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    PERHITUNGAN KEKUATAN TIANG PANCANG

    [C]2010 : M. Noer Ilham

    A. DATA TANAH

    DATA HASIL PENGUJIAN LABORATORIUM (DATA BOR TANAH) SONDIR

    No Kedalaman Jenis

    Tanah ( ! )

    " ### $## lem%&n' ## **+ # $+#

    $## "### lem%&n' ### **+ # "#

    "### "$## lem%&n' $## **+ # ",-#

    - "$## ### lem% %ada. +"## "#/ # +#$ ### $## lem% %asi0 +## ""+, " /#

    B. DATA BAHAN

    Jenis .ian' %an1an' 2 Be.on 3e0.&lan' .am%an' lin'4a0an

    Diame.e0 .ian' %an1an'5 D 6 #-#

    Pan7an' .ian' %an1an'5 L 6 "/##

    K&a. .e4an 3e.on .ian' %an1an'5 $

    Be0a. 3e.on 3e0.&lan'5 -

    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 $,$/

    1& 9:;"(m) ;(m) (4N

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    2. BERDASARKAN DATA BOR TANAH (SKEMPTON)

    a. Tahanan ujung

    Tahanan &7&n' nominal dihi.&n' den'an 0&m&s 2

    8a4.o0 daa d&4&n'

    Diame.e0 .ian' %an1an'5 D 6 #-#

    L&as .am%an' .ian' %an1an'5 #"$/

    Kohesi .anah di se4i.a0 dasa0 .ian'5 $$##

    8a4.o0 daa d&4&n' men&0&. S4em%.on5 *

    Tahanan &7&n' nominal .ian' %an1an' 2 +#-

    b. Tahanan g!"

    Tahanan 'ese4 nominal men&0&. S4em%.on 2

    :a4.o0 adhesi

    8a4.o0 adhesi &n.&4 7enis .anah lem%&n' %ada .ian' %an1an' an' nilaina .e0'an.&n'nilai 4ohesi .anah5 men&0&. S4em%.on5 diam3il 2

    Diame.e0 .ian' %an1an'5 D 6 #-##

    L&as %e0m&4aan dindin' se'men .ian'5

    %an7an' se'men .ian' %an1an' an' di.in7a& (m)

    Pe0hi.&n'an .ahanan 'ese4 nominal .ian'

    No Kedalaman

    (m) (4N)" ### $## $# +, ## #, ""*/#/

    $## "### $# +, ### #/$ "-#$#

    "### "$## $# +, $## #$$ "/*+"/

    - "$## "/## # $" $$## #$ /"-*

    Tahanan 'ese4 nominal .ian'5 $"**

    $"**

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

    Tahanan nominal .ian' %an1an'5 $/$#

    P36 A3? 13? N1A36 L&as %enam%an' &7&n' 3a>ah .ian' (m)51

    36 Kohesi .anah di 3a>ah dasa0 .ian' (4N

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    8a4.o0 0ed&4si 4e4&a.an5 #+#

    Tahanan a4sial .ian' %an1an'5 -$"

    . BERDASARKAN HASIL UI SONDIR (BAGEMANN)

    a. Tahanan ujungTahanan &7&n' nominal dihi.&n' den'an 0&m&s 2

    :a4.o0 0ed&4si nilai .ahanan &7&n' nominal .ian'5

    .ahanan %ene.0asi 4e0&1&. s.a.is an' me0&%a4an nilai 0a.a0a.a dihi.&n' da0i ,D

    Diame.e0 .ian' %an1an'5 D 6 #-#

    L&as .am%an' .ian' %an1an'5 #"$/

    Tahanan %ene.0asi 4e0&1&. s.a.is 0a.a0a.a da0i ,D di a.as dasa0 sd -D di 3a>ah dasa

    .ian' %an1an'5 - -##

    8a4.o0 0ed&4si nilai .ahanan &7&n' nominal .ian'5 #$#

    Tahanan &7&n' nominal .ian' %an1an' 2 +,*-

    b. Tahanan g!"

    Tahanan 'ese4 nominal men&0&. S4em%.on dihi.&n' d' 0&m&s 2

    .ahanan 'ese4 4e0&1&. s.a.is 0a.a0a.a (4N

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    men&0&. Mee0ho:: dina.a4an den'an 0&m&s 2

    nilai SPT di se4i.a0 dasa0 .ian'5 dihi.&n' da0i ,D di a.as dasa0 .ian' sd -D di 3a

    dasa0 .ian'5F 6 nilai SPT 0a.a0a.a di se%an7an' .ian'5

    Be0dasa04an hasil %en'&7ian SPT di%e0oleh da.a s33

    No Kedalaman Nilai SPT

    N (m)

    " ### $## $ $# $#

    $## "### " $# +##

    "### "$## / $# "$#

    - "$## "/## # # +##

    "/# ,##

    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

    ###

    Diame.e0 .ian' %an1an'5 D 6 #-#Pan7an' .ian' %an1an'5 L 6 "/##

    L&as dasa0 .ian' %an1an'5 #"$/

    L&as selim&. .ian' %an1an'5 "+,

    $#+$-,-+

    /,+$"

    Ka%asi.as nominal .ian' %an1an'5 $#+$

    8a4.o0 0ed&4si 4e4&a.an5 #+#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::) #"$*

    Pn6 -# ? N3? A3 F ? As

    dan ha0&s Pn6 ,# ? F ? A3

    N36

    A36 l&as dasa0 .ian' (m)

    As6 l&as selim&. .ian' (m)

    L"

    L"? N

    ;"(m) ;

    (m)

    F 6 L"?N < L"6

    N36

    A36 < - ? D6

    As6 ? D ? L 6Pn6 -# ? N3? A3 F ? As6

    Pn ,# ? F ? A36

    Pn6

    6? Pn6

    ? Pn

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    Daa d&4&n' a4sial .e04e1il5 #"$*

    Diam3il .ahanan a4sial .ian' %an1an'5 ####

    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

    den'an5

    D 6Diame.e0 .ian' %an1an' (m)5 D 6 #-#

    L 6%an7an' .ian' %an1an' (m)5 L 6 "/##

    +/#

    $#####

    ###"$/

    e 6 Ja0a4 3e3an la.e0al .e0hada% m&4a .anah (m)5 e 6 ##

    de:le4si .ian' ma4sim&m (m) ###+

    = 4oe:isien de:le4si .ian'5 #$-,-$$

    * 2.- /a"a &0/a!u" &$ang 'anjang (OK)

    Tahanan la.e0al nominal .ian' %an1an'5

    $+,

    8a4.o0 0ed&4si 4e4&a.an5 #+#

    Tahanan la.e0al .ian' %an1an'5 "+"

    2. BERDASARKAN MOMEN MAKSIMUM (BRINCH HANSEN)

    K&a. len.&0 3e.on .ian' %an1an'5 "####

    Tahanan momen5 ###+,

    Momen ma4sim&m5 +,

    Kohesi .anah 0a.a0a.a di se%an7an' .ian'

    No Kedalaman

    (m)

    " ### $## $# ## ""$##

    $## "### $# ### "$###

    "### "$## $# $## +###

    ? Pn6

    ? Pn6

    H 6 o? 4

    h? D < C ? ? ( e ? " )

    6 C 4h? D < ( - ? E1? I1) #$

    4h6 mod&l&s s&3'0ade ho0ison.al (4N

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    - "$## "/## # +## "+##

    "/# +$"##

    Kohesi .anah 0a.a0a.a5 ,*-""/+$

    %e0s(")

    ' 6 L ( : "$ ? D ) %e0s()%e0s()

    %e0s(-)

    Da0i %e0s(") 2 : 6 ###/$,

    Da0i %e0s() 2 ' 6 "+-# ###/$-

    #####$ #/*$ +,*+

    --+$

    Da0i %e0s() 2 #,## ###+

    ###+ #,####

    Da0i %e0s(-) 2 ###","- ,### *+*+/

    Pe0s4&ad0a. 2 # 6 ###"," *#### *+*+/

    Da0i %e0s 4&ad0a.5 di%e0oleh .ahanan la.e0al nominal5 ,/$$"#

    : 6 +$"

    -,#-,,

    T0/a!u" &$ang 'anjan

    Da0i %e0s() 2 #,## ###++, 6 ###+ #,####

    Pe0s4&ad0a. 2 # 6 ###+ #,#### +,

    Da0i %e0s 4&ad0a.5 di%e0oleh .ahanan la.e0al nominal5 +"-"

    8a4.o0 0ed&4si 4e4&a.an5 #+#

    Tahanan la.e0al .ian' %an1an'5 +,+

    . REKAP TAHANAN LATERAL TIANG

    No 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 ###

    L"6 1&?L"6&6 C 1&? L" < L"6

    : 6 Hn< C * ?

    &? D

    M6 Hn? ( e "$ ? D #$ ? : )

    M6 * < - ? D ?

    &? '

    ? Hn? H

    n

    '6 ? Hn ? H

    n

    * < - ? D ? 1&6

    M6 H

    n? ( ? H

    n)

    M6 ? H& ? Hn

    M6 ? H& ? Hn

    ? H& ? Hn

    Hn6

    Mma6 Hn? ( e "$ ? D #$ ? : ) 6

    Mma M

    M6 Hn? ( ? Hn)? Hn

    ? Hn ? Hn

    Hn6

    6? Hn6

    ? Hn

    ? Hn6

    ? Hn6

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    PERHITUNGAN KEKUATAN ,ONDASI

    KODE 8ONDASI 2 ,*

    DATA BAHAN PILECAPK&a. .e4an 3e.on5 #

    *#

    -#

    Be0a. 3e.on 3e0.&lan'5 -

    DATA DIMENSI ,ONDASI

    Le3a0 4olom a0ah 5 #-#

    Le3a0 4olom a0ah 5 #-#

    Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 a 6 #-#

    Te3al %ile1a%5 h 6 #-#

    Te3al .anah di a.as %ile1a%5 ; 6 #*#

    Be0a. ol&me .anah di a.as %ile1a%5 ",##

    Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #) -#

    :1= 6

    K&a. leleh 3a7a .&lan'an deform( " mm )5 : 6

    K&a. leleh 3a7a .&lan'an %olos ( " mm )5 : 6

    >1 6

    36

    36

    >s6

    s6

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    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 S&s&nan .ian' %an1an' a0ah 2

    No J&mlah No J&mlah

    n (m) n (m)

    " #$# #$# " #$# #$#

    #$# #$# #$# #$#

    n 6 - "## n 6 - "##

    Le3a0 %ile1a% a0ah 5 ",#

    Le3a0 %ile1a% a0ah 5 ",#

    1. GA+A AKSIAL PADA TIANG PANCANG

    Be0a. .anah di a.as %ile1a%5 $-*

    Be0a. %ile1a%5 ""#

    To.al 'aa a4sial .e0:a4.o05 /##"

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #$#

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #$#Len'an minim&m .ian' %an1an' a0ah .hd %&sa.5 #$#

    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

    P&46

    M&

    6

    M&6H&6

    H&

    6

    ? Pn6

    ? Hn6

    n ? n ?

    (m) (m)

    6 6L6

    L6

    @s6 L ? L ? ; ? >s6

    @16 L ? L ? h ? >16

    P&6 P&4 " ? @s " ? @16

    ma6

    ma

    6

    min6

    min6

    %&ma 6 P& < n M&? ma < M&? ma <

    6

    %&min 6 P& < n M&? min < M&? min <

    6

    %&ma ? Pn

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    Gaa la.e0al a0ah %ada .ian'5 "/$#

    Gaa la.e0al a0ah %ada .ian'5 "$#

    Gaa la.e0al 4om3inasi d&a a0ah5 "$"

    Sa0a. 2 "$" ### AMAN (OK)

    . TINAUAN GESER ARAH

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 ###

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #$$#Be0a. 3e.on5 *$#-

    Be0a. .anah5 "+#,

    Gaa 'ese0 a0ah 5 $--+"

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",##

    Te3al e:e4.i: %ile1a%5 d 6 ##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    "#/-//

    "/--"

    h& 6 H& < n 6

    h& 6 H& < n 6

    h&ma

    6 ( h&

    h&

    ) 6

    h&ma ? Hn

    1

    6 ( L

    3

    d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    &6 ? %&ma @" @6

    3 6 L6

    16 3< 36

    K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

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    ,#-*,-

    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

    +#/, $--+" AMAN (OK)

    *. TINAUAN GESER ARAH +

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##Te3al e:e4.i: %ile1a%5 d 6 h d= 6 ###

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #$$#

    Be0a. 3e.on5 *$#-

    Be0a. .anah5 "+#,

    Gaa 'ese0 a0ah 5 $--+"

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",##

    Te3al e:e4.i: %ile1a%5 d 6 ##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    16 " < ? :1= ? 3 ? d ? "#616

    6

    16

    1 &

    16 ( L 3 d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    &6 ? %&ma @" @6

    3 6 L6

    16 3< 36K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

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    "#/-//

    "/--"

    ,#-*,-

    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

    +#/, $--+" AMAN (OK)

    -. TINAUAN GESER DUA ARAH (PONS)

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##Te3al e:e4.i: %ile1a%5 d 6 h d= 6 ###

    Le3a0 3idan' 'ese0 %ons a0ah 5 #/##

    Le3a0 3idan' 'ese0 %ons a0ah 5 #/##

    Gaa 'ese0 %ons a4i3a. 3e3an .e0:a4.o0 %ada 4olom5 +#####

    L&as 3idan' 'ese0 %ons5 #,-#

    Le3a0 3idan' 'ese0 %ons5 ,##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    +

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#6

    16

    6 16

    1 &

    B6 3 d 6

    B6 3 d 6

    P&46

    A%6 ? ( B B) ? d 6

    3%6 ? ( B B) 6

    16 3< 36

    Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i :% an' di%e0oleh da0i %e0ss33 2:%6 C " < 1 ? :1= < + 6

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    -

    "-*"

    Te'an'an 'ese0 %ons an' disa0a.4an5 "-*"

    8a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 #/$

    K&a. 'ese0 %ons5 **"$Sa0a. 2

    **"-* +##### AMAN (OK)

    . PEMBESIAN PILECAP

    .1. 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

    "$*++*

    Le3a0 %ile1a% an' di.in7a&5 ",##

    Te3al %ile1a%5 h 6 -##

    :%6 C s? d < 3% ? :1= < " 6:%6 " < ? :1= 6

    :%6

    6

    ? n%6? A%? :%? "#

    6? n% P&4

    16 ( L 3) < 6

    e6 1 a 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    M&6 ? %&ma? e @"? 1< @? 1< 6

    3 6 L6

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    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 ##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    "**$,+

    "#"

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###

    L&as .&lan'an an' di%e0l&4an5 "//+"

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 #-

    Ja0a4 .&lan'an ma4sim&m5 ##Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##

    L&as .&lan'an .e0%a4ai5 ",#*$+

    .2. TULANGAN LENTUR ARAH +

    :1= 6

    :6

    Es6"6

    36

    "? #,$ ? :

    1< :

    ? +## < ( +## :

    ) 6

    6R

    ma6 #/$ ?

    3? :

    ? C"?#/$?

    3? :

    < ( #,$ ? :

    1 ) 6

    Mn6 M

    &< 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn

    Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

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    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

    "$*++*

    Le3a0 %ile1a% an' di.in7a&5 ",##

    Te3al %ile1a%5 h 6 -##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 ##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**"**$,+

    "#"

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5

    ###L&as .&lan'an an' di%e0l&4an5 "//+"

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 #-

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##

    L&as .&lan'an .e0%a4ai5 ",#*$+

    . TULANGAN SUSUT

    16 ( L

    3

    ) < 6

    e6 1 a 6@"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    M&

    6 ? %&ma

    ? e @

    "? 1

    < @

    ? 1

    < 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6

    Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

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    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 "Ja0a4 .&lan'an s&s&. a0ah 5 +*

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    Ja0a4 .&lan'an s&s&. a0ah an' di'&na4an5 ##

    Ja0a4 .&lan'an s&s&. a0ah 5 +*

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    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 ##

    PERHITUNGAN KEKUATAN ,ONDASI

    KODE 8ONDASI 2 ,

    DATA BAHAN PILECAP

    K&a. .e4an 3e.on5 #

    *#

    -#

    Be0a. 3e.on 3e0.&lan'5 -

    DATA DIMENSI ,ONDASI

    Le3a0 4olom a0ah 5 #$

    Le3a0 4olom a0ah 5 #$Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 a 6 #-#

    Te3al %ile1a%5 h 6 ##

    Te3al .anah di a.as %ile1a%5 ; 6 #*#

    Be0a. ol&me .anah di a.as %ile1a%5 ",##

    Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #) -#

    smin6

    As6 smin? 3 ? d 6 A

    s6

    smin? 3 ? d 6

    s6 < - ? ? 3 < As6

    s5ma

    6

    s6

    s6 < - ? ? 3 < A

    s6

    s5ma

    6

    s6

    :1= 6

    K&a. leleh 3a7a .&lan'an deform( " mm )5 : 6

    K&a. leleh 3a7a .&lan'an %olos ( " mm )5 : 6

    >1 6

    36

    36

    >s6

    s6

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    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 S&s&nan .ian' %an1an' a0ah 2

    No J&mlah No J&mlah n (m) n (m)

    " " #$# #$ " " #+# #+

    " ### ### ## #",

    " #$# #$

    n 6 #$# n 6 #$-

    Le3a0 %ile1a% a0ah 5 ",#

    Le3a0 %ile1a% a0ah 5 "/#

    1. GA+A AKSIAL PADA TIANG PANCANG

    Be0a. .anah di a.as %ile1a%5 -*$/

    Be0a. %ile1a%5 #

    To.al 'aa a4sial .e0:a4.o05 -,$*

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #$#

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #+#

    Len'an minim&m .ian' %an1an' a0ah .hd %&sa.5 #$#

    P&46

    M&

    6

    M&6H&6

    H&6

    ? Pn6

    ? Hn6

    n ? n ? (m) (m)

    6 6L6

    L

    6

    @s6 L ? L ? ; ? >s6

    @16 L ? L ? h ? >16

    P&6 P&4 " ? @s " ? @16

    ma6

    ma6min6

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    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 "++/

    Sa0a. 2

    "++/ ### AMAN (OK)

    . TINAUAN GESER ARAH

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 ###

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #+$

    Be0a. 3e.on5 /+$#

    min6

    %&ma 6 P& < n M&? ma < M&? ma <

    6

    %&min

    6 P&< n M

    &?

    min< M

    &?

    min< 6

    %&ma ? Pn

    h&

    6 H&

    < n 6

    h& 6 H& < n 6

    h&ma

    6 ( h&

    h&

    ) 6

    h&ma ? Hn

    16 ( L 3 d ) < 6@"6 1 ? L ? h ? >16

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    Be0a. .anah5 "/"

    Gaa 'ese0 a0ah 5 -/""

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 "/##

    Te3al e:e4.i: %ile1a%5 d 6 ##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    /+#+

    ,-*/#+

    $#+,-

    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

    ,#" -/"" AMAN (OK)

    *. TINAUAN GESER ARAH +

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 ###

    @6 1 ? L ? ; ? >s6

    &6 %&ma @" @6

    3 6 L6

    16 3< 36K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " <

    1 ? :

    1= ? 3 ? d < + ? "#6

    16 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :

    1= ? 3 ? d ? "#6

    16

    6

    16

    1 &

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    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #/$

    Be0a. 3e.on5 **+

    Be0a. .anah5 ""-"

    Gaa 'ese0 a0ah 5 -"-,

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",##Te3al e:e4.i: %ile1a%5 d 6 ##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    ,#-*,-

    ,+-+"

    $++$+

    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

    -#-* -"-, AMAN (OK)

    -. TINAUAN GESER DUA ARAH (PONS)

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 ###

    16 " a ( 3 d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    &

    6 %&ma

    @" @

    6

    3 6 L6

    16 3

    < 3

    6

    K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " <

    1 ? :

    1= ? 3 ? d < + ? "#6

    16 C

    s? d < 3 ? :

    1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#6

    16

    6 16

    1 &

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    Le3a0 3idan' 'ese0 %ons a0ah 5 #$$#

    Le3a0 3idan' 'ese0 %ons a0ah 5 #$$#

    Gaa 'ese0 %ons a4i3a. 3e3an .e0:a4.o0 %ada 4olom5 -#####

    L&as 3idan' 'ese0 %ons5 #--#

    Le3a0 3idan' 'ese0 %ons5 ##Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    +

    "#"

    "-*"

    Te'an'an 'ese0 %ons an' disa0a.4an5 "-*"

    8a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 #/$

    K&a. 'ese0 %ons5 -*"*

    Sa0a. 2

    -*"*$ -##### AMAN (OK)

    . PEMBESIAN PILECAP

    .1. TULANGAN LENTUR ARAH

    B6 3 d 6

    B6 3 d 6

    P&46

    A%6 ? ( B

    B

    ) ? d 6

    3%6 ? ( B B) 616 3< 36

    Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i :% an' di%e0oleh da0i %e0ss33 2

    :%6 C " < 1 ? :1= < + 6:%6 C

    s? d < 3

    % ? :

    1= < " 6

    :%6 " < ? :

    1= 6

    :%6

    6 ? n%6? A%? :%? "#6

    ? n% P&4

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    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//*/

    Le3a0 %ile1a% an' di.in7a&5 "/##

    Te3al %ile1a%5 h 6 ##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 ##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    */-"

    "-+/

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###,

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###,

    L&as .&lan'an an' di%e0l&4an5 "#+$*

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 +Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##

    L&as .&lan'an .e0%a4ai5 "/#*#

    .2. TULANGAN LENTUR ARAH +

    16 ( L 3) < 6

    e6 1 a 6

    @"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    M&6 %&ma? e @"? 1< @? 1< 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

    Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As

    6

    sma6

    As6 < - ? D? 3 < s 6

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    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

    "#"$$

    Le3a0 %ile1a% an' di.in7a&5 ",##

    Te3al %ile1a%5 h 6 ##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##Te3al e:e4.i: %la.5 d 6 h d= 6 ##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#$**

    "+$+*

    "/$/*"

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###-,

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5

    ###-,

    L&as .&lan'an an' di%e0l&4an5 "/"+$/

    16

    " a 3

    < 6

    e6 1 a 6@"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    M&6 %&ma? e @"? 1< @? 1< 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

    Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

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    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 ""

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##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 "

    Ja0a4 .&lan'an s&s&. a0ah 5 -#-

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    Ja0a4 .&lan'an s&s&. a0ah an' di'&na4an5 ##

    Ja0a4 .&lan'an s&s&. a0ah 5 -#-

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    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 ##

    PERHITUNGAN KEKUATAN ,ONDASI

    KODE 8ONDASI 2 ,2

    DATA BAHAN PILECAP

    K&a. .e4an 3e.on5 #

    *#

    -#

    Be0a. 3e.on 3e0.&lan'5 -

    DATA DIMENSI ,ONDASI

    Le3a0 4olom a0ah 5 ##Le3a0 4olom a0ah 5 ##

    Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 a 6 #-#

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

    smin

    6

    As6 smin? 3 ? d 6

    As

    6 smin

    ? 3 ? d 6

    s6 < - ? ? 3 < As6

    s5ma6

    s6

    s6 < - ? ? 3 < As6

    s5ma6

    s6

    :1= 6

    K&a. leleh 3a7a .&lan'an deform( " mm )5 : 6

    K&a. leleh 3a7a .&lan'an %olos ( " mm )5 : 6

    >1 6

    3

    6

    36

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    Te3al %ile1a%5 h 6 #$

    Te3al .anah di a.as %ile1a%5 ; 6 #*#

    Be0a. ol&me .anah di a.as %ile1a%5 ",##

    Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #) -#

    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 S&s&nan .ian' %an1an' a0ah 2No J&mlah No J&mlah

    n (m) n (m)

    " " #$# #$ " " ### ###

    " #$# #$

    n 6 #$# n 6 " ###

    Le3a0 %ile1a% a0ah 5 ",#

    Le3a0 %ile1a% a0ah 5 #,#

    >s6

    s6

    P&46

    M&6M&6

    H&6

    H&6

    ? Pn6

    ? Hn6

    n ? n ?

    (m) (m)

    6 6L6

    L6

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    1. GA+A AKSIAL PADA TIANG PANCANG

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

    Be0a. %ile1a%5 ""#

    To.al 'aa a4sial .e0:a4.o05 -$"Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #$#

    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 """,

    Sa0a. 2

    """, ### AMAN (OK)

    . TINAUAN TERHADAP GESER

    @s6 L ? L ? ; ? >s6

    @16 L

    ? L

    ? h ? >

    16

    P&6 P&4 " ? @s " ? @16ma6

    min

    6

    %&ma

    6 P&< n M

    &?

    ma< 6

    %&min

    6 P&< n M

    &?

    min< 6

    %&ma ? Pn

    h& 6 H& < n 6

    h& 6 H& < n 6

    h&ma6 ( h& h&) 6h&ma ? Hn

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    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #$#

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #+$

    Be0a. 3e.on5 -##

    Be0a. .anah5 ,"##

    Gaa 'ese0 a0ah 5 ",,*$--

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ,##

    Te3al e:e4.i: %ile1a%5 d 6 $#

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    --/"-

    "#,#/++

    *,"-

    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

    +#/ ",,*$- AMAN (OK)

    . PEMBESIAN PILECAP

    16 ( L

    3

    d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    &

    6 %&ma

    @" @

    6

    3 6 L6

    16 3< 36K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i

    1an' di%e0oleh da0i %e0ss33 2

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#616

    6

    16

    1 &

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    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

    "$-

    Le3a0 %ile1a% an' di.in7a&5 ,##

    Te3al %ile1a%5 h 6 $#

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 $#

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    "+*"/*

    ,$,

    (OK)

    Rasio .&lan'an an' di%e0l&4an5###*,

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###*,

    L&as .&lan'an an' di%e0l&4an5 "*$-"*

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 ,

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 ,

    Di'&na4an .&lan'an5 D "+ 3 ,#

    16 ( L

    3

    ) < 6

    e6 1 a 6

    @"6 1

    ? L

    ? h ? >

    16

    @6 1

    ? L

    ? ; ? >

    s6

    M&

    6 ? %&ma

    ? e @

    "? 1

    < @

    ? 1

    < 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

    Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6

    sma6

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    L&as .&lan'an .e0%a4ai5 #"#+

    T&lan'an 3a'i diam3il $# .&lan'an %o4o45 "##$"

    Ja0a4 .&lan'an 3a'i an' di%e0l&4an5 "+#

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 "+#

    Di'&na4an .&lan'an5 D "+ 3 "+#

    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 ##

    Ja0a4 .&lan'an s&s&. a0ah an' di'&na4an5 ##

    Di'&na4an .&lan'an s&s&. a0ah 5 " 3 ##

    As6 < - ? D? 3 < s 6

    As36 $# ? As6

    s 6 < - ? D? 3 < As36s

    ma6

    As6 < - ? D? 3 < s

    6

    smin6

    As6

    smin? 3 ? d 6

    s 6 < - ? ? 3 < As6

    sma6

    s 6

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    SPT

    Nilai SPT

    N

    $

    "

    /

    $-

    m

    m

    MPa

    4N

    4Pa

    4N

    4N

    4N

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    m

    4N

    a0i

    m

    4N

    4N

    m

    4N

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    4N

    di

    m

    4N

    4N

    4N

    m

    4N

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    (4N)

    (4N)

    ah

    mm

    4N

    4N

    4N

    4N

    m

    m

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    4N

    4N

    m

    m

    m

    m

    m

    4N

    4N

    4Nm

    4N

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    4N

    m

    4Nm

    (OK)

    4N

    4N

    4N

    4N

    4N

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    MPa

    MPa

    MPa

    m

    m

    m

    m

    m

    4N

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    4N

    4Nm

    4Nm4N

    4N

    4N

    4N

    m

    m

    4N

    4N

    4N

    m

    mm

    m

    4N

    4N

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    4N

    4N

    4N

    m

    m

    m4N

    4N

    4N

    mm

    mm

    4N

    4N

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    4N

    4N

    4N

    mm

    m

    4N

    4N

    4N

    mm

    mm

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    4N

    4N

    4N

    4N

    4N

    mm

    m

    m

    4N

    m

    MPa

    m

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    MPa

    MPa

    MPa

    4N

    m

    m

    4N

    4N

    4Nm

    mm

    mm

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    mm

    mm

    MPa

    MPa

    MPa

    4Nm

    mm

    mm

    mmmm

    mm

    mm

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    m

    m4N

    4N

    4Nm

    mm

    mm

    mm

    mm

    MPa

    MPa

    MPa

    4Nm

    mm

    mm

    mm

    mm

    mm

    mm

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    mmmm

    mm

    mm

    mm

    mm

    mm

    MPa

    MPa

    MPa

    m

    mm

    m

    m

    mm

    mm

    4N

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    4N

    4Nm

    4Nm

    4N

    4N

    4N

    4N

    m

    m

    4N

    4N

    4N

    m

    m

    m

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    m

    4N

    4N

    4N

    4N

    4N

    m

    m

    m

    4N

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    4N

    4N

    mm

    mm

    4N

    4N

    4N

    4N

    4N

    m

    m

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    m

    4N

    4N

    4N

    mmmm

    4N

    4N

    4N

    4N

    4N

    m

    m

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    m

    m

    4N

    m

    MPa

    MPa

    MPa

    MPa

    4N

    m

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    m

    m

    4N

    4N

    4Nm

    mm

    mm

    mm

    mm

    MPa

    MPa

    MPa

    4Nm

    mm

    mmmm

    mm

    mm

    mm

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    m

    m

    4N

    4N

    4Nm

    mm

    mm

    mmmm

    MPa

    MPa

    MPa

    4Nm

    mm

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    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    MPa

    MPa

    MPa

    mm

    m

    mm

    mm

    mm

    4N

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    m

    m

    4N

    4Nm4Nm

    4N

    4N

    4N

    4N

    m

    m

    4N

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    4N

    4N

    4Nm

    m

    4N

    4N

    4N

    4N

    4N

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    mm

    m

    4N

    4N

    4N

    mm

    mm

    4N

    4N

    4N

    4N

    4N

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    m

    m

    4N

    4N

    4Nm

    mm

    mm

    mm

    mm

    MPa

    MPa

    MPa

    4Nm

    mm

    mm

    mm

    mm

    mm

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    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

    mm

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    PERHITUNGAN KEKUATAN TIANG PANCANG

    [C]2010 : M. Noer Ilham

    A. DATA TANAH

    DATA HASIL PENGUJIAN LABORATORIUM (DATA BOR TANAH) SONDIR

    No Kedalaman Jenis

    Tanah ( ! )

    " ### $## lem%&n' ## **+ # $+#

    $## "### lem%&n' ### **+ # "#

    "### "$## lem%&n' $## **+ # ",-#

    - "$## ### lem% %ada. +"## "#/ # +#$ ### $## lem% %asi0 +## ""+, " /#

    B. DATA BAHAN

    Jenis .ian' %an1an' 2 Be.on 3e0.&lan' .am%an' lin'4a0an

    Diame.e0 .ian' %an1an'5 D 6 #$

    Pan7an' .ian' %an1an'5 L 6 -##

    K&a. .e4an 3e.on .ian' %an1an'5 $

    Be0a. 3e.on 3e0.&lan'5 -

    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 ##$-

    1& 9:;"(m) ;(m) (4N

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    2. BERDASARKAN DATA BOR TANAH (SKEMPTON)

    a. Tahanan ujung

    Tahanan &7&n' nominal dihi.&n' den'an 0&m&s 2

    8a4.o0 daa d&4&n'

    Diame.e0 .ian' %an1an'5 D 6 #$

    L&as .am%an' .ian' %an1an'5 ##-*"

    Kohesi .anah di se4i.a0 dasa0 .ian'5 $$##

    8a4.o0 daa d&4&n' men&0&. S4em%.on5 *

    Tahanan &7&n' nominal .ian' %an1an' 2 -*,

    b. Tahanan g!"

    Tahanan 'ese4 nominal men&0&. S4em%.on 2

    :a4.o0 adhesi

    8a4.o0 adhesi &n.&4 7enis .anah lem%&n' %ada .ian' %an1an' an' nilaina .e0'an.&n'nilai 4ohesi .anah5 men&0&. S4em%.on5 diam3il 2

    Diame.e0 .ian' %an1an'5 D 6 #$#

    L&as %e0m&4aan dindin' se'men .ian'5

    %an7an' se'men .ian' %an1an' an' di.in7a& (m)

    Pe0hi.&n'an .ahanan 'ese4 nominal .ian'

    No Kedalaman

    (m) (4N)" ### $## $# */# ## #, /-,"/

    $## "### $# */# ### #/$ ,/,$

    "### "$## $# */# $## #$$ ""+"

    - "$## -## *# /#+,+ $$## #$ #$/"

    Tahanan 'ese4 nominal .ian'5 -,#+-

    -,#+-

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

    Tahanan nominal .ian' %an1an'5 $#-*

    P36 A3? 13? N1A36 L&as %enam%an' &7&n' 3a>ah .ian' (m)51

    36 Kohesi .anah di 3a>ah dasa0 .ian' (4N

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    8a4.o0 0ed&4si 4e4&a.an5 #+#

    Tahanan a4sial .ian' %an1an'5 #*+

    . BERDASARKAN HASIL UI SONDIR (BAGEMANN)

    a. Tahanan ujungTahanan &7&n' nominal dihi.&n' den'an 0&m&s 2

    :a4.o0 0ed&4si nilai .ahanan &7&n' nominal .ian'5

    .ahanan %ene.0asi 4e0&1&. s.a.is an' me0&%a4an nilai 0a.a0a.a dihi.&n' da0i ,D

    Diame.e0 .ian' %an1an'5 D 6 #$

    L&as .am%an' .ian' %an1an'5 ##-*"

    Tahanan %ene.0asi 4e0&1&. s.a.is 0a.a0a.a da0i ,D di a.as dasa0 sd -D di 3a>ah dasa

    .ian' %an1an'5 - -##

    8a4.o0 0ed&4si nilai .ahanan &7&n' nominal .ian'5 #$#

    Tahanan &7&n' nominal .ian' %an1an' 2 "##,-

    b. Tahanan g!"

    Tahanan 'ese4 nominal men&0&. S4em%.on dihi.&n' d' 0&m&s 2

    .ahanan 'ese4 4e0&1&. s.a.is 0a.a0a.a (4N

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    men&0&. Mee0ho:: dina.a4an den'an 0&m&s 2

    nilai SPT di se4i.a0 dasa0 .ian'5 dihi.&n' da0i ,D di a.as dasa0 .ian' sd -D di 3a

    dasa0 .ian'5F 6 nilai SPT 0a.a0a.a di se%an7an' .ian'5

    Be0dasa04an hasil %en'&7ian SPT di%e0oleh da.a s33

    No Kedalaman Nilai SPT

    N (m)

    " ### $## $ $# $#

    $## "### " $# +##

    "### "$## / $# "$#

    - "$## -## # *# /##

    -# -*##

    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

    ###

    Diame.e0 .ian' %an1an'5 D 6 #$Pan7an' .ian' %an1an'5 L 6 -##

    L&as dasa0 .ian' %an1an'5 ##-*"

    L&as selim&. .ian' %an1an'5 ",,-*+

    --/-**+

    ,#,-

    Ka%asi.as nominal .ian' %an1an'5 ,#,-

    8a4.o0 0ed&4si 4e4&a.an5 #+#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::) ,$#

    Pn6 -# ? N3? A3 F ? As

    dan ha0&s Pn6 ,# ? F ? A3

    N36

    A36 l&as dasa0 .ian' (m)

    As6 l&as selim&. .ian' (m)

    L"

    L"? N

    ;"(m) ;

    (m)

    F 6 L"?N < L"6

    N36

    A36 < - ? D6

    As6 ? D ? L 6Pn6 -# ? N3? A3 F ? As6

    Pn ,# ? F ? A36

    Pn6

    6? Pn6

    ? Pn

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    Daa d&4&n' a4sial .e04e1il5 ##$-

    Diam3il .ahanan a4sial .ian' %an1an'5 ####

    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

    den'an5

    D 6Diame.e0 .ian' %an1an' (m)5 D 6 #$

    L 6%an7an' .ian' %an1an' (m)5 L 6 -##

    +/#

    $#####

    ####"*

    e 6 Ja0a4 3e3an la.e0al .e0hada% m&4a .anah (m)5 e 6 ##

    de:le4si .ian' ma4sim&m (m) ##"#

    = 4oe:isien de:le4si .ian'5 #/,#-+"*

    ",/ 2.- /a"a &0/a!u" &$ang 'anjang (OK)

    Tahanan la.e0al nominal .ian' %an1an'5

    /#

    8a4.o0 0ed&4si 4e4&a.an5 #+#

    Tahanan la.e0al .ian' %an1an'5

    2. BERDASARKAN MOMEN MAKSIMUM (BRINCH HANSEN)

    K&a. len.&0 3e.on .ian' %an1an'5 "####

    Tahanan momen5 ###"$

    Momen ma4sim&m5 "$-

    Kohesi .anah 0a.a0a.a di se%an7an' .ian'

    No Kedalaman

    (m)

    " ### $## $# ## ""$##

    $## "### $# ### "$###

    "### "$## $# $## +###

    ? Pn6

    ? Pn6

    H 6 o? 4

    h? D < C ? ? ( e ? " )

    6 C 4h? D < ( - ? E1? I1) #$

    4h6 mod&l&s s&3'0ade ho0ison.al (4N

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    - "$## "/## # +## "+##

    "/# +$"##

    Kohesi .anah 0a.a0a.a5 ,*-""/+$

    %e0s(")

    ' 6 L ( : "$ ? D ) %e0s()%e0s()

    %e0s(-)

    Da0i %e0s(") 2 : 6 ##""+#+"

    Da0i %e0s() 2 ' 6 + ##""+#+

    ####"$ #$-,,/ $$,"-

    "$-#

    Da0i %e0s() 2 #$/$ ###$,#

    ###$,# #$/$##

    Da0i %e0s(-) 2 ###*#"$ "","$ "#$*$

    Pe0s4&ad0a. 2 # 6 ###*# ",/$ "#$*$

    Da0i %e0s 4&ad0a.5 di%e0oleh .ahanan la.e0al nominal5 ,"-*/

    : 6 *-$*

    -,+/

    T0/a!u" &$ang 'anjan

    Da0i %e0s() 2 #$/$ ###$,#"$- 6 ###$,# #$/$##

    Pe0s4&ad0a. 2 # 6 ###$,# #$/$## "$-

    Da0i %e0s 4&ad0a.5 di%e0oleh .ahanan la.e0al nominal5 ",$/

    8a4.o0 0ed&4si 4e4&a.an5 #+#

    Tahanan la.e0al .ian' %an1an'5 """

    . REKAP TAHANAN LATERAL TIANG

    No 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 "###

    L"6 1&?L"6&6 C 1&? L" < L"6

    : 6 Hn< C * ?

    &? D

    M6 Hn? ( e "$ ? D #$ ? : )

    M6 * < - ? D ?

    &? '

    ? Hn? H

    n

    '6 ? Hn ? H

    n

    * < - ? D ? 1&6

    M6 H

    n? ( ? H

    n)

    M6 ? H& ? Hn

    M6 ? H& ? Hn

    ? H& ? Hn

    Hn6

    Mma6 Hn? ( e "$ ? D #$ ? : ) 6

    Mma M

    M6 Hn? ( ? Hn)? Hn

    ? Hn ? Hn

    Hn6

    6? Hn6

    ? Hn

    ? Hn6

    ? Hn6

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    PERHITUNGAN KEKUATAN ,ONDASI

    KODE 8ONDASI 2 ,4

    DATA BAHAN PILECAPK&a. .e4an 3e.on5 #

    *#

    -#

    Be0a. 3e.on 3e0.&lan'5 -

    DATA DIMENSI ,ONDASI

    Le3a0 4olom a0ah 5 #+#

    Le3a0 4olom a0ah 5 #+#

    Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 a 6 #-#

    Te3al %ile1a%5 h 6 #$#

    Te3al .anah di a.as %ile1a%5 ; 6 #*#

    Be0a. ol&me .anah di a.as %ile1a%5 ",##

    Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #) -#

    :1= 6

    K&a. leleh 3a7a .&lan'an deform( " mm )5 : 6

    K&a. leleh 3a7a .&lan'an %olos ( " mm )5 : 6

    >1 6

    36

    36

    >s6

    s6

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    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 S&s&nan .ian' %an1an' a0ah 2

    No J&mlah No J&mlah

    n (m) n (m)

    " "## ## " "## ##

    ### ### ### ###

    "## ## "## ##

    n 6 * +## n 6 * +##

    Le3a0 %ile1a% a0ah 5 ,#

    Le3a0 %ile1a% a0ah 5 ,#

    1. GA+A AKSIAL PADA TIANG PANCANG

    Be0a. .anah di a.as %ile1a%5 "/#"

    Be0a. %ile1a%5 *-#,

    To.al 'aa a4sial .e0:a4.o05 "/+$"

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 "##

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 "##Len'an minim&m .ian' %an1an' a0ah .hd %&sa.5 "##

    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

    P&46

    M&

    6

    M&6H&6

    H&

    6

    ? Pn6

    ? Hn6

    n ? n ?

    (m) (m)

    6 6L6

    L6

    @s6 L ? L ? ; ? >s6

    @16 L ? L ? h ? >16

    P&6 P&4 " ? @s " ? @16

    ma6

    ma

    6

    min6

    min6

    %&ma 6 P& < n M&? ma < M&? ma <

    6

    %&min 6 P& < n M&? min < M&? min <

    6

    %&ma ? Pn

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    Gaa la.e0al a0ah %ada .ian'5 "++/

    Gaa la.e0al a0ah %ada .ian'5 "---

    Gaa la.e0al 4om3inasi d&a a0ah5 #$

    Sa0a. 2 #$ "### BAHA+A (NG)

    . TINAUAN GESER ARAH

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #*##Be0a. 3e.on5 #-#

    Be0a. .anah5 -#,-

    Gaa 'ese0 a0ah 5 /$/"

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ,##

    Te3al e:e4.i: %ile1a%5 d 6 -##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    $#-*+

    "**,

    h& 6 H& < n 6

    h& 6 H& < n 6

    h&ma

    6 ( h&

    h&

    ) 6

    h&ma ? Hn

    1

    6 ( L

    3

    d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    &6 ? %&ma @" @6

    3 6 L6

    16 3< 36

    K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

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    "++*$*/

    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

    "$"*, /$/" AMAN (OK)

    *. TINAUAN GESER ARAH +

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #*##

    Be0a. 3e.on5 #-#

    Be0a. .anah5 -#,-

    Gaa 'ese0 a0ah 5 /$/"

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ,##

    Te3al e:e4.i: %ile1a%5 d 6 -##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    16 " < ? :1= ? 3 ? d ? "#616

    6

    16

    1 &

    16 ( L 3 d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    &6 ? %&ma @" @6

    3 6 L6

    16 3< 36K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

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    $#-*+

    "**,

    "++*$*/

    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

    "$"*, /$/" AMAN (OK)

    -. TINAUAN GESER DUA ARAH (PONS)

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Le3a0 3idan' 'ese0 %ons a0ah 5 "###

    Le3a0 3idan' 'ese0 %ons a0ah 5 "###

    Gaa 'ese0 %ons a4i3a. 3e3an .e0:a4.o0 %ada 4olom5 "$#####

    L&as 3idan' 'ese0 %ons5 "+##

    Le3a0 3idan' 'ese0 %ons5 -###

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    +

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#6

    16

    6 16

    1 &

    B6 3 d 6

    B6 3 d 6

    P&46

    A%6 ? ( B B) ? d 6

    3%6 ? ( B B) 6

    16 3< 36

    Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i :% an' di%e0oleh da0i %e0ss33 2:%6 C " < 1 ? :1= < + 6

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    +

    "-*"

    Te'an'an 'ese0 %ons an' disa0a.4an5 "-*"

    8a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 #/$

    K&a. 'ese0 %ons5 "/,,,$Sa0a. 2

    "/,,,$- "$##### AMAN (OK)

    . PEMBESIAN PILECAP

    .1. 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

    $,+-

    Le3a0 %ile1a% an' di.in7a&5 ,##

    Te3al %ile1a%5 h 6 $##

    :%6 C s? d < 3% ? :1= < " 6:%6 " < ? :1= 6

    :%6

    6

    ? n%6? A%? :%? "#

    6? n% P&4

    16 ( L 3) < 6

    e6 1 a 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    M&6 ? %&ma? e @"? 1< @? 1< 6

    3 6 L6

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    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 -##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    ++#/*

    "-/-*,

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###-#

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###-#

    L&as .&lan'an an' di%e0l&4an5 --/$

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 "/

    Ja0a4 .&lan'an ma4sim&m5 ##Ja0a4 .&lan'an an' di'&na4an5 s 6 "/

    Di'&na4an .&lan'an5 D "+ 3 "#

    L&as .&lan'an .e0%a4ai5 -+*"-$

    .2. TULANGAN LENTUR ARAH +

    :1= 6

    :6

    Es6"6

    36

    "? #,$ ? :

    1< :

    ? +## < ( +## :

    ) 6

    6R

    ma6 #/$ ?

    3? :

    ? C"?#/$?

    3? :

    < ( #,$ ? :

    1 ) 6

    Mn6 M

    &< 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn

    Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

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    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

    $,+-

    Le3a0 %ile1a% an' di.in7a&5 ,##

    Te3al %ile1a%5 h 6 $##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 -##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**++#/*

    "-/-*,

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###-#

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5

    ###-#L&as .&lan'an an' di%e0l&4an5 --/$

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 "/

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 "/

    Di'&na4an .&lan'an5 D "+ 3 "#

    L&as .&lan'an .e0%a4ai5 -+*"-$

    . TULANGAN SUSUT

    16 ( L

    3

    ) < 6

    e6 1 a 6@"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    M&

    6 ? %&ma

    ? e @

    "? 1

    < @

    ? 1

    < 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6

    Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

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    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 "Ja0a4 .&lan'an s&s&. a0ah 5 #

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    Ja0a4 .&lan'an s&s&. a0ah an' di'&na4an5 ##

    Ja0a4 .&lan'an s&s&. a0ah 5 #

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    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 ##

    PERHITUNGAN KEKUATAN ,ONDASI

    KODE 8ONDASI 2 ,

    DATA BAHAN PILECAP

    K&a. .e4an 3e.on5 #

    *#

    -#

    Be0a. 3e.on 3e0.&lan'5 -

    DATA DIMENSI ,ONDASI

    Le3a0 4olom a0ah 5 #$$

    Le3a0 4olom a0ah 5 #$$Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 a 6 #-#

    Te3al %ile1a%5 h 6 #$#

    Te3al .anah di a.as %ile1a%5 ; 6 #*#

    Be0a. ol&me .anah di a.as %ile1a%5 ",##

    Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #) -#

    smin6

    As6 smin? 3 ? d 6 A

    s6

    smin? 3 ? d 6

    s6 < - ? ? 3 < As6

    s5ma

    6

    s6

    s6 < - ? ? 3 < A

    s6

    s5ma

    6

    s6

    :1= 6

    K&a. leleh 3a7a .&lan'an deform( " mm )5 : 6

    K&a. leleh 3a7a .&lan'an %olos ( " mm )5 : 6

    >1 6

    36

    36

    >s6

    s6

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    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 S&s&nan .ian' %an1an' a0ah 2

    No J&mlah No J&mlah n (m) n (m)

    " "## ## " #$# #/$

    ### ### #$# #/$

    "## ##

    n 6 + -## n 6 + "$#

    Le3a0 %ile1a% a0ah 5 ,#

    Le3a0 %ile1a% a0ah 5 ",#

    1. GA+A AKSIAL PADA TIANG PANCANG

    Be0a. .anah di a.as %ile1a%5 ,"+$

    Be0a. %ile1a%5 +#-,

    To.al 'aa a4sial .e0:a4.o05 ""#$$

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 "##

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #$#

    Len'an minim&m .ian' %an1an' a0ah .hd %&sa.5 "##

    P&46

    M&

    6

    M&6H&6

    H&6

    ? Pn6

    ? Hn6

    n ? n ? (m) (m)

    6 6L6

    L

    6

    @s6 L ? L ? ; ? >s6

    @16 L ? L ? h ? >16

    P&6 P&4 " ? @s " ? @16

    ma6

    ma6min6

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    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 -

    Sa0a. 2

    - "### BAHA+A (NG)

    . TINAUAN GESER ARAH

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #*$

    Be0a. 3e.on5 "**,#

    min6

    %&ma 6 P& < n M&? ma < M&? ma <

    6

    %&min

    6 P&< n M

    &?

    min< M

    &?

    min< 6

    %&ma ? Pn

    h&

    6 H&

    < n 6

    h& 6 H& < n 6

    h&ma

    6 ( h&

    h&

    ) 6

    h&ma ? Hn

    16 ( L 3 d ) < 6@"6 1 ? L ? h ? >16

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    Be0a. .anah5 +*/

    Gaa 'ese0 a0ah 5 $--,*,

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ",##

    Te3al e:e4.i: %ile1a%5 d 6 -##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    "+#**+*

    *"/*$

    "#/"

    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

    ,#-*,- $--,*, AMAN (OK)

    *. TINAUAN GESER ARAH +

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    @6 1 ? L ? ; ? >s6

    &6 ? %&ma @" @6

    3 6 L6

    16 3< 36K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " <

    1 ? :

    1= ? 3 ? d < + ? "#6

    16 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :

    1= ? 3 ? d ? "#6

    16

    6

    16

    1 &

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    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #-$

    Be0a. 3e.on5 "-,#

    Be0a. .anah5 "*/,

    Gaa 'ese0 a0ah 5 ,$-"*

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ,##Te3al e:e4.i: %ile1a%5 d 6 -##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    $#-*+

    "**,

    "++*$*/

    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

    "$"*, ,$-"* AMAN (OK)

    -. TINAUAN GESER DUA ARAH (PONS)

    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    16 ( L 3 d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    &

    6 ? %&ma

    @" @

    6

    3 6 L6

    16 3

    < 3

    6

    K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " <

    1 ? :

    1= ? 3 ? d < + ? "#6

    16 C

    s? d < 3 ? :

    1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#6

    16

    6 16

    1 &

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    Le3a0 3idan' 'ese0 %ons a0ah 5 #*$#

    Le3a0 3idan' 'ese0 %ons a0ah 5 #*$#

    Gaa 'ese0 %ons a4i3a. 3e3an .e0:a4.o0 %ada 4olom5 *$####

    L&as 3idan' 'ese0 %ons5 "$#

    Le3a0 3idan' 'ese0 %ons5 ,##Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    +

    "$

    "-*"

    Te'an'an 'ese0 %ons an' disa0a.4an5 "-*"

    8a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 #/$

    K&a. 'ese0 %ons5 "+**-"

    Sa0a. 2

    "+**-" *$#### AMAN (OK)

    . PEMBESIAN PILECAP

    .1. TULANGAN LENTUR ARAH

    B6 3 d 6

    B6 3 d 6

    P&46

    A%6 ? ( B

    B

    ) ? d 6

    3%6 ? ( B B) 616 3< 36

    Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i :% an' di%e0oleh da0i %e0ss33 2

    :%6 C " < 1 ? :1= < + 6:%6 C

    s? d < 3

    % ? :

    1= < " 6

    :%6 " < ? :

    1= 6

    :%6

    6 ? n%6? A%? :%? "#6

    ? n% P&4

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    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*+*/"

    Le3a0 %ile1a% an' di.in7a&5 ",##

    Te3al %ile1a%5 h 6 $##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 -##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    -*+"

    "/*+

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###-/

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###-/

    L&as .&lan'an an' di%e0l&4an5 +#,#

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 "#,Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 "#,

    Di'&na4an .&lan'an5 D "+ 3 "##

    L&as .&lan'an .e0%a4ai5 +"*""

    .2. TULANGAN LENTUR ARAH +

    16 ( L 3) < 6

    e6 1 a 6

    @"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    M&6 ? %&ma? e @"? 1< @? 1< 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

    Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As

    6

    sma6

    As6 < - ? D? 3 < s 6

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    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

    ",-,

    Le3a0 %ile1a% an' di.in7a&5 ,##

    Te3al %ile1a%5 h 6 $##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##Te3al e:e4.i: %la.5 d 6 h d= 6 -##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#$**

    #-"#

    #$"-"

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ###"

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5

    ###$

    L&as .&lan'an an' di%e0l&4an5 ,####

    16 ( L

    3

    ) < 6

    e6 1 a 6@"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    M&6 ? %&ma? e @"? 1< @? 1< 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

    Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

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    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 #"

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##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 "

    Ja0a4 .&lan'an s&s&. a0ah 5 #

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    Ja0a4 .&lan'an s&s&. a0ah an' di'&na4an5 ##

    Ja0a4 .&lan'an s&s&. a0ah 5 #

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    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 ##

    PERHITUNGAN KEKUATAN ,ONDASI

    KODE 8ONDASI 2 ,-

    DATA BAHAN PILECAP

    K&a. .e4an 3e.on5 #

    *#

    -#

    Be0a. 3e.on 3e0.&lan'5 -

    DATA DIMENSI ,ONDASI

    Le3a0 4olom a0ah 5 #+#Le3a0 4olom a0ah 5 #+#

    Ja0a4 .ian' %an1an' .e%i .e0hada% sisi l&a0 3e.on5 a 6 #-#

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

    smin

    6

    As6 smin? 3 ? d 6

    As

    6 smin

    ? 3 ? d 6

    s6 < - ? ? 3 < As6

    s5ma6

    s6

    s6 < - ? ? 3 < As6

    s5ma6

    s6

    :1= 6

    K&a. leleh 3a7a .&lan'an deform( " mm )5 : 6

    K&a. leleh 3a7a .&lan'an %olos ( " mm )5 : 6

    >1 6

    3

    6

    36

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    Te3al %ile1a%5 h 6 #$#

    Te3al .anah di a.as %ile1a%5 ; 6 #*#

    Be0a. ol&me .anah di a.as %ile1a%5 ",##

    Posisi 4olom (dalam 6 -#5 .e%i 6 #5 s&d&. 6 #) -#

    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 S&s&nan .ian' %an1an' a0ah 2No J&mlah No J&mlah

    n (m) n (m)

    " #/# #*, " #/# #*,

    " ### ### " ### ###

    #/# #*, #/# #*,

    n 6 $ "*+ n 6 $ "*+

    Le3a0 %ile1a% a0ah 5 #

    Le3a0 %ile1a% a0ah 5 #

    >s6

    s6

    P&46

    M&6M&6

    H&6

    H&6

    ? Pn6

    ? Hn6

    n ? n ?

    (m) (m)

    6 6L6

    L6

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    1. GA+A AKSIAL PADA TIANG PANCANG

    Be0a. .anah di a.as %ile1a%5 /,-"

    Be0a. %ile1a%5 $,#,

    To.al 'aa a4sial .e0:a4.o05 ,+/*Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #/#

    Len'an ma4sim&m .ian' %an1an' a0ah .hd %&sa.5 #/#

    Len'an minim&m .ian' %an1an' a0ah .hd %&sa.5 #/#

    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 -/+Sa0a. 2

    -/+ "### BAHA+A (NG)

    . TINAUAN GESER ARAH

    @s6 L ? L ? ; ? >s6

    @16 L

    ? L

    ? h ? >

    16

    P&6 P&4 " ? @s " ? @16ma6

    ma

    6

    min6

    min

    6

    %&ma 6 P& < n M&? ma < M&? ma <

    6

    %&min

    6 P&< n M

    &?

    min< M

    &?

    min< 6

    %&ma ? Pn

    h& 6 H& < n 6

    h& 6 H& < n 6

    h&ma6 ( h&

    h&

    ) 6h&ma ? Hn

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    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #+##

    Be0a. 3e.on5 "$,-#

    Be0a. .anah5 ",-

    Gaa 'ese0 a0ah 5 $--##$

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ##

    Te3al e:e4.i: %ile1a%5 d 6 -##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    "*+//-#

    #-"#$

    """,/

    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

    *,,/# $--##$ AMAN (OK)

    *. TINAUAN GESER ARAH +

    16 ( L

    3

    d ) < 6

    @"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    &

    6 ? %&ma

    @" @

    6

    3 6 L6

    16 3< 36K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i

    1an' di%e0oleh da0i %e0ss33 2

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#616

    6

    16

    1 &

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    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Ja0a4 3id 40i.is .e0hada% sisi l&a05 #+##

    Be0a. 3e.on5 "$,-#

    Be0a. .anah5 ",-

    Gaa 'ese0 a0ah 5 $--##$

    Le3a0 3idan' 'ese0 &n.&4 .in7a&an a0ah 5 ##

    Te3al e:e4.i: %ile1a%5 d 6 -##

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    "*+//-#

    #-"#$

    """,/

    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

    *,,/# $--##$ AMAN (OK)

    -. TINAUAN GESER DUA ARAH (PONS)

    16 ( L

    3

    d ) < 6

    @"6 1

    ? L

    ? h ? >

    16

    @6 1 ? L ? ; ? >s6

    &

    6 ? %&ma

    @" @

    6

    3 6 L6

    16 3< 36

    K&a. 'ese0 %ile1a% a0ah 5 diam3il nilai .e04e1il da0i 1an' di%e0oleh da0i %e0ss33 2

    16 C " < 1 ? :1= ? 3 ? d < + ? "#616 C s? d < 3 ? :1= ? 3 ? d < " ? "#6

    16 " < ? :1= ? 3 ? d ? "#6

    16 6

    16

    1 &

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    Ja0a4 %&sa. .&lan'an .e0hada% sisi l&a0 3e.on5 d= 6 #"##

    Te3al e:e4.i: %ile1a%5 d 6 h d= 6 #-##

    Le3a0 3idan' 'ese0 %ons a0ah 5 "###

    Le3a0 3idan' 'ese0 %ons a0ah 5 "###

    Gaa 'ese0 %ons a4i3a. 3e3an .e0:a4.o0 %ada 4olom5 /#####

    L&as 3idan' 'ese0 %ons5 "+##

    Le3a0 3idan' 'ese0 %ons5 -###

    Rasio sisi %an7an' .hd sisi %ende4 4olom5 "####

    +

    +

    "-*"

    Te'an'an 'ese0 %ons an' disa0a.4an5 "-*"

    8a4.o0 0ed&4si 4e4&a.an 'ese0 %ons5 #/$K&a. 'ese0 %ons5 "/,,,$

    Sa0a. 2

    "/,,,$- /##### AMAN (OK)

    . PEMBESIAN PILECAP

    .1. TULANGAN LENTUR ARAH

    B6 3

    d 6

    B6 3

    d 6

    P&46

    A%6 ? ( B

    B

    ) ? d 6

    3%6 ? ( B B) 6

    16 3< 36

    Te'an'an 'ese0 %ons5 diam3il nilai .e04e1il da0i :% an' di%e0oleh da0i %e0ss33 2

    :%6 C " < 1 ? :1= < + 6:%6 C s? d < 3% ? :1= < " 6

    :%6 " < ? :1= 6:%6

    6 ? n%6? A%? :%? "#

    6

    ? n% P&4

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    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

    "+*

    Le3a0 %ile1a% an' di.in7a&5 ##

    Te3al %ile1a%5 h 6 $##

    Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 -##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    +$/*,

    #/$$"" (OK)Rasio .&lan'an an' di%e0l&4an5

    ####

    Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###$

    L&as .&lan'an an' di%e0l&4an5 ####

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 #"

    Ja0a4 .&lan'an ma4sim&m5 ##

    16 ( L

    3

    ) < 6

    e6 1

    a 6

    @"6 1 ? L ? h ? >16

    @6 1

    ? L

    ? ; ? >

    s6

    M&6 ? %&ma? e @"? 1< @? 1< 6

    3 6 L6

    :1= 6

    :6Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

    Mn6 M& < 6

    Rn

    6 Mn

    ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6

    min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6sma6

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    Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##

    L&as .&lan'an .e0%a4ai5 ""+,

    .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

    "+*

    Le3a0 %ile1a% an' di.in7a&5 ##

    Te3al %ile1a%5 h 6 $##Ja0a4 %&sa. .&lan'an .hd sisi l&a0 3e.on5 d= 6 "##

    Te3al e:e4.i: %la.5 d 6 h d= 6 -##

    K&a. .e4an 3e.on5 #

    K&a. leleh 3a7a .&lan'an5 *#

    Mod&l&s elas.is 3a7a5 ##E#$

    8a4.o0 dis.0i3&si .e' 3e.on5 #,$

    ##-$$

    8a4.o0 0ed&4si 4e4&a.an len.&05 #,#

    $**

    As6 < - ? D? 3 < s 6

    16 ( L 3) < 6e6 1 a 6

    @"6 1 ? L ? h ? >16

    @6 1 ? L ? ; ? >s6

    M&6 ? %&ma? e @"? 1< @? 1< 6

    3 6 L6

    :1= 6

    :6

    Es6

    "6

    36 "? #,$ ? :1< :? +## < ( +## :) 6

    6Rma6 #/$ ? 3 ? :? C"?#/$? 3 ? :< ( #,$ ? :1 ) 6

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    +$/*,

    #/$$""

    (OK)Rasio .&lan'an an' di%e0l&4an5

    ####Rasio .&lan'an minim&m5 ###$

    Rasio .&lan'an an' di'&na4an5 ###$

    L&as .&lan'an an' di%e0l&4an5 ####

    Diame.e0 .&lan'an an' di'&na4an5 D "+

    Ja0a4 .&lan'an an' di%e0l&4an5 #"

    Ja0a4 .&lan'an ma4sim&m5 ##

    Ja0a4 .&lan'an an' di'&na4an5 s 6 ##

    Di'&na4an .&lan'an5 D "+ 3 ##

    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 "

    Ja0a4 .&lan'an s&s&. a0ah 5 #

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    Ja0a4 .&lan'an s&s&. a0ah an' di'&na4an5 ##

    Ja0a4 .&lan'an s&s&. a0ah 5 #

    Ja0a4 .&lan'an s&s&. ma4sim&m a0ah 5 ##

    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 ##

    Mn6 M& < 6

    Rn6 Mn ? "#+< ( 3 ? d ) 6

    Rn Rma

    6 #,$ ? :1 < : ?C " " Q ? Rn< ( #,$ ? :1 ) 6min6

    6As6 ? 3 ? d 6

    s 6 < - ? D? 3 < As6

    sma6

    As6 < - ? D? 3 < s 6

    smin6

    As6 smin? 3 ? d 6

    As6 smin? 3 ? d 6

    s6 < - ? ? 3 < As6

    s5ma6

    s6

    s6 < - ? ? 3 < As6

    s5ma6

    s

    6

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    SPT

    Nilai SPT

    N

    $

    "

    /

    $-

    m

    m

    MPa

    4N

    4Pa

    4N

    4N

    4N

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    m

    4N

    a0i

    m

    4N

    4N

    m

    4N

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    4N

    di

    m

    4N

    4N

    4N

    m

    4N

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    (4N)

    (4N)

    ah

    mm

    4N

    4N

    4N

    4N

    m

    m

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    4N

    4N

    m

    m

    m

    m

    m

    4N

    4N

    4Nm

    4N

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    4N

    m

    4Nm

    (OK)

    4N

    4N

    4N

    4N

    4N

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    MPa

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    4N

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    4N

    4N

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    mm

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    mm

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    4N

    mm

    mm

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    4N

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    4N

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    4N

    4N

    4N

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    4N

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    4N

    m

    m

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    4N

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    mm

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    4N

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    m

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    4N

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    4N

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    4Nm4Nm

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    4N

    4N

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    4N

    4N

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    4N

    4N

    4N

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    4N

    4N

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    4N

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    4N

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    4Nm

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