82685157-tiang-pancang.xls

BAB IV PERHITUNGAN KEKUATAN TIANG PANCANG DAN PONDASI A. PERHITUNGAN PERHITU NGAN KEKUAT KEKUATAN TIANG PANCANG A. DATA TANAH DATA HASIL PENGUJIAN

No

Kedalaman ;$ (m (m) ; (m) $  * . &

%"%% &"%% $%"%% $&"%% %"%%

&"%% $%"%% $&"%% %"%% &"%%

LABORATORIUM (DATA BOR TANAH) 2 g  Jenis Tana! Tana! (7N
SONDIR

:9 (7N
SPT Nilai SPT

N & $ / *& .

( Tabel IV. A.1 Data Tanah )

B. DATA BAHAN Jenis 1iang 'an2ang 3 Be1on 4e01lang Dimensi 1iang 'an2ang5 Panang 1iang 'an2ang5 Ka1 1e7an 4e1on 1iang 'an2ang5 Be0a1 4e1on 4e01lang5

D6 L6 9 2= 6 >2 6

%"*% ."%% & .

m m MPa 7N
C. TAHANAN AKSIAL TIANG PANCANG 1. BERDASARKAN KEKUATAN BAHAN

A 6 ' < . ? D 6 Las 'enam'ang 1iang 'an2ang5 @' 6 A ? L ? >2 6 Be0a1 1iang 'an2ang5 9 2= 6 Ka1 1e7an 4e1on 1iang 'an2ang5 Ka'asi1as d7ng nominal 1iang 'an2ang5

%"%/%/ ,"/+ &%%%

m 7N 7Pa

Pn 6 %"*% ? 9 2= ? A  $" ? @' 6 96 8a71o0 0ed7si 7e7a1an5 9 ? Pn 6 Ta!anan Ta!anan a7sial 1iang 'an2ang5

& %",% *$*"%

7N 7N

2. BERDASARKAN DATA BOR TANAH (SKEMPTON) a. Tahanan ujung

P4 6 A4 ? 24 ? N2 Ta!anan Ta!anan ng ng nominal nominal di!i1ng dengan 0ms 0ms 3 A4 6 Las 'enam'ang ng 4a>a! 1iang (m )5 24 6 Ko!esi 1ana! di 4a>a! dasa0 1iang (7N
m m 7N
. Tahanan g!"!#

Ps 6 S C ad ? 2 ? As  Ta!anan Ta!anan gese7 nominal men01 men01 S7em'1on S7em'1on 3 ad 6 9a71o0 ad!esi 2 6 Ko!esi 1ana! di se'anang 1iang (7N
D 6 %"*%% m As 6 ' ? D ? L$

ad

Ps

(7N) %"-* -+"/-% %"/& $%&"*+% %"&& $*."/$* %"&* *%$"/*-"$.& Ps 6 S ad ? 2 ? As 6 -"$.&

7N

( Tabel IV. A. 2 Perhitungan Tahanan Gesek Nominal Tiang Pancang )

%. Tahanan a#"&a' &ang an%ang Ta!anan Ta!anan nominal nominal 1iang 'an2ang5 'an2ang5 8a71o0 0ed7si 7e7a1an5 Ta!anan Ta!anan a7sial 1iang 'an2ang5 'an2ang5

Pn 6 P4  Ps 6 96 9 ? Pn 6

,*"$* %",% */"--

7N 7N


P4 6 A4 ? 24 ? N2 Ta!anan Ta!anan ng ng nominal nominal di!i1ng dengan 0ms 0ms 3 A4 6 Las 'enam'ang ng 4a>a! 1iang (m )5 24 6 Ko!esi 1ana! di 4a>a! dasa0 1iang (7N
m m 7N
. Tahanan g!"!#

Ps 6 S C ad ? 2 ? As  Ta!anan Ta!anan gese7 nominal men01 men01 S7em'1on S7em'1on 3 ad 6 9a71o0 ad!esi 2 6 Ko!esi 1ana! di se'anang 1iang (7N
D 6 %"*%% m As 6 ' ? D ? L$

ad

Ps

(7N) %"-* -+"/-% %"/& $%&"*+% %"&& $*."/$* %"&* *%$"/*-"$.& Ps 6 S ad ? 2 ? As 6 -"$.&

7N

( Tabel IV. A. 2 Perhitungan Tahanan Gesek Nominal Tiang Pancang )

%. Tahanan a#"&a' &ang an%ang Ta!anan Ta!anan nominal nominal 1iang 'an2ang5 'an2ang5 8a71o0 0ed7si 7e7a1an5 Ta!anan Ta!anan a7sial 1iang 'an2ang5 'an2ang5

Pn 6 P4  Ps 6 96 9 ? Pn 6

,*"$* %",% */"--

7N 7N

*. BERDASARKAN HASIL U+I SONDIR (BAGEMANN) a. Tahanan Tahanan ujung P4 6 > ? A4 ? :2 Ta!anan Ta!anan ng nominal di!i1ng dengan 0ms 3 > 6 9a71o0 0ed7si nilai 1a!anan ng nominal 1iang5 A4 6 las ng 4a>a! 1iang (m)5 :2 6 1a!anan 1a!anan 'ene10asi 'ene10asi 7e02 7e0211 s1a1is ang ang me0'a7an me0'a7an nilai 0a1a0a1 0a1a0a1a a di!i1ng di!i1ng da0i -" a1as dasa0 1iang sam'ai ."D di 4a>a! dasa0 1iang 1 iang (7Na! das :2 6 $ . 1iang 'an2ang5 :2 6 7g<2m .%% 7N6 8a71o0 0ed7si nilai 1a!anan ng nominal 1iang5 %"&% P4 6 > ? A4 ? :2 6 $.-"..% 7N Ta!anan Ta!anan ng nominal 1iang 'an2ang 3 . Tahanan Tahanan g!"!# Ta!anan Ta!anan gese7 nominal men01 S7em'1on S7em'1on di!i1ng dg 0ms 3 Ps 6 S C As ? :9  A9 6 Las 'e0m7aan segmen dinding 1iang (m )" As 6 ' ? D ? L$ :9 6 1a!anan gese7 7e021 s1a1is 0a1a0a1a (7N
%. Tahanan a#"&a' &ang an%ang Ta!anan Ta!anan nominal 1iang 'an2ang5 8a71o0 0ed7si 7e7a1an5 Ta!anan Ta!anan a7sial 1iang 'an2ang5

Pn 6 P4  Ps 6 96 9 ? Pn 6 $

$$/"*. %",% /%".%

7N 7N

,. BERDASARKAN HASIL U+I SPT (ME-ERHO) Ka'asi1as nominal 1iang 'an2ang se2a0a em'i0is da0i nilai N !asil 'engian SPT men01 Mee0!oF dina1a7an dengan 0ms 3

Pn 6 .% ? N4 ? A4  Pn 6 *-% ? ? A4

? As

(7N) (7N)

dan !a0s  N4 6 nilai SPT di se7i1a0 dasa0 1iang5 di!i1ng da0i -"D di a1as dasa0 1iang s"d ."D di 4a dasa0 1iang5  6 nilai SPT 0a1a0a1a di se'anang 1iang5 A4 6 las dasa0 1iang (m ) As 6 las selim1 1iang (m ) Be0dasa07an !asil 'engian SPT di'e0ole! da1a s44" L$ L$ ? N No Kedalaman Nilai SPT ;$ (m) ; (m) N (m) $ %"%% &"%% & &"% &"%  &"%% $%"%% $ &"% ,%"% * $%"%% $&"%% / &"% $*&"% . $&"%% ."%% *% $$"% **%"% ."% $$%"% 6 S L$?N < S L$ 6 /"&% Nilai SPT 0a1a0a1a di se'anang 1iang5 Nilai SPT di se7i1a0 dasa0 1iang (-"D di a1as dasa0 1iang s"d ."D di 4a>a! dasa0 1iang)5 N4 6 *%"%% D6 Dimensi 1iang 'an2ang5 %"*% m L6 Panang 1iang 'an2ang5 ."%% m  A4 6 ' < . ? D 6 %"%/%/ m Las dasa0 1iang 'an2ang5 As 6 ' ? D ? L 6 *"/,++ m Las selim1 1iang 'an2ang5 Pn 6 .% ? N4 ? A4  ? As 6 $-"-.+&&, 7N Pn *-% ? ? A4 6 /*-",/ 7N  Pn 6 /*-",/ 7N Ka'asi1as nominal 1iang 'an2ang5 96 8a71o0 0ed7si 7e7a1an5 %",% 9 ? Pn 6 ..*"% 7N $ Ta!anan a7sial 1iang 'an2ang5

/. REKAP TAHANAN AKSIAL TIANG PANCANG U0aian Ta!anan A7sial Tiang Pan2ang $ Be0dasa07an 7e7a1an 4a!an  Be0dasa07an da1a 4o0 1ana! (S7em'1on) * Be0dasa07an !asil i sondi0 (Bagemann) . Be0dasa07an !asil i SPT (Mee0!oF) Daa d7ng a7sial 1e07e2il5 $ Diam4il 1a!anan a7sial 1iang 'an2ang5

9 ? Pn

No

9 ? Pn 6 9 ? Pn 6

*$*"% */"-/%".% ..*"% ..*"% ..%"%%

7N 7N

( Tabel IV. A.  !eka" Tahanan Aksial Tiang Pancang )

D. TAHANAN LATERAL TIANG PANCANG 1. BERDASARKAN DELEKSI TIANG MAKSIMUM (BROMS) Ta!anan la1e0al 1iang (H) 7a1ego0i 1iang 'anang5 da'a1 di!i1ng dengan 'e0samaan 3

H 6 o ? 7! ? D < C  ? 4 ? ( e ? 4  $ )  %"& dengan5 4 6 C 7! ? D < ( . ? E 2 ? I2 )  D6 D 6 Dimensi 1iang 'an2ang (m)5 %"*% m L6 L 6 'anang 1iang 'an2ang (m)5 ."%% m 7! 6 modls s4g0ade !o0ison1al (7N
2. BERDASARKAN MOMEN MAKSIMUM (BRINCH HANSEN)

9 4 6 %".% ? 9 2= ? $% 6 $%%%% 7N
%"%%.-. ? Hn )  6 ,"&$ %"%%.-. ? Hn %",&%%% ? H  Pe0s"7ad0a1 3 % 6 %"%%.-. ? Hn %",&%%% ? Hn ,"&$ Hn 6 *"/-. 7N Da0i 'e0s" 7ad0a15 di'e0ole! 1a!anan la1e0al nominal5 96 8a71o0 0ed7si 7e7a1an5 %",% 9 ? Hn 6 $+",/ 7N $ Ta!anan la1e0al 1iang 'an2ang5 Da0i 'e0s"(*) 3

M 6

Hn ? (

%",&%

*. REKAP TAHANAN LATERAL TIANG No

U0aian Ta!anan La1e0al Tiang Pan2ang $ Be0dasa07an dee7si 1iang ma7simm  Be0dasa07an momen ma7simm Ta!anan la1e0al 1iang 1e07e2il5 9 ? Hn 6 9 ? Hn 6 $ Diam4il 1a!anan la1e0al 1iang 'an2ang5

9 ? Hn *$"$% $+",/ $+",/ $%"%%

7N 7N

( Tabel IV. A. # !eka" Tahanan $ateral Tiang Pancang )

B. PERHITUNGAN KEKUATAN ONDASI KODE 8ONDASI 3

3

DATA BAHAN PILECAP

Ka1 1e7an 4e1on5 Ka1 lele! 4aa 1langan &eorm (   $ mm )5 Ka1 lele! 4aa 1langan 'olos (   $ mm )5 Be0a1 4e1on 4e01lang5

9 2= 6 9  6 9  6 >2 6

% *+% .% .

MPa MPa MPa 7N
4 6 4 6 a6 !6 ;6 >s 6 as 6

%",% %",% %".% %"&% %"+% $-"%% .%

m m m m m 7N
DATA DIMENSI ONDASI

Le4a0 7olom a0a! 5 Le4a0 7olom a0a! 5 Ja0a7 1iang 'an2ang 1e'i 1e0!ada' sisi la0 4e1on5 Te4al 'ile2a'5 Te4al 1ana! di a1as 'ile2a'5 Be0a1 Qolme 1ana! di a1as 'ile2a'5 Posisi 7olom (dalam 6 .%5 1e'i 6 *%5 sd1 6 %)

( Tabel IV. %. 1 Data %ahan &an Dimensi Pile 'a"e )

DATA BEBAN ONDASI

P7 6 $&%%"%% 7N M 6 &%"%% 7Nm M 6 %"%% 7Nm H 6 $&%"%% 7N H 6 $*%"%% 7N 9 ? Pn 6 ..%"%% 7N 9 ? Hn 6 $%"%% 7N

Gaa a7sial 7olom a7i4a1 4e4an 1e09a71o05 Momen a0a!  a7i4a1 4e4an 1e09a71o0" Momen a0a!  a7i4a1 4e4an 1e09a71o0" Gaa la1e0al a0a!  a7i4a1 4e4an 1e09a71o05 Gaa la1e0al a0a!  a7i4a1 4e4an 1e09a71o05 Ta!anan a7sial 1iang 'an2ang5 Ta!anan la1e0al 1iang 'an2ang5 DATA SUSUNAN TIANG PANCANG

Ssnan 1iang 'an2ang a0a!  3 n ?   No" Jmla! n (m) (m) $ * $"%% *"%%  * %"%% %"%% * * $"%% *"%% S  6 ,"%% n6 + Le4a0 'ile2a' a0a! 5 Le4a0 'ile2a' a0a! 5

Ssnan 1iang 'an2ang a0a!  3 n ?   No" Jmla! n (m) (m) $ * $"%% *"%%  * %"%% %"%% * * $"%% *"%% S  6 n6 + ,"%% L 6 "-% L 6 "-%

m m

( Tabel IV. %. 2 Data %eban Pon&asi &an usunan Tiang Pancang )

1. GA-A AKSIAL PADA TIANG PANCANG

@s 6 L ? L ? ; ? >s 6 Be0a1 1ana! di a1as 'ile2a'5 @2 6 L ? L ? ! ? >2 6 Be0a1 'ile2a'5 To1al gaa a7sial 1e09a71o05 P 6 P7  $" ? @s  $" ? @2 6 ma 6 Lengan ma7simm 1iang 'an2ang a0a!  1!d" 'sa15 ma 6 Lengan ma7simm 1iang 'an2ang a0a!  1!d" 'sa15 min 6 Lengan minimm 1iang 'an2ang a0a!  1!d" 'sa15 min 6 Lengan minimm 1iang 'an2ang a0a!  1!d" 'sa15 Gaa a7sial ma7simm dan minimm 'ada 1iang 'an2ang5

$/"%$ +."%$/,&"*$ $"%% $"%% $"%% $"%%

7N 7N 7N m m m m

'ma 6 P < n  M? ma < S  M? ma < S 6 'min 6 P < n  M? min < S  M? min < S 6 'ma  9 ? Pn Sa0a1 3

/.".$$/"-$

7N 7N

/.".-



..%"%%

$

BAHA-A (NG)

2. GA-A LATERAL PADA TIANG PANCANG Gaa la1e0al a0a!  'ada 1iang5 Gaa la1e0al a0a!  'ada 1iang5 Gaa la1e0al 7om4inasi da a0a!5 !ma 6 !ma  Sa0a1 3  "%&

! 6 H < n 6 ! 6 H < n 6 ( !  ! ) 6 9 ? Hn $%"%%

$

$,",/ $.".. "%&

7N 7N 7N

BAHA-A (NG)

*. TIN+AUAN GESER ARAH 4

d= 6 Ja0a7 'sa1 1langan 1e0!ada' sisi la0 4e1on5 %"$%% m d 6 !  d= 6 %".%% m Te4al e9e71i9 'ile2a'5 2 6 ( L  4  d ) <  6 %"+%% m Ja0a7 4id" 70i1is 1e0!ada' sisi la05 @$ 6 2 ? L ? ! ? >2 6 *%".% 7N Be0a1 4e1on5 @ 6 2 ? L ? ; ? >s 6 .%"-. 7N Be0a1 1ana!5  6 * ? 'ma  @$  @ 6 /&"*/$ 7N Gaa gese0 a0a! 5 4 6 L 6 Le4a0 4idang gese0 n17 1inaan a0a! 5 -%% mm d6 Te4al e9e71i9 'ile2a'5 .%% mm 42 6 4 < 4 6 $"%%%% Rasio sisi 'anang 1!d" sisi 'ende7 7olom5 Ka1 gese0 'ile2a' a0a! 5 diam4il nilai 1e07e2il da0i  2 ang di'e0ole! da0i 'e0s"s44" 3 2 6 C $   < 4 2  ?  9 2= ? 4 ? d < , ? $%* 6 &%."*+, 7N 2 6 C as ? d < 4    ? 9 2= ? 4 ? d < $ ? $%* 6 *$+"+*- 7N 2 6 $ < * ?  9 2= ? 4 ? d ? $%* 6 $,,+"&+/ 7N 2 6 $,,+"&+/ 7N 5 Diam4il5 7a1 gese0 'ile2a'5 9 6 8a71o0 0ed7si 7e7a1an gese05 %"/& 9 ? 2 6 $&"$+- 7N Ka1 gese0 'ile2a'5 Sa0a1 ang !a0s di'en!i5

9 ? 2





$&"$+-

0

/&"*/$

5

AMAN (OK)

,. TIN+AUAN GESER ARAH -

d= 6 Ja0a7 'sa1 1langan 1e0!ada' sisi la0 4e1on5 %"$%% m d 6 !  d= 6 %".%% m Te4al e9e71i9 'ile2a'5 2 6 ( L  4  d ) <  6 %"+%% m Ja0a7 4id" 70i1is 1e0!ada' sisi la05 @$ 6 2 ? L ? ! ? >2 6 *%".% 7N Be0a1 4e1on5 @ 6 2 ? L ? ; ? >s 6 .%"-. 7N Be0a1 1ana!5  6 * ? 'ma  @$  @ 6 /&"*/$ 7N Gaa gese0 a0a! 5 4 6 L 6 Le4a0 4idang gese0 n17 1inaan a0a! 5 -%% mm d6 Te4al e9e71i9 'ile2a'5 .%% mm 42 6 4 < 4 6 $"%%%% Rasio sisi 'anang 1!d" sisi 'ende7 7olom5 Ka1 gese0 'ile2a' a0a! 5 diam4il nilai 1e07e2il da0i  2 ang di'e0ole! da0i 'e0s"s44" 3 2 6 C $   < 4 2  ?  9 2= ? 4 ? d < , ? $%* 6 &%."*+, 7N 2 6 C as ? d < 4    ? 9 2= ? 4 ? d < $ ? $%* 6 *$+"+*- 7N 2 6 $ < * ?  9 2= ? 4 ? d ? $%* 6 $,,+"&+/ 7N 2 6 $,,+"&+/ 7N 5 Diam4il5 7a1 gese0 'ile2a'5 9 6 8a71o0 0ed7si 7e7a1an gese05 %"/& 9 ? 2 6 $&"$+- 7N Ka1 gese0 'ile2a'5 Sa0a1 ang !a0s di'en!i5

9 ? 2





$&"$+-

0

/&"*/$

5

AMAN (OK)

/. TIN+AUAN GESER DUA ARAH (PONS)

d= 6 Ja0a7 'sa1 1langan 1e0!ada' sisi la0 4e1on5 %"$%% m d 6 !  d= 6 %".%% m Te4al e9e71i9 'ile2a'5 B 6 4  d 6 $"%%% m Le4a0 4idang gese0 'ons a0a! 5 B 6 4  d 6 $"%%% m Le4a0 4idang gese0 'ons a0a! 5 P7 6 $&%%"%%% 7N Gaa gese0 'ons a7i4a1 4e4an 1e09a71o0 'ada 7olom5 A' 6  ? ( B  B ) ? d 6 $",%% m Las 4idang gese0 'ons5 4' 6  ? ( B   B ) 6 ."%%% m Le4a0 4idang gese0 'ons5 42 6 4 < 4 6 $"%%%% Rasio sisi 'anang 1!d" sisi 'ende7 7olom5

Tegangan gese0 'ons5 diam4il nilai 1e07e2il da0i 9 ' ang di'e0ole! da0i 'e0s"s44" 3

9 ' 6 C $   < 4 2  ?  9 2= < , 6 "*, MPa 9 ' 6 C as ? d < 4'    ? 9 2= < $ 6 "*, MPa 9 ' 6 $ < * ?  9 2= 6 $".+$ MPa 9 ' 6 Tegangan gese0 'ons ang disa0a17an5 $".+$ MPa 9 6 8a71o0 0ed7si 7e7a1an gese0 'ons5 %"/& * 9 ? n' 6 9 ? A' ? 9 ' ? $% 6 $/--"-& 7N Ka1 gese0 'ons5 9 ? n'  P7 Sa0a1 3 5 0 AMAN (OK) $/--"-&. $&%%"%%%

6. PEMBESIAN PILECAP 6.1. TULANGAN LENTUR ARAH 4

Ja0a7 1e'i 7olom 1e0!ada' sisi la0 'ile2a'52 6 ( L  4 ) <  6 e 6 2  a 6 Ja0a7 1iang 1!d" sisi 7olom5 @$ 6 2 ? L ? ! ? >2 6 Be0a1 4e1on5 @ 6 2 ? L ? ; ? >s 6 Be0a1 1ana!5 Momen ang 1e0adi 'ada 'ile2a'5

$"$%% %"/%% *,"+,% .+"-+,

M 6 * ? ' ma ? e  @$ ? 2 <   @ ? 2 <  6 4 6 L 6 Le4a0 'ile2a' ang di1ina5 !6 Te4al 'ile2a'5 d= 6 Ja0a7 'sa1 1langan 1!d" sisi la0 4e1on5 d 6 !  d= 6 Te4al e9e71i9 'la15 9 2= 6 Ka1 1e7an 4e1on5 9  6 Ka1 lele! 4aa 1langan5 Es 6 Modls elas1is 4aa5 4$ 6 8a71o0 dis10i4si 1eg" 4e1on5 04 6 4$? %"-& ? 9 2V< 9  ? ,%% < ( ,%%  9  ) 6 9 6 8a71o0 0ed7si 7e7a1an len105 Rma 6 %"/& ? 04 ? 9  ? C$W?%"/&? 04 ? 9  < ( %"-& ? 9 2V )  6 Mn 6 M < 9 6 Rn 6 Mn ? $%, < ( 4 ? d ) 6 Rn 5  Rma (OK)

&-",*. -%% &%% $%% .%% % *+% "%%E%& %"-& %"%.&&* %"-% &"++ ,,%"/+ $"./.+-

m m 7N 7N 7Nm mm mm mm mm MPa MPa MPa

7Nm

Rasio 1langan ang di'e0l7an5

0 6 %"-& ? 9 2V < 9  ? C $ 

X$ Y  ? Rn < ( %"-& ? 9 2V ) Z  6 %"%%.% 0min 6 %"%%& Rasio 1langan minimm5 5 0 6 %"%%.% Rasio 1langan ang digna7an5 As 6 0 ? 4 ? d 6 ..*/"& Las 1langan ang di'e0l7an5 D $, Diame1e0 1langan ang digna7an5 s 6 ' < . ? D ? 4 < As 6 Ja0a7 1langan ang di'e0l7an5 $/ sma 6 Ja0a7 1langan ma7simm5 %% 5 s6 Ja0a7 1langan ang digna7an5 $/ D $, $% 7 Digna7an 1langan5  As 6 ' < . ? D ? 4 < s 6 .,+$".& Las 1langan 1e0'a7ai5

mm mm mm mm mm mm

6.2. TULANGAN LENTUR ARAH -

Ja0a7 1e'i 7olom 1e0!ada' sisi la0 'ile2a'52 6 ( L  4 ) <  6 e 6 2  a 6 Ja0a7 1iang 1!d" sisi 7olom5 @$ 6 2 ? L ? ! ? >2 6 Be0a1 4e1on5 @ 6 2 ? L ? ; ? >s 6 Be0a1 1ana!5 Momen ang 1e0adi 'ada 'ile2a'5

$"$%% %"/%% *,"+,% .+"-+,

M 6 * ? ' ma ? e  @$ ? 2 <   @ ? 2 <  6 4 6 L 6 Le4a0 'ile2a' ang di1ina5 !6 Te4al 'ile2a'5 d= 6 Ja0a7 'sa1 1langan 1!d" sisi la0 4e1on5 d 6 !  d= 6 Te4al e9e71i9 'la15 9 2= 6 Ka1 1e7an 4e1on5 9  6 Ka1 lele! 4aa 1langan5 Es 6 Modls elas1is 4aa5 4$ 6 8a71o0 dis10i4si 1eg" 4e1on5 04 6 4$? %"-& ? 9 2V< 9  ? ,%% < ( ,%%  9  ) 6 9 6 8a71o0 0ed7si 7e7a1an len105 Rma 6 %"/& ? 04 ? 9  ? C$W?%"/&? 04 ? 9  < ( %"-& ? 9 2V )  6 Mn 6 M < 9 6 Rn 6 Mn ? $%, < ( 4 ? d ) 6 Rn 5  Rma (OK)

&-",*. -%% &%% $%% .%% % *+% "%%E%& %"-& %"%.&&* %"-% &"++ ,,%"/+ $"./.+-


7Nm

Rasio 1langan ang di'e0l7an5

0 6 %"-& ? 9 2V < 9  ? C $ 

X$ Y  ? Rn < ( %"-& ? 9 2V ) Z  6 %"%%.% 0min 6 %"%%& Rasio 1langan minimm5 5 0 6 %"%%.% Rasio 1langan ang digna7an5 As 6 0 ? 4 ? d 6 ..*/"& Las 1langan ang di'e0l7an5 D $, Diame1e0 1langan ang digna7an5 s 6 ' < . ? D ? 4 < As 6 Ja0a7 1langan ang di'e0l7an5 $/ sma 6 Ja0a7 1langan ma7simm5 %% 5 s6 Ja0a7 1langan ang digna7an5 $/ D $, $% 7 Digna7an 1langan5  As 6 ' < . ? D ? 4 < s 6 .,+$".& Las 1langan 1e0'a7ai5

mm mm mm mm mm mm

*. TULANGAN SUSUT

0smin 6 %"%%$. Rasio 1langan ss1 minimm5 As 6 0smin? 4 ? d 6 Las 1langan ss1 a0a! 5 $&,As 6 0smin? 4 ? d 6 Las 1langan ss1 a0a! 5 $&,8 $ Diame1e0 1langan ang digna7an5  s 6 ' < . ?  ? 4 < As 6 Ja0a7 1langan ss1 a0a! 5 % s5ma 6 Ja0a7 1langan ss1 ma7simm a0a! 5 %% s 6 5 Ja0a7 1langan ss1 a0a!  ang digna7an5 %%  s 6 ' < . ?  ? 4 < As 6 Ja0a7 1langan ss1 a0a! 5 % s5ma 6 Ja0a7 1langan ss1 ma7simm a0a! 5 %% s 6 5 Ja0a7 1langan ss1 a0a!  ang digna7an5 %%  $ %% 7 Digna7an 1langan ss1 a0a! 5  $ %% 7 Digna7an 1langan ss1 a0a! 5

mm mm mm mm mm mm mm mm mm

PERHITUNGAN KEKUATAN TIANG PANCANG

A. DATA TANAH DATA HASIL PENGUJIAN

No

Kedalaman :" (m) : (m) "   $

### $## "### "$## ###

$## "### "$## ### $##

LABORATORIUM (DATA BOR TANAH) 1& γ ϕ Jenis (  ! ) Tanah (4N;m) (4N;m) ## **+ # lem%&n' ### **+ # lem%&n' $## **+ # lem%&n' "#/ # lem% %ada. +"## ""+, " lem% %asi0 +##

SONDIR

89 (4N;m) $+# "# ",-# +# /#

B. DATA BAHAN Jenis .ian' %an1an' 2 Be.on 3e0.&lan' .am%an' lin'4a0an Diame.e0 .ian' %an1an'5 Pan7an' .ian' %an1an'5 K&a. .e4an 3e.on .ian' %an1an'5 Be0a. 3e.on 3e0.&lan'5

D6 L6 9 1< 6 =1 6

## -## $ -

C. TAHANAN AKSIAL TIANG PANCANG 1. BERDASARKAN KEKUATAN BAHAN

L&as %enam%an' .ian' %an1an'5 Be0a. .ian' %an1an'5 K&a. .e4an 3e.on .ian' %an1an'5 Ka%asi.as d&4&n' nominal .ian' %an1an'5

A 6 π ; - > D 6 ?% 6 A > L > =1 6 9 1< 6

Pn 6 ## > 9 1< > A @ " > ? % 6

##/#/ +/* $### $

a4.o0 0ed&4si 4e4&a.an5 Tahanan a4sial .ian' %an1an'5

φ 6 φ > Pn 6

#+# "#


P3 6 A3 > 13 > N1 Tahanan &7&n' nominal dihi.&n' den'an 0&m&s 2 A3 6 L&as %enam%an' &7&n' 3a=ah .ian' (m )5 13 6 Kohesi .anah di 3a=ah dasa0 .ian' (4N;m )5 N1 6 a4.o0 daa d&4&n' D6 Diame.e0 .ian' %an1an'5 ##  A3 6 π ; - > D 6 ##/#/ L&as .am%an' .ian' %an1an'5 13 6 Kohesi .anah di se4i.a0 dasa0 .ian'5 $$## N1 6 a4.o0 daa d&4&n' men&0&. S4em%.on5 * P3 6 A3 > 13 > N1 6 Tahanan &7&n' nominal .ian' %an1an' 2 -*,* b. Tahanan g!"

Ps 6 Σ C ad > 1& > As  Tahanan 'ese4 nominal men&0&. S4em%.on 2 ad 6 9a4.o0 adhesi 1& 6 Kohesi .anah di se%an7an' .ian' (4N;m ) As 6 L&as %e0m&4aan dindin' .ian' (m ) a4.o0 adhesi &n.&4 7enis .anah lem%&n' %ada .ian' %an1an' an' nilaina .e0'an.&n' ad 6 #  C #*,  1& $ nilai 4ohesi .anah5 men&0&. S4em%.on5 diam3il 2 D6 Diame.e0 .ian' %an1an'5 ### As 6 π > D > L" L&as %e0m&4aan dindin' se'men .ian'5 L" 6 %an7an' se'men .ian' %an1an' an' di.in7a& (m) Pe0hi.&n'an .ahanan 'ese4 nominal .ian' L" As 1& ad Ps No Kedalaman :" (m) : (m) (m) (m) (4N;m) (4N)

" ### $##  $## "###  "### "$## - "$## -## Tahanan 'ese4 nominal .ian'5

$# $# $# @""#

-/"-/"-/"@"#+/

## ### $## $$##

#, #/$ #$$ #$

Ps 6 Σ ad > 1& > As 6

,*/,# "#$*# "-/" @#"/, ,"-$ ,"-$

#. Tahanan a"!$a% &$ang 'an#ang

Pn 6 P3  Ps 6 Tahanan nominal .ian' %an1an'5 φ 6 a4.o0 0ed&4si 4e4&a.an5 φ > Pn 6 Tahanan a4sial .ian' %an1an'5 . BERDASARKAN HASIL UI SONDIR (BAGEMANN)

+" #+# /,,

a. Tahanan ujung

P3 6 ω > A3 > 81 Tahanan &7&n' nominal dihi.&n' den'an 0&m&s 2 ω 6 9a4.o0 0ed&4si nilai .ahanan &7&n' nominal .ian'5 A3 6 l&as &7&n' 3a=ah .ian' (m )5 81 6 .ahanan %ene.0asi 4e0&1&. s.a.is an' me0&%a4an nilai [email protected] dihi.&n' da0i ,D a.as dasa0 .ian' sam%ai -D di 3a=ah dasa0 .ian' (4N;m )5 D6 Diame.e0 .ian' %an1an'5 ##  A3 6 π ; - > D 6 ##/#/ L&as .am%an' .ian' %an1an'5 Tahanan %ene.0asi 4e0&1&. s.a.is [email protected] da0i ,D di a.as dasa0 sd -D di 3a=ah dasa 81 6 81 6 $ - .ian' %an1an'5 4';1m -## ω 6 a4.o0 0ed&4si nilai .ahanan &7&n' nominal .ian'5 #$# P3 6 ω > A3 > 81 6 "-,--# Tahanan &7&n' nominal .ian' %an1an' 2 b. Tahanan g!"

Tahanan 'ese4 nominal men&0&. S4em%.on dihi.&n' d' 0&m&s 2 A9 6 L&as %e0m&4aan se'men dindin' .ian' (m ) 89 6 .ahanan 'ese4 4e0&1&. s.a.is [email protected] (4N;m) L" As 89 Ps No Kedalaman :" (m) : (m) (m) (m) (4N;m) (4N)

Ps 6 Σ C As As 6 π > D >

"   -

### $## "### "$##

$## "### "$## -##

$# $# $# @""#

-/"-/"-/"@"#+/

$+# "# ",-# "*$#

+* $/*+ ,+/" @#"+ Ps 6 Σ C As > 89  6 @""#

#. Tahanan a"!$a% &$ang 'an#ang

Tahanan nominal .ian' %an1an'5 a4.o0 0ed&4si 4e4&a.an5 Tahanan a4sial .ian' %an1an'5

Pn 6 P3  Ps 6 φ 6 φ > Pn 6 $

""/#+# /#-#

*. BERDASARKAN HASIL UI SPT (ME+ERHO,,)

Ka%asi.as nominal .ian' %an1an' se1a0a em%i0is da0i nilai N hasil %en'&7ian SPT men&0&. Mee0ho99 dina.a4an den'an 0&m&s 2 dan ha0&s ≤

Pn 6 -# > N 3 > A3  Pn 6 ,# > > A3

> As

N3 6 nilai SPT di se4i.a0 dasa0 .ian'5 dihi.&n' da0i ,D di a.as dasa0 .ian' sd -D di 3a dasa0 .ian'5 F 6 nilai SPT [email protected] di se%an7an' .ian'5 A3 6 l&as dasa0 .ian' (m ) As 6 l&as selim&. .ian' (m ) Be0dasa04an hasil %en'&7ian SPT di%e0oleh da.a s33 L" L" > N No Kedalaman Nilai SPT :" (m) : (m) N (m) " ### $## $ $# $#  $## "### " $# +##  "### "$## / $# "$# "$## -## # @""# @## -# @""## 6 Σ L">N ; Σ L" 6 @/$# Nilai SPT [email protected] di se%an7an' .ian'5 Nilai SPT di se4i.a0 dasa0 .ian' (,D di a.as dasa0 .ian' sd -D di 3a=ah dasa0 .ian')5 N3 6 ###

Diame.e0 .ian' %an1an'5 Pan7an' .ian' %an1an'5 L&as dasa0 .ian' %an1an'5 L&as selim&. .ian' %an1an'5

Pn Ka%asi.as nominal .ian' %an1an'5 a4.o0 0ed&4si 4e4&a.an5 Tahanan a4sial .ian' %an1an'5

D6 ## L6 -## A3 6 π ; - > D 6 ##/#/ As 6 π > D > L 6 /+** Pn 6 -# > N3 > A3  > As 6 @",,-*$$$* ,# > > A3 6 @/,+/  Pn 6 @/,+/ φ 6 #+# φ > Pn 6 @--# $

-. REKAP TAHANAN AKSIAL TIANG PANCANG

U0aian Tahanan A4sial Tian' Pan1an' " Be0dasa04an 4e4&a.an 3ahan  Be0dasa04an da.a 3o0 .anah (S4em%.on)  Be0dasa04an hasil &7i sondi0 (Ba'emann) - Be0dasa04an hasil &7i SPT (Mee0ho99) Daa d&4&n' a4sial .e04e1il5 Diam3il .ahanan a4sial .ian' %an1an'5

φ > Pn

No

$

φ > Pn 6 φ > Pn 6

"# /,, /#-# @--# @--# @--###

D. TAHANAN LATERAL TIANG PANCANG 1. BERDASARKAN DE,LEKSI TIANG MAKSIMUM (BROMS)

Tahanan la.e0al .ian' (H) 4a.e'o0i .ian' %an7an'5 da%a. dihi.&n' den'an %e0samaan 2

H 6 o > 4h > D ; C  > β > ( e > β  " )  #$ den'an5 β 6 C 4h > D ; ( - > E 1 > I1 )  D 6 Diame.e0 .ian' %an1an' (m)5 L 6 %an7an' .ian' %an1an' (m)5 4h 6 mod&l&s s&3'0ade ho0ison.al (4N;m )5 E1 6 mod&l&s elas.is .ian' (4N;m )5 E1 6 -/## >

D6 ## L6 -## 4h 6 +/# 9 1< > "# 6 $#####

I1 6 momen ine0sia %enam%an' (m -)5

I1 6 π ; +- > D- 6 ####*, e6 e 6 Ja0a4 3e3an la.e0al .e0hada% m&4a .anah (m)5 ## o 6 de9le4si .ian' ma4sim&m (m) o 6 ###+ β 6 C 4h > D ; ( - > E 1 > I1 ) #$ 6 #+,#$--$ β = 4oe9isien de9le4si .ian'5 β > L 6 /  2.- /a"a &0/a!u" &$ang 'anjang (OK) Tahanan la.e0al nominal .ian' %an1an'5

H 6 o > 4h > D ; C  > β > ( e > β  " )  6 φ 6 a4.o0 0ed&4si 4e4&a.an5 φ > Hn 6 $ Tahanan la.e0al .ian' %an1an'5

""# #+# ",++

2. BERDASARKAN MOMEN MAKSIMUM (BRINCH HANSEN)

9 3 6 #-# > 9 1< > "# 6 "#### K&a. len.&0 3e.on .ian' %an1an'5 ? 6 I1 ; (D;) 6 ###+$ Tahanan momen5 M 6 9 3 > ? 6 Momen ma4sim&m5 +$" Kohesi .anah [email protected] di se%an7an' .ian' L" 1& 1& > L" No Kedalaman :" (m) : (m) (m) (4N;m) " ### $## $# ## ""$##  $## "### $# ### "$###  "### "$## $# $## +### - "$## "/## # +## "+## Σ L" 6 Σ1&>L" 6 +$"## "/# & 6 Σ C 1& > L"  ; Σ L" 6 ,*-""/+$ Kohesi .anah [email protected] 9 6 Hn ; C * >  & > D  %e0s(") ' 6 L @ ( 9  "$ > D ) %e0s() M 6 Hn > ( e  "$ > D  #$ > 9 ) %e0s() M 6 * ; - > D >  & > ' %e0s(-) 9 6 ###*+/"/ > Hn Da0i %e0s(") 2 ' 6 $$ @###*+/ > Hn Da0i %e0s() 2 ' 6 #####*- > Hn @##+,++* > Hn  "+# * ; - > D > 1 & 6 $,-* 

Da0i %e0s() 2

M 6 Hn > ( M 6 ###-,M 6 ###-"/*

#+$#

###-, > H& #+$### > H& Da0i %e0s(-) 2 @"//$#  Pe0s4&ad0a. 2 # 6 ###- > H& -$# Da0i %e0s 4&ad0a.5 di%e0oleh .ahanan la.e0al nominal5

> Hn ) > Hn > Hn $/$+ > Hn @$/$+ Hn 6 ""**/* 96

""+# "-/$**

Mma 6 Hn > ( e  "$ > D  #$ > 9 ) 6 Mma M $  T0/a!u" &$ang 'anjan M 6 Hn > ( #+$# Da0i %e0s() 2 ###-,- > Hn )  6 +$" ###-,- > Hn #+$###  Pe0s4&ad0a. 2 # 6 ###-,- > Hn  #+$### > Hn @+$" Hn 6 /,Da0i %e0s 4&ad0a.5 di%e0oleh .ahanan la.e0al nominal5 φ 6 a4.o0 0ed&4si 4e4&a.an5 #+# φ > Hn 6 $ Tahanan la.e0al .ian' %an1an'5 "*+/ . REKAP TAHANAN LATERAL TIANG

U0aian Tahanan La.e0al Tian' Pan1an' " Be0dasa04an de9le4si .ian' ma4sim&m (B0oms)  Be0dasa04an momen ma4sim&m (B0in1h Hansen) Tahanan la.e0al .ian' .e04e1il5 $ Diam3il .ahanan la.e0al .ian' %an1an'5

φ > Hn

No

φ > Hn 6 φ > Hn 6

",++ "*+/ ",++ "###

PERHITUNGAN KEKUATAN ,ONDASI

KODE ONDASI 2

,*

DATA BAHAN PILECAP

K&a. .e4an 3e.on5 K&a. leleh 3a7a .&lan'an deform ( ∅  " mm )5 K&a. leleh 3a7a .&lan'an %olos ( ∅  " mm )5 Be0a. 3e.on 3e0.&lan'5

9 1< 6 9  6 9  6 =1 6

# *# -# -

3 6 3 6

#-# #-# #-# #-# #*# ",## -#

DATA DIMENSI ,ONDASI

Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5 Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 Te3al %ile1a%5 Te3al .anah di a.as %ile1a%5 Be0a. ol&me .anah di a.as %ile1a%5 Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #)

a6 h6 :6 =s 6 αs 6

DATA BEBAN ,ONDASI

P&4 6 M& 6 M& 6 H& 6 H& 6 φ > Pn 6 φ > Hn 6

Gaa a4sial 4olom a4i3a. 3e3an .e09a4.o05 Momen a0ah  a4i3a. 3e3an .e09a4.o0 Momen a0ah  a4i3a. 3e3an .e09a4.o0 Gaa la.e0al a0ah  a4i3a. 3e3an .e09a4.o05 Gaa la.e0al a0ah  a4i3a. 3e3an .e09a4.o05 Tahanan a4sial .ian' %an1an'5 Tahanan la.e0al .ian' %an1an'5

+#### "### "#### /### $### @--### "###

DATA SUSUNAN TIANG PANCANG

S&s&nan .ian' %an1an' a0ah  2  n >  No J&mlah n (m) (m) "  #$# #$#   @#$# #$#

Σ  6 n6 Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5

"##

S&s&nan .ian' %an1an' a0ah  2  No J&mlah n (m) "  #$#   @#$# n6

-

Σ  6 L 6 L 6

n >  (m) #$# #$# "## ",# ",#

1. GA+A AKSIAL PADA TIANG PANCANG

?s 6 L > L > : > =s 6 Be0a. .anah di a.as %ile1a%5 ?1 6 L > L > h > =1 6 Be0a. %ile1a%5 P& 6 P&4  " > ? s  " > ? 1 6 To.al 'aa a4sial .e09a4.o05 ma 6 Len'an ma4sim&m .ian' %an1an' a0ah  .hd %&sa.5 ma 6 Len'an ma4sim&m .ian' %an1an' a0ah  .hd %&sa.5 min 6 Len'an minim&m .ian' %an1an' a0ah  .hd %&sa.5 min 6 Len'an minim&m .ian' %an1an' a0ah  .hd %&sa.5 Gaa a4sial ma4sim&m dan minim&m %ada .ian' %an1an'5

$-* ""# /##" #$# #$# @#$# @#$#

%&ma 6 P& ; n  M&> ma ; Σ  M&> ma ; Σ 6 %&min 6 P& ; n  M&> min ; Σ  M&> min ; Σ 6 %&ma φ > Pn 

,$#, +$#,

Sa0a. 2

,$#,



@--###

$

BAHA+A (NG

2. GA+A LATERAL PADA TIANG PANCANG

Gaa la.e0al a0ah  %ada .ian'5 Gaa la.e0al a0ah  %ada .ian'5 Gaa la.e0al 4om3inasi d&a a0ah5 h&ma Sa0a. 2 "$"

h& 6 H& ; n 6 h& 6 H& ; n 6 h&ma 6 ( h&  h& ) 6 φ > Hn 



"###

$

"/$# "$# "$" BAHA+A (NG

. TINAUAN GESER ARAH 

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 1 6 ( L @ 3 @ d ) ;  6 Ja0a4 3id 40i.is .e0hada% sisi l&a05 ?" 6 1 > L > h > =1 6 Be0a. 3e.on5 ? 6 1 > L > : > =s 6 Be0a. .anah5

#"## ### #$$# *$#"+#,

& 6  > %&ma @ ?" @ ? 6 $--+" Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",## d6 Te3al e9e4.i9 %ile1a%5 ## β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i  1 an' di%e0oleh da0i %e0ss33 2 1 6 C "   ; β1  > 9 1< > 3 > d ; + > "#@ 6 "#/-// 1 6 C αs > d ; 3    > 9 1< > 3 > d ; " > "#@ 6 "/--" 1 6 " ;  > 9 1< > 3 > d > "#@ 6 ,#-*,1 6 ,#-*,Diam3il5 4&a. 'ese0 %ile1a%5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese05 #/$ φ ∗ 1 6 +#/, K&a. 'ese0 %ile1a%5 Sa0a. an' ha0&s di%en&hi5

φ ∗ 1 +#/,

*. TINAUAN GESER ARAH +

 

& $--+"

AMAN (OK)

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 #"## d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 ### 1 6 ( L @ 3 @ d ) ;  6 Ja0a4 3id 40i.is .e0hada% sisi l&a05 #$$# ?" 6 1 > L > h > =1 6 Be0a. 3e.on5 *$#? 6 1 > L > : > =s 6 "+#, Be0a. .anah5 & 6  > %&ma @ ?" @ ? 6 $--+" Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",## d6 Te3al e9e4.i9 %ile1a%5 ## β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i  1 an' di%e0oleh da0i %e0ss33 2 1 6 C "   ; β1  > 9 1< > 3 > d ; + > "#@ 6 "#/-// 1 6 C αs > d ; 3    > 9 1< > 3 > d ; " > "#@ 6 "/--" 1 6 " ;  > 9 1< > 3 > d > "#@ 6 ,#-*,1 6 ,#-*,Diam3il5 4&a. 'ese0 %ile1a%5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese05 #/$ φ ∗ 1 6 +#/, K&a. 'ese0 %ile1a%5 Sa0a. an' ha0&s di%en&hi5

φ ∗ 1 +#/,

 

-. TINAUAN GESER DUA ARAH (PONS)

& $--+"

AMAN (OK)

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 #"## d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 ### B 6 3  d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #/## B 6 3  d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #/## P&4 6 +##### Gaa 'ese0 %ons a4i3a. 3e3an .e09a4.o0 %ada 4olom5 A% 6  > ( B  B ) > d 6 L&as 3idan' 'ese0 %ons5 #,-# 3% 6  > ( B  B ) 6 Le3a0 3idan' 'ese0 %ons5 ,## β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i 9 % an' di%e0oleh da0i %e0ss33 2 9 % 6 C "   ; β1  > 9 1< ; + 6 9 % 6 C αs > d ; 3 %    > 9 1< ; " 6 9 % 6 " ;  > 9 1< 6 9 % 6 Te'an'an 'ese0 %ons an' disa0a.4an5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 φ > n% 6 φ > A% > 9 % > "# 6 K&a. 'ese0 %ons5 φ > n%  P&4 Sa0a. 2 **"-*

. PEMBESIAN PILECAP .1. TULANGAN LENTUR ARAH 



+#####

+ - "-*" "-*" #/$ **"$ AMAN (OK)

Ja0a4 .e%i 4olom .e0hada% sisi l&a0 %ile1a%5 Ja0a4 .ian' .hd sisi 4olom5 Be0a. 3e.on5 Be0a. .anah5 Momen an' .e07adi %ada %ile1a%5

1 6 ( L @ 3 ) ;  6 e 6 1 @ a 6 ?" 6 1 > L > h > =1 6 ? 6 1 > L > : > =s 6

#/## ### "#*+ #-"

M& 6  > %&ma > e @ ?" > 1 ;  @ ?  > 1 ;  6 "$*++* 3 6 L 6 Le3a0 %ile1a% an' di.in7a&5 ",## h6 Te3al %ile1a%5 -## d< 6 Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 "## d 6 h @ d< 6 Te3al e9e4.i9 %la.5 ## 9 1< 6 K&a. .e4an 3e.on5 # 9  6 K&a. leleh 3a7a .&lan'an5 *# Es 6 ##E#$ Mod&l&s elas.is 3a7a5 β" 6 a4.o0 dis.0i3&si .e' 3e.on5 #,$ ρ3 6 β"> #,$ > 9 1; 9  > +## ; ( +##  9  ) 6 ##-$$ φ 6 a4.o0 0ed&4si 4e4&a.an len.&05 #,# Rma 6 #/$ > ρ3 > 9  > C"@>#/$> ρ3 > 9  ; ( #,$ > 9 1 )  6 $** Mn 6 M& ; φ 6 "**$,+ Rn 6 Mn > "#+ ; ( 3 > d  ) 6 "#" Rn Rma  (OK) Rasio .&lan'an an' di%e0l&4an5

ρ 6 #,$ > 9 1 ; 9  > C " @ " Q  > Rn ; ( #,$ > 9 1 )   6 ### ρmin 6 Rasio .&lan'an minim&m5 ###$ ρ6 Rasio .&lan'an an' di'&na4an5 ### As 6 ρ > 3 > d 6 "//+" L&as .&lan'an an' di%e0l&4an5 D "+ Diame.e0 .&lan'an an' di'&na4an5 s 6 π ; - > D  > 3 ; As 6 Ja0a4 .&lan'an an' di%e0l&4an5 #sma 6 Ja0a4 .&lan'an ma4sim&m5 ## s6 Ja0a4 .&lan'an an' di'&na4an5 ## D "+ ## 3 Di'&na4an .&lan'an5 As 6 π ; - > D  > 3 ; s 6 ",#*$+ L&as .&lan'an .e0%a4ai5 .2. TULANGAN LENTUR ARAH +

1 6 ( L @ 3 ) ;  6 e 6 1 @ a 6 ?" 6 1 > L > h > =1 6 ? 6 1 > L > : > =s 6

#/## ### "#*+ #-"

M& 6  > % &ma > e @ ?" > 1 ;  @ ?  > 1 ;  6

"$*++*


Le3a0 %ile1a% an' di.in7a&5 Te3al %ile1a%5 Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 Te3al e9e4.i9 %la.5 K&a. .e4an 3e.on5 K&a. leleh 3a7a .&lan'an5 Mod&l&s elas.is 3a7a5 a4.o0 dis.0i3&si .e' 3e.on5

3 6 L 6 ",## h6 -## d< 6 "## d 6 h @ d< 6 ## 9 1< 6 # 9  6 *# Es 6 ##E#$ β" 6 #,$

ρ3 6 β"> #,$ > 9 1; 9  > +## ; ( +##  9  ) 6 ##-$$ φ 6 a4.o0 0ed&4si 4e4&a.an len.&05 #,# Rma 6 #/$ > ρ3 > 9  > C"@>#/$> ρ3 > 9  ; ( #,$ > 9 1 )  6 $** Mn 6 M& ; φ 6 "**$,+ +  Rn 6 Mn > "# ; ( 3 > d ) 6 "#" Rn Rma  (OK) Rasio .&lan'an an' di%e0l&4an5

ρ 6 #,$ > 9 1 ; 9  > C " @ " Q  > Rn ; ( #,$ > 9 1 )   6 ### ρmin 6 Rasio .&lan'an minim&m5 ###$ ρ6 Rasio .&lan'an an' di'&na4an5 ### As 6 ρ > 3 > d 6 "//+" L&as .&lan'an an' di%e0l&4an5 D "+ Diame.e0 .&lan'an an' di'&na4an5  s 6 π ; - > D > 3 ; As 6 Ja0a4 .&lan'an an' di%e0l&4an5 #sma 6 Ja0a4 .&lan'an ma4sim&m5 ## s6 Ja0a4 .&lan'an an' di'&na4an5 ## D "+ ## Di'&na4an .&lan'an5 3 As 6 π ; - > D  > 3 ; s 6 ",#*$+ L&as .&lan'an .e0%a4ai5 . TULANGAN SUSUT

Rasio .&lan'an s&s&. minim&m5 L&as .&lan'an s&s&. a0ah 5 L&as .&lan'an s&s&. a0ah 5 Diame.e0 .&lan'an an' di'&na4an5

ρsmin 6 As 6 ρsmin> 3 > d 6 As 6 ρsmin> 3 > d 6

###"/$+ /$+ "

s 6 π ; - > ∅ > 3 ; As 6 Ja0a4 .&lan'an s&s&. a0ah 5 +* s5ma 6 Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ## s 6 Ja0a4 .&lan'an s&s&. a0ah  an' di'&na4an5 ## s 6 π ; - > ∅ > 3 ; As 6 Ja0a4 .&lan'an s&s&. a0ah 5 +* s5ma 6 Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ## s 6 Ja0a4 .&lan'an s&s&. a0ah  an' di'&na4an5 ## ∅ " ## Di'&na4an .&lan'an s&s&. a0ah 5 3 ∅ " ## Di'&na4an .&lan'an s&s&. a0ah 5 3


KODE ONDASI 2

,

DATA BAHAN PILECAP


9 1< 6 9  6 9  6 =1 6

# *# -# -

3 6 3 6 a6 h6 :6 =s 6 αs 6

#$ #$ #-# ## #*# ",## -#


Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5 Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 Te3al %ile1a%5 Te3al .anah di a.as %ile1a%5 Be0a. ol&me .anah di a.as %ile1a%5 Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #)

DATA BEBAN ,ONDASI

P&4 6 M& 6 M& 6 H& 6 H& 6 φ > Pn 6 φ > Hn 6


-#### +### -$## -### ### @--### "###


S&s&nan .ian' %an1an' a0ah  2  n >  No J&mlah n (m) (m) " " #$# #$  " ### ###  " @#$# #$ Σ  6 #$# n6  Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5

S&s&nan .ian' %an1an' a0ah  2  No J&mlah n (m) " " #+#   @##

n >  (m) #+ #",

Σ  6 L 6 L 6

#$",# "/#

?s 6 L > L > : > =s 6 ?1 6 L > L > h > =1 6

-*$/ #

n6




Be0a. .anah di a.as %ile1a%5 Be0a. %ile1a%5

P& 6 P&4  " > ? s  " > ? 1 6 To.al 'aa a4sial .e09a4.o05 ma 6 Len'an ma4sim&m .ian' %an1an' a0ah  .hd %&sa.5 ma 6 Len'an ma4sim&m .ian' %an1an' a0ah  .hd %&sa.5 min 6 Len'an minim&m .ian' %an1an' a0ah  .hd %&sa.5 min 6 Len'an minim&m .ian' %an1an' a0ah  .hd %&sa.5 Gaa a4sial ma4sim&m dan minim&m %ada .ian' %an1an'5

-,$* #$# #+# @#$# @##

%&ma 6 P& ; n  M&> ma ; Σ  M&> ma ; Σ 6 %&min 6 P& ; n  M&> min ; Σ  M&> min ; Σ 6 %&ma φ > Pn 

/"*/ /+*/

Sa0a. 2

/"*/



@--###

$

BAHA+A (NG


Gaa la.e0al a0ah  %ada .ian'5 Gaa la.e0al a0ah  %ada .ian'5 Gaa la.e0al 4om3inasi d&a a0ah5 h&ma Sa0a. 2 "++/

. TINAUAN GESER ARAH 

h& 6 H& ; n 6 h& 6 H& ; n 6 h&ma 6 ( h&  h& ) 6 φ > Hn 



"###

$

" "### "++/ BAHA+A (NG

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 #"## d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 ### 1 6 ( L @ 3 @ d ) ;  6 Ja0a4 3id 40i.is .e0hada% sisi l&a05 #+$ ?" 6 1 > L > h > =1 6 Be0a. 3e.on5 /+$# ? 6 1 > L > : > =s 6 "/" Be0a. .anah5 & 6 %&ma @ ?" @ ? 6 -/"" Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 "/## d6 Te3al e9e4.i9 %ile1a%5 ## β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i  1 an' di%e0oleh da0i %e0ss33 2 1 6 C "   ; β1  > 9 1< > 3 > d ; + > "#@ 6 1 6 C αs > d ; 3    > 9 1< > 3 > d ; " > "#@ 6 1 6 " ;  > 9 1< > 3 > d > "#@ 6 1 6 Diam3il5 4&a. 'ese0 %ile1a%5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese05 φ ∗ 1 6 K&a. 'ese0 %ile1a%5

/+#+ ,-*/#+ $#+,- $#+,- #/$ ,#"

Sa0a. an' ha0&s di%en&hi5

φ ∗ 1 ,#"

*. TINAUAN GESER ARAH +

 

& -/""

AMAN (OK)

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 #"## d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 ### 1 6 "  a @ ( 3  d ) ;  6 Ja0a4 3id 40i.is .e0hada% sisi l&a05 #/$ ?" 6 1 > L > h > =1 6 Be0a. 3e.on5 **+ ? 6 1 > L > : > =s 6 ""-" Be0a. .anah5 & 6 %&ma @ ?" @ ? 6 -"-, Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",## d6 Te3al e9e4.i9 %ile1a%5 ## β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i  1 an' di%e0oleh da0i %e0ss33 2 1 6 C "   ; β1  > 9 1< > 3 > d ; + > "#@ 6 1 6 C αs > d ; 3    > 9 1< > 3 > d ; " > "#@ 6 1 6 " ;  > 9 1< > 3 > d > "#@ 6 1 6 Diam3il5 4&a. 'ese0 %ile1a%5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese05 φ ∗ 1 6 K&a. 'ese0 %ile1a%5

,#-*,,+-+" $++$+ $++$+ #/$ -#-*

Sa0a. an' ha0&s di%en&hi5

φ ∗ 1 -#-*

 

-. TINAUAN GESER DUA ARAH (PONS)

& -"-,

AMAN (OK)

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 #"## d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 ### B 6 3  d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #$$# B 6 3  d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #$$# P&4 6 -##### Gaa 'ese0 %ons a4i3a. 3e3an .e09a4.o0 %ada 4olom5 A% 6  > ( B  B ) > d 6 L&as 3idan' 'ese0 %ons5 #--# 3% 6  > ( B  B ) 6 Le3a0 3idan' 'ese0 %ons5 ## β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i 9 % an' di%e0oleh da0i %e0ss33 2 9 % 6 C "   ; β1  > 9 1< ; + 6 9 % 6 C αs > d ; 3 %    > 9 1< ; " 6 9 % 6 " ;  > 9 1< 6 9 % 6 Te'an'an 'ese0 %ons an' disa0a.4an5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 φ > n% 6 φ > A% > 9 % > "# 6 K&a. 'ese0 %ons5 φ > n%  P&4 Sa0a. 2 -*"*$



-#####

+ "#" "-*" "-*" #/$ -*"* AMAN (OK)

. PEMBESIAN PILECAP .1. TULANGAN LENTUR ARAH 

1 6 ( L @ 3 ) ;  6 e 6 1 @ a 6 ?" 6 1 > L > h > =1 6 ? 6 1 > L > : > =s 6

#/$ #$ ,,/"**+/

M& 6 %&ma > e @ ?" > 1 ;  @ ?  > 1 ;  6 3 6 L 6 Le3a0 %ile1a% an' di.in7a&5 h6 Te3al %ile1a%5 d< 6 Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d 6 h @ d< 6 Te3al e9e4.i9 %la.5 9 1< 6 K&a. .e4an 3e.on5 9  6 K&a. leleh 3a7a .&lan'an5

//*/ "/## ## "## ## # *#


Es 6 ##E#$

Mod&l&s elas.is 3a7a5 a4.o0 dis.0i3&si .e' 3e.on5

β" 6

#,$ ρ3 6 β"> #,$ > 9 1; 9  > +## ; ( +##  9  ) 6 ##-$$ φ 6 a4.o0 0ed&4si 4e4&a.an len.&05 #,# Rma 6 #/$ > ρ3 > 9  > C"@>#/$> ρ3 > 9  ; ( #,$ > 9 1 )  6 $** Mn 6 M& ; φ 6 */-" +  Rn 6 Mn > "# ; ( 3 > d ) 6 "-+/

Rn



Rma

(OK)

Rasio .&lan'an an' di%e0l&4an5

ρ 6 #,$ > 9 1 ; 9  > C " @ " Q  > Rn ; ( #,$ > 9 1 )   6 ###, ρmin 6 Rasio .&lan'an minim&m5 ###$ ρ6 Rasio .&lan'an an' di'&na4an5 ###, As 6 ρ > 3 > d 6 "#+$* L&as .&lan'an an' di%e0l&4an5 D "+ Diame.e0 .&lan'an an' di'&na4an5  s 6 π ; - > D > 3 ; As 6 Ja0a4 .&lan'an an' di%e0l&4an5 + sma 6 Ja0a4 .&lan'an ma4sim&m5 ## s6 Ja0a4 .&lan'an an' di'&na4an5 ## D "+ ## 3 Di'&na4an .&lan'an5 As 6 π ; - > D  > 3 ; s 6 "/#*# L&as .&lan'an .e0%a4ai5 .2. TULANGAN LENTUR ARAH +


1 6 "  a @ 3 ;  6 e 6 1 @ a 6 ?" 6 1 > L > h > =1 6 ? 6 1 > L > : > =s 6

#,$ #-$ "#+* -#$/

M& 6 %&ma > e @ ?" > 1 ;  @ ?  > 1 ;  6 "#"$$ 3 6 L 6 Le3a0 %ile1a% an' di.in7a&5 ",## h6 Te3al %ile1a%5 ## d< 6 Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 "## d 6 h @ d< 6 Te3al e9e4.i9 %la.5 ## 9 1< 6 K&a. .e4an 3e.on5 # 9  6 K&a. leleh 3a7a .&lan'an5 *# Es 6 ##E#$ Mod&l&s elas.is 3a7a5 β" 6 a4.o0 dis.0i3&si .e' 3e.on5 #,$ ρ3 6 β"> #,$ > 9 1; 9  > +## ; ( +##  9  ) 6 ##-$$ φ 6 a4.o0 0ed&4si 4e4&a.an len.&05 #,# Rma 6 #/$ > ρ3 > 9  > C"@>#/$> ρ3 > 9  ; ( #,$ > 9 1 )  6 $** Mn 6 M& ; φ 6 "+$+* Rn 6 Mn > "#+ ; ( 3 > d  ) 6 "/$/*" Rn Rma  (OK) Rasio .&lan'an an' di%e0l&4an5

ρ 6 #,$ > 9 1 ; 9  > C " @ " Q  > Rn ; ( #,$ > 9 1 )   6 ###-, ρmin 6 Rasio .&lan'an minim&m5 ###$ ρ6 Rasio .&lan'an an' di'&na4an5 ###-, As 6 ρ > 3 > d 6 "/"+$/ L&as .&lan'an an' di%e0l&4an5 D "+ Diame.e0 .&lan'an an' di'&na4an5 s 6 π ; - > D  > 3 ; As 6 Ja0a4 .&lan'an an' di%e0l&4an5 "" sma 6 Ja0a4 .&lan'an ma4sim&m5 ## s6 Ja0a4 .&lan'an an' di'&na4an5 ##

D "+ ## 3  As 6 π ; - > D > 3 ; s 6 ",#*$+

Di'&na4an .&lan'an5 L&as .&lan'an .e0%a4ai5 . TULANGAN SUSUT

ρsmin 6 Rasio .&lan'an s&s&. minim&m5 ###" As 6 ρsmin> 3 > d 6 L&as .&lan'an s&s&. a0ah 5 -/+ As 6 ρsmin> 3 > d 6 L&as .&lan'an s&s&. a0ah 5 $#Diame.e0 .&lan'an an' di'&na4an5 " s 6 π ; - > ∅ > 3 ; As 6 Ja0a4 .&lan'an s&s&. a0ah 5 -#s5ma 6 Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ## s 6 Ja0a4 .&lan'an s&s&. a0ah  an' di'&na4an5 ##  s 6 π ; - > ∅ > 3 ; As 6 Ja0a4 .&lan'an s&s&. a0ah 5 -#s5ma 6 Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ## s 6 Ja0a4 .&lan'an s&s&. a0ah  an' di'&na4an5 ## ∅ " ## Di'&na4an .&lan'an s&s&. a0ah 5 3 ∅ " ## 3 Di'&na4an .&lan'an s&s&. a0ah 5


KODE ONDASI 2

,2

DATA BAHAN PILECAP


9 1< 6 9  6 9  6 =1 6

# *# -# -

3 6 3 6

## ##


Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5

Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 Te3al %ile1a%5 Te3al .anah di a.as %ile1a%5 Be0a. ol&me .anah di a.as %ile1a%5 Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #)

a6 h6 :6 =s 6 αs 6

#-# #$ #*# ",## -#

DATA BEBAN ,ONDASI


P&4 6 M& 6 M& 6 H& 6 H& 6 φ > Pn 6 φ > Hn 6

#### ### ### ### "### @--### "###


S&s&nan .ian' %an1an' a0ah  2  n >  No J&mlah n (m) (m) " " #$# #$  " @#$# #$

S&s&nan .ian' %an1an' a0ah  2  No J&mlah n (m) " " ###

n >  (m) ###

Σ  6 n6  Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5

#$#

n6

"

Σ  6 L 6 L 6

### ",# #,#


?s 6 L > L > : > =s 6 Be0a. .anah di a.as %ile1a%5 ?1 6 L > L > h > =1 6 Be0a. %ile1a%5 P& 6 P&4  " > ? s  " > ? 1 6 To.al 'aa a4sial .e09a4.o05 ma 6 Len'an ma4sim&m .ian' %an1an' a0ah  .hd %&sa.5 min 6 Len'an minim&m .ian' %an1an' a0ah  .hd %&sa.5 Gaa a4sial ma4sim&m dan minim&m %ada .ian' %an1an'5

 ""# -$" #$# @#$#

%&ma 6 P& ; n  M&> ma ; Σ 6 %&min 6 P& ; n  M&> min ; Σ 6 %&ma φ > Pn 

#"$ "-"$

Sa0a. 2

#"$



@--###

$

BAHA+A (NG


Gaa la.e0al a0ah  %ada .ian'5 Gaa la.e0al a0ah  %ada .ian'5 Gaa la.e0al 4om3inasi d&a a0ah5 h&ma Sa0a. 2 """,

. TINAUAN TERHADAP GESER

h& 6 H& ; n 6 h& 6 H& ; n 6 h&ma 6 ( h&  h& ) 6 φ > Hn 



"###

$

"### $## """, BAHA+A (NG

d< 6 Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 #"## d 6 h @ d< 6 Te3al e9e4.i9 %ile1a%5 #$# 1 6 ( L @ 3 @ d ) ;  6 Ja0a4 3id 40i.is .e0hada% sisi l&a05 #+$ ?" 6 1 > L > h > =1 6 Be0a. 3e.on5 -## ? 6 1 > L > : > =s 6 Be0a. .anah5 ,"## & 6 %&ma @ ?" @ ? 6 ",,*$-Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ,## d6 Te3al e9e4.i9 %ile1a%5 $# β1 6 3 ; 3 6 "#### Rasio sisi %an7an' .hd sisi %ende4 4olom5 K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i  1 an' di%e0oleh da0i %e0ss33 2 1 6 C "   ; β1  > 9 1< > 3 > d ; + > "#@ 6 --/"1 6 C αs > d ; 3    > 9 1< > 3 > d ; " > "#@ 6 "#,#/++ 1 6 " ;  > 9 1< > 3 > d > "#@ 6 *,"- 1 6 *,"- Diam3il5 4&a. 'ese0 %ile1a%5 φ 6 a4.o0 0ed&4si 4e4&a.an 'ese05 #/$ φ ∗ 1 6 +#/ K&a. 'ese0 %ile1a%5 Sa0a. an' ha0&s di%en&hi5

φ ∗ 1 +#/

 

& ",,*$-

AMAN (OK)

. PEMBESIAN PILECAP


1 6 ( L @ 3 ) ;  6 e 6 1 @ a 6 ?" 6 1 > L > h > =1 6 ? 6 1 > L > : > =s 6

#/$# #$# $#-# */#

M& 6  > %&ma > e @ ?" > 1 ;  @ ?  > 1 ;  6 "$- 3 6 L 6 Le3a0 %ile1a% an' di.in7a&5 ,## h6 Te3al %ile1a%5 $# d< 6 Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 "## d 6 h @ d< 6 Te3al e9e4.i9 %la.5 $# 9 1< 6 K&a. .e4an 3e.on5 # 9  6 K&a. leleh 3a7a .&lan'an5 *# Es 6 ##E#$ Mod&l&s elas.is 3a7a5

β" 6

a4.o0 dis.0i3&si .e' 3e.on5

#,$ ρ3 6 β"> #,$ > 9 1; 9  > +## ; ( +##  9  ) 6 ##-$$ φ 6 a4.o0 0ed&4si 4e4&a.an len.&05 #,# Rma 6 #/$ > ρ3 > 9  > C"@>#/$> ρ3 > 9  ; ( #,$ > 9 1 )  6 $** Mn 6 M& ; φ 6 "+*"/* Rn 6 Mn > "#+ ; ( 3 > d  ) 6 ,$,

Rn



Rma

(OK)

Rasio .&lan'an an' di%e0l&4an5

ρ 6 #,$ > 9 1 ; 9  > C " @ " Q  > Rn ; ( #,$ > 9 1 )   6 ###*, ρmin 6 Rasio .&lan'an minim&m5 ###$ ρ6 Rasio .&lan'an an' di'&na4an5 ###*, As 6 ρ > 3 > d 6 "*$-"* L&as .&lan'an an' di%e0l&4an5 D "+ Diame.e0 .&lan'an an' di'&na4an5  s 6 π ; - > D > 3 ; As 6 Ja0a4 .&lan'an an' di%e0l&4an5 , sma 6 Ja0a4 .&lan'an ma4sim&m5 ## s6 Ja0a4 .&lan'an an' di'&na4an5 , D "+ ,# 3 Di'&na4an .&lan'an5 As 6 π ; - > D  > 3 ; s 6 #"#+ L&as .&lan'an .e0%a4ai5 As3 6 $# > As 6 "##$" T&lan'an 3a'i diam3il $# .&lan'an %o4o45 s 6 π ; - > D  > 3 ; As3 6 Ja0a4 .&lan'an 3a'i an' di%e0l&4an5 "+# sma 6 Ja0a4 .&lan'an ma4sim&m5 ## s6 Ja0a4 .&lan'an an' di'&na4an5 "+# D "+ "+# Di'&na4an .&lan'an5 3 As 6 π ; - > D  > 3 ; s 6 "##$" L&as .&lan'an .e0%a4ai5 . TULANGAN SUSUT

Rasio .&lan'an s&s&. minim&m5 L&as .&lan'an s&s&.5 Diame.e0 .&lan'an an' di'&na4an5 Ja0a4 .&lan'an s&s&.5 Ja0a4 .&lan'an s&s&. ma4sim&m5

ρsmin 6 As 6 ρsmin> 3 > d 6

###",# "

s 6 π ; - > ∅ > 3 ; As 6 sma 6

 ##

Ja0a4 .&lan'an s&s&. a0ah  an' di'&na4an5 Di'&na4an .&lan'an s&s&. a0ah 5

s6

∅ "

3

##

##

SPT Nilai SPT

N $ " / $ -

m m MPa 4N;m

m 4N 4Pa

4N

4N

m m 4N;m 4N

a0i

m

4N

4N 4N

di m m 0 4N;m 4N

89  L"

4N 4N

(4N) (4N) ah

m m

m m 4N 4N 4N

4N

4N 4N

m m 4N;m 4N;m

mm m m

4N

4N

4N;m m 4Nm

4N;m

4N m 4Nm

(OK)

> H& 4N

4N

4N 4N

MPa MPa MPa 4N;m m m m m m 4N;m

4N 4Nm 4Nm 4N 4N 4N 4N

m m

4N 4N 4N m m m m 4N 4N

4N 4N 4N

m m m 4N 4N

4N mm mm

4N 4N 4N 4N 4N

m m m 4N 4N 4N mm mm

4N 4N 4N 4N 4N

m m m m 4N m m

MPa MPa MPa MPa 4N


4Nm

mm mm mm mm mm mm

m m 4N 4N 4Nm

mm mm mm mm MPa MPa MPa

4Nm


mm mm mm

mm mm mm mm mm mm

MPa MPa MPa 4N;m m m m m m 4N;m


m m

4N 4N

4N m m m m 4N 4N

4N 4N 4N


4N 4N 4N 4N 4N


4N 4N 4N 4N 4N

m m m m 4N m m

MPa MPa MPa MPa 4N

m m 4N 4N 4Nm mm mm mm mm MPa MPa

MPa

4Nm



4Nm

mm mm mm mm mm

mm

mm mm mm mm mm mm mm mm mm

MPa MPa MPa 4N;m m m

m m m 4N;m


m m

4N 4N 4N m m 4N 4N

4N 4N 4N


4N 4N 4N 4N 4N


4Nm

mm mm mm mm mm mm mm mm mm mm mm

mm mm mm mm

82685157-tiang-pancang.xls

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