Retaining Wall CRP PLN PSS 01 01
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Transcript of Retaining Wall CRP PLN PSS 01 01
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8/12/2019 Retaining Wall CRP PLN PSS 01 01
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DESIGN OF ABUTMENT
(P2/2) = 5.045 KN
H1(m) =0.90.9
H2(m) = 0.90.9
3.5H3(m)= 0.9
0.9
H4(m) = 0.8 H(m)
0.8
1.3 H5(m)= 1.3 1.3
H7(m) = 0.3 slice (1) slice (2) slice (3) slice (4) slice (5) slice (6)
Hf= 1.6 B1(m) B2(m) B3(m) B4(m) B5(m) B6(m) H6(m) =0.3 0.3
A
0.3 0.6 0.225 0.225 0.225 0.225 0.3
35.00 0.61 5.1 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
6.12 5.00 1.6
K%
0.271
P%(KN/m le"')
63.40
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')
53.17
-ei' !f !"cree (KN/mle"')
1 72.22 0.00 0.6 43.332 22.30 3.65 1.0125 26.273 17.52 7.29 1.2375 30.714 12.74 10.94 1.4625 34.635 8.50 14.18 1.6875 38.266 2.12 25.92 1.95 54.697 2.12 7.02 0.15 1.37
P2 5.05 0.6 3.03
B%cfill 63.40 1.70 107.78
53.17 0.53 28.36
slice(7)B7(m)
"er"%l Frici!"
+B%cfill+
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m A (m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#!
!e (KNm/mr")
P%ssiee%r
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H!ri:!"%l l!%&+ * = P% P = 10.23 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
9.00 1.5
Pm%( KN/m2)
All!$%#le #e%ri"' c%%ci>!f s!il ( KN/m2)
A"'le !f frici!" #e$ee" e #%se %"&s!il+ (&e')
A"'le !f frici!" #e$ee"e #%se %"& s!il+ (r%&)
All!$%#le F%c!r f %fe>%'%i"s sli&i"'
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DESIGN OF ABUTMENT
( P1)/2 = 4.53 KN
H1(m) =1.2
H2(m) = 0.60.6m
3.5m H3(m)= 0.6
H4(m) = 0.6 H(m)
H'(m)= 1.20
Be& leel
0.3m
H5(m)= 0.8
0.8m
H7(m) = 0.9slice (3) slice (4) slice (5) slice (6)
Hf= 0.6B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) =0.90.9m
!e
0.3 0.6 0.225 0.225 0.225 0.225 0.225
35.00 0.61 4.7 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
5.64 5.00 0.6
K%0.271
P%(KN/m le"')
53.84
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')
19.94
1 72.22 0.00 0.6 43.332 22.30 3.65 1.0125 26.273 17.52 7.29 1.2375 30.714 12.74 10.94 1.4625 34.635 8.50 14.18 1.6875 38.266 2.12 25.92 1.95 54.697 2.12 1.62 0.15 0.08
P1 4.53 2.72B%cfill 53.84 1.70 91.53
0.6m
0.6m
0.6m
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%l
Frici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+
H(m)
-ei' !fB%cfill+(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f !"cree(KN/mle"')
P!i" ;!%&(KN)
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#!
!e (KNm/mr")
P%ssie
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0.566667
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DESIGN OF ABUTMENT
(P1/2) = 4.53 KN
H1(m) 1.2
H2(m) = 0.6
3.5mH3(m)= 0.6
H4(m) = 0.6 H(m)
0.3m 2.0m H5(m)= 2.5
H7(m) = 0.6 slice (3) slice (4) slice (5) slice (6)
Hf= 2.3B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) 0.6
!e
0.3 0.6 0.225 0.225 0.225 0.225 0.3
35.00 0.61 6.1 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
7.32 5.00 2.3
K%
0.271
P%(KN/m le"')
90.70
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+H(m)
-ei' !fB%cfill+(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+
P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
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76.43
-ei' !f !"cree (KN/mle"')
1 86.38 0.00 0.6 51.832 26.02 4.86 1.0125 31.263 22.83 7.29 1.2375 37.284 19.65 9.72 1.4625 42.955 16.46 12.15 1.6875 48.286 4.25 29.70 1.95 66.207 4.25 9.18 0.15 2.01
P1 4.53 0.6 2.72B%cfill 90.70 2.03 184.42
76.43 0.77 58.60
!%l 175.58 63.72 341.13 184.42
H!ri:!"%l l!%&+ * = P% P = 14.26 KN/mle"'
*esl%" m!me" %#! !e+ !f s!il ( KN/m2)
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!e
0.3 0.6 0.225 0.225 0.225 0.225 0.225
35.00 0.61 4.7 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
5.64 5.00 0.6
K%
0.271
P%(KN/m le"')
53.84
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')19.94
1 86.38 0.00 0.6 51.832 26.02 4.86 1.0125 31.263 22.83 7.29 1.2375 37.284 19.65 9.72 1.4625 42.955 16.46 12.15 1.6875 48.286 4.25 29.70 1.95 66.207 4.25 3.24 0.15 0.15
P1 4.53 2.72
B%cfill 53.84 2.03 109.48
19.94 0.77 15.29
!%l 175.58 63.72 295.95 109.48
H!ri:!"%l l!%&+ * = P% P = 33.90 KN/mle"'
*esl%" m!me" %#! !e+
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!%l eric%l l!%&+ *= 239.30 KN/mle"'
;eer %rm !f #%se resl%"+ ;%=+ e = ;%B/2+ %"& e, B/3 ? e@ 2B/3
e (m) B/3 (m) 2B/3 (m) ;% (m)= 0.78 , B/3
0.233277 0.675 1.35 @ 2B/3
e %'%i"s sli&i"'
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1.2m
0.6m
0.6m
0.6m
2.5m
0.9m
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0.6m
0.8m
0.9m
0.6m
0.6m
0.6
m
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DESIGN OF ABUTMENT
H1(m) =0.60.6m
H2(m) = 0.60.6m
2.9mH3(m)= 0.6
0.6m
H4(m) = 0.6 H(m)0.6m
H'(m)= 2.60
Be& leel
1.7m
H5(m)= 2.5
2.5m
H7(m) = 0.9slice (3) slice (4) slice (5) slice (6)
Hf= 2.3B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) =0.90.9m
!e
0.3 0.6 0.225 0.225 0.225 0.225 0.3
35.00 0.61 5.8 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
6.96 5.00 2.3
K%
0.271
P%(KN/m le"')
82.00
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')
76.43
-ei' !f !"cree (KN/mle"')
1 82.13 0.00 0.6 49.282 27.61 2.43 1.0125 30.423 24.43 4.86 1.2375 36.244 21.24 7.29 1.4625 41.735 18.05 9.72 1.6875 46.876 6.37 26.46 1.95 64.027 6.37 9.18 0.15 2.33
B fill 82 00 1 93 158 53
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+H(m)
-ei' !fB%cfill+(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#!
!e (KNm/mr")
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H!ri:!"%l l!%&+ * = P% P = 5.56 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
19.34 1.5
Pm%( KN/m2)
All!$%#le #e%ri"' c%%ci>!f s!il ( KN/m2)
A"'le !f frici!" #e$ee" e #%se %"&s!il+ (&e')
A"'le !f frici!" #e$ee"e #%se %"& s!il+ (r%&)
All!$%#le F%c!r f %fe>%'%i"s sli&i"'
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DESIGN OF RETURN WALL
H1(m) =0.450.6m
H2(m) = 0.450.6m
2.6mH3(m)= 0.45
0.6m
H4(m) = 0 H(m)
0.6m
H'(m)= 2.60
Be& leel
1.7m
H5(m)= 0
2.5m
H7(m) = 0.15slice (3) slice (4) slice (5) slice (6)
Hf= 2.3B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) =0.150.9m
!e
0.15 0.3 0.15 0.15 0 0 0.15
35.00 0.61 1.5 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
1.8 5.00 2.3
K%
0.271
P%(KN/m le"')
5.48
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')
76.43
-ei' !f !"cree (KN/mle"')
1 10.62 0.00 0.3 3.192 3.72 1.22 0.525 2.593 2.12 2.43 0.675 3.074 0.00 0.00 0.75 0.00
5 0.00 0.00 0.75 0.006 0.53 3.65 0.825 3.457 0.53 6.62 0.075 0.54
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+H(m)
-ei' !fB%cfill+(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#!
!e (KNm/mr")
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!%l 16.99 7.29 71.43 2.74
H!ri:!"%l l!%&+ * = P% P = 70.95 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
0.16 1.5
Pm%( KN/m2)
All!$%#le #e%ri"' c%%ci>!f s!il ( KN/m2)
A"'le !f frici!" #e$ee" e #%se %"&s!il+ (&e')
A"'le !f frici!" #e$ee"e #%se %"& s!il+ (r%&)
All!$%#le F%c!r f %fe>%'%i"s sli&i"'
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Der!"#$% $& e'("#$%) &$r A%*(#
*efere"ce esi'" !f m%ll %ms
"er'> ;i"e
Affl le%i!" %
H1 H2 >
+ &
P &1 &2
Der!"#$% $& e'("#$%)
*efere"ce esi'" !f m%ll %ms
Ar!%c el!ci>= C%
Cel!ci> e%&=%=C%2/2'
e el!ci> % !i" P=C=(2>')0.5
-i& !f !e"i"'=l
isc%r'e % %" eleme" &> &D=(2>')0.5.&>.l
D=0.667l (2')0.5(H11.5H21.5)EEEEEEEE(1)
-e" eD%i"' e e%&
HH1=&1C12/2' =&2C22/2' EEEEEEEE..(2)
-e" eD%i"' &isc%r'e
D=C1&1=C2&2EEEEEEEEEEEEEEEEE.(3)
Fr!&e "m#er Fr=1/('&1)0.5EEEEEEEEE.(4)
Fr!m (2)+(3) ?(4) &2=(&1/2)((18Fr2)1) EE(5)
ffecie le"' !f cres+ ;=;2(N%)H!EEEEE(6)
-ere ;=Ne le"' !f cres
N=Nm#er !f iers
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c!r &e *=0.9(D/f)0.333 fEEEEEEEEEE(7)
D=&isc%r'e (c.f/s/f)
f=sil f%c!r ( f=1 f!r s%"&)
;e"' !f / %r!" ;%=5(&2&1)EEEEEEEEE.(8)
c%se % $e" [email protected]+ ;%=5(&2&1)
c%se #$e" Fr ,4.5+ ;%=3.5&2
c%se c $e" Fr,4.5+ ;%=4 &2
isc%r'e G= (2/3)(2')0.5(;)(H11.5H21.5)
,"r"-e#er) $& A%*(#
Hf (m)
1.57 1.87 0 1.87
N! !f !e"i"'s -i& !f ier N! !f iers (N)
1.57 8 0.6 7
16.2 19.51 12 0.6
Assme e el!ci> e%& is :er!
H1 (m) H2 (m )
1.57 & 1.57&
; (m) % H!(m)
12 0 0 1.57
ffecie $i& !f %"ic ; (m) 12
-i& !f si"'le #%>+ l (m) !efficie"
1.5 0.65
D)*"r/e #r$(/ #e A%*(#
G=;H!1.5
G(f3/s) G(m3/s)
3.3 1517.85 43.01 T"e 45.00 -3) 3.75
isi"' F(m)
isi"' HF(m)
I/ csi!" r%ise& #>(m)
F(m)=1.2
0.175=1.025
-i& !fA"ic (m)
-i& !f %r!"-%(m)
!%l $i& !f!e"i"' (m) ; =16.2 7 0.6 =
12.0 m
Hei' !f res (m)
Hei' !f '%e !e"i"'=&
'(.-
)-
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s !f $i& 1.5m %"& 7 N!s. !f iers !f $i& 0.6m
Ne cres le"' =12.0 m
Ne A"ic le"' $i 7 N!s. !f iers=1270.6 =16.2 m
Ise !i"e& N!se iers %"& A#me" e%& $%ll is l%ce& % 45 &e'rees ! e &ireci!" !f fl!$
D =(2/3) 1.5 (29.81)0.5 0.65 ( H11.5 (H1&)1.5 ) cm/s
D=2.88(H11.5 (H1&)1.5 ) cm/s
D=2.88(1.571.5(1.57&)1.5) cm/s
Cel!ci> %r!%c + C%=D/(1.5 & ) m/s
Cel!ci> e%&+ %= (C%2)/(2 J 9.81) m
Ne$ !%l e%&+ H1=(1.57% ) m
&(m) %(m)
0.1 0.533 3.551 0.643 2.213
0.2 1.047 3.491 0.621 2.191
0.3 1.544 3.430 0.600 2.170
0.4 2.021 3.368 0.578 2.148
0.5 2.478 3.304 0.556 2.126
0.6 2.914 3.238 0.534 2.104
0.7 3.328 3.170 0.512 2.082
0.8 3.720 3.100 0.490 2.060
0.9 4.086 3.027 0.467 2.037
1 4.426 2.951 0.444 2.0141.1 4.738 2.871 0.420 1.990
1.2 5.017 2.787 0.396 1.966
G(m3/s)
D(m3/s/m)
G(f3/s)
D(.m/s/
m)
C%(D.m/s/
m)
Ne$ H1
(m)
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Ne$ &isc%r'e r!' si"'le '%e+ D
D=(2/3)1.5(29.81)0.5 0.65 ((Ne$ H1)1.5(Ne$ H1&)1.5) cm/s
D=2.88 ( (Ne$ H1)1.5 (Ne$ H1&)1.5 ) EEEEEEEE(A)
-e" eD%i"' e e%&+ &1 12/2' =0.6 Ne$ H1 EE .(B)
D=&1 1 =&2 2 %"& e"ce 1=D/&1EEEEEEEEEE
Fr!&e "m#er + Fr=1/('&1)0.5 EEEEEEEEEEEE()
&2=(&1/2)((1 8Fr2)0.5 1) EEEEEEEEEEEE .()
D%i!" (B) D.() D.() [email protected] Fr,4.5& Ne$ H1 D &1 1 ;H *H Fr &2 5(&2&1) 3.5&2 2
(m) (m) (c.m/s) (m) (m/s) (m) (m) (m) (m) m (m/s)
0.1 2.213 0.635 0.0923 6.883 2.51 2.51 7.233 0.899 3.147 0.707 0.086
0.2 2.191 1.249 0.1856 6.731 2.49 2.49 4.988 1.220 4.269 1.024 0.174
0.3 2.170 1.841 0.281 6.553 2.47 2.47 3.947 1.434 5.766 1.284 0.2620.4 2.148 2.411 0.378 6.378 2.45 2.45 3.312 1.592 6.068 1.515 0.351
0.5 2.126 2.957 0.478 6.185 2.43 2.43 2.856 1.707 6.143 1.732 0.440
0.6 2.104 3.478 0.582 5.975 2.40 2.40 2.501 1.788 6.029 1.945 0.53
0.7 2.082 3.973 0.69 5.758 2.38 2.38 2.213 1.842 5.760 2.16 0.62
0.8 2.060 4.441 0.805 5.517 2.36 2.36 1.963 1.869 5.318 2.377 0.71
0.9 2.037 4.881 0.925 5.277 2.34 2.34 1.752 1.875 4.751 2.603 0.81
1 2.014 5.290 1.075 4.921 2.31 2.31 1.515 1.828 3.767 2.894 0.91
1.1 1.990 5.667 1.26 4.498 2.29 2.29 1.279 1.735 2.375 3.266 1.0
1.2 1.966 6.008 1.6 3.755 2.32 2.27 0.948 1.489 0.555 4.035 1.1
1.3 1.941 6.310 1.26 5.008 2.54 2.24 1.424 1.985 3.627 3.178 1.2
1.4 1.915 6.568 1.395 4.708 2.52 2.22 1.273 1.908 2.567 3.442 1.39
-e" %ll '%es %re fll> !e"e&+G=%;Hf1.5 cfs
% ; (f) Hf (f) G (cfs)
3.3 39.36 6.1336 1973.07
He"ce e el!ci> !f fl!$ + C=G/(-% Hf) f/s
C (f/s)5.03
%se (1)Fr ,4.5 %"& ;%=3.5&2
&(m)@ &2(m) m%. ;% (m)
0.3 1.22 4.270
%e ;%= 5.0 m
%se (11)Fr @ 4.5 %"& ;%=5(&2&1)
&(m), &1(m) &2(m) ;% (m)
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He"ce selec >e (i) illi"' #%si" %"& ;%= 7.0 m
De#er-%e #e S*$(r e#
*=0.9 (D2/f)0.333
D=3.75 m3/s/m = 40.34 .f/s/f
i%meer !f fi"e s%"& &m= 0.175 mm
f=1.76(&m)0.5 = 0.74
*=0.9(40.342/0.74)0.33 = 11.4 f = 3.4778 m %> *=3.5 m
e m!&ifie& &e !f sc!r f!r Ls #el!$ e e"& !f / %r!" * = * $ere =2
* =23.5 = 7.00 m
e !f sc!r #el!$ / %r!"+ =*&2 =* &2= 7.001.79 = 5.21 m
*eDire& le"' !f *ir% =1.5 =1.55.21 =7.8 m %> e le"' !f *i*% = 8.0 m
De#er-%e #e e/# $& e% )
Fr!&e "m#er Fr 4/&1 &1(m) 4(m)2.501 1.25 0.478 0.60
eref!re e ei' !f e"& sill+ 4 = 0.6 m
De#er-%e #e &ree:$"r &$r )#%/ :")%
1(m/s) &1(m)6.185 0.478 2.19
Free#!%r& = 2.19 f+ s%> 0.7 m
Hei' !f si&e $%ll = &2 free#!%r&
Free#!%r& (m) &2 (m) Hei' !f si&e $%ll (m)0.67 1.707 2.37
Hei' !f si&e $%ll = 2.37 m+ s%> 2.4m
e* &$r (
3.80 1.25 0.3 7.0B
0.30 A1(m)= 0.3
2(m)= 0.45
6 3(m)= 0.9
74(m)= 0.4
0.1( 7.267 0.1988 )
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;1(m) ;6(m)
;2(m) ;3(m) ;4(m) ;5(m)
6 ;1 (m) ;2 (m) 7 (m) ;3 (m) ;4(m) ;5(m) ;6 (m)
4.4 0.3 3.50 4.1 1.25 0.3 6.7 0.3
ffecie !ri:!"%l cree le"' (m) =(;1;2;3;4;5;6)/3 = 4.12 m
ffecie eric%l cree le"' (m) =(2627) = 16.8 m
ffecie !%l cree le"' (m) = 20.9 m B = 12.35 m
He%& % I/ (m) He%& % / (m) He%& &iffere"ce H& (m)1.57 0 1.57
Assmi"' "! $%er i" e %il+ e m%imm e%& &iffere"ce+ H&=1.57 m
-ei'e& cree r%i! (-*) =!%l ree le"'/H&
-ei'e& cree r%i! (-*)
13.3
-ei'e& cree r%i! = 13.0, 5 e"ce e f!"&%i!" is si%#le f!r s%"&> s!il
Ilif % A =H&(H&/ ;c) ree le"' % A (m)=1.57(1.57/20.9)((3.81.250.3)/34.23.9)
Ilif % A+ I%= 0.8056 m
Ilif % B =H&(H&/ ;c) ree le"' % B (m)
Ilif % B+ I#= 0 m
!%l lif !" e Ml%cis =0.5(I%I#)(;3;4)9.81 = 27.662 KN/m
elf $ei' !f Ml%cis = 50.4 KN/m , 27.662 KN/m
e"ce e #%si" is s%fe fr!m lif ressre.
!%l $ei'e& le"' !f cree = 20.9 m
!efficie" !f Pressre % = (1(4.23.9)/20.9) = 0.5984 $ic is eDi%le" ! 60
!efficie" !f Pressre % B = (1(4.23.94.12)/20.9) = 0.40159 $ic is eDi%le" ! 40
Aer%'e ressre c!efficie" % =60 %"& % B =40
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A%";)) &$r S#r(*#(r" S#":#;
!"si&er 1.0 m sri !f A"ic
-. !f '%e = 1.0 KN/m
-. !f c!"cree = 24.0 KN/m3
!m!"e"
%m 9.00 7.93 71.33
1.08 7.20 7.77
%m #%se 16.74 7.78 130.15
I/ si!" 27.36 10.45 285.91
/ si!" 75.60 3.50 264.60
Ilif f!rce 95.11 6.59 626.43
12.09 0.52 6.26
-. !f '%es 1.00 7.93 7.93
58.53 10.45 611.60
!%l mr = 1379.29 m! = 632.69
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De)/% $& G"#e) "% = .(A$H)-I l#s (ec"ic%l Mi& li"eeci!" 10.10)
F!r sli&i"' '%e+ c!efficie" = 0.35
Are% !f '%e = A (sD.f)
e"si> !f $%er $ ( l#s/f3) = 62.5
He%& !f $%er fr!m ce"re !f '%e =H (f)
-ei' !f m!i"' %rs = - (l#s)
H>&r%lic &!$" rs = I (l#s)
-i& !f '%e+ ; (f)= 5.0
Hei' !f '%e+ (f)= 5.0
ic"ess !f '%e #%se+ (f) = 0.25
-ei' !f '%e+ -'(l#s)=2.(;)1.5.()1.75= 373.8
H>&r%lic &!$" rs+ I(l#s)=;.H..$ = 390.625
H (f) = 2.092
(l#s) = 1127.3
-!r &!"e er re!li!" ! !erc!me frici!" #e$ee" #r%ss 'l%"& %"& seel #%se l%e =1 l#s
1= 2..P. (B23B13)/ 3.(B22B12)
= 0.15 -ere+ =c!efficie" !f frici!" #e$ee" seel %"& #r%ss
B2 (i"c) = 7 B2= i%meer !f #%se l%e (i"ces)
B1 (i"c) = 2.5 B1 = i%meer !f re%& (i"ces)
1(l#s) = 2713.09
-!r &!"e er re!li!" ! !erc!me frici!" #e$ee" re%&s %"& 'l%"& = 2 (l#s)
2 = .P..&
& (i"ces)= 1.5 & = i%meer !f si"&le (i"ces)
2 (l#s) = 797.144
-!r &!"e er re!li!" ! lif l!%& =3 ( l#s)
3 (l#s) = / = 187.88 = Pic (N! !f re%&s er i"c)= 6
= i%meer !f !er%i"' %"&le (i"ces)= 24
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m!se& l!%& !" #e%m = 1.60.75 = 1.2 KN/m
I"if!rml> &isri#e& l!%& "= 1.956 s%>+"= 2.0 KN/m
-ei' !f '%e -'= 373.8 l#s = 169.93 K'
-ei' !f H!is -=150 -'/2240 l#s = 11.379 K'
-ei' !f fie& %rs -f =0.25-' l#s = 42.481 K'
H>&r%lic rs+ H> =KA$H = 1144.06 l#s = 520 K'
!%l l!%& &e ! '%e %rr%"'eme" = 7.2968 KN
A Ilim%e c!"&ii!" !i" l!%& % ce"re !f !"e #e%m =1.47.2968/2 = 5.107776777 KN
5.10778 KN
I;+"=2.0 KN/m
* *
;=1.9744 m
*e%ci!" % e"&s *= 4.53 KN
fc=20 N/mm2+ f>=460 N/mm2+ #=150 mm+ &=119 mm %"& K=
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fc=20 N/mm2+ f>=460 N/mm2+ #=450 mm+ &=74 mm %"& K=
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%r ressre ! e f!"&%i!" is #%l%"ce&
-ei' !f m%ss c!"cree = 23.6 KN/m3
lice N! -ei' !f c!"cree (KN)
% 4.04 0.35 1.41# 16.14 0.8 12.91
c 26.90 1.35 36.32
& 27.19 1.9 51.66
e 21.52 2.728 58.72
i 84.96 2 169.92
P1 9.06 1.35 12.23
P2 10.09 1.9 19.18
11.18 1.827 20.43
11.77 0.40 4.66
!%l 180.75 19.1497 22.96 387.43
H!ri:!"%l ressre+ * =H1H2= 22.96 KN
*esl%" m!me" %#! !e+ !f s!il
( KN/m2)
A"'le !f frici!" #e$ee" e #%se& il (& )
A"'le !f frici!" #e$ee" # & il ( &)
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F%c!r f %fe> %'%i"s sli&i"'
4.06 1.5
All!$%#le F%c!r f%fe> %'%i"s sli&i"'
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DESIGN OF Re#"%%/ W" R,,LN,SS01 =01
H1(m) =0.6
H2(m) = 0.6
H3(m)= 0.6
Be& leelH4(m) = 0.6 H(m)
H'(m)= 1.20H5(m)= 0.6
H7(m) = 0.45slice (3) slice (4) slice (5) slice (6)
Hf= 1.65B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) = 0.45
!e
0.15 0.225 0.15 0.15 0.225 0.225 0.15
30.00 0.52 3.45 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
4.14 5.00 1.65
K%
0.333
P%(KN/m le"')
35.69
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.001
P(KN/m le"')
73.54
-ei' !f !"cree (KN/mle"')
1 18.32 0.00 0.2625 4.812 10.09 1.62 0.45 5.273 7.97 3.24 0.6 6.724 8.76 7.29 0.7875 12.64
5 5.58 9.72 1.0125 15.496 1.59 8.10 1.2 11.637 1 59 2 03 0 075 0 27
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+H(m)
-ei' !fB%cfill+(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#! !e
(KNm/mr")
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!%l 52.30 29.97 97.28 41.04
H!ri:!"%l l!%& f!r sli&i"'+ * = P% = 35.69 KN/mle"'
F f!r er r"i"'=
!%l eric%l l!%&+ *= 82.27 KN/mle"'
;eer %rm !f #%se resl%"+ ;%=+ e = ;%B/2+ %"& e, B/3 ? e@ 2B/3
e (m) B/3 (m) 2B/3 (m) ;% (m)= 0.68 , B/3
0.046029 0.425 0.85 @ 2B/3
e %'%i"s sli&i"'
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Der!"#$% $& e'("#$%)
*efere"ce esi'" !f m%ll %ms
Ar!%c el!ci>= C%
Cel!ci> e%&=%=C%2/2'
e el!ci> % !i" P=C=(2>')0.5
-i& !f !e"i"'=l
isc%r'e % %" eleme" &> &D=(2>')0.5.&>.l
D=0.667l (2')0.5(H11.5H21.5)EEEEEEEE(1)
-e" eD%i"' e e%&
HH1=&1C12/2' =&2C22/2' EEEEEEEE..(2)
-e" eD%i"' &isc%r'e
D=C1&1=C2&2EEEEEEEEEEEEEEEEE.(3)
Fr!&e "m#er Fr=1/('&1)0.5EEEEEEEEE.(4)
Fr!m (2)+(3) ?(4) &2=(&1/2)((18Fr2)1) EE(5)
ffecie le"' !f cres+ ;=;2(N%)H!EEEEE(6)
-ere ;=Ne le"' !f cres
N=Nm#er !f iers
=ier c!"r%ci!" c!efficie"
%=A#me" c!"r%ci!" c!efficie"
H!=!%l e%& !" cres
c!r &e *=0.9(D/f)0.333 fEEEEEEEEEE(7)
D=&isc%r'e (c.f/s/f)
f=sil f%c!r ( f=1 f!r s%"&)
;e"' !f / %r!" ;%=5(&2&1)EEEEEEEEE.(8)
c%se % $e" [email protected]+ ;%=5(&2&1)
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c%se #$e" Fr ,4.5+ ;%=3.5&2
c%se c $e" Fr,4.5+ ;%=4 &2
isc%r'e G= (2/3)(2')0.5(;)(H11.5H21.5)
,"r"-e#er) $& M"">" A%*(#
Hf (m)
1.2 1.8 0.175 1.625
N! !f !e"i"'s -i& !f ier N! !f iers (N)
1.025 8 0.6 7
16.2 22 12
Assme e el!ci> e%& is :er!
H1 (m) H2 (m )
1.025 & 1.025&
; (m) % H!(m)
16.2 0 0 1.025
ffecie $i& !f %"ic ; (m) 16.2
-i& !f si"'le #%>+ l (m) !efficie"
1.5 0.65
D =(2/3) 1.5 (29.81)0.5 0.65 ( H11.5 (H1&)1.5 ) cm/s
D=2.88(H11.5 (H1&)1.5 ) cm/s
D=2.88(1.0251.5(1.025&)1.5) cm/s
Cel!ci> %r!%c + C%=D/(1.52 & ) m/s
Cel!ci> e%&+ %= (C%2)/(2 J 9.81) m
isi"' F(m)
isi"' HF(m)
I/ csi!" r%ise& #>(m)
F(m)=1.2
0.175=1.025
-i& !fA"ic (m)
-i& !f %r!"-%(m)
!%l $i& !f!e"i"' (m) =16.2 7 0.6 =
12.0 m
Hei' !f '%e !e"i"'=&
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Ne$ !%l e%&+ H1=(1.025% ) m
' ?" " Ne>
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% ; (f) Hf (f) G (cfs)
3.3 39.36 5.33 1598.31
He"ce e el!ci> !f fl!$ + C=G/(-% Hf) f/s
C (f/s)
4.16
%se (1)Fr ,4.5 %"& ;%=3.5&2
&(m)@ &2(m) m%. ;% (m)
0.4 1.367 4.785
%e ;%= 5.0 m
%se (11)Fr @ 4.5 %"& ;%=5(&2&1)
&(m), &1(m) &2(m) ;% (m)
0.4 0.478 1.872 6.97
%e ;%= 7.0 m
He"ce selec >e (ii) illi"' #%si" %"& ;%= 5.0 m
De#er-%e #e S*$(r e#
c!r &e *=0.9 (D/f)0.33 %"& D=G/-%
D (c.f/s/f) f * (f) *(m)
22.15 1 2.5 0.76
%e e &e !f c !ff $%ll =1.5 m
De#er-%e #e )e $& B"&&e :$*
Fr!&e "m#er Fr 3/&1 &1(m) 3(m) &2(m)
5.203 1.5 0.1988 0.30 1.367
0.22 0.22 0.06
%ci"' #e$ee" $! #l!cs = 0.225 m
%ci"' #e$ee" $!#l!cs(m) =0.753
-i& !f #l!c (m)=0.753 m
! $i& !f #l!c (m)=0.23
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e* &$r (
2.4 0.2 6.42
0.45 0.45
2.5 1.5
5.25 1.5
0 5
0 0
10.6 8.65
1.8 12.8 19.22
1.8
0.2
0.3
3.5
0.20.3
3.5
0.2
1.8
0.2
1.8
12.8
He%& % I/ (m) He%& % / (m) He%& &iffere"ce H& (m)
1.5 0 1.5
Assmi"' "! $%er i" e %il+ e m%imm e%& &iffere"ce+ H&=1.5 m
-ei'e& cree r%i! (-*) =!%l ree le"'/H&
-ei'e& cree r%i! (-*)
12.8
isi"' H!ri:!"%lree le"' (m)
A&&ii!"%l H!ri:!"%lree le"' (m)
ffecie H!ri:!"%lree le"' (m)
Pr!!se& Ceric%lree le"' (m)
ffecie Ceric%lree le"' (m)
ffecie !%l reele"'+ ;c (m)
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-ei'e& cree r%i! = 12.8 , 5 e"ce e f!"&%i!"
is si%#le f!r s%"&> s!il
Ilif % A =H&(H&/ ;c) ree le"' % A (m)
2.4 1.8 13
0.45 1.8
2.5 0.2
5.25 0.3
0.2 3.5
10.8 0.2
0.3
3.5
0.2
9.4
Ilif % A = 0.4853 m
Ilif % B =H&(H&/ ;c) ree le"' % B (m)
2.4 1.8 14.150.45 1.8
2.5 0.2
5.25 0.3
0.2 3.5
0.45 0.2
1.5 0.3
1.5 3.5
14.25 0.2
9.4
Ilif % B = 0.3955 m
!%l lif !" e Ml%cis =( (0.48530.3955)/2) 9.81 (0.4521.5) = 14.91 KN/mr"
elf $ei' !f Ml%cis =( 0.45(321.52)0.5)0.224= 18.26 KN/mr"
H!ri:!"%l reele"' % A (m)
Ceric%l cree le"'% A(m)
ffecie cree le"'% A (m)
H!ri:!"%l reele"' % B (m)
Ceric%l cree le"'% B(m)
ffecie cree le"'% B (m)
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-i& !f %r!" =22.0 m
N! !f ce #l!cs = 22/(0.20.2)= 55
elf $ei' !f ce =( 55/22)(0.40.20.2/2)24 =0.48 KN/mr"
elf $ei' !f si&e $%ll #e$ee" !i"s A?B =2((0.20.42)/2)1.524=22.32 KN/mr"
!%l le"' #e$ee" A?B =0.45(1.5232)0.5 = 3.8 m
Assme e $ei' !f si&e $%lls "if!rml> &isri#e& %cr!ss e Ml%cis
e"ce e $ei' = (22.32 3.8)/22=3.86 KN/m r"
!%l $ei' =(18.260.483.86)=22.6 , 8.26 KN/mr"+ e"ce s%fe f!r lif
Ilif % =0
He"ce !%l lif !" e #%si" =((0.1910)/2)9.815 =4.68 KN/mr"
elf $ei' !f #%si" =50.224=24.0 KN/mr"
elf $ei' !f #%ffle #l!cs=(55/22)((0.10.4)/2)0.30.22524=1.0125KN/mr"
elf $ei' !f e"& sill=(((0.350.1)/2)0.252224)/22=1.35 KN/mr"
elf $ei' !f si&e $%lls=(2((0.20.431)/2)2.5524) =189.3 KN
Assme e $ei' !f si&e $%lls "if!rml> &isri#e& !er e #%si"
e"ce e $ei' = 189.3/22=8.6 KN/mr"
!%l $ei' !f #%si" =241.01251.358.6 =34.96 ,4.68 KN/mr"
e"ce e #%si" is s%fe fr!m lif ressre.
e* &$r )$e $& r!er :e
2"& %"ic %cr!ss e"'%%&%i *ier
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isi"' I/ sill 9.56 7.01
isi"' / sill 9.27 7.01
esi'"e& I/ sill 9.735 7.185
esi'"e& / sill 8.235 5.43
isi"' *ier #e& sl!e =(9.277.01)/3920 =0.00058
esi'"e& *ier #e& sl!e =(8.2357.1850)/3920 [email protected]+ e"ce s%fe f!r rier
er!si!".
De)/% $& "%#e!er >"
e"si> !f e%r =18 KN/m3
e"si> !f $%er=9.81 KN/m3
A"'le !f re!se=35 &e'ree
erim!se& l!%& !" e%r=5 KN/m2
eref!re effecie l!%& !f e%r=2.75/18 =2.97 m
H!ri:!"%l ressre fr!m e%r=18( 1i" 35)/(1i" 35)=4.88 KN/m3
Be"&i"'
s%> e cle%r c!er=40 mm+ %"& se R12 r/f
e"ce effecie &e+ &=431406=385 mm
K=
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De)/% $& M""!" A%*(#
esi'"e& #> "'.A.;.T%fer
ece& #>
*ec!mme"&e& #>
-
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Ar!e& #>
ONTENTS P%'e
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1) P!!'r%s
2) A"ic &e%ils
3) esi'" c%lcl%i!"
4) erific%i!"
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ANNING FORMULA
sc%r'e = G P =B2((1O2)0.5)
e%" Cel!ci> = C A =(BO)
e%" %re% = A r = A/P
& $i& = B C = (r0.6666)(0.5)/" + !r C = 1.486(r0.6666)(0.5)/"
ll l> &e = Cc =0.5477 ( 0.64) + !r Cc= 0.84 (0.64)
&e sl!e !f c%"%l (ss) = O G=AC
'!si> c!efficie" f!r e m%eri%l = " riic%l Cel!ci> *%i!+ C* =C/Cc = 0.9 ! 1.25
%"%l Be& sl!e =
ee& Perimeer = P > =0.0286 c.f/s/Ac = 1.9 li/s/H% = 1.0 c.f/s f!r 35 Acs.
>&r%lic me%" r%&is = r
ic%l Cel!ci> = Cc
T;e $& *"%" " Se $& "%" ss
r c%%e& 0.025 %"%ls !f c%%ci> ! %"& i"cl&i"' 100 c.f/s 1 !" 1.5
!c c%%e& 0.035 %"%ls !f c%%ci> !er 100 c.f/s 1 !" 2.0
!"cree Aer%'e 0.015 c%%i!" e%r c%"%ls f!r &r%i"s 2.0 !" 1
eme"
'%#le %re%+ % = 125Ac (!r) 52.083 H%
e'(re D)*"r/e r D(#; C Irr/":e "re"
"e$" Se*#$% Re*#"%/("r Se*#$% F$r Re*#"%/("r Se*#$% 0
Me#r* S*"e
TATION B- D- % S A)'.- ,- r- ?)'.-) ?*)'.-) ?R *(.-) r *1.2 0.45 1.5 0.025 0.00035 0.84375 2.822498 0.298937 0.334592 0.3285479 1.018397 0.28231211 0.09
60 6 2 0.025 0.0004 432 86.83282 4.975078 2.331185 1.7240884 1.352126 1007.072
40 4 2 0.025 0.0004 192 57.88854 3.316718 1.779075 1.3300291 1.337621 341.582467
Br#) S*"e
TATION B D % S A)'. , r ?)'.) ?*)'.) ?R *(.) r *
12 3.6 1.5 0.025 0.00035 62.64 24.97998 2.507608 2.052387 1.906834 1.076332 128.561523
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DESIGN OF ABUTMENT
(P2/2) = 5.045 KN
H1(m) = 0.9
H2(m) = 0.9
3.5
H3(m)= 0.9
H4(m) = 0.8
1.3 H5(m)= 1.3
H7(m) = 0.3 slice (1) slice (2) slice (3) slice (4) slice (5) slice (6)
Hf= 1.7 B1(m) B2(m) B3(m) B4(m) B5(m) B6(m) H6(m)
A
0.3 0.6 0.225 0.225 0.225 0.225 0.3
30.00 0.52 4.8 18.
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
5.76 5.00 1.7
K%0.333
P%(KN/m le"')
69.09
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
2.465
P(KN/m le"')
64.11
-ei' !f !"cree (KN/mle"')
1 72.22 0.00 0.6 43.332 22.30 3.65 1.0125 26.273 17.52 7.29 1.2375 30.714 12.74 10.94 1.4625 34.63
slice(7)B7(m)
+B%cfi
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m A (m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!m!me"
!e (KN
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5 8.50 14.18 1.6875 38.266 2.12 25.92 1.95 54.697 2.12 7.56 0.15 1.45
P2 5.05 0.6 3.03
B%cfill 69.09 1.60 110.
64.11 0.57 36.33
!%l 135.41 61.97 268.69 110.
H!ri:!"%l l!%&+ * = P% P = 4.98 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
18.51 1.5
P%ssiee%r
Pm%( KN/m2)
All!$%#le #e%ri"' c%%ci>!f s!il ( KN/m2)
A"'le !f frici!" #e$ee" e #%se %"&s!il+ (&e')
A"'le !f frici!" #e$ee"e #%se %"& s!il+ (r%&)
All!$%#le F%c!r f %fe>%'%i"s sli&i"'
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DESIGN OF ABUTMENT
( P1)/2 = 4.53 KN
H1(m) = 1.2
H2(m) = 0.6
3.5m H3(m)= 0.6
H4(m) = 0.6
H'(m)= 1.20
Be& leel
0.3m
H5(m)= 0.8
H7(m) = 0.9slice (2) slice (3) slice (4) slice (5) slice (6)
Hf= 1.7B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m)
!e
0.3 0.6 0.225 0.225 0.225 0.225 0.225
35.00 0.61 4.8 18.
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
5.76 5.00 1.7
slice(1)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f "er"%lFrici!" (r%&)
Hei' !f e $%ll+H(m)
-ei'B%cfi(KN
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
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K%
0.271
P%(KN/m le"')
56.16
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.692
P(KN/m le"')96.04
1 1.06 0.00 0.6 0.642 3.19 1.0125 13.893 5.31 7.29 1.2375 15.59
4 10.94 1.4625 15.995 14.18 1.6875 23.926 25.92 1.95 50.547 1.62 0.15 0.24
P1 4.53 2.72
B%cfill 56.16 1.50 84.
96.04 0.57 54.42
!%l 9.56 58.32 177.47 84.
H!ri:!"%l l!%&+ * = P% P = 39.88 KN/mle"'
*esl%" m!me" %#! !e+
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e %'%i"s sli&i"' = (*/*) %"
F%c!r f %fe> %'%i"s sli&i"'
0.79 1.5
1 1.06 12.15 2.025 26.2 3.19 10.53 1.65 22.3 5.31 8.91 1.2 17.4 7.43 7.29 0.975 14.5 9.56 5.67 0.825 12.6 11.68 4.05 0.675 10.7 13.81 2.43 0.525 8.8 16.99 0.00 0.375 6.
9 63.72 0.00 0.225 14.10 1.06 3.78 0.075 0.P1 19.44 4.35 84.%'%i"s sli&i"'
liceN!
-ei' !f !"cree(KN/mle"')
P!i" ;!%&(KN)
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!m!me"
!e (KN
P%ssiee%r
ressre
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B%se le"' + B=B1B2B3B4B5B6B7 B(m) B/2(m)
2.1 1.05
cce"rici>+ e = ;%B/2+ %"& e, B/3 ? e@ 2B/3
e (m) B/3 (m) 2B/3 (m) ;% (m)= 1.00 ,0.052264 0.7 1.4 @
e %'%i"s sli&i"'
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0.9
0.9
0
.9
H(m)
0.8
1.3
0.30.3
0 25.00 0.44
ll+
Acie e%r ressre c!efficie"+ K%= (1i")/(1i")
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+ P=(1/2)KHf2
c$ise%#!/mr")
-
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63/103
.54
.54
B/3
2B/3
-
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64/103
0.6 4.8 19.44
1.35 2.7 78.732
0.6m
H(m)
0.8m
0.90.9m
0 r%'eec%"%%$eS'm%il.c!m
0.6m
0.6m
0.6m
!fll+m3)
-
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4
0.566667
4
B/3
2B/3
c$ise%#!/mr")
-
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2.1 0.15 2.4
5 0.075 4.35
3 0.225
6 0.375
6 0.525
6 0.675
2 0.825
2 0.975
7 1.2
4 1.656 2.025 2.025
6 1.65
1.2
0.975
3 0.825
.48 0.675
0.525
0.375
0.225
0.075
c$ise%#!/mr")
-
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B/32B/3
-
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68/103
0 18.00
K%0.406
K=1/K%
2.465
P(KN/m le"')
64.11
+ +
-
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69/103
-
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70/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
71/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
72/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
73/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
74/103
DESIGN OF ABUTMENT
(P2/2) = 5.045 KN
H1(m) = 0.9
H2(m) = 0.9
3.5
H3(m)= 0.9
H4(m) = 0.8
1.3 H5(m)= 1.3
H7(m) = 0.3 slice (1) slice (2) slice (3) slice (4) slice (5) slice (6)
Hf= 1.6 B1(m) B2(m) B3(m) B4(m) B5(m) B6(m) H6(m)
A
0.3 0.6 0.225 0.225 0.225 0.225 0.3
30.00 0.52 4.8 18.
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
5.76 5.00 1.6
K%0.333
P%(KN/m le"')
69.09
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
3.001
P(KN/m le"')
56.79
-ei' !f !"cree (KN/mle"')
1 72.22 0.00 0.6 43.332 22.30 3.65 1.0125 26.273 17.52 7.29 1.2375 30.714 12.74 10.94 1.4625 34.63
slice(7)B7(m)
+B%cfi
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m A (m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!m!me"
!e (KN
-
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5 8.50 14.18 1.6875 38.266 2.12 25.92 1.95 54.697 2.12 7.02 0.15 1.37
P2 5.05 0.6 3.03
B%cfill 69.09 1.60 110.
56.79 0.53 30.29
!%l 135.41 61.97 262.57 110.
H!ri:!"%l l!%&+ * = P% P = 12.30 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
5.84 1.5
P%ssiee%r
Pm%( KN/m2)
All!$%#le #e%ri"' c%%ci>!f s!il ( KN/m2)
A"'le !f frici!" #e$ee" e #%se %"&s!il+ (&e')
A"'le !f frici!" #e$ee"e #%se %"& s!il+ (r%&)
All!$%#le F%c!r f %fe>%'%i"s sli&i"'
-
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DESIGN OF ABUTMENT
( P1)/2 = 4.53 KN
H1(m) = 1.2
H2(m) = 0.6
3.5m H3(m)= 0.6
H4(m) = 0.6
H'(m)= 1.20
Be& leel
0.3m
H5(m)= 0.8
H7(m) = 0.9slice (2) slice (3) slice (4) slice (5) slice (6)
Hf= 1.7B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m)
!e
0.3 0.6 0.225 0.225 0.225 0.225 0.225
30.00 0.52 4.8 18.
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
5.76 5.00 1.7
slice(1)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f "er"%lFrici!" (r%&)
Hei' !f e $%ll+H(m)
-ei'B%cfi(KN
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
-
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K%
0.333
P%(KN/m le"')
69.09
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%
2.465
P(KN/m le"')64.11
1 1.42 0.00 0.6 0.852 4.25 1.0125 18.523 7.08 7.29 1.2375 17.78
4 10.94 1.4625 15.995 14.18 1.6875 23.926 25.92 1.95 50.547 1.62 0.15 0.24
P1 4.53 2.72
B%cfill 69.09 1.50 103
64.11 0.57 36.33
!%l 12.74 58.32 166.41 103
H!ri:!"%l l!%&+ * = P% P = 4.98 KN/mle"'
*esl%" m!me" %#! !e+
-
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e %'%i"s sli&i"' = (*/*) %"
F%c!r f %fe> %'%i"s sli&i"'
6.66 1.5
1 2.12 24.30 2 52.2 4.25 14.04 1.75 32.3 7.08 11.88 1.55 29.4 9.91 9.72 1.35 26.5 12.74 7.56 1.15 23.6 15.58 5.40 0.95 19.7 18.41 3.24 0.75 16.8 21.24 1.08 0.55 12.
9 33.98 0.00 0.3 10.10 1.42 5.04 0.075 0.P1 0.00 0 0.%'%i"s sli&i"'
liceN!
-ei' !f !"cree(KN/mle"')
P!i" ;!%&(KN)
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!m!me"
!e (KN
P%ssiee%r
ressre
-
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B%se le"' + B=B1B2B3B4B5B6B7 B(m) B/2(m)
2.15 1.075
cce"rici>+ e = ;%B/2+ %"& e, B/3 ? e@ 2B/3
e (m) B/3 (m) 2B/3 (m) ;% (m)= 1.16 ,0.087706 0.7166667 1.43333 @
e %'%i"s sli&i"'
-
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0.9
0.9
0
.9
H(m)
0.8
1.3
0.30.3
0 25.00 0.44
5.4
-ei' !f m%ss c!"cree = 23.6 KN/m3
ll+
Acie e%r ressre c!efficie"+ K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+ P%=(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+ P=(1/2)KHf2
c$ise%#!/mr")
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
81/103
.54
.54
B/3
2B/3
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
82/103
0.6 4.8 19.44
1.7 2.7 78.732
0.6m
H(m)
0.8m
0.90.9m
0 25.00 0.44
0.6m
0.6m
0.6m
!fll+m3)
A"'le !f "er"%lFrici!" (&e')
A"'le !f "er"%lFrici!" (r%&)
Acie e%r ressre c!efficie"+ K%= (1
-
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.63
0.566667
.63
B/3
2B/3
i")/(1i") isi"' !il
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+ P=(1/2)KHf2
c$ise%#!/mr")
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
84/103
2.1 0.2 2.4
5 0.1 4.3
0 0.3
9 0.5
0 0.7
5 0.9
3 1.1
4 1.3
8 1.55
0 28 2.4 2.4
0 2
1.55
1.3
18 1.1
.39 0.9
0.7
0.5
0.3
0.1
0.2 0.15
0.09 0.09
0.18 0.14
0.30 0.23
0.42 0.32
c$ise%#!/mr")
-
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0.54 0.41
0.66 0.50
0.78 0.59
0.90 0.68
1.44 1.44
0.05 0.055.36 4.41
B/32B/3
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
86/103
4.8 18.00
K%0.406
P%(KN/m le"')
84.13
K=1/K%
2.465
P(KN/m le"')
56.79
+ +
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
87/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
88/103
4.8 18.00
K%
Hei' !f e $%ll+H(m)
-ei' !f B%cfill+(KN/m3)
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
89/103
0.406
K=1/K%
2.465
P(KN/m le"')64.11
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
90/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
91/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
92/103
DESIGN OF ABUTMENT
H1(m) =0.60.6m
H2(m) = 0.450.6m
1.2mH3(m)= 0.45
0.6m
H4(m) = 0.45 H(m)0
.6m
H'(m)= 1.20
Be& leel
1.7m
H5(m)= 0.45
2.5m
H7(m) = 0.3 slice (3) slice (4) slice (5) slice (6)
Hf= 1.2B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) =00.9m
!e
0.15 0.225 0.15 0.15 0.15 0.15 0
30.00 0.52 2.4 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
2.88 5.00 1.2
K%
0.333
P%(KN/m le"')17.27
-ei' !f m%ss c!"cree = 24 KN/m3
K=1/K%
2.465
P(KN/m le"')
31.94
-ei' !f !"cree (KN/mle"')
1 12.96 0.00 0.2625 3.402 6.48 1.62 0.45 3.653 4.86 2.84 0.6 4.624 3.24 4.05 0.75 5.475 1.62 5.27 0.9 6.206 0.00 0.00 0.975 0.007 1.08 2.43 0.075 0.26
B%cfill 17.27 0.80 13.82
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+H(m)
-ei' !fB%cfill+
(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#!
!e (KNm/mr")
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
93/103
31.94 0.40 12.78
!%l 29.16 13.77 36.37 13.82
P%ssiee%r
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
94/103
H!ri:!"%l l!%&+ * = P% P = 14.67 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
95/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
96/103
18.00
-ei' !f B%cfill+(KN/m3)
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
97/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
98/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
99/103
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
100/103
DESIGN OF ABUTMENT
H1(m) 0.45
H2(m) = 0.6
H3(m)= 0.3
Be& leelH4(m) = 0 H(m)
H'(m)= 0.45H5(m)= 0
H7(m) = 0.15slice (3) slice (4) slice (5) slice (6)
Hf= 0.3B1(m) B2(m) B3(m) B4(m) B5(m) B6(m)
H6(m) = 0
!e
0.15 0.2 0.15 0.15 0 0 0
30.00 0.52 1.35 18.00
Frici!" #e$ee" $%ll %"& s!il is "e'lece&
is%"ce #e$ee" e $%ll %"& *!%& + r (m) , 1.2H
All!$%#le+ r (m)
1.62 5.00 0.3
K%
0.333
P%(KN/m le"')
5.46
-ei' !f m%ss c!"cree = 23.6 KN/m3
K=1/K%3.001
P(KN/m le"')
8.10
-ei' !f !"cree (KN/mle"')
1 6.37 0.00 0.25 1.59
slice(1)
slice(2)
slice(7)B7(m)
A"'le !f "er"%lFrici!" (&e')
A"'le !f"er"%l Frici!"
(r%&)
Hei' !f e $%ll+H(m)
-ei' !fB%cfill+(KN/m3)
is%"ce #e$ee" e $%ll %"& *!%& +r (m)
e !ff!"&%i!"+ Hf(m)
Acie e%r ressre c!efficie"+K%= (1i")/(1i")
Acie e%r ressre "!rm%l ! #%c !f $%ll+P% =(1/2)KH2
P%ssie e%r ressre "!rm%l ! #%c !f $%ll+P =(1/2)KHf2
liceN!
-ei' !f #%cfill(KN/mle"')
H!ri:!"%lPressre(KN/m)
;eer Armfr!m !e
(m)
l!c$ise m!me"%#! !e
(KNm/mr")
A"il!c$isem!me" %#! !e
(KNm/mr")
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
101/103
2 3.19 1.22 0.425 1.873 1.06 2.84 0.575 2.244 0.00 0.00 0.65 0.005 0.00 0.00 0.65 0.006 0.00 0.00 0.65 0.007 0.53 0.81 0.075 0.10
B%cfill 5.46 0.45 2.46
8.10 0.10 0.81
!%l 10.62 4.05 6.62 2.46
H!ri:!"%l l!%&+ * = P% P = 2.64 KN/mle"'
*esl%" m!me" %#! !e+ %'%i"s sli&i"'
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
102/103
0.9
1.05
1.2
1.35
1.5
-
8/12/2019 Retaining Wall CRP PLN PSS 01 01
103/103