PERHITUNGA PERHI TUNGAN N KEKUATAN KEKUATAN TIANG TIAN G PANCANG ANCANG [C]2010 : M. Noer Ilham
A. DATA TANAH DATA HASIL PENGUJIAN
No
Kedalaman ;" (m (m) ; (m) " $
### $## "### "$## ###
$ # # "### "$## ### $##
LABORATORIUM (DATA BOR TANAH) 1& g j Jenis ( ! ) Tanah (4N
SONDIR
9:
SPT Nilai SPT
N
(4N
$ " . $ -
B. DATA BAHAN Jen enis is /ian /ian'' %a %an1 n1aan' 2 Be/o Be/onn 3e0/& e0/&la lan' n' /am% /am%an an'' lin' lin'4a 4a0a 0ann 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 : 1= 6 >1 6
#-# +## $ -
m m MPa 4N
C. TAHANAN AKSIAL TIANG PANCANG 1. BERDASARKAN KEKUATAN BAHAN
A 6 p < - ? D 6 @% 6 A ? L ? >1 6 : 1= 6
#"$. ","# $###
m 4N 4Pa
Pn 6 ## ? : 1= ? A " ? @ % 6 f 6 f ? Pn 6
*" # + # $$-+
4N
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 8a4/o0 0ed&4si 4e4&a/an5 Tahanan a4sial /ian' %an1an'5
4N
2. BERDASARKAN BERD ASARKAN DAT DATA BOR TANAH (SKEMPTON) a. Tahanan ujung
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 m 4N
b. Tahanan g!"
Ps 6 S C ad ? 1& ? As Tahanan 'ese4 nominal men&0&/ S4em%/on 2 ad 6 :a4/o0 adhesi 1& 6 Kohesi /anah di se%an7an' /ian' (4N
Tahanan nominal /ian' %an1an'5
Pn 6 P3 Ps 6
".,,
4N
2. BERDASARKAN BERD ASARKAN DAT DATA BOR TANAH (SKEMPTON) a. Tahanan ujung
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 m 4N
b. Tahanan g!"
Ps 6 S C ad ? 1& ? As Tahanan 'ese4 nominal men&0&/ S4em%/on 2 ad 6 :a4/o0 adhesi 1& 6 Kohesi /anah di se%an7an' /ian' (4N
Tahanan nominal /ian' %an1an'5
Pn 6 P3 Ps 6
".,,
4N
f 6 8a4/o0 0ed&4si 4e4&a/an5 f ? Pn 6 Tahanan a4sial /ian' %an1an'5 . BERDASARKAN HASIL UI SONDIR (BAGEMANN)
# + # "#.
4N
a. Tahanan ujung
P3 6 w ? A3 ? 91 Tahanan &7&n' nominal dihi/&n' den'an 0&m&s 2 w 6 :a4/o0 0ed&4si nilai /ahanan &7&n' nominal /ian'5 A3 6 l&as &7&n' 3a>ah /ian' (m)5 91 6 /ahanan %ene/0asi 4e0&1&/ s/a/is an' me0&%a4an nilai 0a/a0a/a dihi/&n' da0i ,D di a/as dasa0 /ian' sam%ai -D di 3a>ah dasa0 /ian' (4Nah dasa0 91 6 91 6 → - /ian' %an1an'5 4'<1m -## 4N
Ps 6 S C As ? 9: Tahanan 'ese4 nominal men&0&/ S4em%/on dihi/&n' d' 0&m&s 2 A: 6 L&as %e0m&4aan se'men dindin' /ian' (m) As 6 p ? D ? L" 9: 6 /ahanan 'ese4 4e0&1&/ s/a/is 0a/a0a/a (4N
Pn 6 P3 Ps 6 f 6 f ? Pn 6 →
."- # + # "+,+
*. BERDASARKAN HASIL UI SPT (ME+ERHO,,) ( ME+ERHO,,)
Ka%asi/as nominal /ian' %an1an' se1a0a em%i0is da0i nilai N hasil %en'&7ian SPT
4N 4N
men&0&/ Mee0ho:: dina/a4an den'an 0&m&s 2
Pn 6 -# ? N3 ? A3 Pn 6 ,# ? ? A3
? As
(4N) (4N)
dan ha0&s £ N3 6 nilai SPT di se4i/a0 dasa0 /ian'5 dihi/&n' da0i ,D di a/as dasa0 /ian' sd -D di 3a>ah dasa0 /ian'5 F 6 nilai SPT 0a/a0a/a 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) ; (m) N (m) " ### $## $ $ # $# $## "### " $ # +## "### "$## . $ # "$# "$## +## # *# .## + # $ # # 6 S L"?N < S L" 6 , Nilai SPT 0a/a0a/a di se%an7an' /ian'5 Nilai SPT di se4i/a0 dasa0 /ian' (,D di a/as dasa0 /ian' sd -D di 3a>ah dasa0 /ian')5 N3 6 ### D6 Diame/e0 /ian' %an1an'5 # - # m L6 Pan7an' /ian' %an1an'5 + # # m A3 6 p < - ? D 6 #"$. m L&as dasa0 /ian' %an1an'5 As 6 p ? D ? L 6 .$*, m L&as selim&/ /ian' %an1an'5 Pn 6 -# ? N3 ? A3 ? As 6 ,. ,.* *++-$* $*-- 4N Pn ,# ? ? A3 6 *.*- 4N Pn 6 *.*- 4N Ka%asi/as nominal /ian' %an1an'5 f 6 8a4/o0 0ed&4si 4e4&a/an5 # + # f ? Pn 6 ,.+ 4N → Tahanan a4sial /ian' %an1an'5 -. REKAP TAHANAN AKSIAL TIANG PANCANG
No
U0ai U0aian an Tah ahan anan an A4si A4sial al Tian' ian' Pan1 Pan1an an'' " Be0dasa04an 4e4&a/an 3ahan Be Be0dasa04an da/a 3o0 /anah (S4em%/on) Be Be0dasa04an hasil &7i sondi0 (Ba'emann) - Be Be0dasa04an hasil &7i SPT (Mee0ho::)
f ? Pn $$-+ "#. "+,+ ,.+
Daa d&4&n' a4sial /e04e1il5 Diam3il /ahanan a4sial /ian' %an1an'5
→
f ? Pn 6 f ? Pn 6
,.+ ###
4N 4N
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 ? b ? ( e ? b " ) #$ den'an5 b 6 C 4h ? D < ( - ? E 1 ? I1 ) D6 D 6 Diame/e0 /ian' %an1an' (m)5 #-# L6 L 6 %an7an' /ian' %an1an' (m)5 +## 4h 6 mod&l&s s&3'0ade ho0ison/al (4N
m m 4N
4N
4N
2. BERDASARKAN MOMEN MAKSIMUM (BRINCH HANSEN)
: 3 6 #-# ? : 1= ? "# 6 K&a/ len/&0 3e/on /ian' %an1an'5 @ 6 I1 < (D<) 6 Tahanan momen5 M 6 : 3 ? @ 6 Momen ma4sim&m5 Kohesi /anah 0a/a0a/a di se%an7an' /ian' L" 1& 1& ? L" No Kedalaman ;" (m) ; (m) (m) (4N
"#### ###+, +,
4N
-
"$##
".##
S L" 6 Kohesi /anah 0a/a0a/a5
# ".#
+##
"+## +$"##
S1&?L" 6 & 6 S C 1& ? L" < S L" 6 ,*-"".+$ 4N
: 6 Hn < C * ? & ? D %e0s(") ' 6 L ( : "$ ? D ) %e0s() M 6 Hn ? ( e "$ ? D #$ ? : ) %e0s() M 6 * < - ? D ? & ? ' %e0s(-) : 6 ###.$, ? Hn Da0i %e0s(") 2 ' 6 $-# ###.$- ? Hn Da0i %e0s() 2 ' 6 #####$ ? Hn ##.,-" ? Hn *"+ * < - ? D ? 1& 6 --+$ M 6 Hn ? ( #,## Da0i %e0s() 2 ###+ ? Hn ) M 6 ###+ ? H& #,#### ? Hn M 6 ###","- ? H& Da0i %e0s(-) 2 .### ? Hn "##-**" Pe0s4&ad0a/ 2 # 6 ###"," ? H& $### ? Hn "##-**" Hn 6 $.. 4N Da0i %e0s 4&ad0a/5 di%e0oleh /ahanan la/e0al nominal5 :6
",-" -+$*
m 4Nm
Mma 6 Hn ? ( e "$ ? D #$ ? : ) 6 Mma M → T0/a!u" &$ang 'anjang (OK) M 6 Hn ? ( #,## Da0i %e0s() 2 ###+ ? Hn ) 6 +, ###+ ? Hn #,#### ? H& Pe0s4&ad0a/ 2 # 6 ###+ ? Hn #,#### ? Hn +, Hn 6 +"-" 4N Da0i %e0s 4&ad0a/5 di%e0oleh /ahanan la/e0al nominal5 f 6 8a4/o0 0ed&4si 4e4&a/an5 #+# f ? Hn 6 → 4N Tahanan la/e0al /ian' %an1an'5 +,+ . REKAP TAHANAN LATERAL TIANG
U0aian Tahanan La/e0al Tian' Pan1an' " Be0dasa04an de:le4si /ian' ma4sim&m (B0oms) Be0dasa04an momen ma4sim&m (B0in1h Hansen) Tahanan la/e0al /ian' /e04e1il5 → Diam3il /ahanan la/e0al /ian' %an1an'5
f ? Hn
No
f ? Hn 6 f ? Hn 6
"+" +,+ "+" ###
4N 4N
PERHITUNGAN KEKUATAN ,ONDASI
KODE 8ONDASI 2
,*
DATA BAHAN PILECAP
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an deform ( Æ " mm )5 K&a/ leleh 3a7a /&lan'an %olos ( Æ ≤ " mm )5 Be0a/ 3e/on 3e0/&lan'5
: 1= 6 : 6 : 6 >1 6
# *# -# -
MPa MPa MPa 4N
3 6 3 6 a6 h6 ;6 >s 6 as 6
#-# #-# #-# #-# #*# ",## -#
m m m m m 4N
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 #)
DATA BEBAN ,ONDASI
P&4 6 M& 6 M& 6 H& 6 H& 6 f ? Pn 6 f ? Hn 6
Gaa a4sial 4olom a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Tahanan a4sial /ian' %an1an'5 Tahanan la/e0al /ian' %an1an'5
+#### "### "#### .### $### ### ###
4N 4Nm 4Nm 4N 4N 4N 4N
DATA SUSUNAN TIANG PANCANG
S&s&nan /ian' %an1an' a0ah 2 n ? No J&mlah n (m) (m) " #$# #$# #$# #$#
S 6 n6 Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5
S&s&nan /ian' %an1an' a0ah 2 No J&mlah n (m) " #$# #$#
"##
n6
-
S 6 L 6 L 6
n ? (m) #$# #$# "## ",# ",#
m m
@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 'aa a4sial /e0:a4/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 Gaa a4sial ma4sim&m dan minim&m %ada /ian' %an1an'5
$-* ""# .##" #$# #$# #$# #$#
4N 4N 4N m m m m
%&ma 6 P& < n M&? ma < S M&? ma < S 6 %&min 6 P& < n M&? min < S M&? min < S 6 f ? Pn %&ma ≤
,$#, +$#,
4N 4N
1. GA+A AKSIAL PADA TIANG PANCANG
Sa0a/ 2
,$#,
###
2. GA+A LATERAL PADA TIANG PANCANG
→
BAHA+A (NG)
Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al 4om3inasi d&a a0ah5 h&ma Sa0a/ 2 "$"
h& 6 H& < n 6 h& 6 H& < n 6 h&ma 6 ( h& h& ) 6 f ? Hn ≤
###
→
".$# "$# "$"
4N 4N 4N
AMAN (OK)
. TINAUAN GESER ARAH
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %ile1a%5 ### 1 6 ( L 3 d ) < 6 Ja0a4 3id 40i/is /e0hada% sisi l&a05 #$$# @" 6 1 ? L ? h ? >1 6 Be0a/ 3e/on5 *$#@ 6 1 ? L ? ; ? >s 6 "+#, Be0a/ /anah5 & 6 ? %&ma @" @ 6 $--+" Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ",## d6 Te3al e:e4/i: %ile1a%5 ## b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 K&a/ 'ese0 %ile1a% a0ah 5 diam3il nilai /e04e1il da0i 1 an' di%e0oleh da0i %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 "#.-.. 4N 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 ".--" 4N
1 6 " < ? Diam3il5 4&a/ 'ese0 %ile1a%5 8a4/o0 0ed&4si 4e4&a/an 'ese05 K&a/ 'ese0 %ile1a%5 Sa0a/ an' ha0&s di%en&hi5
f * 1 +#.,
≥
: 1= ? 3 ? d ? "# 6 1 6 f 6 f * 1 6
,#-*,,#-*,#.$ +#.,
4N 4N 4N
& $--+"
AMAN (OK)
*. TINAUAN GESER ARAH +
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %ile1a%5 ### 1 6 ( L 3 d ) < 6 Ja0a4 3id 40i/is /e0hada% sisi l&a05 #$$# @" 6 1 ? L ? h ? >1 6 Be0a/ 3e/on5 *$#@ 6 1 ? L ? ; ? >s 6 "+#, Be0a/ /anah5 & 6 ? %&ma @" @ 6 $--+" Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ",## d6 Te3al e:e4/i: %ile1a%5 ## b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 K&a/ 'ese0 %ile1a% a0ah 5 diam3il nilai /e04e1il da0i 1 an' di%e0oleh da0i %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 "#.-.. 4N 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 ".--" 4N 1 6 " < ? : 1= ? 3 ? d ? "# 6 ,#-*,- 4N 1 6 ,#-*,- 4N Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 #.$ f * 1 6 +#., 4N K&a/ 'ese0 %ile1a%5 Sa0a/ an' ha0&s di%en&hi5
f * 1 +#.,
≥
& $--+"
AMAN (OK)
-. TINAUAN GESER DUA ARAH (PONS)
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %ile1a%5 ### B 6 3 d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #.## B 6 3 d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #.## P&4 6 +##### Gaa 'ese0 %ons a4i3a/ 3e3an /e0:a4/o0 %ada 4olom5 A% 6 ? ( B B ) ? d 6 L&as 3idan' 'ese0 %ons5 #,-# 3% 6 ? ( B B ) 6 Le3a0 3idan' 'ese0 %ons5 ,## b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai /e04e1il da0i : % an' di%e0oleh da0i %e0ss33 2 : % 6 C " < b1 ?
: 1= < + 6
+
m m m m 4N m m
MPa
: % 6 C as ? d < 3% ? : 1= < " 6 : % 6 " < ? : 1= 6 : % 6 Te'an'an 'ese0 %ons an' disa0a/4an5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese0 %ons5 f ? n% 6 f ? A% ? : % ? "# 6 K&a/ 'ese0 %ons5 f ? n% P&4 ≥ Sa0a/ 2 **"-*
+#####
- "-*" "-*" #.$ **"$
MPa MPa MPa 4N
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 h6 Te3al %ile1a%5
"$*++* ",## -##
4Nm mm mm
Ja0a4 /e%i 4olom /e0hada% sisi l&a0 %ile1a%5 Ja0a4 /ian' /hd sisi 4olom5 Be0a/ 3e/on5 Be0a/ /anah5 Momen an' /e07adi %ada %ile1a%5
Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 Te3al e:e4/i: %la/5 K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an5 Mod&l&s elas/is 3a7a5 8a4/o0 dis/0i3&si /e' 3e/on5
d= 6 "## d 6 h d= 6 ## : 1= 6 # : 6 *# Es 6 ##E#$ b" 6 #,$
mm mm MPa MPa MPa
r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 "**$,+ 4Nm Rn 6 Mn ? "#+ < ( 3 ? d ) 6 "#" Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ### rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ### As 6 r ? 3 ? d 6 "..+" L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? D ? 3 < As 6 Ja0a4 /&lan'an an' di%e0l&4an5 #sma 6 Ja0a4 /&lan'an ma4sim&m5 ## s6 Ja0a4 /&lan'an an' di'&na4an5 ## D "+ ## Di'&na4an /&lan'an5 3 As 6 p < - ? D ? 3 < s 6 ",#*$+ L&as /&lan'an /e0%a4ai5 .2. TULANGAN LENTUR ARAH +
mm mm mm mm mm mm
Ja0a4 /e%i 4olom /e0hada% sisi l&a0 %ile1a%5 Ja0a4 /ian' /hd sisi 4olom5 Be0a/ 3e/on5 Be0a/ /anah5 Momen an' /e07adi %ada %ile1a%5
1 6 ( L 3 ) < 6 e 6 1 a 6 @" 6 1 ? L ? h ? >1 6 @ 6 1 ? L ? ; ? >s 6
#.## ### "#*+ #-"
m m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 "$*++* 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ",## mm h6 Te3al %ile1a%5 -## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 ## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 "**$,+ 4Nm + Rn 6 Mn ? "# < ( 3 ? d ) 6 "#" Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ### rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ### As 6 r ? 3 ? d 6 "..+" L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? 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 p < - ? D ? 3 < s 6 ",#*$+ L&as /&lan'an /e0%a4ai5 . TULANGAN SUSUT
mm mm mm mm mm mm
rsmin 6 Rasio /&lan'an s&s&/ minim&m5 ###" As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 .$+ As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 .$+ Diame/e0 /&lan'an an' di'&na4an5 " s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 +* s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 +* s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3 Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3
mm mm mm mm mm mm mm mm mm
PERHITUNGAN KEKUATAN ,ONDASI
KODE 8ONDASI 2
,
DATA BAHAN PILECAP
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an deform ( Æ " mm )5 K&a/ leleh 3a7a /&lan'an %olos ( Æ ≤ " mm )5 Be0a/ 3e/on 3e0/&lan'5
: 1= 6 : 6 : 6 >1 6
# *# -# -
MPa MPa MPa 4N
3 6 3 6 a6 h6 ;6 >s 6 as 6
#$ #$ #-# ## #*# ",## -#
m m m m m 4N
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 #)
DATA BEBAN ,ONDASI
P&4 6 M& 6 M& 6 H& 6 H& 6 f ? Pn 6 f ? Hn 6
Gaa a4sial 4olom a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Tahanan a4sial /ian' %an1an'5 Tahanan la/e0al /ian' %an1an'5
-#### +### -$## -### ### ### ###
4N 4Nm 4Nm 4N 4N 4N 4N
DATA SUSUNAN TIANG PANCANG
S&s&nan /ian' %an1an' a0ah 2 n ? No J&mlah n (m) (m) " " #$# #$ " ### ### " #$# #$ S 6 #$# n6 Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5
S&s&nan /ian' %an1an' a0ah 2 No J&mlah n (m) " " #+# ## n6
S 6 L 6 L 6
n ? (m) #+ #", #$",# ".#
m m
-*$. # -,$* #$# #+# #$#
4N 4N 4N m m 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 'aa a4sial /e0:a4/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
##
m
%&ma 6 P& < n M&? ma < S M&? ma < S 6 %&min 6 P& < n M&? min < S M&? min < S 6 f ? Pn %&ma ≤
."*. .+*.
4N 4N
Len'an minim&m /ian' %an1an' a0ah /hd %&sa/5 Gaa a4sial ma4sim&m dan minim&m %ada /ian' %an1an'5
Sa0a/ 2
."*.
###
→
BAHA+A (NG)
2. GA+A LATERAL PADA TIANG PANCANG
Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al 4om3inasi d&a a0ah5 h&ma Sa0a/ 2 "++.
h& 6 H& < n 6 h& 6 H& < n 6 h&ma 6 ( h& h& ) 6 f ? Hn ≤
###
→
" "### "++.
4N 4N 4N
AMAN (OK)
. TINAUAN GESER ARAH
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 d 6 h d= 6 Te3al e:e4/i: %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
#"## ### #+$ .+$#
m m m 4N
@ 6 1 ? L ? ; ? >s 6 "." Be0a/ /anah5 & 6 %&ma @" @ 6 -."" Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ".## d6 Te3al e:e4/i: %ile1a%5 ## b1 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 %e0ss33 2
4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
4N 4N 4N 4N
.+#+ ,-*.#+ $#+,- $#+,- #.$ ,#"
4N
Sa0a/ an' ha0&s di%en&hi5
f * 1 ,#"
≥
& -.""
AMAN (OK)
*. TINAUAN GESER ARAH +
Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 Te3al e:e4/i: %ile1a%5
d= 6 d 6 h d= 6
#"## ###
m m
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 -"-, Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ",## d6 Te3al e:e4/i: %ile1a%5 ## b1 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 %e0ss33 2
m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
4N 4N 4N 4N
,#-*,,+-+" $++$+ $++$+ #.$ -#-*
4N
Sa0a/ an' ha0&s di%en&hi5
f * 1 -#-*
≥
& -"-,
AMAN (OK)
-. TINAUAN GESER DUA ARAH (PONS)
Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 Te3al e:e4/i: %ile1a%5
d= 6 d 6 h d= 6
#"## ###
m m
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 -##### Gaa 'ese0 %ons a4i3a/ 3e3an /e0:a4/o0 %ada 4olom5 A% 6 ? ( B B ) ? d 6 L&as 3idan' 'ese0 %ons5 #--# 3% 6 ? ( B B ) 6 Le3a0 3idan' 'ese0 %ons5 ## b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai /e04e1il da0i : % an' di%e0oleh da0i %e0ss33 2
m m 4N m m
: % 6 C " < b1 ? : 1= < + 6 : % 6 C as ? d < 3% ? : 1= < " 6 : % 6 " < ? : 1= 6 : % 6 Te'an'an 'ese0 %ons an' disa0a/4an5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese0 %ons5 f ? n% 6 f ? A% ? : % ? "# 6 K&a/ 'ese0 %ons5 f ? n% P&4 ≥ Sa0a/ 2
MPa MPa MPa MPa
-*"*$
. PEMBESIAN PILECAP .1. TULANGAN LENTUR ARAH
-#####
+ "#" "-*" "-*" #.$ -*"* AMAN (OK)
4N
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 m 4N 4N
M& 6 %&ma ? e @" ? 1 < @ ? 1 < 6 ..*. 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ".## mm h6 Te3al %ile1a%5 ## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 ## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 *.-" 4Nm + Rn 6 Mn ? "# < ( 3 ? d ) 6 "-+. Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###, rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###, As 6 r ? 3 ? d 6 "#+$* L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? D ? 3 < As 6 Ja0a4 /&lan'an an' di%e0l&4an5 + sma 6 Ja0a4 /&lan'an ma4sim&m5 ## s6 Ja0a4 /&lan'an an' di'&na4an5 ## D "+ ## Di'&na4an /&lan'an5 3 As 6 p < - ? D ? 3 < s 6 ".#*# L&as /&lan'an /e0%a4ai5 .2. TULANGAN LENTUR ARAH +
mm mm mm mm mm mm
Ja0a4 /e%i 4olom /e0hada% sisi l&a0 %ile1a%5 Ja0a4 /ian' /hd sisi 4olom5 Be0a/ 3e/on5 Be0a/ /anah5 Momen an' /e07adi %ada %ile1a%5
1 6 " a 3 < 6 e 6 1 a 6 @" 6 1 ? L ? h ? >1 6 @ 6 1 ? L ? ; ? >s 6
#,$ #-$ "#+* -#$.
m m 4N 4N
M& 6 %&ma ? e @" ? 1 < @ ? 1 < 6 "#"$$ 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ",## mm h6 Te3al %ile1a%5 ## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 ## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 "+$+* 4Nm Rn 6 Mn ? "#+ < ( 3 ? d ) 6 ".$.*" Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 rmin 6 Rasio /&lan'an minim&m5 r6 Rasio /&lan'an an' di'&na4an5 As 6 r ? 3 ? d 6 L&as /&lan'an an' di%e0l&4an5
###-, ###$ ###-, "."+$.
mm
Diame/e0 /&lan'an an' di'&na4an5 Ja0a4 /&lan'an an' di%e0l&4an5 Ja0a4 /&lan'an ma4sim&m5 Ja0a4 /&lan'an an' di'&na4an5 Di'&na4an /&lan'an5 L&as /&lan'an /e0%a4ai5
D "+ s 6 p < - ? D ? 3 < As 6 "" sma 6 ## s6 ## D "+ ## 3 As 6 p < - ? D ? 3 < s 6 ",#*$+
mm mm mm mm mm
. TULANGAN SUSUT
rsmin 6 Rasio /&lan'an s&s&/ minim&m5 ###" As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 -.+ As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 $#Diame/e0 /&lan'an an' di'&na4an5 " s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 -#s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 -#s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3 Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3
mm mm mm mm mm mm mm mm mm
PERHITUNGAN KEKUATAN ,ONDASI
KODE 8ONDASI 2
,2
DATA BAHAN PILECAP
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an deform ( Æ " mm )5 K&a/ leleh 3a7a /&lan'an %olos ( Æ ≤ " mm )5 Be0a/ 3e/on 3e0/&lan'5
: 1= 6 : 6 : 6 >1 6
# *# -# -
MPa MPa MPa 4N
3 6 3 6 a6
## ## #-#
m m m
DATA DIMENSI ,ONDASI
Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5 Ja0a4 /ian' %an1an' /e%i /e0hada% sisi l&a0 3e/on5
h6 ;6 >s 6 as 6
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 #)
#$ #*# ",## -#
m m 4N
#### ### ### ### "### ### ###
4N 4Nm 4Nm 4N 4N 4N 4N
DATA BEBAN ,ONDASI
P&4 6 M& 6 M& 6 H& 6 H& 6 f ? Pn 6 f ? Hn 6
Gaa a4sial 4olom a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/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) " " #$# #$ " #$# #$
S 6 n6 Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5
#$#
S&s&nan /ian' %an1an' a0ah 2 No J&mlah n (m) " " ###
n6
"
S 6 L 6 L 6
n ? (m) ###
### ",# #,#
m 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 'aa a4sial /e0:a4/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 Gaa a4sial ma4sim&m dan minim&m %ada /ian' %an1an'5
""# -$" #$# #$#
4N 4N 4N m m
%&ma 6 P& < n M&? ma < S 6 %&min 6 P& < n M&? min < S 6 f ? Pn %&ma ≤
#"$ "-"$
4N 4N
Sa0a/ 2
#"$
###
→
BAHA+A (NG)
2. GA+A LATERAL PADA TIANG PANCANG
Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al 4om3inasi d&a a0ah5 h&ma Sa0a/ 2 """,
. TINAUAN TERHADAP GESER
h& 6 H& < n 6 h& 6 H& < n 6 h&ma 6 ( h& h& ) 6 f ? Hn ≤
###
→
"### $## """, AMAN (OK)
4N 4N 4N
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %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 ",,*$-Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ,## d6 Te3al e:e4/i: %ile1a%5 $# b1 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 %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 --."- 4N 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 "#,#.++ 4N 1 6 " < ? : 1= ? 3 ? d ? "# 6 *,"- 4N 1 6 *,"- 4N Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 #.$ f * 1 6 +#. 4N K&a/ 'ese0 %ile1a%5 Sa0a/ an' ha0&s di%en&hi5
f * 1 +#.
. PEMBESIAN PILECAP
≥
& ",,*$-
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 "$- 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ,## mm h6 Te3al %ile1a%5 $# mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 $# mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 "+*".* 4Nm + Rn 6 Mn ? "# < ( 3 ? d ) 6 ,$, Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###*, rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###*, As 6 r ? 3 ? d 6 "*$-"* L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? 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
mm mm mm mm mm
As 6 p < - ? D ? 3 < s 6 #"#+ L&as /&lan'an /e0%a4ai5 As3 6 $# ? As 6 "##$" T&lan'an 3a'i diam3il $# /&lan'an %o4o45 s 6 p < - ? D ? 3 < As3 6 Ja0a4 /&lan'an 3a'i an' di%e0l&4an5 "+# sma 6 Ja0a4 /&lan'an ma4sim&m5 ## s6 Ja0a4 /&lan'an an' di'&na4an5 "+# D "+ "+# Di'&na4an /&lan'an5 3 As 6 p < - ? D ? 3 < s 6 "##$" L&as /&lan'an /e0%a4ai5
mm mm mm mm mm mm
. TULANGAN SUSUT
rsmin 6 Rasio /&lan'an s&s&/ minim&m5 ###" As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/5 ,# Diame/e0 /&lan'an an' di'&na4an5 " s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/5 sma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m5 ## s6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3
mm mm mm mm mm
PERHITUNGAN KEKUATAN TIANG PANCANG [C]2010 : M. Noer Ilham
A. DATA TANAH DATA HASIL PENGUJIAN
No
Kedalaman ;" (m) ; (m) " $
### $## "### "$## ###
$## "### "$## ### $##
LABORATORIUM (DATA BOR TANAH) 1& g j Jenis ( ! ) Tanah (4N
SONDIR
9:
SPT Nilai SPT
N
(4N
$ " . $ -
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 : 1= 6 >1 6
#-# ".## $ -
m m MPa 4N
A 6 p < - ? D 6 @% 6 A ? L ? >1 6 : 1= 6
#"$. $". $###
m 4N 4Pa
Pn 6 ## ? : 1= ? A " ? @ % 6 f 6 f ? Pn 6
,," #+# $,$.
4N
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 8a4/o0 0ed&4si 4e4&a/an5 Tahanan a4sial /ian' %an1an'5
4N
2. BERDASARKAN DATA BOR TANAH (SKEMPTON) a. Tahanan ujung
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 m 4N
b. Tahanan g!"
Ps 6 S C ad ? 1& ? As Tahanan 'ese4 nominal men&0&/ S4em%/on 2 ad 6 :a4/o0 adhesi 1& 6 Kohesi /anah di se%an7an' /ian' (4N
Tahanan nominal /ian' %an1an'5
Pn 6 P3 Ps 6
$.$#
4N
f 6 8a4/o0 0ed&4si 4e4&a/an5 f ? Pn 6 Tahanan a4sial /ian' %an1an'5 . BERDASARKAN HASIL UI SONDIR (BAGEMANN)
#+# -$"
4N
a. Tahanan ujung
P3 6 w ? A3 ? 91 Tahanan &7&n' nominal dihi/&n' den'an 0&m&s 2 w 6 :a4/o0 0ed&4si nilai /ahanan &7&n' nominal /ian'5 A3 6 l&as &7&n' 3a>ah /ian' (m)5 91 6 /ahanan %ene/0asi 4e0&1&/ s/a/is an' me0&%a4an nilai 0a/a0a/a dihi/&n' da0i ,D di a/as dasa0 /ian' sam%ai -D di 3a>ah dasa0 /ian' (4Nah dasa0 91 6 91 6 → - /ian' %an1an'5 4'<1m -## 4N
Ps 6 S C As ? 9: Tahanan 'ese4 nominal men&0&/ S4em%/on dihi/&n' d' 0&m&s 2 A: 6 L&as %e0m&4aan se'men dindin' /ian' (m) As 6 p ? D ? L" 9: 6 /ahanan 'ese4 4e0&1&/ s/a/is 0a/a0a/a (4N
Pn 6 P3 Ps 6 f 6 f ? Pn 6 →
$-#*, #+# -$*
*. BERDASARKAN HASIL UI SPT (ME+ERHO,,)
Ka%asi/as nominal /ian' %an1an' se1a0a em%i0is da0i nilai N hasil %en'&7ian SPT
4N 4N
men&0&/ Mee0ho:: dina/a4an den'an 0&m&s 2
Pn 6 -# ? N3 ? A3 Pn 6 ,# ? ? A3
? As
(4N) (4N)
dan ha0&s £ N3 6 nilai SPT di se4i/a0 dasa0 /ian'5 dihi/&n' da0i ,D di a/as dasa0 /ian' sd -D di 3a>ah dasa0 /ian'5 F 6 nilai SPT 0a/a0a/a 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) " ### $## $ $# $# $## "### " $# +## "### "$## . $# "$# "$## ".## # # +## ".# ,## 6 S L"?N < S L" 6 "+-. Nilai SPT 0a/a0a/a di se%an7an' /ian'5 Nilai SPT di se4i/a0 dasa0 /ian' (,D di a/as dasa0 /ian' sd -D di 3a>ah dasa0 /ian')5 N3 6 ### D6 Diame/e0 /ian' %an1an'5 #-# m L6 Pan7an' /ian' %an1an'5 ".## m A3 6 p < - ? D 6 #"$. m L&as dasa0 /ian' %an1an'5 As 6 p ? D ? L 6 "+, m L&as selim&/ /ian' %an1an'5 Pn 6 -# ? N3 ? A3 ? As 6 $#+$-,-+ 4N Pn ,# ? ? A3 6 .,+$" 4N Pn 6 $#+$ 4N Ka%asi/as nominal /ian' %an1an'5 f 6 8a4/o0 0ed&4si 4e4&a/an5 #+# f ? Pn 6 #"$* 4N → Tahanan a4sial /ian' %an1an'5 -. REKAP TAHANAN AKSIAL TIANG PANCANG
No
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 (Mee0ho::)
f ? Pn $,$. -$" -$* #"$*
Daa d&4&n' a4sial /e04e1il5 Diam3il /ahanan a4sial /ian' %an1an'5
→
f ? Pn 6 f ? Pn 6
#"$* ####
4N 4N
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 ? b ? ( e ? b " ) #$ den'an5 b 6 C 4h ? D < ( - ? E 1 ? I1 ) D6 D 6 Diame/e0 /ian' %an1an' (m)5 #-# L6 L 6 %an7an' /ian' %an1an' (m)5 ".## 4h 6 mod&l&s s&3'0ade ho0ison/al (4N
m m 4N
4N
4N
2. BERDASARKAN MOMEN MAKSIMUM (BRINCH HANSEN)
: 3 6 #-# ? : 1= ? "# 6 K&a/ len/&0 3e/on /ian' %an1an'5 @ 6 I1 < (D<) 6 Tahanan momen5 M 6 : 3 ? @ 6 Momen ma4sim&m5 Kohesi /anah 0a/a0a/a di se%an7an' /ian' L" 1& 1& ? L" No Kedalaman ;" (m) ; (m) (m) (4N
"#### ###+, +,
4N
-
"$##
".##
S L" 6 Kohesi /anah 0a/a0a/a5
# ".#
+##
"+## +$"##
S1&?L" 6 & 6 S C 1& ? L" < S L" 6 ,*-"".+$ 4N
: 6 Hn < C * ? & ? D %e0s(") ' 6 L ( : "$ ? D ) %e0s() M 6 Hn ? ( e "$ ? D #$ ? : ) %e0s() M 6 * < - ? D ? & ? ' %e0s(-) : 6 ###.$, ? Hn Da0i %e0s(") 2 ' 6 "+-# ###.$- ? Hn Da0i %e0s() 2 ' 6 #####$ ? Hn #.*$ ? Hn +,*+ * < - ? D ? 1& 6 --+$ M 6 Hn ? ( #,## Da0i %e0s() 2 ###+ ? Hn ) M 6 ###+ ? H& #,#### ? Hn M 6 ###","- ? H& Da0i %e0s(-) 2 ,### ? Hn *+*+. Pe0s4&ad0a/ 2 # 6 ###"," ? H& *#### ? Hn *+*+. Hn 6 ,.$$"# 4N Da0i %e0s 4&ad0a/5 di%e0oleh /ahanan la/e0al nominal5 :6
+$" -,#-,,
m 4Nm
Mma 6 Hn ? ( e "$ ? D #$ ? : ) 6 Mma M → T0/a!u" &$ang 'anjang (OK) M 6 Hn ? ( #,## Da0i %e0s() 2 ###+ ? Hn ) 6 +, ###+ ? Hn #,#### ? H& Pe0s4&ad0a/ 2 # 6 ###+ ? Hn #,#### ? Hn +, Hn 6 +"-" 4N Da0i %e0s 4&ad0a/5 di%e0oleh /ahanan la/e0al nominal5 f 6 8a4/o0 0ed&4si 4e4&a/an5 #+# f ? Hn 6 → 4N Tahanan la/e0al /ian' %an1an'5 +,+ . REKAP TAHANAN LATERAL TIANG
U0aian Tahanan La/e0al Tian' Pan1an' " Be0dasa04an de:le4si /ian' ma4sim&m Be0dasa04an momen ma4sim&m Tahanan la/e0al /ian' /e04e1il5 → Diam3il /ahanan la/e0al /ian' %an1an'5
f ? Hn
No
f ? Hn 6 f ? Hn 6
$+, +,+ +,+ ###
4N 4N
PERHITUNGAN KEKUATAN ,ONDASI
KODE 8ONDASI 2
,4
DATA BAHAN PILECAP
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an deform ( Æ " mm )5 K&a/ leleh 3a7a /&lan'an %olos ( Æ ≤ " mm )5 Be0a/ 3e/on 3e0/&lan'5
: 1= 6 : 6 : 6 >1 6
# *# -# -
MPa MPa MPa 4N
3 6 3 6 a6 h6 ;6 >s 6 as 6
#+# #+# #-# #$# #*# ",## -#
m m m m m 4N
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 #)
DATA BEBAN ,ONDASI
P&4 6 M& 6 M& 6 H& 6 H& 6 f ? Pn 6 f ? Hn 6
Gaa a4sial 4olom a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Tahanan a4sial /ian' %an1an'5 Tahanan la/e0al /ian' %an1an'5
"$#### $### ### "$### "### #### ###
4N 4Nm 4Nm 4N 4N 4N 4N
DATA SUSUNAN TIANG PANCANG
S&s&nan /ian' %an1an' a0ah 2 n ? No J&mlah n (m) (m) " "## ## ### ### "## ## S 6 +## n6 * Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5
S&s&nan /ian' %an1an' a0ah 2 No J&mlah n (m) " "## ### "## S 6 n6 *
n ? (m) ## ### ## +## ,# ,#
m m
@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 'aa a4sial /e0:a4/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 Gaa a4sial ma4sim&m dan minim&m %ada /ian' %an1an'5
".#" *-#, ".+$" "## "## "## "##
4N 4N 4N 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 f ? Pn %&ma ≤
.--, "".,"
4N 4N
L 6 L 6
1. GA+A AKSIAL PADA TIANG PANCANG
Sa0a/ 2
.--,
####
2. GA+A LATERAL PADA TIANG PANCANG
→
AMAN (OK)
Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al 4om3inasi d&a a0ah5 h&ma Sa0a/ 2 #$
h& 6 H& < n 6 h& 6 H& < n 6 h&ma 6 ( h& h& ) 6 f ? Hn ≤
###
→
"++. "--#$
4N 4N 4N
AMAN (OK)
. TINAUAN GESER ARAH
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %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 .$." Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ,## d6 Te3al e:e4/i: %ile1a%5 -## b1 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 %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 $#-*+ 4N 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 "**, 4N
1 6 " < ? Diam3il5 4&a/ 'ese0 %ile1a%5 8a4/o0 0ed&4si 4e4&a/an 'ese05 K&a/ 'ese0 %ile1a%5 Sa0a/ an' ha0&s di%en&hi5
f * 1 "$"*,
≥
: 1= ? 3 ? d ? "# 6 "++*$*. 4N 1 6 "++*$*. 4N f 6 #.$ f * 1 6 "$"*, 4N & .$."
AMAN (OK)
*. TINAUAN GESER ARAH +
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %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 .$." Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ,## d6 Te3al e:e4/i: %ile1a%5 -## b1 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 %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
$#-*+ "**, "++*$*. "++*$*. #.$ "$"*,
4N 4N 4N 4N 4N
Sa0a/ an' ha0&s di%en&hi5
f * 1 "$"*,
≥
& .$."
AMAN (OK)
-. TINAUAN GESER DUA ARAH (PONS)
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %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 "$##### Gaa 'ese0 %ons a4i3a/ 3e3an /e0:a4/o0 %ada 4olom5 A% 6 ? ( B B ) ? d 6 L&as 3idan' 'ese0 %ons5 "+## 3% 6 ? ( B B ) 6 Le3a0 3idan' 'ese0 %ons5 -### b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai /e04e1il da0i : % an' di%e0oleh da0i %e0ss33 2 : % 6 C " < b1 ?
: 1= < + 6
+
m m m m 4N m m
MPa
: % 6 C as ? d < 3% ? : 1= < " 6 : % 6 " < ? : 1= 6 : % 6 Te'an'an 'ese0 %ons an' disa0a/4an5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese0 %ons5 f ? n% 6 f ? A% ? : % ? "# 6 K&a/ 'ese0 %ons5 f ? n% P&4 ≥ Sa0a/ 2 ".,,,$-
"$#####
+ "-*" "-*" #.$ ".,,,$
MPa MPa MPa 4N
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 h6 Te3al %ile1a%5
$,+,## $##
4Nm mm mm
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
Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 Te3al e:e4/i: %la/5 K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an5 Mod&l&s elas/is 3a7a5 8a4/o0 dis/0i3&si /e' 3e/on5
d= 6 "## d 6 h d= 6 -## : 1= 6 # : 6 *# Es 6 ##E#$ b" 6 #,$
mm mm MPa MPa MPa
r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 ++#.* 4Nm Rn 6 Mn ? "#+ < ( 3 ? d ) 6 "-.-*, Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###-# rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###-# As 6 r ? 3 ? d 6 --.$ L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? 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 p < - ? D ? 3 < s 6 -+*"-$ L&as /&lan'an /e0%a4ai5 .2. TULANGAN LENTUR ARAH +
mm mm mm mm mm mm
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 $,+- 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ,## mm h6 Te3al %ile1a%5 $## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 -## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 ++#.* 4Nm + Rn 6 Mn ? "# < ( 3 ? d ) 6 "-.-*, Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###-# rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###-# As 6 r ? 3 ? d 6 --.$ L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? D ? 3 < As 6 Ja0a4 /&lan'an an' di%e0l&4an5 ". sma 6 Ja0a4 /&lan'an ma4sim&m5 ## s6 Ja0a4 /&lan'an an' di'&na4an5 ". D "+ "# 3 Di'&na4an /&lan'an5 As 6 p < - ? D ? 3 < s 6 -+*"-$ L&as /&lan'an /e0%a4ai5 . TULANGAN SUSUT
mm mm mm mm mm mm
rsmin 6 Rasio /&lan'an s&s&/ minim&m5 ###" As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 "$+, As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 "$+, Diame/e0 /&lan'an an' di'&na4an5 " s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 # s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 # s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3 Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3
mm mm mm mm mm mm mm mm mm
PERHITUNGAN KEKUATAN ,ONDASI
KODE 8ONDASI 2
,
DATA BAHAN PILECAP
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an deform ( Æ " mm )5 K&a/ leleh 3a7a /&lan'an %olos ( Æ ≤ " mm )5 Be0a/ 3e/on 3e0/&lan'5
: 1= 6 : 6 : 6 >1 6
# *# -# -
MPa MPa MPa 4N
3 6 3 6 a6 h6 ;6 >s 6 as 6
#$$ #$$ #-# #$# #*# ",## -#
m m m m m 4N
DATA DIMENSI ,ONDASI
Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5 Ja0a4 /ian' %an1an' /e%i /e0hada% sisi l&a0 3e/on5 Te3al %ile1a%5 Te3al /anah di a/as %ile1a%5 Be0a/ ol&me /anah di a/as %ile1a%5 Posisi 4olom (dalam 6 -#5 /e%i 6 #5 s&d&/ 6 #)
DATA BEBAN ,ONDASI
P&4 6 M& 6 M& 6 H& 6 H& 6 f ? Pn 6 f ? Hn 6
Gaa a4sial 4olom a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Tahanan a4sial /ian' %an1an'5 Tahanan la/e0al /ian' %an1an'5
*$### $### "-### "#### *### #### ###
4N 4Nm 4Nm 4N 4N 4N 4N
DATA SUSUNAN TIANG PANCANG
S&s&nan /ian' %an1an' a0ah 2 n ? No J&mlah n (m) (m) " "## ## ### ### "## ## S 6 -## n6 + Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5
S&s&nan /ian' %an1an' a0ah 2 No J&mlah n (m) " #$# #$# n6
+
S 6 L 6 L 6
n ? (m) #.$ #.$ "$# ,# ",#
m m
,"+$ +#-, ""#$$ "## #$# "##
4N 4N 4N m m m
1. GA+A AKSIAL PADA TIANG PANCANG
@s 6 L ? L ? ; ? >s 6 Be0a/ /anah di a/as %ile1a%5 @1 6 L ? L ? h ? >1 6 Be0a/ %ile1a%5 P& 6 P&4 " ? @s " ? @1 6 To/al 'aa a4sial /e0:a4/o05 ma 6 Len'an ma4sim&m /ian' %an1an' a0ah /hd %&sa/5 ma 6 Len'an ma4sim&m /ian' %an1an' a0ah /hd %&sa/5 min 6 Len'an minim&m /ian' %an1an' a0ah /hd %&sa/5
min 6
#$#
m
%&ma 6 P& < n M&? ma < S M&? ma < S 6 %&min 6 P& < n M&? min < S M&? min < S 6 f ? Pn %&ma ≤
*$* ..$*
4N 4N
Len'an minim&m /ian' %an1an' a0ah /hd %&sa/5 Gaa a4sial ma4sim&m dan minim&m %ada /ian' %an1an'5
Sa0a/ 2
*$*
####
→
AMAN (OK)
2. GA+A LATERAL PADA TIANG PANCANG
Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al 4om3inasi d&a a0ah5 h&ma Sa0a/ 2 -
h& 6 H& < n 6 h& 6 H& < n 6 h&ma 6 ( h& h& ) 6 f ? Hn ≤
###
→
"++. "$## -
4N 4N 4N
AMAN (OK)
. TINAUAN GESER ARAH
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 d 6 h d= 6 Te3al e:e4/i: %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
#"## #-## #*$ "**,#
m m m 4N
@ 6 1 ? L ? ; ? >s 6 +*. Be0a/ /anah5 & 6 ? %&ma @" @ 6 $--,*, Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ",## d6 Te3al e:e4/i: %ile1a%5 -## b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 K&a/ 'ese0 %ile1a% a0ah 5 diam3il nilai /e04e1il da0i 1 an' di%e0oleh da0i %e0ss33 2
4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
4N 4N 4N 4N
"+#**+* *".*$ "#." "#." #.$ ,#-*,-
4N
Sa0a/ an' ha0&s di%en&hi5
f * 1 ,#-*,-
≥
& $--,*,
AMAN (OK)
*. TINAUAN GESER ARAH +
Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 Te3al e:e4/i: %ile1a%5
d= 6 d 6 h d= 6
#"## #-##
m m
1 6 ( L 3 d ) < 6 Ja0a4 3id 40i/is /e0hada% sisi l&a05 #-$ @" 6 1 ? L ? h ? >1 6 "-,# Be0a/ 3e/on5 @ 6 1 ? L ? ; ? >s 6 "*., Be0a/ /anah5 & 6 ? %&ma @" @ 6 ,$-"* Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ,## d6 Te3al e:e4/i: %ile1a%5 -## b1 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 %e0ss33 2
m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
4N 4N 4N 4N
$#-*+ "**, "++*$*. "++*$*. #.$ "$"*,
4N
Sa0a/ an' ha0&s di%en&hi5
f * 1 "$"*,
≥
& ,$-"*
AMAN (OK)
-. TINAUAN GESER DUA ARAH (PONS)
Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 Te3al e:e4/i: %ile1a%5
d= 6 d 6 h d= 6
#"## #-##
m m
B 6 3 d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #*$# B 6 3 d 6 Le3a0 3idan' 'ese0 %ons a0ah 5 #*$# P&4 6 *$#### Gaa 'ese0 %ons a4i3a/ 3e3an /e0:a4/o0 %ada 4olom5 A% 6 ? ( B B ) ? d 6 L&as 3idan' 'ese0 %ons5 "$# 3% 6 ? ( B B ) 6 Le3a0 3idan' 'ese0 %ons5 ,## b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai /e04e1il da0i : % an' di%e0oleh da0i %e0ss33 2
m m 4N m m
: % 6 C " < b1 ? : 1= < + 6 : % 6 C as ? d < 3% ? : 1= < " 6 : % 6 " < ? : 1= 6 : % 6 Te'an'an 'ese0 %ons an' disa0a/4an5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese0 %ons5 f ? n% 6 f ? A% ? : % ? "# 6 K&a/ 'ese0 %ons5 f ? n% P&4 ≥ Sa0a/ 2
MPa MPa MPa MPa
"+**-"
. PEMBESIAN PILECAP .1. TULANGAN LENTUR ARAH
*$####
+ "$ "-*" "-*" #.$ "+**-" AMAN (OK)
4N
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 *+*." 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ",## mm h6 Te3al %ile1a%5 $## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 -## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 -*+" 4Nm + Rn 6 Mn ? "# < ( 3 ? d ) 6 ".*+ Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###-. rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###-. As 6 r ? 3 ? d 6 +#,# L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? D ? 3 < As 6 Ja0a4 /&lan'an an' di%e0l&4an5 "#, sma 6 Ja0a4 /&lan'an ma4sim&m5 ## s6 Ja0a4 /&lan'an an' di'&na4an5 "#, D "+ "## Di'&na4an /&lan'an5 3 As 6 p < - ? D ? 3 < s 6 +"*"" L&as /&lan'an /e0%a4ai5 .2. TULANGAN LENTUR ARAH +
mm mm mm mm mm mm
Ja0a4 /e%i 4olom /e0hada% sisi l&a0 %ile1a%5 Ja0a4 /ian' /hd sisi 4olom5 Be0a/ 3e/on5 Be0a/ /anah5 Momen an' /e07adi %ada %ile1a%5
1 6 ( L 3 ) < 6 e 6 1 a 6 @" 6 1 ? L ? h ? >1 6 @ 6 1 ? L ? ; ? >s 6
#+$ #$ "### ,$#
m m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 ",-, 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ,## mm h6 Te3al %ile1a%5 $## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 -## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 #-"# 4Nm Rn 6 Mn ? "#+ < ( 3 ? d ) 6 #$"-" Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 rmin 6 Rasio /&lan'an minim&m5 r6 Rasio /&lan'an an' di'&na4an5 As 6 r ? 3 ? d 6 L&as /&lan'an an' di%e0l&4an5
###" ###$ ###$ ,####
mm
Diame/e0 /&lan'an an' di'&na4an5 Ja0a4 /&lan'an an' di%e0l&4an5 Ja0a4 /&lan'an ma4sim&m5 Ja0a4 /&lan'an an' di'&na4an5 Di'&na4an /&lan'an5 L&as /&lan'an /e0%a4ai5
D "+ s 6 p < - ? D ? 3 < As 6 #" sma 6 ## s6 ## D "+ ## 3 As 6 p < - ? D ? 3 < s 6 ,"-,.
mm mm mm mm mm
. TULANGAN SUSUT
rsmin 6 Rasio /&lan'an s&s&/ minim&m5 ###" As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 "##, As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 "$+, Diame/e0 /&lan'an an' di'&na4an5 " s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 # s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 # s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3 Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3
mm mm mm mm mm mm mm mm mm
PERHITUNGAN KEKUATAN ,ONDASI
KODE 8ONDASI 2
,-
DATA BAHAN PILECAP
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an deform ( Æ " mm )5 K&a/ leleh 3a7a /&lan'an %olos ( Æ ≤ " mm )5 Be0a/ 3e/on 3e0/&lan'5
: 1= 6 : 6 : 6 >1 6
# *# -# -
MPa MPa MPa 4N
3 6 3 6 a6
#+# #+# #-#
m m m
DATA DIMENSI ,ONDASI
Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5 Ja0a4 /ian' %an1an' /e%i /e0hada% sisi l&a0 3e/on5
Te3al %ile1a%5 Te3al /anah di a/as %ile1a%5 Be0a/ ol&me /anah di a/as %ile1a%5 Posisi 4olom (dalam 6 -#5 /e%i 6 #5 s&d&/ 6 #)
h6 ;6 >s 6 as 6
#$# #*# ",## -#
m m 4N
P&4 6 M& 6 M& 6 H& 6 H& 6 f ? Pn 6 f ? Hn 6
.#### ",### "$### *### ,$## #### ###
4N 4Nm 4Nm 4N 4N 4N 4N
DATA BEBAN ,ONDASI
Gaa a4sial 4olom a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Momen a0ah a4i3a/ 3e3an /e0:a4/o0 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/o05 Gaa la/e0al a0ah a4i3a/ 3e3an /e0:a4/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) " #.# #*, " ### ### #.# #*, S 6 "*+ n6 $ Le3a0 %ile1a% a0ah 5 Le3a0 %ile1a% a0ah 5
S&s&nan /ian' %an1an' a0ah 2 No J&mlah n (m) " #.# " ### #.# S 6 n6 $
L 6 L 6
n ? (m) #*, ### #*, "*+ # #
m 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 'aa a4sial /e0:a4/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 Gaa a4sial ma4sim&m dan minim&m %ada /ian' %an1an'5
.,-" $,#, ,+.* #.# #.# #.# #.#
4N 4N 4N 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 f ? Pn %&ma ≤
*#+" $-*#
4N 4N
Sa0a/ 2
*#+"
####
→
AMAN (OK)
2. GA+A LATERAL PADA TIANG PANCANG
Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al a0ah %ada /ian'5 Gaa la/e0al 4om3inasi d&a a0ah5 h&ma Sa0a/ 2 -.+
. TINAUAN GESER ARAH
h& 6 H& < n 6 h& 6 H& < n 6 h&ma 6 ( h& h& ) 6 f ? Hn ≤
###
→
",## ".## -.+ AMAN (OK)
4N 4N 4N
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %ile1a%5 #-## 1 6 ( L 3 d ) < 6 Ja0a4 3id 40i/is /e0hada% sisi l&a05 #+## @" 6 1 ? L ? h ? >1 6 "$,-# Be0a/ 3e/on5 @ 6 1 ? L ? ; ? >s 6 ",Be0a/ /anah5 & 6 ? %&ma @" @ 6 $--##$ Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ## d6 Te3al e:e4/i: %ile1a%5 -## b1 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 %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
4N 4N 4N 4N
"*+..-# #-"#$ """,. """,. #.$ *,,.#
Sa0a/ an' ha0&s di%en&hi5
f * 1 *,,.#
*. TINAUAN GESER ARAH +
≥
& $--##$
AMAN (OK)
4N
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %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 $--##$ Gaa 'ese0 a0ah 5 3 6 L 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ## d6 Te3al e:e4/i: %ile1a%5 -## b1 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 %e0ss33 2
m m m 4N 4N 4N mm mm
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 %ile1a%5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 %ile1a%5
4N 4N 4N 4N
"*+..-# #-"#$ """,. """,. #.$ *,,.#
Sa0a/ an' ha0&s di%en&hi5
f * 1 *,,.#
≥
-. TINAUAN GESER DUA ARAH (PONS)
& $--##$
AMAN (OK)
4N
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 #"## d 6 h d= 6 Te3al e:e4/i: %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 .##### Gaa 'ese0 %ons a4i3a/ 3e3an /e0:a4/o0 %ada 4olom5 A% 6 ? ( B B ) ? d 6 L&as 3idan' 'ese0 %ons5 "+## 3% 6 ? ( B B ) 6 Le3a0 3idan' 'ese0 %ons5 -### b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai /e04e1il da0i : % an' di%e0oleh da0i %e0ss33 2
m m m m 4N m m
: % 6 C " < b1 ? : 1= < + 6 : % 6 C as ? d < 3% ? : 1= < " 6 : % 6 " < ? : 1= 6 : % 6 Te'an'an 'ese0 %ons an' disa0a/4an5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese0 %ons5 f ? n% 6 f ? A% ? : % ? "# 6 K&a/ 'ese0 %ons5 f ? n% P&4 ≥ Sa0a/ 2
MPa MPa MPa MPa
".,,,$-
. PEMBESIAN PILECAP .1. TULANGAN LENTUR ARAH
.#####
+ + "-*" "-*" #.$ ".,,,$ AMAN (OK)
4N
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 "+* 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ## mm h6 Te3al %ile1a%5 $## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 -## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $** Mn 6 M& < f 6 +$.*, 4Nm Rn 6 Mn ? "#+ < ( 3 ? d ) 6 #.$$"" Rn Rma (OK) Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 #### rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###$ As 6 r ? 3 ? d 6 #### L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? D ? 3 < As 6 Ja0a4 /&lan'an an' di%e0l&4an5 #" sma 6 Ja0a4 /&lan'an ma4sim&m5 ##
mm mm mm mm
Ja0a4 /&lan'an an' di'&na4an5 Di'&na4an /&lan'an5 L&as /&lan'an /e0%a4ai5
s6
##
D "+ ## 3 As 6 p < - ? D ? 3 < s 6 ""+,
mm mm
.2. TULANGAN LENTUR ARAH +
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 m 4N 4N
M& 6 ? %&ma ? e @" ? 1 < @ ? 1 < 6 "+* 4Nm 3 6 L 6 Le3a0 %ile1a% an' di/in7a&5 ## mm h6 Te3al %ile1a%5 $## mm d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 "## mm d 6 h d= 6 Te3al e:e4/i: %la/5 -## mm : 1= 6 K&a/ /e4an 3e/on5 # MPa : 6 K&a/ leleh 3a7a /&lan'an5 *# MPa Es 6 ##E#$ MPa Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 #,$ r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 ##-$$ f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 #,# Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 $**
Mn 6 M& < f 6 Rn 6 Mn ? "#+ < ( 3 ? d ) 6 Rn
Rma
+$.*, #.$$""
4Nm
(OK)
Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 #### rmin 6 Rasio /&lan'an minim&m5 ###$ r6 Rasio /&lan'an an' di'&na4an5 ###$ As 6 r ? 3 ? d 6 #### L&as /&lan'an an' di%e0l&4an5 D "+ Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? 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 p < - ? D ? 3 < s 6 ""+, L&as /&lan'an /e0%a4ai5
mm mm mm mm mm mm
. TULANGAN SUSUT
rsmin 6 Rasio /&lan'an s&s&/ minim&m5 ###" As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 " As 6 rsmin? 3 ? d 6 L&as /&lan'an s&s&/ a0ah 5 " Diame/e0 /&lan'an an' di'&na4an5 " s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 # s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## s 6 p < - ? Æ ? 3 < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 # s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 ## s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 ## Æ " ## 3 Di'&na4an /&lan'an s&s&/ a0ah 5 Æ " ## Di'&na4an /&lan'an s&s&/ a0ah 5 3
mm mm mm mm mm mm mm mm mm
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
PERHITUNGAN ,ONDASI ,OOTPLAT BENTUK EMPAT PERSEGI PANJANG [C]2010 : M. Noer Ilham
A. DATA ,ONDASI ,OOT PLAT DATA TANAH
Kedalaman :ondasi5 Be0a/ ol&me /anah5 S&d&/ 'ese4 dalam5 Kohesi5 Tahanan 4on&s 0a/a0a/a (hasil %en'&7ian sondi0)5
D: 6 g6 f6 16 91 6
#,# ".+# -## ## "###
B 6 B 6 h6 3 6 3 6
,# ,# #.# #$# #$#
DIMENSI ,ONDASI
Le3a0 :ondasi a0ah 5 Le3a0 :ondasi a0ah 5 Te3al :ondasi5 Le3a0 4olom a0ah 5 Le3a0 4olom a0ah 5
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
Posisi 4olom (dalam 6 -#5 /e%i 6 #5 s&d&/ 6 #)
REISION 2 R# #<<#"+
as 6
-#
: 1= 6 : 6 g1 6
## *# -
BAHAN KONSTRUKSI
K&a/ /e4an 3e/on5 K&a/ leleh 3a7a /&lan'an5 Be0a/ 3e/on 3e0/&lan'5 BEBAN RENCANA ,ONDASI
Gaa a4sial a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o05 Momen a0ah a4i3a/ 3e3an /e0:a4/o05
P& 6 ###### M& 6 #### M& 6 ####
B. KAPASITAS DUKUNG TANAH 1. MENURUT TER5AGHI DAN PECK (14*)
Ka%asi/as d&4&n' &l/imi/ /anah men&0&/ Te0;a'hi dan Pe14 ("*-) 2
9& 6 1 ? N1 ? (" # ? B < L) D : ? g ? N9 #$ ? B ? Ng ? (" # ? B < L) 1 6 4ohesi /anah (4N
16 ## D: 6 #,# g 6 ".+# B 6 B 6 ,# L 6 B 6 ,# f 6 -## f 6 f < ",# ? p 6 #$*-""*$ a 6 e(?p < - f<)?/an f 6 -#""-#,*, K%g 6 ? /an C -$° "<?( f °) 6 .-.+#$*
8a4/o0 4a%asi/as d&4&n' /anah men&0&/ Te0;a'hi 2
N1 6 "< /an f ? C a < ( ? 1os (-$ f<) " 6 N9 6 a < C ( ? 1os (-$ f<) 6 N1 ? /an f " 6 Ng 6 "< ? /an f ? C K%g < 1os f " 6
$+. +$#$+
Ka%asi/as d&4&n' &l/imi/ /anah men&0&/ Te0;a'hi 2
9& 6 1?N1?("#?B
..," $.+#
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
2. MENURUT ME+ERHO, (14-)
Ka%asi/as d&4&n' /anah men&0&/ Mee0ho: ("*$+) 2
9a 6 91 < ? C ( B # ) < B ? Kd Kd 6 " # ? D: < B den'an5
( dalam 4'<1m) ha0&s £ "
91 6 /ahanan 4on&s 0a/a0a/a hasil sondi0 %ada dasa0 :ondasi ( 4'<1m ) B 6 B 6 B 6 le3a0 :ondasi (m) ,# D: 6 Kedalaman :ondasi (m) D: 6 #,# Kd 6 " # ? D: < B 6 "#+*-.+, Kd 6 "#+*-.+, diam3il5 91 6 "### Tahanan 4on&s 0a/a0a/a hasil sondi0 %ada dasa0 :ondasi5 9a 6 91 < ? C ( B # ) < B ? Kd 6 ,-, 9a 6 ,-, Ka%asi/as d&4&n' i7in /anah5 . KAPASITAS DUKUNG TANAH +ANG DIPAKAI
Ka%asi/as d&4&n' /anah men&0&/ Te0;a'hi dan Pe14 2 Ka%asi/as d&4&n' /anah /anah men&0&/ Mee0ho: 2 Ka%asi/as d&4&n' /anah an' di%a4ai 2
C. KONTROL TEGANGAN TANAH
9a 6 9a 6 9a 6
$.+# ,-, $.+#
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
A 6 B ? B 6 "---## L&as dasa0 :oo/ %la/5 @ 6 "<+ ? B ? B 6 *"-$ Tahanan momen a0ah 5 @ 6 "<+ ? B ? B 6 *"-$ Tahanan momen a0ah 5 ; 6 D: h 6 Tin''i /anah di a/as :oo/ %la/5 #"# 9 6 h ? g1 ; ? g 6 ",$+# Te4anan a4i3a/ 3e0a/ :oo/ %la/ dan /anah5 E4sen/0isi/as %ada :ondasi 2 e 6 M& < P& 6 ##### m B < + 6 #+ m 6 e 6 M& < P& 6 ##### m B < + 6 #+ m 6 Te'an'an /anah ma4sim&m an' /e07adi %ada dasa0 :ondasi 2 9ma 6 P& < A M& < @ M& < @ 9 6 +"+ 9ma
6
9a
AMAN (OK)
Te'an'an /anah minim&m an' /e07adi %ada dasa0 :ondasi 2
9min 6 P& < A M& < @ M& < @ 9 6 +"+ 9min
7
&a" &0ja8$ &g.&a0$" (OK
D. GA+A GESER PADA ,OOT PLAT 1. TINAUAN GESER ARAH
Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 Te3al e:e4/i: :oo/ %la/5
d= 6 d 6 h d= 6
##.$ #+$
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
a 6 ( B 3 d ) < 6 Ja0a4 3id 40i/is /e0hada% sisi l&a0 :oo/ %la/5 Te'an'an /anah %ada 3idan' 40i/is 'ese0 a0ah 5
",
9 6 9min (B a) < B ? (9ma 9min) 6 +"+ & 6 C 9 ( 9ma 9 ) < 9 ? a ? B 6 "#$$*" Gaa 'ese0 a0ah 5 3 6 B 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ,## d6 Te3al e:e4/i: :oo/%la/5 +$ b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 K&a/ 'ese0 :oo/ %la/ a0ah 5 diam3il nilai /e04e1il da0i 1 an' di%e0oleh da0i %e0ss33 2
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 :oo/ %la/5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 :oo/ %la/5
$"#++" .$*"$-#--" $-#--" #.$ +$$"
Sa0a/ an' ha0&s di%en&hi5
f * 1 +$$"
≥
& "#$$*"
AMAN (OK)
2. TINAUAN GESER ARAH +
d= 6 Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 d 6 h d= 6 Te3al e:e4/i: :oo/ %la/5 a 6 ( B 3 d ) < 6 Ja0a4 3id 40i/is /e0hada% sisi l&a0 :oo/ %la/5 Te'an'an /anah %ada 3idan' 40i/is 'ese0 a0ah 5
##,$ #+"$ "-
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
9 6 9min (B a) < B ? (9ma 9min) 6 +"+ & 6 C 9 ( 9ma 9 ) < 9 ? a ? B 6 "#$*,+, Gaa 'ese0 a0ah 5 3 6 B 6 Le3a0 3idan' 'ese0 &n/&4 /in7a&an a0ah 5 ,## d6 Te3al e:e4/i: :oo/%la/5 +"$ b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 K&a/ 'ese0 :oo/ %la/ a0ah 5 diam3il nilai /e04e1il da0i 1 an' di%e0oleh da0i %e0ss33 2
1 6 C " < b1 ? : 1= ? 3 ? d < + ? "# 6 1 6 C as ? d < 3 ? : 1= ? 3 ? d < " ? "# 6 1 6 " < ? : 1= ? 3 ? d ? "# 6 1 6 Diam3il5 4&a/ 'ese0 :oo/ %la/5 f 6 8a4/o0 0ed&4si 4e4&a/an 'ese05 f * 1 6 K&a/ 'ese0 :oo/ %la/5
$$+*" .,#"- -,.*-,.*#.$ +",-$
Sa0a/ an' ha0&s di%en&hi5
f * 1 +",-$
≥
& "#$*,+,
AMAN (OK)
. TINAUAN GESER DUA ARAH (PONS)
Ja0a4 %&sa/ /&lan'an /e0hada% sisi l&a0 3e/on5 Te3al e:e4/i: :oo/ %la/5 Le3a0 3idan' 'ese0 %ons a0ah 5 Le3a0 3idan' 'ese0 %ons a0ah 5
d= 6 d 6 h d= 6 1 6 3 ? d 6 1 6 3 ? d 6
##,$ #+ """$ """$
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
Gaa 'ese0 %ons an' /e07adi5
&% 6 ( B ? B 1 ? 1 ) ? C ( 9 ma 9min ) < 9 6 .-"." A% 6 ? ( 1 1 ) ? d 6 .- L&as 3idan' 'ese0 %ons5 3% 6 ? ( 1 1 ) 6 --+# Le3a0 3idan' 'ese0 %ons5 b1 6 3 < 3 6 "#### Rasio sisi %an7an' /hd sisi %ende4 4olom5 Te'an'an 'ese0 %ons5 diam3il nilai /e04e1il da0i : % an' di%e0oleh da0i %e0ss33 2 : % 6 C " < b1 ? : 1= < + 6 + : % 6 C as ? d < 3% ? : 1= < " 6 ,#" : % 6 " < ? : 1= 6 "-*" : % 6 Te'an'an 'ese0 %ons an' disa0a/4an5 "-*" f 6 8a4/o0 0ed&4si 4e4&a/an 'ese0 %ons5 #.$ f ? n% 6 f ? A% ? : % ? "# 6 #++++ K&a/ 'ese0 %ons5 f ? n% ≥ &% Sa0a/ 2 #+++$$
f ? n% #+++$$
≥
.-"."
AMAN (OK)
P& ######
AMAN (OK)
E. PEMBESIAN ,OOTPLAT 1. TULANGAN LENTUR ARAH
Ja0a4 /e%i 4olom /e0hada% sisi l&a0 :oo/ %la/5 Te'an'an /anah %ada /e%i 4olom5
a 6 ( B 3 ) < 6
"+$#
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
9 6 9min (B a) < B ? (9ma 9min) 6 +"+ Momen an' /e07adi %ada %la/ :ondasi a4i3a/ /e'an'an /anah5
M& 6 "< ? a ? C 9 < ? ( 9 ma 9 ) 9 ? B 6 3 6 B 6 Le3a0 %la/ :ondasi an' di/in7a&5 h6 Te3al %la/ :ondasi5 d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 d 6 h d= 6 Te3al e:e4/i: %la/5 : 1= 6 K&a/ /e4an 3e/on5 : 6 K&a/ leleh 3a7a /&lan'an5 Es 6 Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 Mn 6 M& < f 6 Rn 6 Mn ? "#+ < ( 3 ? d ) 6 Rn Rma (OK)
"#.-+." ,## .## .$ +$ # *# ##E#$ #,$ ##-$$ #,# $** "-* #*#-**
Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###rmin 6 ###$ Rasio /&lan'an minim&m5 r 6 ###$ Rasio /&lan'an an' di'&na4an5 As 6 r ? 3 ? d 6 $*.$# L&as /&lan'an an' di%e0l&4an5 D " Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? 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 p < - ? D ? 3 < s 6 +"*$. L&as /&lan'an /e0%a4ai5 2. TULANGAN LENTUR ARAH +
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
Ja0a4 /e%i 4olom /e0hada% sisi l&a0 :oo/ %la/5 Te'an'an /anah %ada /e%i 4olom5
a 6 ( B 3 ) < 6
REISION 2 R# #<<#"+
"+$#
9 6 9min (B a) < B ? (9ma 9min) 6 +"+ Momen an' /e07adi %ada %la/ :ondasi a4i3a/ /e'an'an /anah5
M& 6 "< ? a ? C 9 < ? ( 9 ma 9 ) 9 ? B 6 3 6 B 6 Le3a0 %la/ :ondasi an' di/in7a&5 h6 Te3al %la/ :ondasi5 d= 6 Ja0a4 %&sa/ /&lan'an /hd sisi l&a0 3e/on5 d 6 h d= 6 Te3al e:e4/i: %la/5 : 1= 6 K&a/ /e4an 3e/on5 : 6 K&a/ leleh 3a7a /&lan'an5 Es 6 Mod&l&s elas/is 3a7a5 b" 6 8a4/o0 dis/0i3&si /e' 3e/on5 r3 6 b"? #,$ ? : 1< : ? +## < ( +## : ) 6 f 6 8a4/o0 0ed&4si 4e4&a/an len/&05 Rma 6 #.$ ? r3 ? : ? C"?#.$? r3 ? : < ( #,$ ? : 1 ) 6 Mn 6 M& < f 6 Rn 6 Mn ? "#+ < ( 3 ? d ) 6 Rn Rma (OK)
"#.-+." ,## .## ,$ +"$ # *# ##E#$ #,$ ##-$$ #,# $** "-* #*-++
Rasio /&lan'an an' di%e0l&4an5
r 6 #,$ ? : 1 < : ? C " " Q ? Rn < ( #,$ ? : 1 ) 6 ###$ rmin 6 ###$ Rasio /&lan'an minim&m5 r 6 ###$ Rasio /&lan'an an' di'&na4an5 As 6 r ? 3 ? d 6 $,-$# L&as /&lan'an an' di%e0l&4an5 D " Diame/e0 /&lan'an an' di'&na4an5 s 6 p < - ? D ? 3 < As 6 Ja0a4 /&lan'an an' di%e0l&4an5 .-
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
Ja0a4 /&lan'an ma4sim&m5 Ja0a4 /&lan'an an' di'&na4an5 Di'&na4an /&lan'an5 L&as /&lan'an /e0%a4ai5
REISION 2 R# #<<#"+
sma 6 s6
## .-
D " .# 3 As 6 p < - ? D ? 3 < s 6 +"*$.
. 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
rsmin 6 ###" As 6 rsmin? d ? B 6 $### As 6 rsmin? d ? B 6 .",##
s 6 p < - ? Æ ? B < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5 s 6 Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 s 6 p < - ? Æ ? B < As 6 Ja0a4 /&lan'an s&s&/ a0ah 5 s5ma 6 Ja0a4 /&lan'an s&s&/ ma4sim&m a0ah 5
" "* ## "* "" ##
JOB NO 2 LIENT 2 PROJ 2
ITEM ONRETE 8OUNDATION HEK
Ja0a4 /&lan'an s&s&/ a0ah an' di'&na4an5 Di'&na4an /&lan'an s&s&/ a0ah 5 Di'&na4an /&lan'an s&s&/ a0ah 5
REISION 2 R# #<<#"+
s 6 Æ " Æ "
3 3
""
"# "#
JOB NO 2 LIENT 2 PROJ 2
m 4N
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
MPa MPa 4N
° m 4N
4N
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
m m 6 1.
4'<1m 4'<1m 4N
4N
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
m m m m 4N
4N
4N
m m
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
m 4N
4N 4N 4N 4N 4N
m m m
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
4N
4N 4N 4N 4N 4N
m m m m
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
4N m m
MPa MPa MPa MPa 4N
m
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
4N
4Nm
mm mm mm mm mm mm
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
m 4N
4Nm
mm mm mm
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+
JOB NO 2 LIENT 2 PROJ 2
mm mm mm
mm mm mm mm mm mm mm mm
ITEM ONRETE 8OUNDATION HEK
REISION 2 R# #<<#"+