la h lu ju m la h p
p a t d it u r u n k a n m e n ja d i p e r s a m a a n a s a n p i a s , i a d a l a h i a s .
N ila i F d a p a t d ic a r i d e n g a n s e b a g a i b e r i k u t :
c a r a t r i a l a n d
e r r o r
1 . T e n t u k a n n i l a i a w a l s u d u t θ u n t u k m e n e n t u k a n n i l a i F p a d a p e r s a m a a n ( 4 ) d a n F p a d a p e r s a m a a n ( 5 ) u n t u k m a s i n g - m a s i n g n i l a i s u d u t t e r s e b u t .
2 . N ila i F n ila i F p m a k a n ila P r o s e s in k e d u a p e F a k to r A m
p a d a a d a p e i s u d u t i d ite r u rs a m a a a n y a n
p e rs a d ig s k
rs a m a a n (4 ) m a a n (5 ). A a n ti d e n g a n a n h in g g a F n t e r s e b u t . F in g d ic a r i.
h a ru s s a p a b il a b n ila i s u d u b e r n ila i ila h y a n g
m a e lu m t y a s a m m e
d e n g a n s a m a , n g b a r u . a u n t u k r u p a k a n
M e n g e n a i L u a s P i a s s d a n s u d u t a l a s p i a s
D a b a a la g e
la m p e r h it u n g a n fa k to r a m a n m e n g g u n a k a n n t u a n k o m p u te r , p e r s a m a a n L u a s p ia s d a n s u d u t s p ia s d a p a t d ic a r i d e n g a n m e to d e a n a lis is o m e t r i k .
L u in t b e b a
a s p ia s ( e g r a l lu a s ra t (c e n te n t u a n in t e g
D im g e o p e r lin g d a p (Y c
a n a Y b m e tri le s a m a a n k a ra n . A a t d ic a r i ) p a d a
A ) a n r o ra l
re d d t it
a d n g lin a p e n ik
d a p a s e b a f m a In e r s
t
d it e n tu g a im a n a s s ) d a p ia s e b a g a
a la h P e r s ( s lo p e b o g k a ra n d u n p e rs a m g a n d if e r e n b e ra t (c e n
a m a u n d a ri a a n s ia s te r
k a p a t im
n
d e e rs a m d it e n a n a p
a n a r ie p e s u i p e o f
d id a p a t k a n d a r i p e r s a m a a n ( 7 ) .
n g a n b a a a n (6 ) tu k a n d e rs a m a a
g a r is - g s ) d a n rm u k a a d u t a la rs a m a a m a s s ,
a r is Y c a n g s p ia n lin g x i )
n tu a n . T it ik e n g a n n ( 7 ) .
b a t a s d a l a h e lin c ir s ( α ) k a r a n y a n g
A d a p u n a s e d e rh a n a lu a s a n p ia m a n u a l, m e n g g u n a d e n g a n b u t id a k la h a b e s a r a p a b
p a b il a ta n p s d a n y a k n i k a n m s u r d e k u ra t, ila le b
m e n g g u n a k a b a n tu a n a la s p ia s d a d e n g a n m is t a r u k u r d a n r a ja t . T e n t u n ta p i p e rb e d a a r p ia s c u k u p
a n k o m p a t e n g s u ila i a n k e c
p e r h it u n g a p u te r, p e r m e n g g u n a k h it u n g lu a d u t k e m ir in g p e r h itu n g a n s u d u t ju g a i l .
n
y a n g s a m a a n a n c a r a s p ia s a n a la s m a n u a l t id a k la h
D a f t a r P u s t a k a
S p e n c e r , E . 1 9 6 7 . A M e t h o d o f a n a l y s i s o f T h e S t a b i l i t y o f E m b a n k m e n t s A s s u m in g P a r a l l e l in t e r - s li c e f o r c e s . G e o t e c h n i q u e 1 7 : 1 1 - 2 6 .
S u p L o n B a h Y o g
r iy g s a s y a
a d i J o r D a a P e m k a rta :
o k n ro F T
o ,
2 0 0 9 . M e n e n t u k a n L o k a s i B id a n g F a k to r A m a n L e r e n g M e n g g u n a k a n g r a m a n M a t l a b . S k r ip s i t id a k d i t e r b i t k a n . U M Y .
