CALCULATION DESIGN OF FOUNDATION FOUNDATION 150 kV TRANSMISSION LINE OF KALTENG-1 2X100 MW 4DD6 CLASS 7W DATA TEKNIS PERENCANAAN
Mutu Beton f'c fy g eton g tana* qcrata -rata Koe!"en ge!er b1 $! ec %e&"mut Beton on(a!" %e&"mut Beton Ko&om
= = = = = = = = = = = =
K225 225 400 2.40 1.60 22.30 0.45 0.#5 210000 0.003 )5.00 )5.00
%u(ut ge!er (a&am tana*
=
0.00
DATA BEBAN
= = = =
+aya ,atera& +aya ekan +aya ar"k
kg/cm2 Mpa t/m3 t/m3 kg/cm2
Mpa mm mm 0
33.62 ton 16.46 ton 132.36 ton
DIMENSI PONDASI
,ear &engan pe&at 1 1 ,ear &engan pe&at 2 2 ea& e&at a ,ear !&a * ea& !&a f a&am pon(a!" (f
= = = = = =
6.3 3.15 0.6 3.5 0.) 4
m m m m m m
Kem"r"ngan !tu a) "ngg" *ymey (" ata! tana* *t "ngg" *ymney , ,ear *ymney ,ear &engan !&a g Back to Back Kengg"an ma ko&om
= = = = = = =
#1.16 0.4 3.13)2) 1 1.25 16.22) 3
m m m m m m
= =
3.13)2) m m3 3 ).5244 to ton
= =
32.3# m3 )).)336 to ton
0
BERAT PONDASI
1 Berat Berat ko&om ko&om 7o&ume Ko&om Berat ko&om 2 Berat Berat pe&at pe&at 7o&ume pe&at Berat e&at BERAT TANAH
Berat tana* !eaga" pena*an gaya 8p &"9 :!u ("mo(e&kan !eaga" entuk ,"ma! %eg"empat terpancung b'
b' " ! b1 b1
anDang !"!" ata! ' = 1 < 2 (f tan f 7o&ume ,"ma! erpancung 7!u;
=
Vsu=1/3times ital df times left (b1 rSup {size8{2} } +b'rSup { size 8{2}}}} + sqrt {b1 rSup {size 8{2}} timesb'rSup {size8{2} } } right )}{}{
6.30 m
=
15#.)6 m3
= =
123.23 m3 11).0) ton
¿
ota& 7o&ume ana* 7!u = 7!u; - 7tota& Berat ana* ana* untuk 8p &"9 :!u = g tana* 7!u KONTROL PONDASI K#$% %(&)**+ ,** UPLIFT .T/
u = :p < :!u u/1.5
= =
202.34 ton 134.# ton
132.36 ton
OK
K#$% T(&)**+ G/$, Momen Resistance (MR)
- Mrconc = :p &engan - Mr!o"& = :!u &engan ("mana > &engan = 1/2
= 26#.5)#6 ton.m = 36#.))6 ton.m = 3.15 m
Momen Guling (MG)
- M = (f - Momen ta*anan ak"at gaya tekan pa!"f tana*
= 13 134.4661 ton.m
p = 0.5 (f 2 gtana* Kp Mp = p (f 1/3 - M+ re!u&t = M - Mp - %? = M@/M+ 2
= 12.# = 1).0666) = 11).34 = 5. 5.42#51
ton ton.m ton.m 2
=
kg /cm2
OK
K#$% T(&)**+ D** D/k/$, T*$*) .B(*&$, C*+*%
qa&& = qcrata-rata /30
ex = ey =
M N
1.11
=
11.15
ton/m2
= .03#0) ton/m2
A
11.15
ton/m2
OK
=
A
11.15
ton/m2
OK
= 0.62)6# m
smak! sm"n
N 6 ex 6 ey σ = ( 1± ± ) A L B
-1.36442 ton/m2
("mana >
s = egangan tana* ak"at gaya-gaya &uar t/m 2 = +aya-Cerka& yang ekerDa pa(a pon(a!" ton H = ,ua! tapak pon(a!" m 2 ,EB = anDang (an &ear pon(a!" eEey= $k!entr"!"ta! ara* (an y K#$% T(&)**+ G** L*%(&*
Fs= δ
x
N >1 ! H
= 2.26#45
1.5
OK
("mana > d = koe!"en ge!er K#$% T(&)**+ G(3(& 1 A&*) 500
d
(! = %e&"mut eton < /2 ( = -(! a = ,/2 - /2 - ( sa = smin+(L-a).( smaks- smin)/L
a
= = = =
#4.50 12 1 215.5 34.5 ).2)3
mm mm mm = k/m2
0.0345
m
d ds L
min a
max
Gaya tekan ke atas dari tanah (Vu) 7u = B.a.F!uneGo < Hq1
h
= 1243))) = 0.212)4 Mpa
.gtana* a'.geton
=
43200 /m2
=
0.0432 /mm2
=
31200 /m2
=
0.0312 /mm2
d
b
Gaya geser yang dapat ditahan beton ( f.Vc)
f.Vc = f.√f'c.B.d/6 Vu < f.Vc 1E+06 < 2E+06
=
OK
2522460
=
2522.455 k
K#$% T(&)**+ G(3(& 2 A&*) L / 2
L / 2
i!ens i!ensii ko"o! ko"o!## b = $$$ !! b + d = h + d = $$ $$$ + $$ $ $$ d B
b d
d
h
=
-. = hk / bk =
d
2215.5 mm
=
2.2155 m
Gaya tekan ke atas (gaya geser pons) % Vu= &' * (b+d (b+d) )(h+ (h+d d Qsunetto = 2E+06 = 1, 6 2 k 1
bo= 2 &(bk &(bk + d) d) + (hk (hk + d) d) = 6 2 !! d ds
Gaya geser yang ditahan o"eh beton ( f . Vc):
L
min max
V. = (1+(2/-.) ( Ö f'c bo d ) / 6 = 2,,33 = 2,,33 k = 2 , , 3 k V. = (2 + (as . d) / (bo)).( Ö f'c = 2 6 04 6 11 1 = 2 6 04 6 k
bo d ) / 12
V. = 1/4 Ö f'c bo d = 1 3 04 1 6, 0 = 1 3 04 2 k ipi"ih V. terke.i" f.7c =
130 042 k 0.)5 . 13 = 12))3.)4 k
7u A f.7c
OK
Cek Kelangsingan Struktur KxL r
< 22
23.5#1)# A
r = 0.3 K = 2 kan&eCer
r K
Jp(!t& = 1/12 3
= =
Jp(!t& =
0.5
$c = 4)00 f'c Jp(!t& $c
$c
22
300 2
mm
#$<10
mm4
.K(*$,3$,*$ .K(*$,3$,*$ b(&+($,*&/)
= 2224.06 Mpa =
2$<15
mm2
=
2$<12
kmm2
=
1
Faktor pembesar momen ( ) δ =
Cm Pu 1− φ × Pc
d
"mana > m = 1 kon!erCaf u = j = 0.65 c = p2 Jp(!t& $c / k , 2
³ 1.00
Ok
m = 1 u = 16.4642 ton 0.65 j = c
= 4.66$<11 ton
Penulangan Pedestal
M1 = , M2 = em"n Mt = M1 < M2 M = d Mt Mnper&u = M/j
M1
=
M2 Mt M
= ).625# ton.m = 11 1 13.0# ton.m = 113.0# ton.m
1 05.464 ton.m 10
Mnper&u = 1)3.#44 ton.m nper&u = 260.)142 ton
nper&u = /j Ek3($%&3%*3 4
e = Mn per&u/nper&u
e em"n
em"n = 15 < 0.03 %yarat > e e m"n
= 66).33)6 m mm m =
45
66).33#
45
H%/$, $*
%umu 7erka&
Pu ϕ × Ag × β 1× f ' c
0.13364#
("mana > 1 ton =
III
mm OK
%umu or"onta&
()
Pu e × ϕ × Ag × β 1× f ' c b
0.0#1##
(ar" ("agram "nterak!" ko&omE ("pero&e* > per*akan !umu Cerka& (an *or"onta& maka > 6
r'
7&
b'
= =
0.0150 0.
r
=
0.0135
H!tot
=
13500
n '
= = =
L/*3 T/*$,*$ 4
H!tot = r Hg %e*"ngga ("gunakan tu&angan Lum&a* "ameter H! terpa!ang
40
D,/$*k*$ %/*$,*$ /%** 4
mm2
40 21 13#4).4 21
13500
OK
Penulangan er!adap "eser
L/2
Diagram geser
Vud deff Vu
7u = 7u( = penampang kr"! pertama pa(a Darak (e 7u(/7u = ,/2-(e/,/2 (e = &ear efekf (e= - 0.5("a.u& utama - ("a.%engkang - !e&"mut eton
7u
=
7u( =
33.62
ton
13536
(ef =
04.5
mm
Kapa!"ta! ge!er
Vc= 1 / 6× √ f ' c ×b ×deff Vn
=
Vud φ
("mana > f = 0.65 %yarat > 7u( f 7c
Av Av
=
Av =
' c b 1"""
12"" 12"" fy
("paka"
S=
=
)150)0 ton
7n
=
2146)1 ton
f
=
135 53 36.0
b 1""" 1""" 3 fy
#! √ f
7c
1/ $ n
d! 1""" Avu
%yarat > % N 16 % N 4#.("a !engkang % N (/2 % N 600 mm
HC1
= #33.3333 !!2
HC2
= )41.15## !!2
HC HC
= #33.3333 !!2
%
= 1##.456 mm mm
% % % %
N N N N
336 4#0 452.25 600
0.65 464 64) )6
mm mm mm mm
%e*"ngga ("gunakan tu&angan ge!er "ameter Larak antar tu&angan
O %
= =
10 150
mm A 1##.456
D,/$*k*$ %/*$,*$ 3($,k*$, 4
O
10
-
150
P(b(3*$ T*+*k P#$*3
%econ (
=
1300
mm
ata - (ata > u&angan 8tama
1
(=a (e= ( - 0.5("a.u& - ("a.u& - !e&"mut eton
H! = 2#3.52#) mm2 ( = 1300 mm (e = 116.5 mm
Hg = 1 1
Hg
=
F=s
!
= .0 .03#0 #0) ) t/m2
=
1
"g "gunak unakan an u&an u&ang gan +e!er e!er M"n" M"n"mu mum m
mm
22500 mm2
OK
Mu = 0.5 F 1 eP
Mu "
" 8 ×b 1× deff
Mu =
(
= #×fy × 1−"!88 #×
fy f 'c
)
III
.mm Q 400Q 400 -
0.42060Q#2 = 41#1 -
H! = r 1 (e
III
r
=
H!
= 1244.611 mm2
Q2 41#1 0.42060#
0.00104
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
150
= 1#0.12
"ameter
=
1
mm2
D,/$*k*$ %/*$,*$ /%** 4
D
18
-
OK
150
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
Vc= 1 / 6× √ f ' c ×b$×deff
1 1#)#6 mm mm
7c 7c
= 1))6#4 = III ton
7 = F 1 e
7 7
= III = 16.5411 ton
7u = 7/f
7u
= 302.3)0# ton
%yarat > 7u A f7c
302.3)1 A %econ (
P(b(3*$ T*+*k P#$*3
=
)00
11)#.15
.T*k ((&/k*$ %/*$,*$ ,(3(&
mm
ata - (ata > u&angan 8tama
1
(=a (e= ( - 0.5("a.u& - ("a.u& - !e&"mut eton
H! = 2#3.52#) mm2 ( = 600 mm (e = 46.5 mm
=
1
mm
22500 mm2
Hg = 1 1
Hg
=
F=s
!
= .03#0) t/m2
!
=
III
e
=
1)50
Mu =
III
e = */2 Mu = 0.5 F 1 eP
Mu
(
fy = #×fy × 1−"!88 #× " f 'c " 8 ×b 1× deff
)
/mm 2
.mm Q 400Q 400 -
0.3)65Q52 = 41#1 -
H! = r 1 (e
r
= 0.00033
H!
= 463.3)4 mm2
Q2 41#1 0.3)655
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
250
= 1134.115
"ameter
=
1
mm2
D,/$*k*$ %/*$,*$ /%** 4
D
18
-
OK
250
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
Vc= 1 / 6× √ f ' c ×b$×deff
1 145#6 mm mm
7c 7c
= =
5)25263 III ton
7 = F 1 e
7 7
= =
10)04#5 III ton
7u = 7/f
7u
=
III
%yarat > 7u A f7c
16).#4 A
III
ton
.T*k ((&/k*$ %/*$,*$ ,(3(&
P(&)%/$,*$ P(&)%/$,*$ +(&($*$**$ B*#k *$ S##!
"rencanakan ("men!" !&oof Bean-ean yang ekerDa pa(a !&oof a(a&a* > Berat !en("r" !&oof
=
30 0.3
0.4
40
cm
2400 =
2## Kg/m
%e*"gga mo(e& pemeanannya !eper pa(a gamar er"kut > q = 5## Kg/m
B
H
= 1/#.q.,2 5## 2.26 = # = 2150.41 Kg.m = 1/12.q.,2
Momen &apangan H R <
Momen tumpuan H R -
=
5## 2.26 12 = 1433.60) Kg.m = 5/4#.q.,2 2 240 40 2 2.2 .26 6 = 4# = 1)2.00# kg m
Momen &apangan B <
D(3*$ %/*$,*$ /%** Tulangan lapangan ( M + )
Tm"n
=
1.4 f y
=
Tmak! = 0.)5 U1 = 0.)5
1.4 = 400 0.#5.f'c
0.0035 600 600 < f y
f y
0.#5
0.#5 22.5 400
600 600 < 400
=
0.01#2 600 a = U1 ( 600 < f y 600 = 0.#5 333.5 600 < 400 = 1)0.0#5 mm amak! = )5V.a = 0.)5 1)0 = 12# mm mm "tung > amak! Mna(a = 0.#5.f'c..amak! ( 2 = 0.#5
22.5
300
12# 333.5 - 63.)#
=
1 1)4 )405 05# #0. 0.)4 )4) ) .mm .mm Mu 21504101.5 Mnper&u = = = 26 26## ##01 0126 26. .1# 1## # .mm .mm S 0.# Karena Mna(a Mnper&u maka ("gunakan tu&angan tungga& m
=
@n
=
f y 0.#5.f'c Mu 2
S..(
= =
400 0.#5
=
22.5
20.15
21504101.535 0.#
300
111222
= 0.#06 Mpa
"tung > T
=
1 m
1 -
1
1 = 1 20.15 = 0.00206 Kontro& ra!"o tu&angan T A Tm"n A Tmak!
-
-
2.m.@n f y 1
-
33.6#2 400
,/$*k*$ &*3# %/*$,*$ $/
(engan (em"k"an &ua! tu&angan yang ("per&ukan a(a&a* > H! = Tm"n..( = =
0.0035 300 333.5 350 mm2
("gunakan tu&angan
4
S
13
=
531 mm2
Tulangan tumpuan ( M - )
Tm"n
=
1.4 f y
=
Tmak! = 0.)5 U1 = 0.)5
1.4 = 400 0.#5.f'c
0.#5
f y
0.0035 600 600 < f y
0.#5 22.5 400
600 600 < 400
600 333.5 600 < 400 = 1)0.0#5 mm = )5V.a = 0.)5 1)0 = 12# mm mm = 0.#5
amak!
"tung > Mna(a =
0.#5.f'c..amak!
= 0.#5
22.5
(
300
-
amak! 2
12# 333.5 - 63.)#
=
1) 1)405 405#0. #0.) )4) .mm .mm Mu 1433606).) Mnper&u = = = 1) 1)2 200 00#4 #4.6 .612 125 5 .mm .mm S 0.# Karena Mna(a Mnper&u maka ("gunakan tu&angan tungga& m
=
@n
=
f y 0.#5.f'c Mu S..(2
= =
400 0.#5
=
22.5
20.15
1433606).6 0.#
300
111222
= 0.53) Mpa
"tung > T
=
1 m
1
-
1
-
2.m.@n f y
1 22.4655 1 1 20.15 400 = 0.00136 Kontro& Kontro& ra!"o tu&angan T A Tm"n A Tmak! ,/$*k*$ &*3# %/*$,*$ $/ =
(engan (em"k"an &ua! tu&angan yang ("per&ukan a(a&a* > H! = Tm"n..( =
0.0035
=
350
300 333.5
mm2
("gunakan tu&angan
4
S
13
=
531 mm2
OK999
A$*33 %/*$,*$ Tulangan lapangan ( M + )
Ta(a
=
H!terpa!ang .(
=
530.22 100050
Tm"n A Ta(a A Tmak! a
=
= 0.00531 OK999
H!terpa!ang .f y 0.#5.f'c.
=
531 0.#5
400
22.5
300
=
3)
mm
3)
mm
%e*"ngga momen nom"na& a(a&a* a Mna(a = H!.f y ( 2 = 531 400 333.5 - 1#.51 = 66# 66#55 5516.3 16.32 25) .mm .mm Kontro& Kontro& keamanan pena mpang > Mna(a Mu OK999 Tulangan tumpuan ( M - )
Ta(a
=
H!terpa!ang .(
=
530.22 100050
Tm"n A Ta(aA Tmak! a
=
H!terpa!ang .f y 0.#5.f'c.
= 0.00531 OK999
=
531 0.#5
400
22.5
300
=
%e*"ngga momen nom"na& a(a&a* a Mna(a = H!.f y ( 2 = 531 400 333.5 - 1#.51 = 66# 66#55 5516.3 16.32 25) .mm .mm Kontro& Kontro& keamanan pena mpang > Mna(a Mu OK999 P((&k3**$ %/*$,*$ ,(3(&
Be!ar gaya ge!er rencana a(a&a* 7u 7n 7c
=
33616.5 kg 7u 33616.51 = = = 5602).5 Kg S 0.6 1 22.5 300 333.5 f'c.X.( = = 6 6
6 )06.5 = )10
Kg
S .7c 6 532 532.2 .24 4 kg b/%/)k*$ %/*$,*$ ,(3(& 7u A S . 7c
7!
6
7u - S7c 33616.51 - 532.24 6 3612.3) = S 0.)5
7c1
6 0.33. fW fW.X.(
=
156611 kg
7c2
6 0 66. fW fW X (
=
313222 kg
kg
Meng*"tung Darak tu&angan !engkang er(a!arkan er(a!arkan per!amaan > "rencan "rencanakan akan menggunak menggunakan an ("ameter ("ameter 10 mm HC = 15) m2 HC.fyt.( = 56).324 %1 6 mm 7! %2 6 (/2 = 166.)5 mm HC.fyt = 5#.052 %3 6 mm 0.35.X %4 6 600 mm ("gunakan % =
166.)5 mm
=
160
mm
OK
P(&)%/$,*$ +(&($*$**$ B*#k P($*$,,* P($*$,,*
co! Z q =
2##
kg/m co! Z
, "rencanakan menggunakan ("men!" = 146#.21 kg kg ,' = 5.10 m , = 5.2 %u(ut Z = 30.4# Y co! Z = 1265.3) kg q co! Z = 24#.211 kg = ., < q., 2/2
Mma
=
30
40
1302).05434 kg k g.m
Tulangan tumpuan ( M - )
Tm"n
=
1.4 f y
=
Tmak! = 0.)5 U1 = 0.)5
1.4 = 400 0.#5.f'c
0.0035 600
f y
0.#5
600 < f y
0.#5 22.5 400
600 600 < 400
= a
amak!
0.01#2 600 = U1 ( 600 < f y 600 = 0.#5 332 600 < 400 = 16.32 mm = )5V.a = 0.)5 16 =
12) mm mm
"tung > Mna(a =
0.#5.f'c..amak!
= 0.#5
22.5
(
300
-
amak! 2
12)
332
-
63.5
=
1 156 5634 341 11 1.0 .0## ## .mm .mm Mu 1302)0544 Mnper&u = = = 16 162# 2#3# 3#1) 1). . 3 3 .mm .mm S 0.# Karena M na(a Mnper&u maka ("gunakan tu&angan tungga& m
=
@n
=
f y 0.#5.f'c Mu S..(
2
= =
400 0.#5
=
22.5
20.15
1302)0543.441) 0.#
300
110224
= 4.24 Mpa
"tung > T
=
1 m
1
-
1
1 = 1 20.15 = 0.01451 Kontro& ra!"o tu&angan Tm"n A T A Tmak!
-
-
2.m.@n f y 1
-
205.1 400
(engan (em"k"an &ua! tu&angan yang ("per&ukan a(a&a* > H! = T..( = =
0.01451
300
332
2
1446 mm
("gunakan tu&angan
#
S
16
=
160# mm2
OK999
A$*33 %/*$,*$ 4 Tulangan tumpuan ( M - )
Ta(a
=
H!terpa!ang .(
=
160#.45 = 0.01615 600
Tm"n A Ta(aA Tmak! a
=
,/3
OK999
H!terpa!ang.f y 0.#5.f'c.
=
160# 0.#5
400
22.5
300
=
112
mm ,
%e*"ngga momen nom"na& a(a&a* a Mna(a = H!.f y ( 2 = 160# 400 332 - 56.0) = 1) 1))5 )533 3314 143. 3.0# 0#1 1 .mm .mm Kontro& Kontro& keamanan penampang > Mna(a Mu OK999 P((&k3**$ %/*$,*$ ,(3(&
Be!ar gaya ge!er rencana a(a&a* 7u 7n 7c
=
2)16. kg 7u 2)16.#) = = = 452#.1 Kg S 0.6 1 22.5 300 332 f'c.X.( = = 6 6
6 )#)40.) = )#)4
Kg
S .7c 6 5 505 05.5 .55 5 kg 7u A S . 7c b/%/)k*$ %/*$,*$ ,(3(& 7!
6
7u - S7c 2)16.#) - 505.55 = 6 31)4#.42 S 0.)5
7c1
fW.X.( 6 0.33. fW
=
43020 kg
7c2
fW.X.( 6 0.66. fW
=
#6040 kg
7! A 7c2
P($*+*$, /k/+
Meng*"tung Darak tu&angan !engkang er(a!arkan per!amaan > "rencana "rencanakan kan menggunak menggunakan an ("ameter ("ameter 10 mm HC = 15) m2 HC.fyt.( = 656.)13 %1 6 mm 7! %2 6 (/2 = 166 mm HC.fyt = 5#.052 %3 6 mm 0.35.X %4 6 600 mm ("gunakan % =
166
mm
=
160
,/3
mm
OK
kg
CALCULATION DESIGN OF FOUNDATION FOUNDATION 150 kV TRANSMISSION LINE OF KALTENG-1 2X100 MW 4##6 CLASS 7W DATA TEKNIS PERENCANAAN
Mutu Beton f'c fy g eton g tana* qcrata -rata Koe!"en ge!er b1 $! ec %e&"mut Beton on(a!" %e&"mut Beton Ko&om
= = = = = = = = = = = =
K225 225 400 2.40 1.60 31.0 0.45 0.#5 210000 0.003 )5.00 )5.00
%u(ut ge!er (a&am tana*
=
0.00
DATA BEBAN
= = = =
+aya ,atera& +aya ekan +aya ar"k
kg/cm2 Mpa t/m3 t/m3 kg/cm2
Mpa mm mm 0
22.03 ton 14#.2 ton 122.65 ton
DIMENSI PONDASI
,ear &engan pe&at 1 1 ,ear &engan pe&at 2 2 ea& e&at a ,ear !&a * ea& !&a f a&am pon(a!" (f
= = = = = =
6.4 3.2 0.65 3 0.6 3.5
m m m m m m
Kem"r"ngan !tu a) "ngg" *ymey (" ata! tana* *t "ngg" *ymney , ,ear *ymney ,ear &engan !&a g Back to Back Kengg"an ma ko&om
= = = = = = =
#1.16 0.4 2.6#1#6 0.65 1.1)5 .#3 3
= =
1.1330# m m3 3 2.)14 ton
= =
32.024 m3 )6.#5)6 to ton
0
m m m m m m
BERAT PONDASI
1 Berat Berat ko&om ko&om 7o&ume Ko&om Berat ko&om 2 Berat Berat pe&at pe&at 7o&ume pe&at Berat e&at BERAT TANAH
Berat tana* !eaga" pena*an gaya 8p &"9 :!u ("mo(e&kan !eaga" entuk ,"ma! %eg"empat terpancung b'
b' " ! b1 b1
anDang !"!" ata! ' = 1 < 2 (f tan f 7o&ume ,"ma! erpancung 7!u;
=
Vsu=1/ Vsu=1/3timesital df times left(b1 rSup {size 8{2}} +b'rSup {size8{2} }+ sqrt {b1 rSup rSup {size 8{2} } timesb'rSup {size 8{2} }} right)} {
6.40 m
=
143.36 m3
= =
110.20 m3 104.6 ton
¿
ota& 7o&ume ana* 7!u = 7!u; - 7tota& Berat ana* ana* untuk 8p &"9 :!u = g tana* 7!u KONTROL PONDASI K#$% %(&)**+ ,** UPLIFT .T/
u = :p < :!u u/1.5
= =
1#4.2) ton 122.#5 ton
122.65 ton
OK
K#$% T(&)**+ G/$, Momen Resistance (MR)
- Mrconc = :p &engan - Mr!o"& = :!u &engan ("mana > &engan = 1/2
= = =
254.646 to ton.m 335.01) to ton.m 3.2 m
- M = (f - Momen ta*anan ak"at gaya tekan pa!"f tana*
=
)).02# ton.m ))
p = 0.5 (f 2 gtana* Kp Mp = p (f 1/3 - M+ re!u&t = M - Mp - %? = M@/M+ 2
= = = =
6.3) ).4316) 6.6611 #. #.464)4
=
1.60
Momen Guling (MG)
ton to ton.m to ton.m 2
OK
K#$% T(&)**+ D** D/k/$, T*$*) .B(*&$, C*+*%
qa&& = qcrata-rata /30
ex = ey =
M N
smak! sm"n
6 ex 6 ey N σ = ( 1± ± ) A L B
kg/cm2
=
15.5
ton/m2
=
0.46))) m
=
6.#245 ton/m2 A
15.5
ton/m2
OK
=
0.4462 ton/m2 A
15.5
ton/m2
OK
=
3.04244
OK
("mana >
s = egangan tana* ak"at gaya-gaya &uar t/m 2 = +aya-Cerka& yang ekerDa pa(a pon(a!" ton H = ,ua! tapak pon(a!" m 2 ,EB = anDang (an &ear pon(a!" eEey= $k!entr"!"ta! ara* (an y K#$% T(&)**+ G** L*%(&*
Fs= δ
x
N >1 ! H
1.5
("mana > d = koe!"en ge!er K#$% T(&)**+ G(3(& 1 A&*) 500
d
(! = %e&"mut eton < /2 ( = -(! a = ,/2 - /2 - ( sa = smin+(L-a).( smaks- smin)/L
a
= = = =
#4.50 1165.5 .5 6#.043
mm mm mm = k/m2
7u = B.a.F!uneGo < Hq1
=
32)46)
q1 = .gtana*
=
36000 /m2
=
0.036
=
30000 /m2
0.005
m
d ds L
min a
max
Gaya tekan ke atas dari tanah (Vu) = 0.2314) Mpa
q2 = a'.geton h
d
=
0.03
/mm 2 /mm 2
b
Gaya geser yang dapat ditahan beton ( f.Vc)
f.Vc = f.√f'c.B.d/6 Vu < f.Vc 4E+0, < 2E+06
=
OK
20)316.4) =
20)3.164) k
K#$% T(&)**+ G(3(& 2 A&*) L / 2
L / 2
i!e i!ens nsii ko"o! o"o!## b = 6, 6,0 0 !! b + d = h + d = 6,0 + $$ $$$ = d B
b d
d
h
-. = hk / bk =
d
1#15.5 mm
=
1.#155 m
Gaya tekan ke atas (gaya geser pons) % Vu= &' * (b+d (b+d)( )(h+ h+ Qsunetto = 1E+06 = 1 42 0 k 1
bo= 2 &(bk &(bk + d) d) + (hk (hk + d) d) = 3 2 6 2 !! d ds L
min max
Gaya geser yang ditahan o"eh beton ( f . Vc): V. = (1+(2/-.) ( Ö f'c bo d ) / 6 = 2E+03 = 200341 k = 20 03 k V. = (2 + (as . d) / (bo)).( Ö f'c = 2235 223553 5356 56 = 22 0 0 k
bo d ) / 12
V. = 1/4 Ö f'c bo d = 144 1442, 2,45 45 = 14 4 4 k ipi"ih V. terke.i" f.7c = = 7u A f.7c .7c
144 44 4 k 0.)5 . 14 10036. k
OK
Cek Kelangsingan Struktur KxL r
31.60## A
< 22
r = 0.3 K = 2 kan&eCer
r K
= =
Jp(!t& = 1/12 3
Jp(!t& =
$c = 4)00 f'c 0.5 Jp(!t& $c
$c
=
15 2
22
.K(*$,3$,*$ .K(*$,3$,*$ b(&+($,*&/)
mm
1$<10 mm4 2224.1 Mpa
=
3$<14 mm2
=
3$<11 kmm2
Faktor pembesar momen ( ) δ = 1−
Cm Pu φ × Pc
d
"mana > m = 1 kon!erCaf u = j = 0.65 c = p2 Jp(!t& $c / k , 2
=
³ 1.00
1
m = u = j =
1 14#.2 ton 0.65
c
1.1$<11 ton
=
Ok
Penulangan Pedestal
M1 = , M2 = e m"n Mt = M1 < M2 M = d Mt Mnper&u = M/j nper&u = /j
M1
=
5 5.0)1 ton.m
M2 Mt M
= = =
5.13))6 ton.m 64.20) ton.m 64.20) ton.m
Mnper&u = nper&u =
#.)#41 ton.m 22.10# ton
Ek3($%&3%*3 4
e = Mn per&u/nper&u
e em"n
em"n = 15 < 0.03 %yarat > e e m"n
=
431.16# mm
=
34.5
431.16#
34.5
H%/$, $*
%umu 7erka&
Pu ϕ× Ag × β 1× f ' c
0.2))#
("mana > 1 ton =
III
mm OK
%umu or"onta&
()
Pu e × ϕ × Ag × β 1× f ' c b
0.1#43
(ar" ("agram "nterak!" ko&omE ("pero&e* > per*akan !umu Cerka& (an *or"onta& maka > 6
r'
7&
b'
= =
0.0150 0.
r
=
0.0135
H!tot
=
5)03.)5 mm2
n '
= = =
20 21 623.) 21
L/*3 T/*$,*$ 4
H!tot = r Hg %e*"ngga ("gunakan tu&angan Lum&a* "ameter H! terpa!ang
20
D,/$*k*$ %/*$,*$ /%** 4
5)03.)5
OK
Penulangan er!adap "eser
L/2
Diagram geser
Vud deff Vu
7u = 7u( = penampang kr"! pertama pa(a Darak (e 7u(/7u = ,/2-(e/,/2 (e = &ear efekf (e= - 0.5("a.u& utama - ("a.%engkang - !e&"mut eton
7u
=
7u( =
22.03
ton
12664#
(ef =
554.5
mm
Kapa!"ta! ge!er
Vc= 1 / 6× √ f ' c ×b ×deff Vn
=
Vud φ
("mana > f = 0.65 %yarat > 7u( f 7c
Av Av
=
Av =
2#441 ton
7n
=
14#43 ton
f
=
1""" ' c b 1"""
HC1
=
541.66) !!2
HC2
=
4#1.)53 !!2
HC
=
541.66) !!2
%
=
2#.3 mm
% % % %
N N N N
336 4#0 2)).25 600
0.65 1#5212
"g "gunak unakan an u&an u&ang gan +e!e +e!err M"n" M"n"m mum
12"" 12"" fy
("paka"
S=
=
1266 664 4#.2
b 1""" 1""" 3 fy
#! √ f
7c
1/ $ n
d! 1""" Avu
%yarat > % N 16 % N 4#.("a !engkang % N (/2 % N 600 mm
mm mm mm mm
%e*"ngga ("gunakan tu&angan ge!er "ameter Larak antar tu&angan
O %
= =
10 200
mm A 2)).25
D,/$*k*$ %/*$,*$ 3($,k*$, 4
O
10
-
200
P(b(3*$ T*+*k P#$*3
%econ (
=
1250
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - (" ("a.u& - !e&"mut eton
H! = ( = (e =
Hg = 1 1
Hg
=
1$ 1 $<0) mm2
F=s
!
=
6 #245 t/m2
1
mm
2#3.52 mm2 1250 mm 1146.5 mm
OK
e = 2-g Mu = 0.5 F 1 eP
e = Mu =
(
Mu
fy = #× fy × 1−"!88 #× " f 'c " 8 ×b 1× deff
3200 III
400Q Q 400
0.325)) = 2 41#1Q -
)
.mm -
r
=
0.000#1
H! = r 1 (e
H!
=
25.15 mm 2
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
"ameter
D,/$*k*$ %/*$,*$ /%** 4
D
250
=
2
41#Q1 0.325)6#
= 1134.115
OK
2
1 1 18
III
mm
-
250
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 165#6 m mm m
7c 7c
= =
1.5$<0) III ton
7 = F 1 e
7 7
= =
III 13.)6# ton
7u = 7/f
7u
=
215.02) ton
%yarat > 7u A f7c
215.02) A
Vc= 1 / 6× √ f ' c ×b$×deff
%econ (
P(b(3*$ T*+*k P#$*3
=
ata - (ata > u&angan 8tama
600
6.)11
mm
1 = H! = ( = (e =
(=a (e= ( - 0.5("a.u& - ("a.u& - !e&"mut eton
1
mm
2#3.52 mm2 650 mm 546.5 mm
Hg = 1 1
Hg
=
F=s
!
=
!
=
III
e
=
1500
Mu =
III
e = */2 Mu = 0.5 F 1 eP
Mu "
" 8 ×b 1× deff
(
= #× fy × 1−"!88 #×
fy f 'c
1$ 1 $<0)
mm2
6.#245 t/m2 /mm 2
.mm 400Q Q 400
0.15)52 = 2 41#1Q -
)
.T*k ((&/k*$ %/*$,*$ ,(3(&
-
r
=
0.0003
H! = r 1 (e
H!
=
214.32 mm 2
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
"ameter
D,/$*k*$ %/*$,*$ /%** 4
D
250
=
= 1134.115
OK
2
1 1 18
2
41#Q1 0.15)51)
mm
-
250
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 14#6 m mm m
7c 7c
= 64)4644 = III ton
7 = F 1 e
7 7
= =
7u = 7/f
7u
=
III
%yarat > 7u A f7c
100.)4 A
III
Vc= 1 / 6× √ f ' c ×b$×deff
642314 III ton ton
.T*k ((&/k*$ %/*$,*$ ,(3(&
P(&)%/$,*$ P(&)%/$,*$ +(&($*$**$ B*#k *$ S##!
"rencanakan ("men!" !&oof Bean-ean yang ekerDa pa(a !&oof a(a&a* >
=
25
35
cm
%e*"gga mo(e& pemeanannya !eper pa(a gamar er"kut > q = 510 Kg/m
B
H
= 1/#.q.,2 510 11.0) = # = )05.2) Kg.m = 1/12.q.,2 = 510 11.0) 12 = 4)0.61# Kg.m
Momen &apangan H R <
Momen tumpuan H R -
= 5/4#.q.,2 2550 2550 11.0 11.0) ) = 4# = 5##.2)3 kg m
Momen &apangan B <
D(3*$ %/*$,*$ /%** Tulangan lapangan ( M + )
Tm"n
=
1.4 f y
=
Tmak! = 0.)5 U1
1.4 = 400 0.#5.f'c
0.0035 600 600 < f y
f y
= 0.)5 0.#5
0.#5 22.5 400
600 600 < 400
=
0.01#2 600 a = U1 ( 600 < f y 600 = 0.#5 2#3.5 600 < 400 = 144.5#5 mm amak! = )5V.a = 0.)5 145 = 10# mm mm "tung > amak! Mna(a = 0.#5.f'c..amak! ( 2 = 0.#5 22.5
250
10# 2#3.5 - 54.22
= 11 11## ##)5 )5)6 )61. 1.53 53 .mm .mm Mu )052)0.4) Mnper&u = = = ##24 ##240# 0##. #.0# 0##5 #54 4 .mm .mm S 0.# Karena Mna(a Mnper&u maka ("gunakan tu&angan tungga& m
=
@n
=
f y 0.#5.f'c Mu S..(2
= =
400 0.#5 22.5
=
20.15
)052)0.4)0#3334 0.#
250 #03)2.3
= 0.43 Mpa
"tung > T
=
1 m
1 -
1 -
2.m.@n f y
1 1#.3)01 = 1 1 20.15 400 = 0.00111 Kontro& ra!"o tu&angan T A Tm"n A Tmak! ,/$*k*$ &*3# %/*$,*$ $/ (engan (em"k"an &ua! tu&angan yang ("per&ukan a(a&a* > H! = Tm"n..( = 0.0035 250 2#3.5 = 24# mm2 ("gunakan tu&angan
4
S
13
=
531 mm2
Tulangan tumpuan ( M - )
Tm"n
=
1.4 f y
=
Tmak! = 0.)5 U1
1.4 = 400 0.#5.f'c
= 0 )5 0 #5
f y
0.0035 600 600 < f y
0.#5 22.5
600
1
600 < f y
600 2#3.5 600 < 400 = 144.5#5 mm = )5V.a = 0.)5 145 = 10# mm mm = 0.#5
amak!
"tung > Mna(a =
0.#5.f'c..amak!
= 0.#5 22.5
( -
250
amak! 2
10# 2#3.5 - 54.22
= 11## 11##)5 )5)6 )61. 1.53 53 .mm .mm Mu 4)061#0.31 Mnper&u = = = 5##2 5##2)2 )25. 5.3 323 236 6 .mm .mm S 0.# Karena Mna(a Mnper&u maka ("gunakan tu&angan tungga& m
=
@n
=
f y 0.#5.f'c Mu S..(
2
= =
400 0.#5 22.5
=
20.15
4)061#0.313#### 0.#
250
#03)2.3
= 0.23 Mpa
"tung > T
=
1 m
1 -
1 -
2.m.@n f y
1 12.246# 1 1 20.15 400 = 0.000)4 Kontro& Kontro& ra!"o tu&angan T A Tm"n A Tmak! ,/$*k*$ &*3# %/*$,*$ $/ =
(engan (em"k"an &ua! tu&angan yang ("per&ukan a(a&a* > H! = Tm"n..( =
0.0035
=
24#
250 2#3.5
mm2
("gunakan tu&angan
4
S
13
=
531 mm2
OK999
A$*33 %/*$,*$ Tulangan lapangan ( M + )
Ta(a
=
H!terpa!ang .(
=
530.2 = 0.00)4 )0#)5
Tm"n A Ta(a A Tmak! a
=
H!terpa!ang .f y 0.#5.f'c.
OK999
=
531
400
0.#5 22.5
250
= 44.42 mm
%e*"ngga momen nom"na& a(a&a* a Mna(a = H!.f y ( 2 = 531 400 2#3.5 - 22.21 = 5540#46.4)4 .mm Kontro& Kontro& keamanan penampang > Mna(a Mu OK999 Tulangan tumpuan ( M - )
Ta(a
=
H!terpa!ang .(
=
530.2 )0#)5
Tm"n A Ta(aA Tmak! a
=
H!terpa!ang .f y 0.#5.f'c.
= 0.00)4 OK999
=
531
400
0.#5 22.5
250
= 44.42 mm
%e*"ngga momen nom"na& a(a&a* a Mna(a = H!.f y ( 2 = 531 400 2#3.5 - 22.21 = 5540#46.4)4 .mm Kontro& Kontro& keamanan penampang > Mna(a Mu OK999 P((&k3**$ %/*$,*$ ,(3(&
Be!ar gaya ge!er rencana a(a&a* 7u 7n 7c
=
22026.5 kg 7u 22026.5 = = = 36)10.# Kg S 0.6 1 22.5 250 2#3.5 f'c.X.( = = 6 6
6 56031.6 = 5603
Kg
S .7c 6 4202 4202.3 .3) ) kg b/%/)k*$ %/*$,*$ ,(3(& 7u A S . 7c 7!
7c1
6
7u - S7c 22026.5 - 4202.3) 6 23)65.51 = S 0.)5
6 0.33. fW.X.(
= 11043 kg
kg
7! A 7c2
P($*+*$, /k/+
Meng*"tung Darak tu&angan !engkang er(a!arkan per!amaan > "rencan "rencanakan akan menggunak menggunakan an ("ameter ("ameter 10 mm HC = 15) m2 HC.fyt.( = )4.144 %1 6 mm 7! %2 6 (/2 = 141.)5 mm HC.fyt = )1).)14 %3 6 mm 0.35.X %4 6 600 mm ("gunakan % =
141.)5 mm
=
140
mm
OK
P(&)%/$,*$ +(&($*$**$ B*#k P($*$,,* P($*$,,*
co! Z q =
210
kg /m co! Z
, "rencanakan menggunakan ("men!" = 633.4 kg kg ,' = 3.02 m , = 4.25 %u(ut Z = 44.#4 Y co! Z = 44.1#1 kg q co! Z = 14#.02 kg
25
35
= ., < q., 2/2 = 4042.6050625 kg kg.m
Mma Tulangan tumpuan ( M - )
Tm"n
=
1.4 f y
=
Tmak! = 0.)5 U1
1.4 = 400 0.#5.f'c
0.0035 600 600 < f y
f y
= 0.)5 0.#5
0.#5 22.5 400
= a
0.01#2 600 = U1 600 < f y
600 600 < 400
(
600 2#3.5 600 < 400 = 144.5#5 mm amak! = )5V.a = 0.)5 145 = 10# mm mm "tung > amak! Mna(a = 0.#5.f'c..amak! ( 2 = 0.#5
= 0.#5 22.5
250
10# 2#3.5 - 54.22
= 11 11## ##)5 )5)6 )61. 1.53 53 .mm .mm Mu 4042605 Mnper&u = = = 50 5053 5336 3631 31.3 .32# 2#1 1 .mm .mm S 0.# Karena M na(a Mnper&u maka ("gunakan tu&angan tungga& m
=
@n
=
f y 0.#5.f'c Mu S..(
2
= =
400 0.#5 22.5
=
20.15
4042605.06251#3 0.#
250
#03)2.3
= 2.515 Mpa
"tung > T
=
1 m
1 -
1 -
1 = 1 20.15 = 0.006)) Kontro& ra!"o tu&angan Tm"n A T A Tmak!
2.m.@n f y 1 -
105.202 400
(engan (em"k"an &ua! tu&angan yang ("per&ukan a(a&a* > H! = T..( =
0.006))
250 2#3.5
A$*33 %/*$,*$ 4 Tulangan tumpuan ( M - )
Ta(a
=
H!terpa!ang .(
=
530.2 = 0.00)4 )0#)5
Tm"n A Ta(aA Tmak! a
=
OK999
H!terpa!ang.f y 0.#5.f'c.
=
531
400
0.#5 22.5
250
= 44.42 mm ,/3
%e*"ngga momen nom"na& a(a&a* a Mna(a = H!.f y ( 2 = 531 400 2#3.5 - 22.21 = 5540#46.4)4 .mm Kontro& Kontro& keamanan penampang > Mna(a Mu OK999 P((&k3**$ %/*$,*$ ,(3(&
Be!ar gaya ge!er rencana a(a&a* 7u 7n 7c
=
16064.# kg 7u 16064.# = = = 26))4.6 Kg S 0.6 1 22.5 250 2#3.5 f'c.X.( = = 6 6
6 56031.6 = 5603
Kg
S .7c 6 42 4202 02..3) kg 7u A S . 7c b/%/)k*$ %/*$,*$ ,(3(& 7!
6
7u - S7c 16064.# - 4202.3) = 6 15#16.52 S 0.)5
7c1
6 0.33. fW.X.(
= 350#31 kg
7c2
6 0.66. fW.X.(
= )01663 kg
7! A 7c2
kg
P($*+*$, /k/+
Meng*"tung Darak tu&angan !engkang er(a!arkan per!amaan > "rencana "rencanakan kan menggunak menggunakan an ("ameter ("ameter 10 mm HC = 15) m2 HC.fyt.( = 1125.65 %1 6 mm 7! %2 6 (/2 = 141.)5 mm HC.fyt = )1).)14 %3 6 mm 0.35.X %4 6 600 mm ("gunakan % =
141.)5 mm
=
140
mm
OK
CALCULATION DESIGN OF FOUNDATION 150 kV TRANSMISSION LINE OF KALTENG-1 KALTENG-1 2X100 MW DD$6 CLASS % DATA TEKNIS PERENCANAAN
Mutu Beton f'c fy g eton g tana* qcrata -rata Koe!"en ge!er b1 $! ec %e&"mut Beton on(a!" %e&"mut Beton Ko&om
= = = = = = = = = = = =
K225 225 320 2.40 1.60 100.00 0.45 0.#5 210000 0.003 )5.00 )5.00
%u(ut ge!er (a&am tana*
=
20.00
DATA BEBAN
= = = =
1#.1) ton 110.24 ton #.)2 ton
+aya ,atera& +aya ekan +aya ar"k
kg/cm2 Mpa t/m3 t/m3 kg/cm2
Mpa mm mm 0
DIMENSI PONDASI
,ear &engan pe&at 1 1 ,ear &engan pe&at 2 2 ea& e&at a ,ear !&a * ea& !&a f a&am pon(a!" (f
= = = = = =
5 2.5 0.4 2.2 0.4 3.5
m m m m m m
Kem"r"ngan !tu a) "ngg" *ymey (" ata! tana* *t "ngg" *ymney , ,ear *ymney ,ear &engan !&a g
= = = = =
#1.16 0.4 3.13)2) 0.)5 0.)25
= =
1.)64)1 m m3 3 4.23531 to ton
= =
11.36 m3 2#.6464 to ton
0
m m m m
BERAT PONDASI
1 Berat Berat ko&om ko&om 7o&ume Ko&om Berat ko&om 2 Berat Berat pe&at pe&at 7o&ume pe&at Berat e&at BERAT TANAH
Berat tana* !eaga" pena*an gaya 8p &"9 :!u ("mo(e&kan !eaga" entuk ,"ma! %eg"empat terpancung b'
b' " ! b1 b1
anDang !"!" ata! ' = 1 < 2 (f tan f 7o&ume ,"ma! erpancung 7!u;
=
Vsu=1/ Vsu=1/3timesital df times left(b1 rSup {size 8{2}} +b'rSup {size8{2} }+ sqrt {b1 rSup rSup {size 8{2} } timesb'rSup {size 8{2} }} right)} {
).55 m
=
13.66 m3
= =
125.6 m3 11.66 ton
¿
ota& 7o&ume ana* 7!u = 7!u; - 7tota& Berat ana* ana* untuk 8p &"9 :!u = g tana* 7!u KONTROL PONDASI K#$% %(&)**+ ,** UPLIFT .T/
u = :p < :!u u/1.5
= =
152.54 ton 101.)0 ton
#.)2
ton to
=
33.33
ton/m2
=
0.40) m
=
OK
K#$% T(&)**+ G/$, Momen Resistance (MR)
- Mrconc = :p &engan - Mr!o"& = :!u &engan ("mana > &engan = 1/2
= = =
#2.2043 to ton.m 2.152 to ton.m 2.5 m
- M = (f - Momen ta*anan ak"at gaya tekan pa!"f tana*
=
63.52 ton.m 63
p = 0.5 (f 2 gtana* Kp Mp = p (f 1/3 - M+ re!u&t = M - Mp - %? = M@/M+ 2
= = = =
).35 #.5)5 55.01) 6.315
=
3.33
Momen Guling (MG)
ton ton.m to ton.m 2
OK
K#$% T(&)**+ D** D/k/$, T*$*) .B(*&$, C*+*%
qa&& = qcrata-rata /30
ex = ey =
M N
smak! sm"n
6 ex 6 ey N σ = ( 1± ± ) A L B
kg/cm2
.613 ton/m2 A
33.33
ton/m2
OK
= -0.#)204 ton/m2 A
33.33
ton/m2
OK
=
OK
("mana >
s = egangan tana* ak"at gaya-gaya &uar t/m 2 = +aya-Cerka& yang ekerDa pa(a pon(a!" ton H = ,ua! tapak pon(a!" m 2 ,EB = anDang (an &ear pon(a!" eEey= $k!entr"!"ta! ara* (an y K#$% T(&)**+ G** L*%(&*
Fs= δ
x
N >1 ! H
2.)3035
1.5
("mana > d = koe!"en ge!er K#$% T(&)**+ G(3(& 1 A&*) 500
d
(! = %e&"mut eton < /2 ( = -(! a = ,/2 - /2 - ( sa = smin+(L-a).( smaks- smin)/L
a
= = = =
#4.50 )15.5 .5 6.45))
mm mm mm = k/m2
7u = B.a.F!uneGo < Hq1
=
303#)
q1 = .gtana*
=
43200 /m2
=
0.0432 /mm 2
=
1200 /m2
=
0.012 /mm 2
0.005
m
d ds L
min a
max
Gaya tekan ke atas dari tanah (Vu) = 0.201) Mpa
q2 = a'.geton h
d
b
Gaya geser yang dapat ditahan beton ( f.Vc)
f.Vc = f.√f'c.B.d/6 Vu < f.Vc 4E+0, < 3E+0,
=
OK
33326.4#) =
33.3264#)2 k
K#$% T(&)**+ G(3(& 2 A&*) L / 2
L / 2
i!e i!ens nsii ko"o! o"o!## b = 3, 3,0 0 !! b + d = h + d = 3, 0 + 3 16 = d B
b d
d
h
-. = hk / bk =
d
1465.5 mm
=
1.4655 m
Gaya tekan ke atas (gaya geser pons) % Vu= &' * (b+d (b+d)( )(h+ h+ Qsunetto = E+0, = 3124 k 1
bo= 2 &(bk &(bk + d) d) + (hk (hk + d) d) = , 6 2 !! d ds L
min max
Gaya geser yang ditahan o"eh beton ( f . Vc): V. = (1+(2/-.) ( Ö f'c bo d ) / 6 = 553,64 = 553,64 k = 5 5 k V. = (2 + (as . d) / (bo)).( Ö f'c = 5 4 63 15 = 5 4 3 k
bo d ) / 12
V. = 1/4 Ö f'c bo d = 6 6 4 13 05 = 6 64 2 k ipi"ih V. terke.i" f.7c =
6642 k 0.)5 . = 4)3.)#2 k
7u A f.7c .7c
OK
Cek Kelangsingan Struktur KxL r
31.4424 A
< 22
r = 0.3 K = 2 kan&eCer
r K
= =
Jp(!t& = 1/12 3
Jp(!t& =
$c = 4)00 f'c 0.5 Jp(!t& $c
$c
=
225 2
22
.K(*$,3$,*$ .K(*$,3$,*$ b(&+($,*&/)
mm
3$<10 mm4 2224.1 Mpa
=
6$<14 mm2
=
6$<11 kmm2
Faktor pembesar momen ( ) δ = 1−
Cm Pu φ × Pc
d
"mana > m = 1 kon!erCaf u = j = 0.65 c = p2 Jp(!t& $c / k , 2
=
³ 1.00
1
m = u = j =
1 110.242 ton 0.65
c
1.5$<11 ton
=
Ok
Penulangan Pedestal
M1 = , M2 = e m"n Mt = M1 < M2 M = d Mt Mnper&u = M/j nper&u = /j
M1
=
5) 5).0022 ton.m
M2 Mt M
= = =
4.1340) ton.m 61.1363 ton.m 61.1363 ton.m
Mnper&u = nper&u =
4.055# ton.m 16.603 ton
Ek3($%&3%*3 4
e = Mn per&u/nper&u
e em"n
em"n = 15 < 0.03 %yarat > e e m"n
=
554.565 mm
=
3).5
554.565
3).5
H%/$, $*
%umu 7erka&
Pu ϕ× Ag × β 1× f ' c
0.15456
("mana > 1 ton =
III
mm OK
%umu or"onta&
()
Pu e × b ϕ × Ag × β 1× f ' c
0.1142
(ar" ("agram "nterak!" ko&omE ("pero&e* > per*akan !umu Cerka& (an *or"onta& maka > 6
r'
7&
b'
= =
0.0100 0.
r
=
0.000
H!tot
=
5062.5 mm2
n '
= = =
20 1 566).) 1
L/*3 T/*$,*$ 4
H!tot = r Hg %e*"ngga ("gunakan tu&angan Lum&a* "ameter H! terpa!ang
20
D,/$*k*$ %/*$,*$ /%** 4
5062.5
OK
Penulangan er!adap "eser
L/2
Diagram geser
Vud deff Vu
7u = 7u( = penampang kr"! pertama pa(a Darak (e 7u(/7u = ,/2-(e/,/2 (e = &ear efekf (e= - 0.5("a.u& utama - ("a.%engkang - !e&"mut eton
7u
=
7u( =
1#.1)
ton
10364
(ef =
655.5
mm
Kapa!"ta! ge!er
Vc= 1 / 6× √ f ' c ×b ×deff Vn
=
Vud φ
("mana > f = 0.65 %yarat > 7u( f 7c
Av Av
=
Av =
3##664 ton
7n
=
1552 ton
f
=
1""" ' c b 1"""
HC1
=
)#1.25 !!2
HC2
=
64.#36 !!2
HC
=
)#1.25 !!2
%
=
201.062 mm
% % % %
N N N N
304 4#0 32).)5 600
0.65 25 252 2631
"gun "gunak akan an u&ang &angan an +e!e +e!err M"n" M"n"mu mum m
12"" 12"" fy
("paka"
S=
=
1036 36 3.#
b 1""" 1""" 3 fy
#! √ f
7c
1/ $ n
d! 1""" Avu
%yarat > % N 16 % N 4#.("a !engkang % N (/2 % N 600 mm
mm mm mm mm
%e*"ngga ("gunakan tu&angan ge!er "ameter Larak antar tu&angan
O %
= =
10 200
mm A 201.061
D,/$*k*$ %/*$,*$ 3($,k*$, 4
O
10
-
200
P(b(3*$ T*+*k P#$*3
%econ (
=
#00
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - (" ("a.u& - !e&"mut eton
H! = ( = (e =
Hg = 1 1
Hg
1
mm
2#3.52 mm2 #00 mm 66.5 mm
= 6250000 mm2
OK
e = 2 Mu = 0.5 F 1 eP
Mu
e = Mu =
(
fy = #× fy × 1−"!88 #× " f 'c " 8×b 1× deff
2500 III
0.)650) = 2 26)6Q -
)
.mm 320Q Q 320
-
r
=
0.00234
H! = r 1 (e
H!
=
1633.21 mm 2
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
"ameter
D,/$*k*$ %/*$,*$ /%** 4
D
160
=
1 1 18
-
III 2
26)Q6 0.)650)4
= 1))2.055
OK
2
mm 1:0
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 115#6 m mm m
7c 7c
= 63)61# = III ton
7 = F 1 e
7 7
= =
III 121.142 ton
7u = 7/f
7u
=
1#6.3)3 ton
%yarat > 7u A f7c
1#6.3)3 A
Vc= 1 / 6× √ f ' c ×b$ ×deff
%econ (
P(b(3*$ T*+*k P#$*3
=
400
422.6
.T*k ((&/k*$ %/*$,*$ ,(3(&
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - ("a.u& - !e&"mut eton
H! = ( = (e =
1
mm
2#3.52 mm2 400 mm 26.5 mm
Hg = 1 1
Hg
= 6250000 mm2
F=s
!
=
!
=
III
e
=
1100
Mu =
III
e = */ 2 Mu = 0.5 F 1 eP
Mu
(
fy = #× fy × 1−"!88 #× " f 'c " 8×b 1× deff
.613 t/m2
0.40#6) = 2 26)6Q -
)
/mm 2
.mm 320Q Q 320
-
r
=
0.00126
H! = r 1 (e
H!
=
3)4.6# mm 2
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
"ameter
D,/$*k*$ %/*$,*$ /%** 4
D
250
=
1 1 18
-
2
26)Q6 0.40#66
= 1134.115
OK
2
mm 250
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 111#6 m mm m
7c 7c
= 2622041 = III ton
7 = F 1 e
7 7
= =
7u = 7/f
7u
=
III
%yarat > 7u A f7c
#2.0041 A
III
Vc= 1 / 6× √ f ' c ×b$ ×deff
5225)5 III ton ton
.T*k ((&/k*$ %/*$,*$ ,(3(&
CALCULATION DESIGN OF FOUNDATION 150 kV TRANSMISSION LINE OF KALTENG-1 KALTENG-1 2X100 MW DD$6 CLASS % DATA TEKNIS PERENCANAAN
Mutu Beton f'c fy g eton g tana* qcrata -rata Koe!"en ge!er b1 $! ec %e&"mut Beton on(a!" %e&"mut Beton Ko&om
= = = = = = = = = = = =
K225 225 320 2.40 1.60 50.00 0.45 0.#5 210000 0.003 )5.00 )5.00
%u(ut ge!er (a&am tana*
=
20.00
DATA BEBAN
= = = =
1#.1) ton 110.24 ton #.)2 ton
+aya ,atera& +aya ekan +aya ar"k
kg/cm2 Mpa t/m3 t/m3 kg/cm2
Mpa mm mm 0
DIMENSI PONDASI
,ear &engan pe&at 1 1 ,ear &engan pe&at 2 2 ea& e&at a ,ear !&a * ea& !&a f a&am pon(a!" (f
= = = = = =
4.5 2.25 0.4 2.2 0.4 3.5
m m m m m m
Kem"r"ngan !tu a) "ngg" *ymey (" ata! tana* *t "ngg" *ymney , ,ear *ymney ,ear &engan !&a g
= = = = =
#1.16 0.4 3.13)2) 0.)5 0.)25
= =
1.)64)1 m m3 3 4.23531 to ton
= =
10.036 m3 24.0#64 to ton
0
m m m m
BERAT PONDASI
1 Berat Berat ko&om ko&om 7o&ume Ko&om Berat ko&om 2 Berat Berat pe&at pe&at 7o&ume pe&at Berat e&at BERAT TANAH
Berat tana* !eaga" pena*an gaya 8p &"9 :!u ("mo(e&kan !eaga" entuk ,"ma! %eg"empat terpancung b'
b' " ! b1 b1
anDang !"!" ata! ' = 1 < 2 (f tan f 7o&ume ,"ma! erpancung 7!u;
=
Vsu=1/ Vsu=1/3timesital df times left(b1 rSup {size 8{2}} +b'rSup {size8{2} }+ sqrt {b1 rSup rSup {size 8{2} } timesb'rSup {size 8{2} }} right)} {
).05 m
=
11#.5# m3
= =
106.)# m3 1)0.#4 ton
¿
ota& 7o&ume ana* 7!u = 7!u; - 7tota& Berat ana* ana* untuk 8p &"9 :!u = g tana* 7!u KONTROL PONDASI K#$% %(&)**+ ,** UPLIFT .T/
u = :p < :!u u/1.5
= =
1.16 ton 132.)) ton
#.)2
ton to
=
16.6)
ton/m2
=
0.40) m
=
12.6#2 ton/m2 A
16.6)
ton/m2
OK
= -1.#0111 ton/m2 A
16.6)
ton/m2
OK
=
OK
OK
K#$% T(&)**+ G/$, Momen Resistance (MR)
- Mrconc = :p &engan - Mr!o"& = :!u &engan ("mana > &engan = 1/2
= = =
63.)23# to ton.m 3#4.3 ton.m 2.25 m
- M = (f - Momen ta*anan ak"at gaya tekan pa!"f tana*
=
63.52 ton.m 63
p = 0.5 (f 2 gtana* Kp Mp = p (f 1/3 - M+ re!u&t = M - Mp - %? = M@/M+ 2
= = = =
).35 #.5)5 55.01) #. #.144#
=
1.6)
Momen Guling (MG)
ton ton.m to ton.m 2
OK
K#$% T(&)**+ D** D/k/$, T*$*) .B(*&$, C*+*%
qa&& = qcrata-rata /30
ex = ey =
M N
smak! sm"n
N 6 ex 6 ey σ = ( 1± ± ) A L B
kg/cm2
("mana >
s = egangan tana* ak"at gaya-gaya &uar t/m 2 = +aya-Cerka& yang ekerDa pa(a pon(a!" ton H = ,ua! tapak pon(a!" m 2 ,EB = anDang (an &ear pon(a!" eEey= $k!entr"!"ta! ara* (an y K#$% T(&)**+ G** L*%(&*
Fs= δ
x
N >1 ! H
2.)3035
1.5
("mana > d = koe!"en ge!er K#$% T(&)**+ G(3(& 1 A&*) 500
d
(! = %e&"mut eton < /2 ( = -(! a = ,/2 - /2 - ( sa = smin+(L-a).( smaks-smin)/L
a
= = = =
#4.50 )15.5 .5 126.266
mm mm mm = k/m2
7u = B.a.F!uneGo < Hq1
=
303#)
q1 = .gtana*
=
43200 /m2
=
0.0432 /mm 2
=
1200 /m2
=
0.012 /mm 2
0.005
m
d ds L
min a
max
Gaya tekan ke atas dari tanah (Vu) = 0.201) Mpa
q2 = a'.geton h
d
b
Gaya geser yang dapat ditahan beton ( f.Vc)
f.Vc = f.√f'c.B.d/6 Vu < f.Vc 4E+0, < 3E+0,
=
OK
33326.4#) =
33.3264#)2 k
K#$% T(&)**+ G(3(& 2 A&*) L / 2
L / 2
i!e i!ens nsii ko"o! o"o!## b = 3, 3,0 0 !! b + d = h + d = 3, 0 + 3 16 = d B
b d
d
h
-. = hk / bk =
d
1465.5 mm
=
1.4655 m
Gaya tekan ke atas (gaya geser pons) % Vu= &' * (b+d (b+d)( )(h+ h+ Qsunetto = E+0, = 3124 k 1
bo= 2 &(bk &(bk + d) d) + (hk (hk + d) d) = , 6 2 !! d ds L
min max
Gaya geser yang ditahan o"eh beton ( f . Vc): V. = (1+(2/-.) ( Ö f'c bo d ) / 6 = 553,64 = 553,64 k = 5 5 k V. = (2 + (as . d) / (bo)).( Ö f'c = 5 4 63 15 = 5 4 3 k
bo d ) / 12
V. = 1/4 Ö f'c bo d = 6 6 4 13 05 = 6 64 2 k ipi"ih V. terke.i" f.7c =
6642 k 0.)5 . = 4)3.)#2 k
7u A f.7c .7c
OK
Cek Kelangsingan Struktur KxL r
31.4424 A
< 22
r = 0.3 K = 2 kan&eCer
r K
Jp(!t& = 1/12 3 $c = 4)00 f'c Jp(!t& $c
= =
225 2
Jp(!t& =
0.5
$c
=
22
.K(*$,3$,*$ .K(*$,3$,*$ b(&+($,*&/)
mm
3$<10 mm4 2224.1 Mpa
=
6$<14 mm2
=
6$<11 kmm2
Faktor pembesar momen ( ) δ =
Cm Pu 1− φ × Pc
d
"mana > m = 1 kon!erCaf u = j = 0.65 c = p2 Jp(!t& $c / k , 2
=
³ 1.00
1
m = u = j =
1 110.242 ton 0.65
c
1.5$<11 ton
=
Ok
Penulangan Pedestal
M1 = , M2 = e m"n Mt = M1 < M2 M = d Mt Mnper&u = M/j nper&u = /j
M1
=
5) 5).0022 ton.m
M2 Mt M
= = =
4.1340) ton.m 61.1363 ton.m 61.1363 ton.m
Mnper&u = nper&u =
4.055# ton.m 16.603 ton
Ek3($%&3%*3 4
e = Mn per&u/nper&u
e em"n
em"n = 15 < 0.03 %yarat > e e m"n
=
554.565 mm
=
3).5
554.565
3).5
H%/$, $*
%umu 7erka&
Pu ϕ× Ag × β 1× f ' c
0.15456
("mana > 1
III
mm OK
%umu or"onta&
()
Pu e × ϕ × Ag × β 1× f ' c b
0.1142
(ar" ("agram "nterak!" ko&omE ("pero&e* > per*akan !umu Cerka& (an *or"onta& maka > 6
r'
7&
b'
= =
0.0100 0.
r
=
0.000
H!tot
=
5062.5 mm2
n '
= = =
20 1 566).) 1
L/*3 T/*$,*$ 4
H!tot = r Hg %e*"ngga ("gunakan tu&angan Lum&a* "ameter H! terpa!ang
20
D,/$*k*$ %/*$,*$ /%** 4
5062.5
OK
Penulangan er!adap "eser
L/2
Diagram geser
Vud deff Vu
7u = 7u( = penampang kr"! pertama pa(a Darak (e 7u(/7u = ,/2-(e/,/2 (e = &ear efekf (e= - 0.5("a.u& utama - ("a.%engkang - !e&"mut eton
7u
=
7u( =
1#.1)
ton
10364
(ef =
655.5
mm
Kapa!"ta! ge!er
Vc= 1 / 6× √ f ' c ×b ×deff Vn
=
Vud φ
("mana > f = 0.65 %yarat > 7u( f 7c
Av Av
=
Av =
3##664 ton
7n
=
1552 ton
f
=
1""" ' c b 1"""
HC1
=
)#1.25 !!2
HC2
=
64.#36 !!2
HC
=
)#1.25 !!2
%
=
201.062 mm
% % % %
N N N N
304 4#0 32).)5 600
0.65 25 252 2631
"gun "gunak akan an u&ang &angan an +e!e +e!err M"n" M"n"mu mum m
12"" 12"" fy
("paka"
S=
=
1036 36 3.#
b 1""" 1""" 3 fy
#! √ f
7c
1/ $ n
d! 1""" Avu
%yarat > % N 16 % N 4#.("a !engkang % N (/2 % N 600 mm
mm mm mm mm
%e*"ngga ("gunakan tu&angan ge!er "ameter Larak antar tu&angan
O %
= =
10 200
mm A 201.061
D,/$*k*$ %/*$,*$ 3($,k*$, 4
O
10
-
200
P(b(3*$ T*+*k P#$*3
%econ (
=
#00
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - (" ("a.u& - !e&"mut eton
H! = ( = (e =
Hg = 1 1
Hg
1
mm
2#3.52 mm2 #00 mm 66.5 mm
= 5062500 mm2
OK
e = 2 Mu = 0.5 F 1 eP
Mu "
" 8 ×b 1× deff
e = Mu =
(
= #× fy × 1−"!88 #×
fy f 'c
2250 III
0.#114 = 2 26)6Q -
)
H! = r 1 (e
.mm 320Q Q 320
r
=
0.0024#
H!
=
1)30.13 mm2
III -
2
26)Q6 0.#11403
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
160
= 1))2.055
"ameter
=
1 1
mm2
D,/$*k*$ %/*$,*$ /%** 4
D
18
-
OK
1:0
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 115#6 m mm m
7c 7c
= 63)61# = III ton
7 = F 1 e
7 7
= =
III 12#.4)# ton
7u = 7/f
7u
=
1).65 ton
%yarat > 7u A f7c
1).65 A
Vc= 1 / 6× √ f ' c ×b$ ×deff
%econ (
P(b(3*$ T*+*k P#$*3
=
400
422.6
.T*k ((&/k*$ %/*$,*$ ,(3(&
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - ("a.u& - !e&"mut eton
H! = ( = (e =
1
mm
2#3.52 mm2 400 mm 26.5 mm
Hg = 1 1
Hg
= 5062500 mm2
F=s
!
=
!
=
III
e
=
1100
Mu =
III
e = */ 2 Mu = 0.5 F 1 eP
Mu
(
fy = #× fy × 1−"!88 #× " f 'c " 8 ×b 1× deff
H! = r 1 (e
12.6#2 t/m2
0.5350# = 2 26)6Q -
)
/mm 2
.mm 320Q Q 320
r
=
0.00165
H!
=
4#.041 mm 2
-
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
250
= 1134.115
"ameter
=
1 1
mm2
D,/$*k*$ %/*$,*$ /%** 4
D
18
-
2
26)Q6 0.5350#1
OK
250
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 101#6 m mm m
7c 7c
= 23#)63) = III ton
7 = F 1 e
7 7
= =
7u = 7/f
7u
=
III
%yarat > 7u A f7c
6.6331 A
III
Vc= 1 / 6× √ f ' c ×b$ ×deff
615) III ton ton
.T*k ((&/k*$ %/*$,*$ ,(3(&
CALCULATION DESIGN OF FOUNDATION 150 kV TRANSMISSION LINE OF KALTENG-1 KALTENG-1 2X100 MW 4CC6 CLASS % DATA TEKNIS PERENCANAAN
Mutu Beton f'c fy g eton g tana* qcrata -rata Koe!"en ge!er b1 $! ec %e&"mut Beton on(a!" %e&"mut Beton Ko&om
= = = = = = = = = = = =
K225 225 320 2.40 1.60 50.00 0.45 0.#5 210000 0.003 )5.00 )5.00
%u(ut ge!er (a&am tana*
=
20.00
DATA BEBAN
= = = =
2#.#4 ton 15#.1# ton 12#.24 ton
+aya ,atera& +aya ekan +aya ar"k
kg/cm2 Mpa t/m3 t/m3 kg/cm2
Mpa mm mm 0
DIMENSI PONDASI
,ear &engan pe&at 1 1 ,ear &engan pe&at 2 2 ea& e&at a ,ear !&a * ea& !&a f a&am pon(a!" (f
= = = = = =
6 3 0.6 2.# 0.5 3.5
m m m m m m
Kem"r"ngan !tu a) "ngg" *ymey (" ata! tana* *t "ngg" *ymney , ,ear *ymney ,ear &engan !&a g
= = = = =
#1.16 0.4 2.#3366 0.)5 1.025
= =
1.533 m m3 3 3.#2544 to ton
= =
25.52 m3 61.24# ton
0
m m m m
BERAT PONDASI
1 Berat Berat ko&om ko&om 7o&ume Ko&om Berat ko&om 2 Berat Berat pe&at pe&at 7o&ume pe&at Berat e&at BERAT TANAH
Berat tana* !eaga" pena*an gaya 8p &"9 :!u ("mo(e&kan !eaga" entuk ,"ma! %eg"empat terpancung b'
b' " ! b1 b1
anDang !"!" ata! ' = 1 < 2 (f tan f 7o&ume ,"ma! erpancung 7!u;
=
Vsu=1/ Vsu=1/3timesital df times left(b1 rSup {size 8{2}} +b'rSup {size8{2} }+ sqrt {b1 rSup rSup {size 8{2} } timesb'rSup {size 8{2} }} right)} {
#.55 m
=
1#).0# m3
= =
15.6 m3 255.4 ton
¿
ota& 7o&ume ana* 7!u = 7!u; - 7tota& Berat ana* ana* untuk 8p &"9 :!u = g tana* 7!u KONTROL PONDASI K#$% %(&)**+ ,** UPLIFT .T/
u = :p < :!u u/1.5
= =
321.01 ton 214.01 ton
12#.24 ton
OK
K#$% T(&)**+ G/$, Momen Resistance (MR)
- Mrconc = :p &engan - Mr!o"& = :!u &engan ("mana > &engan = 1/2
= = =
15.22 ton.m )6).#21 to ton.m 3 m
- M = (f - Momen ta*anan ak"at gaya tekan pa!"f tana*
=
100.43 ton.m 10
p = 0.5 (f 2 gtana* Kp Mp = p (f 1/3 - M+ re!u&t = M - Mp - %? = M@/M+ 2
= = = =
).35 #.5)5 2.36#4 10 10.4261
=
1.6)
Momen Guling (MG)
ton ton.m to ton.m 2
OK
K#$% T(&)**+ D** D/k/$, T*$*) .B(*&$, C*+*%
qa&& = qcrata-rata /30
ex = ey =
M N
smak! sm"n
N 6 ex 6 ey σ = ( 1± ± ) A L B
kg/cm2
=
16.6)
ton/m2
=
0.5#33 m
=
.5255 ton/m2 A
16.6)
ton/m2
OK
= -0.)3)5) ton/m2 A
16.6)
ton/m2
OK
=
OK
("mana >
s = egangan tana* ak"at gaya-gaya &uar t/m 2 = +aya-Cerka& yang ekerDa pa(a pon(a!" ton H = ,ua! tapak pon(a!" m 2 ,EB = anDang (an &ear pon(a!" eEey= $k!entr"!"ta! ara* (an y K#$% T(&)**+ G** L*%(&*
Fs= δ
x
N >1 ! H
2.46#12
1.5
("mana > d = koe!"en ge!er K#$% T(&)**+ G(3(& 1 A&*) 500
d
(! = %e&"mut eton < /2 ( = -(! a = ,/2 - /2 - ( sa = smin+(L-a).( smaks- smin)/L
a
= = = =
#4.50 1015.5 .5 4.0))
mm mm mm = k/m2
7u = B.a.F!uneGo < Hq1
=
4005#3
q1 = .gtana*
=
3#400 /m2
=
0.03#4 /mm 2
=
26400 /m2
=
0.0264 /mm 2
0.005
m
d ds L
min a
max
Gaya tekan ke atas dari tanah (Vu) = 0.2665) Mpa
q2 = a'.geton h
d
b
Gaya geser yang dapat ditahan beton ( f.Vc)
f.Vc = f.√f'c.B.d/6 Vu < f.Vc E+0, < 1E+06
=
OK
16#52#.#1 =
16#5.2##06 k
K#$% T(&)**+ G(3(& 2 A&*) L / 2
L / 2
i!e i!ens nsii ko"o! o"o!## b = 3, 3,0 0 !! b + d = h + d = 3,0 + $$ $$$ = d B
b d
d
h
-. = hk / bk =
d
1)65.5 mm
=
1.)655 m
Gaya tekan ke atas (gaya geser pons) % Vu= &' * (b+d (b+d)( )(h+ h+ Qsunetto = 1E+06 = 1 2 ,5 k 1
bo= 2 &(bk &(bk + d) d) + (hk (hk + d) d) = 3 0 62 !! d ds L
min max
Gaya geser yang ditahan o"eh beton ( f . Vc): V. = (1+(2/-.) ( Ö f'c bo d ) / 6 = 1300614 = 130061 k = 13 00 5 k V. = (2 + (as . d) / (bo)).( Ö f'c = 135 135, ,4 4 = 13 5 5 k
bo d ) / 12
V. = 1/4 Ö f'c bo d = 1144 114450 503, 3, = 11 44 5 k ipi"ih V. terke.i" f.7c =
114 445 k 0.)5 . 11 = #504.30) k
7u A f.7c
OK
Cek Kelangsingan Struktur KxL r
2#.)436 A
< 22
r = 0.3 K = 2 kan&eCer
r K
= =
Jp(!t& = 1/12 3
Jp(!t& =
$c = 4)00 f'c 0.5 Jp(!t& $c
$c
=
225 2
22
.K(*$,3$,*$ b(&+($,*&/)
mm
3$<10 mm4 2224.1 Mpa
=
6$<14 mm2
=
6$<11 kmm2
Faktor pembesar momen ( ) δ = 1−
Cm Pu φ × Pc
"mana > m = 1 kon!erCaf u = j = 0.65 c = p2 Jp(!t& $c / k , 2
d
=
³ 1.00
1
m = u = j =
1 15#.1#5 ton 0.65
c
1.#$<11 ton
=
Ok
Penulangan Pedestal
M1 = , M2 = e m"n Mt = M1 < M2 M = d Mt Mnper&u = M/j nper&u = /j
M1
=
#1 #1.)255 ton.m
M2 Mt M
= = =
5.312 ton.m #).65)4 ton.m #).65)4 ton.m
Mnper&u = nper&u =
134.#5# ton.m 243.361 ton
Ek3($%&3%*3 4
e = Mn per&u/nper&u em"n = 15 < 0.03 %yarat > e e m"n
e em"n
=
554.14) mm
=
3).5
554.14)
3).5
H%/$, $*
%umu 7erka&
Pu ϕ × Ag × β 1× f ' c ("mana >
0.221)#
mm OK
%umu or"onta&
()
Pu e × ϕ × Ag × β 1× f ' c b
0.163#)
(ar" ("agram "nterak!" ko&omE ("pero&e* > per*akan !umu Cerka& (an *or"onta& maka > 6
r'
7&
b'
= =
0.0140 0.
r
=
0.0126
H!tot
=
)0#).5 mm2
L/*3 T/*$,*$ 4
H!tot = r Hg %e*"ngga ("gunakan tu&angan Lum&a* "ameter H! terpa!ang
n '
= 24 = 21 = #30#.44 21
24
D,/$*k*$ %/*$,*$ /%** 4
)0#).5
OK
Penulangan er!adap "eser
L/2
Diagram geser
Vud deff Vu
7u = 7u( = penampang kr"! pertama pa(a Darak (e 7u(/7u = ,/2-(e/,/2 (e = &ear efekf (e= - 0.5("a.u& utama - ("a.%engkang - !e&"mut eton
7u
=
7u( =
2#.#4
ton
15213)
(ef =
654.5
mm
Kapa!"ta! ge!er
Vc= 1 / 6× √ f ' c ×b ×deff Vn
=
Vud φ
("mana > f = 0.65 %yarat > 7u( f 7c
Av Av
=
Av =
b 1""" 1""" 3 fy
#! √ f
1""" ' c b 1""" 12"" 12"" fy
1/ $ n
=
3##0)1 ton
7n
=
23405) ton
f
=
1521 213 3).1
("paka"
S=
7c
d! 1""" Avu
%yarat > % N 16 % N 4#.("a !engkang % N (/2 % N 600 mm
HC1
=
)#1.25 !!2
HC2
=
64.#36 !!2
HC
=
)#1.25 !!2
%
=
201.062 mm
% % % %
N N N N
336 4#0 32).25 600
0.65 252246
mm mm mm mm
%e*"ngga ("gunakan tu&angan ge!er "ameter Larak antar tu&angan
O %
= =
10 200
mm A 201.061
D,/$*k*$ %/*$,*$ 3($,k*$, 4
O
10
-
200
P(b(3*$ T*+*k P#$*3
%econ (
=
1100
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - (" ("a.u& - !e&"mut eton
H! = ( = (e =
Hg = 1 1
Hg
1
"g "gunak unakan an u&an u&ang gan +e!e +e!err M"n" M"n"m mum
mm
2#3.52 mm2 1100 mm 6.5 mm
= 000000 mm2 t/m2
OK
e = 2 Mu = 0.5 F 1 eP
Mu
e = Mu =
(
fy = #× fy × 1−"!88 #× " f 'c " 8 ×b 1× deff
3000 III
0.5201 = 2 26)6Q -
)
.mm 320Q Q 320
-
r
=
0.00163
H! = r 1 (e
H!
=
1625.1 mm 2
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
"ameter
D,/$*k*$ %/*$,*$ /%** 4
D
160
=
1 1 18
-
III 2
26)Q6 0.52005
= 1))2.055
OK
2
mm 1:0
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 151#6 m mm m
7c 7c
= =
1.2$<0) III ton
7 = F 1 e
7 7
= =
III 1)1.461 ton
7u = 7/f
7u
=
263.)#6 ton
%yarat > 7u A f7c
263.)#6 A
Vc= 1 / 6× √ f ' c ×b$ ×deff
%econ (
P(b(3*$ T*+*k P#$*3
=
500
)3.1#5
.T*k ((&/k*$ %/*$,*$ ,(3(&
mm
ata - (ata > u&angan 8tama
1 =
(=a (e= ( - 0.5("a.u& - ("a.u& - !e&"mut eton
H! = ( = (e =
1
mm
2#3.52 mm2 600 mm 46.5 mm
Hg = 1 1
Hg
= 000000 mm2
F=s
!
=
!
=
III
e
=
1400
Mu =
III
e = */ 2 Mu = 0.5 F 1 eP
Mu
(
fy = #× fy × 1−"!88 #× " f 'c " 8 ×b 1× deff
.5255 t/m2
0.23204 = 2 26)6Q -
)
/mm2
.mm 320Q Q 320
-
r
=
0.000)2
H! = r 1 (e
H!
=
35).#65 mm 2
%e*"ngga ("gunakan tu&angan Larak tu&angan
!
=
"ameter
D,/$*k*$ %/*$,*$ /%** 4
D
250
=
1 1 18
-
2
26)Q6 0.23203#
= 1134.115
OK
2
mm 250
Penulangan er!adap "eser apak Pondasi
bc o = 4 c < (e
bc = o =
1 13#6 m mm m
7c 7c
= 54#)53 = III ton
7 = F 1 e
7 7
= =
7u = 7/f
7u
=
III
%yarat > 7u A f7c
123.1
A
III
Vc= 1 / 6× √ f ' c ×b$ ×deff
)#4461 III ton ton
.T*k ((&/k*$ %/*$,*$ ,(3(&
$KH H@JK +$%$@ @6<0 10#0.3) #).21 1)#.06 k 46<0 k 46<3 1640.52 13 22 33. k k 46< 1662.444 12#.43 32.))# k 46<12 1551.) 125#.0) 2#2.3 k 4BB6<6 1;:0<81 120=<18 21:<0> k 4BB6<3 1453.332 1201.4# 21.53 k
4.4 Perhitungan Perencanaan Sloof dan Kolom Perletakan 4.4.1 4.4.1 Perhit Perhitunga ungan n per perenc encanaa anaan n Sloo Sloof f
Direncanakan dimensi sloof =
20
x
30
cm
Beban-beban yang bekerja pada sloof adalah : Berat sendiri sloof Berat dinding !#2 bata
0.2
0.3
200 =
! "g#m
3
2$0
=
%$0 "g#m
=
&' "g#m
(ehigga model pembebanannya seperti pada gambar berik)t : *
=
&' "g#m
L
+omen lapangan ,
= !#2.*.2 &' 20.2$ = 2 =
+omen t)mp)an , -
%$.3!3 "g.m
= !#!2.*.2 =
&' 20.2$ !2
= Desain tulangan utama
Tulangan lapangan ( M + )
!$0&./3 "g.m
!.
ρmin
=
!. =
=
f y
0.00
3$0
ρmaks = 0.%$ β1
0.&$.fc
/00
f y
/00 f y
0.&$ = 0.%$
2$
/00
0.&$ 3$0
=
/00
3$0
0.02$ /00
a b
= β1
d /00 f y /00
= 0.&$
2/ /00
= amaks
3$0
!32.0/3 mm
= %$4.a b
=
0.%$
!32 =
''
mm
1it)ng : +nada =
0.&$.fc.b.amaks
amaks d
2
= 0.&$
= +nperl) =
2$
200
''
2/
- '.$2
&2%0/'/3./$3 .mm +)
%$3!2$ =
Φ
=
'2&'0/.2$
.mm
0.&
"arena +nada 5 +nperl) maka dig)nakan t)langan t)nggal
f y m
3$0
=
= 0.&$.fc
6 n
= !/.%0/ 0.&$
+)
2$ %$3!2$
=
=
Φ.b.d
= 0.%%' +pa
2
0.&
200
/0$!/
1it)ng : 2.m.6 n
!
ρ
=
!
-
!
f y
m !
2$.//2/
=
!
-
!
-
!/.%0/ =
3$0
0.0022%
"ontrol rasio t)langan
ρ 7 ρmin 7 ρmaks
dig)nakan rasio t)langan minim)m
dengan demikian l)as t)langan yang diperl)kan adalah : 8s
= ρmin.b.d =
0.00
200
2/
= !'/.& mm2 dig)nakan t)langan
Φ
2
!2
=
Tulangan tumpuan ( M - ) !.
ρmin
=
!. =
f y
ρmaks = 0.%$ β1
=
0.00
3$0 0.&$.fc
/00
f y
/00 f y
22/ mm2
0.&$ = 0.%$
2$
/00
0.&$ 3$0
=
/00
3$0
0.02$ /00
a b
= β1
d /00 f y /00
= 0.&$
2/ /00
= amaks
3$0
!32.0/3 mm
= %$4.a b
=
0.%$
!32 =
''
mm
1it)ng : +nada =
0.&$.fc.b.amaks
amaks d
2
= 0.&$
= +nperl) =
2$
200
''
2/
- '.$2
&2%0/'/3./$3 .mm +)
!$0&/2$0 =
=
Φ
!&&$%&!2.$
.mm
0.&
"arena +nada 5 +nperl) maka dig)nakan t)langan t)nggal f y m
3$0
=
= 0.&$.fc
6 n
= !/.%0/ 0.&$
+)
2$ !$0&/2$0
=
=
Φ.b.d
2
= !.$$& +pa 0.&
200
/0$!/
1it)ng : 2.m.6 n
!
ρ
=
!
-
!
f y
m !
$!.32$!
=
!
-
!
-
!/.%0/ =
3$0
0.00/3
"ontrol rasio t)langan
ρmin 7 ρ 7 ρmaks dengan demikian l)as t)langan yang diperl)kan adalah : 8s
= ρ.b.d =
0.00/3
=
22&
200
2/
mm2
dig)nakan t)langan
Φ
3
!2
=
33' mm2
Analisis tulangan utama
Tulangan lapangan ( M + ) 8sterpasang
ρada
=
22/.!'$ =
=
b.d
'200
ρmin 7 ρada 7 ρmaks
OK!!!
8sterpasang.f y a
=
0.00/
22/
3$0
= 0.&$.fc.b
= !&./3 mm 0.&$
(ehingga momen nominal adalah a =
2$
200
.
nada
s
-
y
2 =
22/
3$0
2/ -
'.3!
= !&%3%''%.22%% .mm "ontrol keamanan penampang : +nada 5 +)
OK!!!
Tulangan tumpuan ( M - ) 8sterpasang
ρada
=
33'.2'2 =
=
b.d
'200
ρmin 7 ρada7 ρmaks
OK!!!
8sterpasang.f y a
0.00/'
33'
=
3$0
=
= 2%.' mm
0.&$.fc.b
0.&$
2$
200
(ehingga momen nominal adalah a +nada = 8s.f y d
2
=
33'
3$0
2/ -
!
= 2%$$3'%2.&%&% .mm "ontrol keamanan penampang : +nada 5 +)
OK!!!
Pemeriksaan tulangan geser
Besar gaya geser rencana adalah *. 9)
=
&'
.$
= 2
= 2
20!!.$
"g
Vu=1/2.q.L Vud
246 mm
Vu=1/2.q.L
2250 mm
Berdasarkan gambar di atas< maka besar gaya geser , 9 )d adalah 9)d
22$0 -
2/
= 20!!.$
22$0 200
9)d
20!!.$
=
= !%'!.$&
"g
22$0 1it)ng 9n
9) =
!%'!.$& =
= 2'&/
;
0./
! 9c
2$
200
2/
fc.b.d =
= /
=
"g
/
!000
= !00
"g
check : 2. fc.b.d
2
$
200
2/
= 3
3 =
9) =
!/000 =
!/00 "g
-
-
c
; =
-!!!.0
"g
>adi : !/00
5
-!!!.0
(Penampang ukup
Aheck nilai Φ.9c : 0./
!00
=
2/0
"g
5
!%'!.$& "g
dig)nakan t)langan sengkang praktis : diambil jarak sengkang s 7 d#2 s = 8@ =
!2
cm
b.s
=
!20
200
!20
3
8s = !#2.8@
!23 cm
mm
= 22.&/ mm2
= 3.f y
=
3$0
= !!.3 mm2
g)nakan sengkang ; &
-
!20
4.4. 4.4." " Kolo Kolom m Perle Perleta taka kan n
Direncanakan mengg)nakan dimensi kolom 0 cm x 0 cm< dengan panjang kolom perletakan = 2 m , 200 cm . dari hasil analisa (8? 2000 @ersi ' diperoleh : ?)
=
!!!!%.! "g
+) =
!02.!'
"g . m
9)
$&&./%
"g
=
Desain kolom perletakan
")at tekan rencana maksim)m , ;?n,maks komponen str)kt)r tekan adalah :
Φ?n,maks
= 0.&0.Φ., 0.&$.fc.,8g - 8st f y.8st
8st
= )as )as t)la t)lang ngan an tota totall =
rt.8g
= 0.02
Φ?n,maks
=
32
=
0.&
=
0
0
cm2 0./$ 2!2.$ !/00 -
23!$0
32
!!2000
"g
"ontrol kek)atan penampang : ?)
≤ Φ?n,maks
!!!!%.! ≤
23!$0
OK!!!
6adi)s girasi dari penampang adalah : r
2!3333.333
=
=
=
8
!!.$%
!/00
ata) r
= 0.3.h =
0.3
=
!2
0
Cnt)k komponen str)kt)r tekan dari rangka tak bergoyang< faktor panjang efektif , " har)s diambil sama dengan !.0< ".)
! =
200 =
. r
!2
( Kelangsingan dia#aikan
ksentrisitas dari penampang adalah : et =
+)
!02!' =
?)
= 0.%2$%%
cm
!!!!%.!
Cnt)k menghit)ng rasio t)langan dengan mengg)nakan grafik < maka besaran tak berimensi yang dib)t)hkan adalah : -
Cnt)k s) s)mb) @e @ertikal ?) "! =
Φ.8gr.0.&$.fc =
!!!!%.! 0.&$ !/00 0.&$ 2!2.$
= 0.$%/ -
Cnt) Cnt)k k s)m s)mb) b) hori horiso sont ntal al et "2 =
"!
0.%2$%% = 0.$%/
h
0
dari grafik diperoleh : r =
β = !
0.0!2
r = r.β =
0.0!2
=
0.0!2
(ehingga :
1
= 0.0!02
8st =
r 8g
=
0.0!2
=
!'.2
!/00 cm2
=
3 Φ
dig)nakan t)langan
!'20 !/
mm2
pada d)a sisi
Analisis Kolom Perletakan
)as t)langan terpasang adalah : 8s =
/ !#2.p.D2
=
/ 02.!2
= 2!2.% mm2 5
!'20
OK!!!
1arga r dari t)langan terpasang adalah : 8st
r =
2.!2% =
= 0.0!$0&
8g
!/00
6adi)s girasi t)langan terpasang adalah :
r r =
0.0!$0& =
= 0.0!$0&
E
!
Besarnya besaran tak berdimensi pada s)mb) @ertikal adalah : ?) "! =
Φ.8gr .0.&$.fc =
!!!!%.! 0.&$ !/00 0.&$ 2!2.$
= 0.$%/ dengan harga "! dan r di atas < maka dari grafik diperoleh
nilai "2 =
0.0!3
< sehingga : +r
"2
= ;.8gr .0.&$.fc.h
+r
= "2., ;.8gr .0.&$.fc.h =
0.0!3
0.&$ !/00 0.&$ 2!2.$
0
= !2%%3& "g.cm "ontrol keamanan penampang dan pen)langannya : +r
≥
+)
!2%%3& ≥ !02!'
OK!!!
Pemeriksaan tulangan geser $
9) 9n
= 9)d =
$&&./% "g
9) =
$&&./% =
= '&!.!!%
; 9c
0./ )
fc
!.8g
/
b.d
= !
!!!!%!.
$
= !
00 !
!/0000
/
= !./2''' 0.%/& 00
3&%
= !'3&$& =
!'3&$.& "g
check : 2. fc.b.d
2 !.$&
0
= 3
"g
3
3&.%
3&%
= 9) -
9c
!$03.&$$' "g
= '&!.!!% - !'3&$.&
; = -!&0.//& "g >adi : !$03.&$$' 5
-!&0.//&
(Penampang ukup
Aheck nilai Φ.9c : 0./
!'3&$.& = !!/3!.$ "g
5
$&&./% "g
dig)nakan t)langan sengkang praktis : diambil jarak sengkang s 7 d#2 s = 8@ =
!&
cm
b.s
=
!&0
00
!&0
8s = !#2.8@
mm
= /&.$% mm2
= 3.f y
= !'.3$ cm
3
3$0
= 3.2' mm2
g)nakan sengkang ; !0
-
!&0
2.2$