dp-1 ok
TRANSCRIPT
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concrete = 41 x 1,000,000 = 41,250,000 57%
reinforcement = 866 x 18,000 = 15,595,416 22%
bekisting = 15,595,416 22%
Rp 72,440,832 ,- /m'
reinforcement = 21 kg/m3-concrete
ber_lapar2_lah maka engkau akan dapat melihat_KU
fokuskan hidup_mu hanya untuk ber_ibadah kepada_KU,
maka engkau akan sampai kepada_KU !!!
tak mungkin cinta kepada_KU dan cinta kepada dunia,
bersanding dalam satu hati.
( Hadist Qudsi )
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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0.00 0.00
0.00 2.00
0.50 3.00
0.50 11.00
1.50 11.00
3.50 3.00
9.50 2.00
9.50 0.00
1 0.00 0.00
1 0.00 4.00
2 0.50 4.00
1 0.50 7.50
2 9.50 7.50
1 0.00 6.50
2 0.50 6.50
U su temporary baja
22 2,200 1,250 1,800 polos lunak 1,276
24 2,400 1,400 2,000 polos lunak 1,392
32 3,200 1,850 2,650 deform sedang 1,856
39 3,900 2,250 3,200 deform keras 2,262
48 4,800 2,750 4,000 deform keras 2,784
sa = 0.58 su
sa
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Lokasi : Randangan
Elevasi Dinding atas = m
- u u Elevasi Lantai = mMuka air tanah = mMuka air sungai = m Kondisi debit norma
Elevasi Pondasi = m h =
Dimensi (unit l
H = m B = m L =
a
b11 = m b12 = m b13 =
b21 = m b22 = m b23 =
h1 = m h31 = m h32 =
h4 = m hw1 = m hw2 =
Live load, q = t/m2 Kh =Tanah timbunan gc = t/m gw =
gsoil = t/m
gsat = m a = (untuk analisa st
f =o
a =o
(untuk analisa st
c = t/m2
b =o
Tanah fondasigs' = t/m Faktor aman (normal) (seis
fB = Guling e
Koefisien gesekan Daya dukung tanah fondasi
m = qmax >
Koefisien tekanan ke atas Tegangan ijin
Um = Beton tekan sca =Cover of bar Baja ssa =
Dinding Beton geser ta =
dback = cm Young's modulus ratio
dfront = cm
Kaki fondasidupper = cm
dlower = cm
9.50
4.00
35.0
6.00
11.00
Potongan Melintang
4.00
1
7
10
8.
B/3=
1.00
qa=qu/3 qae=
1.
0.55
10
10
1850
5.5
24
0.95
30.00
0.00
1.75
127
0.15
1.95
14.04
1.30
75
1.
1.
3.00
2.00
0.
2.00
B/6=1.83
0.50
1.00
7.50
15.00
8.0011.50
10.50
3.
11.00
1.
2.00 0.
2.40
6.
0.2
b12
H=h1
h31
b21 b23
q (t/m2)
h4
b11 b13
b22
h32
hw1
hw2
B
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STABILITY : D1 - Hulu
Normal Condition Seismic Condition
a) Stability against overturning a) Stability against overturning
|e| = m < B/6 = m OK! |e| = m < B/3 = m OK!
b) Stability against sliding b) Stability against sliding
Fs = > OK! Fs = > OK!
c) Reaction of foundation soil c) Reaction of foundation soil
q1 = t/m2
< qa = t/m2
OK! q1 = t/m2
< qae = t/m2
OK!
q2 = t/m2
< qa = t/m2
OK! q2 = t/m2
< qae = t/m2
OK!
0.55 1.58 1.39 3.17
17.91 59.22 9.31
1.35 1.25
88.83
26.77 59.22 34.53 88.83
16.95 2.00
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Stressing of Reinforcement and Concrete
Name of Structure :
Location :
Normal Condition Allowable compressive stress ( ca) = kg/cmAllowable tensile stress ( sa) = kg/cmAllowable shearing stress (a) = kg/cm
Young's modulus ratio =
Item
b (cm)
h (cm)
d1 (cm) back back
d2 (cm) front front
d (cm)
M (ton m)
S (ton)
Bar size and spacing (mm)
Bar (As1) D 22 - D 22 - D 22 -
Bar (As2) D 22 - D 22 - D 22 -
Stress c OK! OK!
Stress s OK! OK!
Stress OK! OK!
Seismic Condition Allowable compressive stress ( ca) = kg/cmAllowable tensile stress ( sa) = kg/cmAllowable shearing stress (a) = kg/cm
Young's modulus ratio =
Item
b (cm)h (cm)
d1 (cm)
d2 (cm)
d (cm)
M (ton m)
S (ton)
Bar size and spacing (mm)
Bar (As1) D 22 - D 22 - D 22 -
Bar (As2) D 22 - D 22 - D 22 -
Stress c OK! OK!
Stress s OK! OK!
Stress OK! OK!0.44 1.32 0.48
0.20 0.65 0.35
2775
Section A-A Section B-B Sectio
100.0
187.5
7.0
300
7.0
5.5
24
75
1850
100.0
300.0
10.0
180.5
4
4
300
D1 - Hulu
Randangan
10.0
100.0
300.0
10.0
10.0
290.0
3
10
113
293.0
52
19
150
Section of Retaining wall
7 0
207 75747
300
2
100.0 100.0 100.0
8.25
16
Section A-A Section B-B Sectio
7.0 7.0 10.0
187.5 300.0 300.0
180.5 293.0 290.0
10.0 10.0 10.0
8 39 14
10 113 4
Section of Retaining wall 300 300
300 150
5 18 1
476 1605 101
D C
BB
A A
CD
D C
BB
A A
CD
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St
1. Design Data
1.1 Dimensions
B = 9.50 m H = 11.00 m
L = 1.00 m (unit length)
b11 = 2.00 m b21 = 6.00 m
b12 = 1.00 m b22 = 3.00 m
b13 = 0.00 m b23 = 0.50 m
h1 = 11.00 m h4 = 4.00 m
h31 = 2.00 m hw1 = 7.50 m
h32 = 1.00 m hw2 = 6.50 m
1.2 Parameters
q = 0.50 t/m2(for normal condition)
= 0.00 t/m2(for seismic condition) Section of Retaining Wall
gc = 2.40 t/m
gw = 1.00 t/m
Backfill soil Foundation soil Safety factor
gsoil = 1.75 t/m gs' = 0.95 t/m (=gsat-gw) Overturning
gsat = 1.95 t/m cB = 0.00 t/m normal |e| 1.25
a = 1.300o
(for stability analysis) Reaction of foundation soil
= 14.036o
(for structural analysis) normal qmax
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Stability
(1) Vertical Load
No. Description W X W x X
1 2.00 x 6.00 x 2.40 28.800 6.500 187.20
2 3.00 x 3.00 x 2.40 21.600 2.000 43.20
3 2.00 x 0.50 x 2.40 2.400 0.250 0.60
4 0.50 x 1.00 x 6.00 x 2.40 7.200 5.500 39.60
5 0.50 x 1.00 x 0.50 x 2.40 0.600 0.167 0.10
6 0.50 x 8.00 x 2.00 x 2.40 19.200 2.833 54.40
7 8.00 x 1.00 x 2.40 19.200 1.000 19.20
8 0.50 x 8.00 x 0.00 x 2.40 0.000 0.500 0.009 0.50 x 8.00 x 2.00 x 1.75 14.000 2.833 39.67
10 6.00 x 3.50 x 1.75 36.750 6.500 238.88
11 6.00 x 4.50 x 1.95 52.650 6.500 342.23
12 0.50 x 6.00 x 1.00 x 1.95 5.850 7.500 43.88
q 0.50 x 8.00 4.000 5.500 22.00
T o t a l(1 to q) 212.250 1,030.96
Pu1 7.50 x 9.50 x 0.50 x -1.00 -35.625 6.333 -225.63
Pu2 6.50 x 9.50 x 0.50 x -1.00 -30.875 3.167 -97.77
Total ( 1 to Pu2) 145.750 707.56
(2) Horizontal Load
Coefficient of Active earth pressure
Ka =
(for stability analysis)
a = 1.300o
d = 0.000o
Cos2(f -a) = 0.692 Sin(f+d) = 0.574
Cos2a = 0.999 Sinf = 0.574
Cos(a+d) = 1.000 Cosa = 1.000
Ka = 0.280 for stability analysis
(for structural analysis)
a = 14.036o
d = 23.333o
Cos2
(f -a) = 0.872 Sin(f+d) = 0.851Cos
2a = 0.941 Sinf = 0.574
Cos(a+d) = 0.795 Cosa = 0.970
Ka' = 0.361 for structural analysis
Coefficient of Passive earth pressure
Kp =
a = 1.300o
d = 0.000o
Cos2(f+a) = 0.650 Sin(f+d) = 0.574
Cos2a = 0.999 Sinf = 0.574
Cos(a -d) = 1.000 Cosa = 1.000
Kp = 3.585
qa1 = Ka x q = 0.140 ton/m
qa2 = Ka x (h1- hw1) x gsoil = 1.713 ton/m
qa3 = qa1 + qa2 = 1.852 ton/m
qa4 = Ka x hw1x (gsat- gw) = 1.992 ton/m
qw 1 = hw1x gw = 7.500 ton/m
qw 2 = hw2x gw = 6.500 ton/m
qp1 = Kp x h4x (gsat- gw) = 13.624 ton/m
2
Cos2(f -a)
Cos2ax Cos(a+d) x 1+Sin(f+d) x Sinf
Cos(a+d) x Cosa
2
Cos2(f+a)
Cos2ax Cos(a -d) x 1 -Sin(f+d) x Sinf
Cos(a -d) x Cosa
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Stability8/
No. Description H Y H x Y
Pa1 0.140 x 3.50 0.489 9.250 4.53
Pa2 1.713 x 3.50 x 0.50 2.997 8.667 25.97
Pa3 1.852 x 7.50 13.892 3.750 52.10
Pa4 1.992 x 7.50 x 0.50 7.470 2.500 18.68
Pw1 7.500 x 7.50 x 0.50 28.125 2.500 70.31
Pw2 -6.500 x 6.50 x 0.50 -21.125 2.167 -45.77
Pp1 -13.624 x 4.00 x 0.50 -27.248 1.333 -36.32
T o t a l 4.601 89.49
(3) Stability Calculation
a) Stability against overturning
a) -1 Without Uplift
B = 9.50 m
SW x X - SH x Y 1,030.96 - 89.49
X = = = 4.436 m
SW 212.250
B 9.50
e = - X = - 4.436 = 0.314 m < B/6 = 1.583 m OK !
2 2
a) -2 With Uplift
B = 9.50 m
SW x X - SH x Y 707.56 - 89.49X = = = 4.241 m
SW 145.750
B 9.50
e = - X = - 4.241 = 0.509 m < B/6 = 1.583 m OK !
2 2
b) Stability against sliding
b)-1 Without Uplift
Sliding force : SH = 4.601 ton
Resistance : HR = mx SW = 0.55 x 212.250 = 116.738 ton
(friction coefficient : m= 0.55 )
HR 116.738
Fs = = = 25.374 > 2.00 OK !SH 4.601
b)-2 With Uplift
Sliding force : SH = 4.601 ton
Resistance : HR = mx SW = 0.55 x 145.750 = 80.163 ton
(friction coefficient : m= 0.55 )
HR 80.163
Fs = = = 17.424 > 2.00 OK !
SH 4.601
c) Reaction of foundation soil
SW 6 x e
q1,2 = x (1 + )
B B
212.250 6 x 0.314
q1 = x (1 + ) = 26.773 t/m2
< qa = 59.217 t/m2
OK !
9.50 9.50
212.250 6 x 0.314
q2 = x (1 - ) = 17.911 t/m2
< qa = 59.217 t/m2
OK !
9.50 9.50
17.911 t/m2
- t/m2
26.773 t/m2
- t/m2
in case, e > 0 in case, e < 0
(applicable) (not applicable)
Reaction of Foundation Soil in Case 1
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Stab
2.2 Case 2 (Normal condition, without vertical live load)
2.00
q = 0.50 t/m2
1.00
0.00
11.00 8.00
1.00
7.50
4.00 6.50
2.00
6.00 3.00 0.50
Acting Load in Case 2
(1) Vertical Load
No. Description W X W x X
1 2.00 x 6.00 x 2.40 28.800 6.500 187.202 3.00 x 3.00 x 2.40 21.600 2.000 43.20
3 2.00 x 0.50 x 2.40 2.400 0.250 0.60
4 0.50 x 1.00 x 6.00 x 2.40 7.200 5.500 39.60
5 0.50 x 1.00 x 0.50 x 2.40 0.600 0.167 0.10
6 0.50 x 8.00 x 2.00 x 2.40 19.200 2.833 54.40
7 8.00 x 1.00 x 2.40 19.200 1.000 19.20
8 0.50 x 8.00 x 0.00 x 2.40 0.000 0.500 0.00
9 0.50 x 8.00 x 2.00 x 1.75 14.000 2.833 39.67
10 6.00 x 3.50 x 1.75 36.750 6.500 238.88
11 6.00 x 4.50 x 1.95 52.650 6.500 342.23
12 0.50 x 6.00 x 1.00 x 1.95 5.850 7.500 43.88
T o t a l (1 to 12) 208.250 1008.96
Pu1 7.50 x 9.50 x 0.50 x -1.00 -35.625 6.333 -225.63
Pu2 6.50 x 9.50 x 0.50 x -1.00 -30.875 3.167 -97.77
Total ( 1 to Pu2) 141.750 685.56
(2) Horizontal Load
Coefficient of Active earth pressure
Ka = 0.280 (for stability analysis)
Ka ' = 0.361 (for structural analysis)
Coefficient of Passive earth pressure
Kp = 3.585
qa1 = Ka x q = 0.140 ton/m
qa2 = Ka x (h1- hw1) x gsoil = 1.713 ton/m
qa3 = qa1 + qa2 = 1.852 ton/mqa4 = Ka x hw1x (gsat- gw) = 1.992 ton/m
qw 1 = hw1x gw = 7.500 ton/m
qw2 = hw2x gw = 6.500 ton/m
qp1 = Kp x h4x (gsat- gw) = 13.624 ton/m
No. Description H Y H x Y
Pa1 0.140 x 3.50 0.489 9.250 4.53
Pa2 1.713 x 3.50 x 0.50 2.997 8.667 25.97
Pa3 1.852 x 7.50 13.892 3.750 52.10
Pa4 1.992 x 7.50 x 0.50 7.470 2.500 18.68
Pw1 7.500 x 7.50 x 0.50 28.125 2.500 70.31
Pw2 -6.500 x 6.50 x 0.50 -21.125 2.167 -45.77
Pp1 -13.624 x 4.00 x 0.50 -27.248 1.333 -36.32
T o t a l 4.601 89.49
Pw1 Pa4
Pa2
Pa1
qa2
qa3qw1 qa4
Pa3
O
9
Pp1
qa1
qp1
7
1
10
12
2 3
5
8
4
11
Pw2
qw2qu2 Pu2qu1
Pu1
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Stability10/
(3) Stability Calculation
a) Stability against overturning
a)-1 Without Uplift
B = 9.50 m
SW x X - SH x Y 1,008.96 - 89.49
X = = = 4.415 m
SW 208.250
B 9.50
e = - X = - 4.415 = 0.335 m < B/6 = 1.583 m OK !
2 2
a)-2 With Uplift
B = 9.50 m
SW x X - SH x Y 685.56 - 89.49
X = = = 4.205 m
SW 141.750
B 9.50
e = - X = - 4.205 = 0.545 m < B/6 = 1.583 m OK !
2 2
b) Stability against sliding
b)-1 without Uplift Pressure
Sliding force : SH = 4.601 ton
Resistance : HR = mx SW = 0.55 x 208.250 = 114.538 ton
(friction coefficient : m= 0.55 )
HR 114.538
Fs = = = 24.90 > 2.00 OK !
SH 4.601
b)-2 with Uplift Pressure
Sliding force : SH = 4.601 ton
Resistance : HR = mx SW = 0.55 x 141.750 = 77.963 ton
(friction coefficient : m= 0.55 )
HR 77.963
Fs = = = 16.95 > 2.00 OK !
SH 4.601
c) Reaction of foundation soil
SW 6 x e
q1,2 = x (1 + )
B B
208.250 6 x 0.335
q1 = x (1 + ) = 26.559 t/m2
< qa = 59.217 t/m2
OK !
9.50 9.50
208.250 6 x 0.335
q2 = x (1 - ) = 17.283 t/m2
< qa = 59.217 t/m2
OK !
9.50 9.50
17.283 t/m2
- t/m2
26.559 t/m2
- t/m2
in case, e > 0 in case, e < 0
(applicable) (not applicable)
Reaction of Foundation Soil in Case 2
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Stab
2.3 Case 3 (Seismic condition)
2.00
1.00
0.00
11.00 8.00
1.00
7.50
4.00 6.50
2.00
6.00 3.00 0.50
Acting Load in Case 3
(1) Vertical Load = Same as Case 2
(2) Horizontal Load
f = 35.00o
a = 1.300o
(for stability analysis) F = 13.275o
b = 0.00o
a = 14.036o
(for structural analysis) (F = Arc tan(Kh) )
q = 0.00 t/m2(for seismic condition) Kh = 0.24
Coefficient of Active earth pressure
Kae =
(for stability analysis)
a = 0.000 o d = 32.53 o
tan d = Sin f Sin ( F + D- b )
1 - Sin f Cos ( F + D- b )
sin D= Sin ( F + b )
Sin f
Sin (F+ b ) = 0.230 Sin f = 0.574
Sin D = 0.401 then D = 23.64
Sin(F+D-b) = 0.601 Cos(F+D-b)= 0.800
tand = 0.638
Cos2(f-F-a)= 0.863 Sin(f+d) = 0.924
CosF = 0.973 Sin(f-b-F) = 0.370
Cos2a = 1.000 Cos(a-b) = 1.000
Cos(a+d+F = 0.697
Kae = 0.440 (for stability analysis)
(for structural analysis)
a = 14.036o
d = 17.50o
Cos2(f-F-a)= 0.982 Sin(f+d) = 0.793
CosF = 0.973 Sin(f-b-F) = 0.370
Cos2a = 0.941 Cos(a-b) = 0.970
Cos(a+d+F)= 0.709
2
Cos2(f-F-a)
CosFx Cos2ax Cos(a+d+F) x 1+Sin(f+d)x Sin(f-b-F)
Cos(a+d+F) x Cos(a-b)
Pa1
qa1
qa2qa3qw1
Pa2
Pa3Pw1
O
7
1
10
12
9
2 3
5
8
4
11
Pw2
qw2
Pp1
qp1Pu1
qu2 Pu2qu1
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Stability12
Kae = 0.554 (for structural analysis)
Coefficient of Passive earth pressure
Kpe =
a = 0.000o
d = 32.53o
Cos2(f-F+a)= 0.863 Sin(f-d) = 0.043
CosF = 0.973 Sin(f+b-F) = 0.370
Cos2a = 1.000 Cos(a-b) = 1.000
Cos(a+d-F)= 0.944
Kpe = 1.241
qa1 = Kae x ( h1- hw1) x gsoil = 2.695 ton/m
qa2 = qa2 = 2.695 ton/m
qa3 = Kae x hw1x (gsat- gw) = 3.135 ton/m
qw 1 = hw1x gw = 7.500 ton/m
qw 2 = hw2x gw = 6.500 ton/m
qp1 = Kp x h4x (gsat- gw) = 4.716 ton/m
No. Description H Y H x Y
1 0.24 x 28.80 6.795 1.000 6.79
2 0.24 x 21.60 5.096 1.500 7.64
3 0.24 x 2.40 0.566 1.000 0.57
4 0.24 x 7.20 1.699 2.333 3.96
5 0.24 x 0.60 0.142 2.333 0.33
6 0.24 x 19.20 4.530 5.667 25.67
7 0.24 x 19.20 4.530 7.000 31.71
8 0.24 x 0.00 0.000 5.667 0.00
Pw1 0.50 x 7.50 x 7.50 28.125 2.500 70.31
Pw2 0.50 x -6.50 x 6.50 -21.125 2.167 -45.77
Pa1 0.50 x 2.70 x 3.50 4.716 8.667 40.87
pa2 2.70 x 7.50 20.213 3.750 75.80
Pa3 0.50 x 3.135 x 7.50 11.756 2.500 29.39
Pp1 -4.716 x 4.00 x 0.50 -9.432 4.000 -37.73T o t a l 57.611 209.56
(3) Stability Calculation
a) Stability against overturning
a)-1 Without Uplift
B = 9.50 m
SW x X - SH x Y 1,008.96 - 209.56
X = = = 3.839 m
SW 208.250
B 9.50
e = - X = - 3.839 = 0.911 m < B/3 = 3.167 m OK !
2 2
a)-2 With Uplift
B = 9.50 m
SW x X - SH x Y 685.56 - 209.56
X = = = 3.358 m
SW 141.750
B 9.50
e = - X = - 3.358 = 1.392 m < B/3 = 3.167 m OK !
2 2
2
Cos2(f-F+a)
CosFx Cos2ax Cos(a+d-F) x 1-Sin(f-d)x Sin(f+b-F)
Cos(a+d-F) x Cos(a-b)
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Stability13
b) Stability against sliding
b)-1 Without Uplift
Sliding force : SH = 57.611 ton
Resistance : HR = mx SW = 0.55 x 208.250 = 114.538 ton
(friction coefficient : m= 0.55 )
HR 114.538
Fs = = = 1.99 > 1.25 OK !
SH 57.611
b)-2 With Uplift Sliding force : SH = 57.611 ton
Resistance : HR = mx SW = 0.55 x 141.750 = 77.963 ton
(friction coefficient : m= 0.55 )
HR 77.963
Fs = = = 1.35 > 1.25 OK !
SH 57.611
c) Reaction of foundation soil
c-1) in case, |e| < B/6 (applicable)
SW 6 x e
q1,2 = x (1 + )
B B
208.250 6 x 0.911
q1 = x (1 + ) = 34.534 t/m2
< qae = 88.825 t/m2
OK !
9.50 9.50
208.250 6 x 0.911
q2 = x (1 - ) = 9.308 t/m2
< qae = 88.825 t/m2
OK !
9.50 9.50
c-2) in case, B/6 < |e| < B/3 (not applicable)
2 x SW
q1' = = = - t/m2
qae = - t/m2
3 x (B/2-|e|)
9.308 t/m2
34.534 t/m2
- t/m2
in case, e > 0 and e < B/6 in case, e > 0 and B/6 < e < B/3
(applicable) (not applicable)
- t/m2
- t/m2
- t/m2
in case, e < 0 and |e| < B/6 in case, e < 0 and B/6 < |e| < B/3
(not applicable) (not applicable)
Reaction of Foundation Soil in Case 3
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Stability14
2.4 Bearing Capacity of soil
(1) Design Data
fB = 30.00o cB = 0.00 t/m gs' = 0.95 t/m (=gsat-gw)
B = 9.50 m z = 4.00 m L = 1.00 m (unit length)
(2) Ultimate Bearing Capacity of soil, (qu)
Calculation of ultimate bearing capacity will be obtained by applying the following
Terzaghi's formula :
qu = (ax c x Nc) + (gsoil' x z x Nq) + (bx gsoilx B x Ng)
Shape factor (Table 2.5 of KP-06)
a = 1.00 b = 0.50
Shape of footing : 1 (strip)
Shape of footing a b
1 strip 1.00 0.50
2 square 1.30 0.40
3 rectangular, B x L 1.11 0.40
(B < L) (= 1.09 + 0.21 B/L)
(B > L) (= 1.09 + 0.21 L/B)
4 circular, diameter = B 1.30 0.30
Bearing capacity factor (Figure 2.3 of KP-06, by Capper)
Nc = 36.0 Nq = 23.0 Ng = 20.0
f Nc Nq Ng
0 5.7 0.0 0.0
5 7.0 1.4 0.0
10 9.0 2.7 0.2
15 12.0 4.5 2.3
20 17.0 7.5 4.7
25 24.0 13.0 9.5
30 36.0 23.0 20.0
35 57.0 44.0 41.0
37 70.0 50.0 55.0
39 > 82.0 50.0 73.0
(ax c x Nc) = 0.000
(gsoilx z x Nq) = 87.400
(bx gsoilx B x Ng) = 90.250
qu = 177.650 t/m2
(3) Allowable Bearing Capacity of soil, (qa)
qa = qu / 3 = 59.217 t/m2
(safety factor = 3 , normal condition)
qae = qu / 2 = 88.825 t/m2
(safety factor = 2 , seismic condition)
187568489.xls.ms office-11/11/2013
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Structur
3. Structure Calculation
3.1 Normal Condition
(1) Wall 2.00
q = 0.50 t/m2
1.00
0.00
8.00
4.50 3.50
1.00
2.00 2.00
6.00 3.00 0.50
Load Diagram on Wall in Normal Condition
Ka = 0.361
a = 14.036o
d = 23.33o
cos (a+d) = 0.795
Kha = Ka x cos (a+d) = 0.287
a) Section A - A
h = 3.50 m
qa1 = Khax q = 0.144 ton/m
qa2 = Khax h x gsoil = 1.759 ton/m
No. Description Ha Y (from A-A) Ha x Y
Pa1 0.144 x 3.50 0.503 1.750 0.880
Pa2 1.759 x 3.50 x 0.50 3.079 1.167 3.592
T o t a l 3.581 4.471
Sa = 3.581 ton Ma = 4.471 ton m
b) Section B - B
h = 3.50 m hw1 = 4.50 m hw2 = 3.50 m
qa1 = Khax q = 0.144 ton/m
qa2 = Khax h x gsoil = 1.759 ton/m
qa3 = qa1 + qa2 = 1.903 ton/m
qa4 = Khax hw2x (gsat- gw) = 1.228 ton/m
qw1 = hw1x gw = 4.500 ton/m
qw2 = hw2x gw = 3.500 ton/m
No. Description Hb Y (from B-B) Ha x Y
Pa1 0.144 x 3.50 0.503 6.250 3.142
Pa2 1.759 x 3.50 x 0.50 3.079 5.667 17.446
Pa3 1.903 x 4.50 8.563 2.250 19.267
Pa4 1.228 x 4.50 x 0.50 2.763 1.500 4.144
Pw1 4.500 x 4.50 x 0.50 10.125 1.500 15.188
Pw2 -3.500 x 3.50 x 0.50 -6.125 1.167 (7.146)
T o t a l 18.907 52.040
Sb = 18.907 ton Mb = 52.040 ton m
qa1
qa4 qa3qw1
Pw1 Pa4
Pa2
Pa1
qa2
Pa3 B
A
B
A
Pw2
qw2
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Stru
(2) Footing
Case 1 (with vertical live load) Case 2 (without vertical live load)
q = 0.50 t/m2
q = 0.50 t/m2
3.50 3.50
4.50 4.50
1.00 1.00
2.00 2.00
6.00 3.00 0.50 6.00 3.00 0.50
in case, e > 0 in case, e > 0
17.911 t/m2
17.283 t/m2
23.508 t/m2
23.142 t/m2
26.307 t/m2
26.071 t/m2
26.773 t/m2
26.559 t/m2
in case, e < 0 in case, e < 0
- t/m2
- t/m2
- t/m2
-
- t/m2
- t/m2
- t/m2
-
Load Diagram on Footing in Normal Case
a) Section C - C
Case 1 (with vertical live load)
No. Description Hc X (from C-C) Hc x X
1 2.000 x 0.50 x 2.40 2.400 0.250 0.600
1.000 x 0.50 x 2.40 x 0.50 0.600 0.167 0.100
2 -26.307 x 0.50 -13.153 0.250 -3.288
-0.466 x 0.50 x 0.50 -0.117 0.333 -0.039
T o t a l -10.270 -2.627
Case 2 (without vertical live load)
No. Description Hc X (from C-C) Hc x X
1 2.000 x 0.50 x 2.40 2.400 0.250 0.600
1.000 x 0.50 x 2.40 x 0.50 0.600 0.167 0.100
2 -26.071 x 0.50 -13.035 0.250 -3.259
-0.488 x 0.50 x 0.50 -0.122 0.333 -0.041
T o t a l -10.157 -2.600
Case 1 Sc = -10.270 ton Mc = -2.627 ton m
Case 2 Sc = -10.157 ton Mc = -2.600 ton m
1
1
C
C
D
D
4
3
26
1
C
C
D
D
3
4
3 1 3
4
5
4
62 2
6
26
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Structure
b) Section D - D
Case 1 (with vertical live load)
No. Description Hd X (from D-D) Hd x Y
3 2.000 x 6.00 x 2.40 28.800 3.000 86.400
1.000 x 6.00 x 2.40 x 0.50 7.200 2.000 14.400
4 3.500 x 6.00 x 1.75 36.750 3.000 110.250
4.500 x 6.00 x 1.95 52.650 3.000 157.950
1.000 x 6.00 x 1.95 x 0.50 5.850 4.000 23.400
5 0.500 x 6.00 3.000 3.000 9.000
6 -17.911 x 6.00 -107.466 3.000 -322.398
-5.597 x 6.00 x 0.50 -16.791 2.000 -33.582
T o t a l 9.993 45.420
Case 2 (without vertical live load)
No. Description Hd X (from D-D) Hd x Y
3 2.000 x 6.00 x 2.40 28.800 3.000 86.400
1.000 x 6.00 x 2.40 x 0.50 7.200 2.000 14.400
4 3.500 x 6.00 x 1.75 36.750 3.000 110.250
4.500 x 6.00 x 1.95 52.650 3.000 157.950
1.000 x 6.00 x 1.95 x 0.50 5.850 4.000 23.400
6 -17.283 x 6.00 -103.698 3.000 -311.094
-5.859 x 6.00 x 0.50 -17.576 2.000 -35.151
T o t a l 9.976 46.155
Case 1 Sd = 9.993 ton Md = 45.420 ton m
case 2 Sd = 9.976 ton Md = 46.155 ton m
3.2 Seismic Condition
(1) Wall 2.00
1.00
0.00
8.009.00
4.50 3.50
1.00
2.00 2.00
6.00 3.00 0.50
Load diagram on Wall for Seismic case
Kae = 0.554
a = 14.036o
d = 17.50o
cos (a+d) = 0.852Khea = Kae x cos (a+d) = 0.472 Kh = 0.24
a) Section A - A
h = 3.50 m
qa1 = Khaex h x gsoil = 2.892 t/m
No. Description Hae Y (from A-A) Hae x Y
1 0.500 x 3.500 x 0.875 x 2.400 x 0.236 0.867 1.167 1.012
2 3.500 x 1.000 x 2.400 x 0.236 1.982 1.750 3.468
3 0.500 x 3.500 x 0.000 x 2.400 x 0.236 0.000 1.167 0.000
Pa1 2.892 x 3.500 x 0.500 5.061 1.167 5.905
T o t a l 7.910 10.385
Sae = 7.910 ton Mae = 10.385 ton mb) Section B - B
2
Pa2
Pa1
qa2
qa1
qa3
Pa3
A A
B B
1 3
Pw1 Pw2
qw2qw1
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Stru
h = 3.50 m hw1 = 4.50 m hw2 = 3.50 m
qa1 = Khaex h x gsoil = 3.393 t/m
qa2 = qa1 = 3.393 t/m
qa3 = Khaex hw1x ( gsat - gw) = 2.019 t/m
qw1 = hw1x gw = 4.500 ton/m
qw2 = hw2x gw = 3.500 ton/m
No. Description Hbe Y (from B-B) Hbe x Y
Pa1 3.393 x 3.50 x 0.50 5.938 5.667 33.650
Pa2 3.393 x 4.50 15.270 2.250 34.357
Pa3 2.019 x 4.50 x 0.50 4.542 1.500 6.813
Pw1 4.500 x 4.50 x 0.50 10.125 1.500 15.188
Pw2 -3.500 x 3.50 x 0.50 -6.125 1.167 -7.146
1 0.500 x 8.00 x 2.00 x 2.40 x 0.24 4.530 2.667 12.080
2 8.000 x 1.00 x 2.40 x 0.24 4.530 4.000 18.120
3 0.500 x 8.00 x 0.00 x 2.40 x 0.24 0.000 2.667 0.000
T o t a l 38.809 113.060
Sbe = 38.809 ton Mbe = 113.060 ton m
(2) Footingin case, e < B/6 in case, B/6 < e < B/3
3.50 3.50
4.50 4.50
1.00 1.00
2.00 2.00
6.00 3.00 0.50 6.00 3.00 0.50
in case, e > 0 ande < B/6 in case, e > 0 and B/6 < e < B/3
9.308 t/m2
- t/m2
25.240 t/m2
33.206 t/m2
- t/m2
34.534 t/m2
- t/m2
in case, e < 0 and |e| < B/6 in case, e < 0 and B/6 < |e| < B/3
- t/m2
- t/m2
- t/m2
-
- t/m2
- t/m2
- t/m2
Load Diagram on Footing in Seismic Case
D
1
1
C
C
D
D
2
4
5
3 1
C
C
D
D
2
3
4
3 1 3
4 4
6
62
2
6
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Structure19/
a) Section C - C
No. Description Hce X (from C-C) Hce x X
1 2.000 x 0.50 x 2.40 2.400 0.250 0.600
1.000 x 0.50 x 2.40 x 0.50 0.600 0.167 0.100
2 -33.206 x 0.50 -16.603 0.250 -4.151
-1.328 x 0.50 x 0.50 -0.332 0.333 -0.111
T o t a l -13.935 -3.561
Sce = -13.935 ton Mce = -3.561 ton m
b) Section D - D
No. Description Hde X (from D-D) Hde x X
3 2.000 x 6.00 x 2.40 28.800 3.000 86.400
1.000 x 6.00 x 2.40 x 0.50 7.200 2.000 14.400
4 8.000 x 6.00 x 1.86 89.400 3.000 268.200
1.000 x 6.00 x 1.95 x 0.50 5.850 4.000 23.400
5 -9.308 x 6.00 -55.848 3.000 -167.544
-15.932 x 6.00 x 0.50 -47.797 2.000 -95.593
T o t a l 27.605 129.263
Sde = 27.605 ton Mde = 129.263 ton m
3.3 Design Bending Moment and Shear Force
(1) Bending moment and shear force in each case
Description Bending Moment Shear Force
Normal Seismic Normal Seismic
Case 1 Case 2 Case 3 Case 1 Case 2 Case 3
Section A - A 4.471 4.471 10.385 3.581 3.581 7.910
Section B - B 52.040 52.040 113.060 18.907 18.907 38.809
Section C - C 2.627 2.600 3.561 10.270 10.157 13.935
Section D - D 45.420 46.155 129.263 9.993 9.976 27.605
(2) Design bending moment and shear force
Description Bending Moment Shear Force
Normal Seismic Normal Seismic
Section A - A 4.471 10.385 3.581 7.910
Section B - B 52.040 113.060 18.907 38.809
Section C - C 2.627 3.561 10.270 13.935
Section D - D 46.155 113.060 9.993 27.605
Notes: - Moment at Section C-C < Moment at Section B-B
- Moment at Section D-D < Moment at Section B-B
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Reinforcement Bar Arrangement and Stress
Normal ConditionName of Structure : D1 - Hulu
Location : Randangan
Wall (upper) Wall (lower) Footing (toe)
Section A-A Section B-B Section C-C
back front back front lower upper
Bending moment M kgfcm 447,148 5,204,020 262,719 4
Shearing force (joint) S kgf 3,581 18,907 10,270
Axial force N kgf 0 0 0
Height of member h cm 187.5 300.0 300.0
Covering depth d' cm 7.0 7.0 10.0
Effective height d cm 180.5 293.0 290.0
Effective width b cm 100.0 100.0 100.0
Young's modulus ratio n - 24 24 24
Required R-bar Asreq cm2 1.42 10.23 0.51
R-bar arrangement 22~300 22~300 22~150 22~300 22~300 22~300 2
Reinforcement As cm2 12.67 12.67 25.34 12.67 12.67 12.67
Perimeter of R-bar U 23.04 ok 46.08 ok 23.04 ok
Dist. from neutral axis x cm 30.23 53.93 39.07
Compressive stress sc kgf/cm2 1.7 7.0 0.5
Allowable stress sca kgf/cm2 75.0 75.0 75.0
ok ok ok
Tensile stress ss kgf/cm2 207.1 746.7 74.9
Allowable stress ssa kgf/cm2 1850.0 1850.0 1850.0
ok ok ok
Shearing stress at joint t kgf/cm2 0.20 0.65 0.35
Allowable stress ta kgf/cm2 5.50 5.50 5.50
ok ok ok
Resisting Moment Mr kgfcm 2,885,222 10,108,045 4,264,120 10
Mr for compression Mrc kgfcm 8,110,621 26,823,667 15,693,842 26
x for Mrc cm 22.329 41.767 28.125
ss for Mrc kgf/cm2 6608.3 6180.5 8323.5
Mr for tensile Mrs kgfcm 2,885,222 10,108,045 4,264,120 10
x for Mrs cm 25.187 47.461 31.017
sc for Mrs kgf/cm2 24.5 26.6 18.8
Distribution bar (>As/6 and >Asmin) 2.11 2.11 4.22 2.11 2.11 2.11
16~300 16~300 16~300 16~300 16~300 16~300 1
Reinforcement As cm2 6.70 6.70 6.70 6.70 6.70 6.70
ok ok ok ok ok ok
Minimum requirement of distribution bar As min = 4.50 cm2
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Reinforcement Bar Arrangement and Stress
Seismic ConditionName of Structure : D1 - Hulu
Location : Randangan
Wall (upper) Wall (lower) Footing (toe)Section A-A Section B-B Section C-C
back front back front lower upper
Bending moment M kgfcm 1,038,452 11,306,035 356,143 11
Shearing force (joint) S kgf 7,910 38,809 13,935
Axial force N kgf 0 0 0
Height of member h cm 187.5 300.0 300.0
Covering depth d' cm 7.0 7.0 10.0
Effective height d cm 180.5 293.0 290.0
Effective width b cm 100.0 100.0 100.0
Young's modulus ratio n - 16 16 16
Required R-bar Asreq cm2 2.17 14.65 0.46
R-bar arrangement 22~300 22~300 22~150 22~300 22~300 22~300 2
Reinforcement As cm2 12.67 12.67 25.34 12.67 12.67 12.67
Perimeter of R-bar U 23.04 46.08 23.04
Dist. from neutral axis x cm 25.10 44.86 32.32
Compressive stress sc kgf/cm2 4.8 18.1 0.8
Allowable stress sca kgf/cm2 112.5 112.5 112.5
ok ok ok
Tensile stress ss kgf/cm2 476.1 1604.5 100.7
Allowable stress ssa kgf/cm2 2775.0 2775.0 2775.0
ok ok ok
Shearing stress at joint t kgf/cm2 0.44 1.32 0.48
Allowable stress ta kgf/cm2 8.25 8.25 8.25
ok ok ok
Resisting Moment Mr kgfcm 4,181,747 14,631,463 6,158,619 14
Mr for compression Mrc kgfcm 10,309,299 33,907,690 19,422,528 33
x for Mrc cm 18.654 34.848 23.234
ss for Mrc kgf/cm2 8280.8 7734.9 10313.9
Mr for tensile Mrs kgfcm 4,181,747 14,631,463 6,158,619 14
x for Mrs cm 20.582 38.691 25.179
sc for Mrs kgf/cm2 42.6 46.0 33.3
Distribution bar (>As/6 and >Asmin) 16~300 16~300 16~300 16~300 16~300 16~300 1
Reinforcement As cm2 6.70 6.70 6.70 6.70 6.70 6.70
Minimum requirement of distribution bar As min = 4.50 cm2
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( )
+
D22~300D22~300
D16~300
D16~300
D22~150 D22~300
D16~300
D16~300
D16~300 D16~300
D22~150 D22~300
+
+
D22~300
D16~300 D22~300 D16~300
concrete = m3reinforcement = kg
= kg/m3
2.00
8.00
Reinforcement Bar ArrangementD1 - Hulu
2.00 1.00 0.00
0.50
15.00
4.00
1.00
Randangan
7.50
3.50
21
41866
Section of Retaining wall
3.00
9.50
11.00
6.00
D
A A
B BC
CD
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12th Oct, Stability Analysis
Uplift pressure are added for stability analysis.
Reinforcement Bar Arrangement
Reinforcement bar for Footing (heel) are collected.
Jan. 7, '03 Stability
Calculation formula in case of (B/6 < e < B/3) under seismic condition are corrected.
(distributed width of reaction of foundation soil)
Structure
Calculation formula in case of (B/6 < e < B/3) under seismic condition are corrected.
(distributed width of reaction of foundation soil)