No. 1
2 %
7
5
H
' !
1
8 11
3
6
(
1&
$
Diketahui Rangka Kap, dengan ukuran/parameter sbb: = =
Kemiringan atap
=
)inggi Rangka
=
3.! m 13 m %.3&&'!( 3.!
o
Diminta : $esarn+a ga+a*ga+a batang Dimensi batang atas, baah dan tegak/diagonaambungan baut pada dua0 titik kumpuketsa dari rangka kap, termasuk detai- dua0 titik kumpu-
* * * * Digunakan :
$a#a ) d
=
3' 1(&&
Kg/m
13
13
4
D
L=
Jarak Rangka Kap "an#ang $entangan
1
m
H
STRUKTUR BAJA II
"R92DR K2RJ6 1. Menghitung Panjang Batang 2. Menghitung Beban - Beban yang bekerja : a. Beban Atap b. Beban Angin c. Beban Tak Terduga d. Beban Gording 3. Mengontro Pro!i Gording ". Perhitungan #uda - #uda $. Menghitung Gaya - Gaya Batang Tota %. Mendi&ain 'imen&i Batang : a. Batang Ata& b. Batang Ba(ah c. Batang 'iagona ). Mendi&ain Pat #oppe *. Mengontro Tegangan Tegangan Pat #oppe +. Mendi&ain ,ambungan Baut 1. Mengontro ,ambungan Baut 11. Mendi&ain ,ambungan a& 12. Mengontro ,ambungan a& 13. Mendi&ain #oom /angka #ap dan #ontro 1". Membuat Gambar #erja.
HERNAWATY / D 111 98 080
1. ;2N4H<)N4 "6NJ6N4 $6)6N4 2
5
m ! . 3
6
H $ 3.!&& m
D 3.!&& m
3.!&& m 13
6$
= $D = D4 = 4H =
D2
=
)an
3.! =
4
m
13.&& 7
=
3.!&& m
m
2D = 6D
3.! (.!
$
= 54 = /
62
= 6D D2 =
62
= 2H =
= &. &.!3%7(1!
7.!&&
6D D2 01/
3.!
=
1&.!(
=
1.!
5H =
6$ $ 01/
=
2
=
25 =
62
=
'.3%
D = D5 = $D $ = = D5 = $D $ 01/
=
=
3.&(
=
6
1.'!
=
13.(3 -
13 1 3.(!&
m
=
13.(3
'.3%7
m
m
01/
=
3.(81
m
3.(8
=
3.(81
m
3.&(! =
m
!7.!& 01/
!7.!&
6
-
%.3&&'(
=
. D2 0 1/ .
6 = 6$ $ =
D
3.!&& m
13.(!&
01/
=
m
3.(81
R2K6"<)L6< "6NJ6N4 $6)6N4
$6)6N4
"6NJ6N4 m 0
AB 0 B' 0 'G 0G ' 0 B4 0 5G
3.2$ 3.$ 1.)$
A4 0 5
3.%+12
4 0 5 4' 0 '5
3.%+12 3.%+12
"2RH<)N46N D) ,in 1
6
2*.3*
o
0
.")"1
4o& 2*.3*
o
0
.**$
2*.3*
o
0
.$3*$
Tan 7
in
o
3$
=
Panjang $ Panjang D
=
1.)$ 3.%+12
3$o 1
3
!
= $ os
=
)an
=
D
(
Panjang $D Panjang D Panjang $ Panjang $D
=
=
3.2$ 3.%+12 1.)$ 3.2$
=
.**$
=
.$3*$
.")"1
m
= H
. ;2N4H<)N4 $2$6N * $2$6N
a. $eban 6tap
? ?@
?+
2*.3*
6arak Antar Gording 7a8 0 6arak #ap 7b8 0 0 Berat Atap Genteng 7G8 6adi : ; 0 a ;< 0 ;. ,in 2*.3* o ;y 0 ;.4o& 2*.3* o > M< 0 19* ;y b2 My 0 19* ;< b2
A49" 3.! !&
$ 0 0 0 0
0 &.8% m m #g9m2 7&e&uai PM 1+)8
0 7(.17&1 #g9m gm 1.%'!& 7&.(!& #g9m !3.(3'' #g.m %.%%1% #g.m
b. $eban 6ngin "
"
"
#g9m2 0 ! 0 ?2a - ?" 0 &.1((&
Tekanan Angin 7P8 #oe!i&ien Angin 7c 18
" "
c2
0
*&.7 7beakang angin untuk &emua a8 0 c1 < a < P 0 .1%% < .+22* < 2$
=
0 >
M< My
0 19* = b2 0 &
7&e&uai PM 1+)8
0
3.%3&&
#g9m
!.&!(% #g.m
. $eban )ak )erduga
" "@ "+
P 0 1&& #g > P< 0 P.,in a Py 0 P.4o& a > M< 0 19" Py b My 0 19" P< b
0 0 0 0
7'.71&& %%.&7'1 '1.!3%3 3%.!&(
#g #g #g.m #g.m
d. $eban 4ording 'iketahui berat gording daam perbandingan norma 7>8 0 1 #g9m - $ #g9m 'irencanakan berat berat gording 7>8 0
A
2 >
A@ A+
>
>< >y M< My
kg9m 0 0 0 0
>.,in a >.4o& a 19* >y b2 19* >< b2
0 0 0 0
8.7% 1'.(&8 3.!& 1.!18
#g9m #g9m #g.m #g.m
Kombinasi "embebanan : Keadaan 1
Keadaan
: Beban Atap Beban Gording Beban Angin M< 0 $3.%3* 23.2$ $.$) 0 My 0 2*.**2 12.$1+ 0
%1.877 71.7&1
#g.m #g.m
: Beban Atap Beban Gording Beban Tak Terduga M< 0 $3.%3* 23.2$ )1.$3* 0 17%.7!81 #g.m My 0 2*.**2 12.$1+ 3*.$21 0 '8.81(7! #g.m
6mbi- ;aksima-n+a : M< 0 17%.7( #g.m My 0 '8.8 #g.m
3. ;2N49N)R9L "R95
M< <
My y @ s
'imana
s s 0
eeh
1.$ 2" 0 s 0 1.$ =y diambi 0 19* =< M< My @ s =< 719*8= Mi&akan :
maka :
M< * My =<
M< * My =<
=< peru 0
M<
#g9cm2
1%
@ s
0 s
* My s
0
1"*."3
7*8. 1%
)+.+22
< 1 0 "+.23)"" 4m3
=< peru 0 "+.23) 4m3 'iambi Pro!i kana
4 1" 3
=<
0 %.) cm
=y
0 11.1 cm3 0 %$ cm" 0 %2.) cm" 0 1% #g9m
< y >
M< My @ s =< =y 1"*."3 )+.+22 7 8 %.) 11.1
dengan data &bb: t( 0 .) 4m
#ontro :
. 1 @
+%".$"
@
s
1%
kay CC
ketsa proBi- : +
h @
7 Dntuk Bj A3%8
+
@
+ b
;engontro- Lendutan : ! ma<
!<
!y
0 ,1.1&( 7 Baja 8
0 192 < b 0
1.(! cm
0
$ 3*"
0
;<.b" y
0
.2"1
0
&.378
cm
0 0 0
$ 3*"
;y.b" <
."% &.&'&
b 0
cm
1 "*
P<.b3 y
.3
1 *
Py.b3 <
.3
$ 3*"
3 m 32$
><.b" y
.1$
$ 3*"
>y.b" <
.2
Ambi Mak&imanya 0 &.378 cm !< 0 &.378 cm @ 1.(! cm
"roBi- Dapat Digunakan
cm
7. "2RH<)N46N KD6 * KD6 a. $eban ;ati 1. $erat Kuda * kuda /umu& Penak&iran : 0 Panjang Bentang P 0 7 2 8 .b &9d 7 $ 8 .b maka diambi #arena 0 13. m P 0 7 3 8 .b 0 7 13. < 3 8 13 3.2$ 0 %)%. #g ,ehingga untuk beban di titik buhu diambi Pr 0 P 9 n1 dimana n 0 6umah titik buhu 0 $ P %)%. Pr 0 0 0 1(8.&& #g n-1 " ,edang pada titik ujung menerima beban : P 0 192Pr 0 #g %7.!&& . $erat 6tap G 0 Berat atap genteng 0 $ P 0 G < 2a < b 0 $ < 1.*"% < 3.2$ 0 88.81&! #g Diambi- #arak 9Certek d = &.% m 6adi beban atap pada bentang ter&ebut adaah < 0 G < d < b 0 $ < .* < 3.2$ 0 #g 13& ,ehingga beban tota di titik A 0 0 192 berat atap A4 192 berat atap Eer&tek P 0 ½ 88.81&! ½ 13 0 1"+.+$$2 %$ 0 17.8!! #g 3. $erat 4ording > 0 Berat gording &endiri P 0 > < b 0 1% < 3.2$ 0 #g !
Dntuk titik A? 0 1?$P Dntuk titik 4 dan 5 0 2P Dntuk titik 0 3P
R2K6"<)L6< $2$6N K9N)RK< : Titik Buhu A? 4 dan 5 Beban #uda-kuda *".$ 1%+. Beban Atap 21".+$$2 2++.+1$ Beban Gording )*. 1". TTA 3))."$$2 $)2.+1$
0 1.$ 0 2 0 3
1%+. 2++.+1$ 1$%. %2".+1$
< < <
$2 0 $2 0 $2 0
'% 1&7 1!(
#g #g #g
b. $eban 6ngin Tekanan Angin7P80 2$ #g9m2 1. #oe!i&ien tekanan angin 7c 18 ,ehingga beban angin tekan
Pada titik
0 ?2a - ?" 0 .2 P < c < b < 2a 0 1 0 FF < .1) < 3.2$ 0 7.%87% #g
2*
a 0
< 1.*"%
0 192 < 2".*+"* 0 1.77'7 #g
Pada Eer,tek beban angin tekan
0 P < c1 < b < d 0 2$ < .1) < 0 #g 11
3.2$
<
.*
,ehingga beban angin di titik A 0 192 beban angin tekan bentang AB 192 beban Eer,tek 0 ½ 2".*+"* ½ 11 0 12."") $ #g 0 1'.%78 2. #oe!i&ien angin hi&ap 7 c 2 8 ,ehingga beban angin hi&ap
Pada titik
0 -." 0 P < c2 < b < 2a 0 FF < -." < 3.2$ 0 *!8.8%1 #g
0 192 < 7 -$+.+*21 0 *8.881& #g
< 1.*"%
8
Pada Eerapping beban angin hi&ap 0 P < c 2 < b < d 0 2$ < -." < 0 *( #g
3.2$
<
.*
,ehingga beban angin pada titik 0 192 beban angin hi&ap bentang 5 192 beban ,tek 0 ½ -$+.+*21 ½ 7 -2% 8 0 -2+.++1$ 7 -13 8 0 *7.88 #g . $eban )ak )erduga Beban pada tiap titik buhu adaah P 0 1&& #g sesuai ";< 0
!. ;2N4H<)N4 466 * 466 $6)6N4 "3
a. 6kibat $eban * $eban ;ati "
2
" *
"
5
"1
)
$
1
"1
+
12
3
H
11
a
6 2
E6
3.!&
P1 0 P2 0 P3 0
3''.7!! !'.81&! (7.81&!
m
3.!
#g
,in
#g
4o&
#g
tan
2P1 2P2 P3
E6 = EH =
%
$
0
2
1
D m
3.!
m
o
0
.")"1
2*.3*
o
0
.**$
2*.3*
o
0
.$3*$
11"$.*21
%2".+1
EH m
3.!
2*.3*
)$".+1$
13
4
2
0
1(.%1
#g
)<)
1 "1
6
.")"1 ,1
0
-**$.3%$)
,1
0
*1%('.7((%
=
&
H
kg 7Tekan8
,2 0 - ,1 4o& a ,2
E6
0 - 7 ,1 4o& a ) 0 7 -1*%)."%%* 0
1(77.!&(
kg
<
.**$
8
7Tarik8
)<)
3 (
0
E
& 1(77.!1
& = ,11 0
kg 7Tarik8
= ,3
$
=
& #g
)<)
" 7
= & ," ,in a - ,$ ,in b 0 P2 ,3 ,1 ,in a .")"1 ," -
H
3
!
0
-312.$
.718
= & ," 4o& a ,$ 4o& b 0 ,1 4o& a .**$
1
.")"1 ,$
"
.**$
$
0
-1%"".2$% .728
imina&i per&amaan 718 dengan 728 : .")"1 ," - .")"1 ,$ 0 -312.$ .**$ ," .**$ ,$ 0 -1%"".2$%
.**$ ."1)" ,"
."1)" ,$ 0
-2)$.1)*
.")"1 ."1)" ," ."1)" ,$ 0 .*3$ ," 0 ," 0
-))+.$3*+
-
,ubtitu&i ke per&amaan 728 akan diperoeh .**$ ," .**$ ,$ 0 -1%"".2$% .**$ . -12%3.2$*2 .**$ ,$ 0 *(&7.&%' #g 7Tekan8
-1$".%"%) *1(3.!% #g 7Tekan8
,$ 0
-1%"".2$%
)<)
H
2
= & ,* 4o& a = ," 4o& a ,*
= ,"
,*
=
E %
7
,)
*1(3.!%
#g 7Tekan8
=
&
= =
* 7 P3 ," ,in a ,* ,in a 8 !'.81&! #g 7Tarik8
=
- 7 ,) ,$ ,in b 8
' )<)
'
8
E = & ,+ ,in b .")"1
,+
=
-2*%.$
,+
=
*(&7.&%'
1&
( D H
= & ,1 = ,% ,$ 4o& b - ,+ 4o& b ,1
=
1(77.!&(
#g 7Tarik8
#g 7Tekan8
b. 6kibat $eban 6ngin
"7
"3 1. 6ngin Kiri
2
"
"! *
"
5
"1
)
$
1
+
12
3
6
"(
11
H o
3$ H6
2
1
D
13
4
EH
m
3.!& a 0
%
$
E6
m
3.!
m
3.!
3.!
m
% o
4o& a 0
&.%%&!
,in a 0
&.7'71
P1 0 1'.%78 #g P2 0 7.%87% #g P3 0 1.77'7 #g
P"
0
8.881& #g
P$
0
!8.8%1
#g
P%
0
7.881&
#g
;H = & 13. E6
13 P2 < +.)$ 7P3 - P"8 < %.$ 4o& a - J 7 P2 P$ 8 < 1.)$ 7 P3 P" 8 <
= 13
- P$ <
= J P1 <
J 231.+$)* 2"2.)2"% 7 - J *".*)) < 1.)$
E6
=
$.$+*
E6
=
&.3%8
-1).$""
3.2$ I <
3.$ I < ,in a
1+".+"1* I < .**$ 8 < ) < 3.$ I< .")"1
"2.""
#g
;6 = & 13 EH = J P2 <
13 EH = EH = H = & H6 =
)
J 7 P2 P$ 8 <
4o& a =
7 P3 - P" 8 <
3
1.)$
J *.+*22
7 -1).$"" 8 <
.**$ -*+$.32*2
J
7 *".*)) 8 <
*(%.%'17
#g
7
P1
P2
=
1**.1"+3
<
H6 =
%8.&1(
#g
P3
- P$ <
-
7 P3 P" 8 <
) 1.)$
P"
1
$*".*2$"1
7
P$
P% < 3.$
13
I < ,in a
-
$$*.**"
I <
"2."3*$
8 <
3.$
P%
8 < ,in a
.")"1
Kontro E = & H A H 7 P" P$ P% 8 < 4o& a .3*+
7 -%*.*)1 8
0 7 P1 P2 P3 8 < 4o& a
7 132.+%"2 8 < .** 0 "*.$**+"$2+ 0
< $$.1*$ "*.$**+"
I <
.** kayC
1.)$ I <
.")"1
)<)
1
,1 ,in a
0 P1 4o& a - H A
,1 0 1$.)11)
.")"1
0
6
H6
.3*+
1$.32+
,1 0
-
3.31!8
#g 7Tarik8
H = & E6
,2 0
A
0
-
7 ,1 4o& a P1 ,in a 8
!.%81
#g 7Tarik8
)<)
,3
0
,%
0 ,2 0 !.%81
#g
&
H = &
$
#g 7Tarik8
)<)
7
"
.**$
,"
0 ,1 4o& a - P2 ,in a
.**$ ,$
0
1%.%$%
.738
E = & ," ,in a - ,$ ,in b .")"1 ,"
1
imina&i per&amaan 738 dengan 7"8 : .**$ ," .**$ ,$ 0 1%.%$% -
.")"1 ,$
0
3).2"1
....7"8
!
3
.")"1 ,"
-
0 ,3 ,1 ,in a P2 4o& a
.")"1
,$ 0
3).2"1
.")"1 ."1)" ,"
."1)" ,$
0
).*+"
.**$ ."1)" ,"
- ."1)" ,$ .*3"+ ,"
0
32.)**+
0
".%*2+
0
7%.'3&1
,"
#g
7Tarik8
,ubtitu&i ke per&amaan 738 akan diperoeh .**$ ," .**$ ,$ 0 1%.%$% .**$ . "*.)31 ,$ 0 *8.%18 #g
.**$ ,$ 0
1%.%$%
7Tekan8
)<)
"3
H = & ,* 4o& a
"7
.**$ ,* ,*
2
0 ," 4o& a - P3 ,in a - P" ,in a 0
"2.+$"
0
!.%'8
-
$.+
-
1".21+
#g 7Tarik8
E = & ,)
0
%
7 '
0 P" 4o& a - P3 4o& a - ," ,in a - ,* ,in a -
,)
0
2%."1 12.2%+
1.+%
*18.8!3 #g 7Tekan8
-
23.12+
)<)
!
E = & ,+ ,in b
8
0 7 - ,)8 - ,$ ,in b ,+
.")"
,+
0
7
1+.+2$
0
3".%3
0
'1.%7'
8 -
-1".13)
#g 7Tarik8
1&
(
H = &
D
,1 0 ,% ,$ 4o& b - ,+ 4o& b 0
$2.2*+
,1 0
*3'.!
-2%.2$"*$
-
%3.2$+
#g 7Tekan8
)<)
%
,12 4o& a
"!
,12 0
.**
5
0 ,* 4o& a ,+ 4o& b - P$ ,in a
0 ,12 0
22.)*$ $).%)
%3.2$*+3
(!.7'
#g 7Tarik8
-
2*."3*
E = & ,11 0 P$ 4o& a ,* ,in a - ,+ ,in b - ,12 ,in a 8
0
1
11
,11 0
$2.*1
12.2%+
& #g
)<)
H = & 13
1&
& #g
,13
4
0 0
,1 *3'.7'
#g 7Tekan8
)<)
E = & H
0 - 7 P% 4o& a ,12 ,in a 8
*(%.%'17 = *(%.%'17 13
H EH
H = & P% ,in a 0 &.3%& 0
kay C
,13 ,12 4o& a &.3%&
kay C
-
3".%2$ -
31.1+
"7
"3 . 6ngin Kanan 2
"
"! *
"
"1 1
6
5 $
3
)
"(
+
12
H
11
3$o H6
1 2
E6 3.!&&
m
13
D
%
$
3.!
m
4
3.!
m
3.!
1.77'7
#g
#g
P" 0 P$ 0
7.%87%
#g
#g
P% 0
1'.%78
#g
P1 =
7.881&
#g
P2 =
!8.8%1
P3 =
8.881&
EH m
eperti pada perhitungan per-etakan akibat beban angin kiri maka akibat beban angin kanan akan dipero-eh
:
H A 0 H 0
*(%.%'17
#g
&.3%8
#g
A 0
%8.&1(
#g
)<)
1
,1 ,in a .")"1
6
- 7 H A P1 4o& a 8
0
-
,1
0
(!.7'
,2
0 P1 ,in a - ,1 4o& a - HA
7
-31.1+ 8 #g 7Tarik8
H = &
H6
0
,1
E6
0
*1(.7(3 #g 7Tekan8
,3
0
& #g
,%
0 ,2 0 *1(.7(3 #g 7Tekan8
)<)
H = &
$
)<)
7
E = & ," ,in a - ,$ ,in b
,"
.")"1
-
.")"1 ,$
0 ,1 ,in a ,3 - P2 4o& a 0
-21.)+3$
0
1
0
*%.""3
.7$8
H = & "
.**$
1 3
!
o& a ,"
$
o& b
.**$ ,$
o& a
2
na
.7%8
imina&i per&amaan 7$8 dengan 7%8 : .")"1 ," .")"1 ,$ 0 -21.)+3$ .**$ ,"
.**$
,$ 0
*%.""3
.**$ ."1)" ,"
- ."1)" ,$ 0
.")"1 ."1)" ,"
."1)" ,$ 0 .*3"+ ," 0 ," 0
-1+.1**$ ".)+3% 21.%$ !.%'%( #g
7Tarik8
,ubtitu&i ke per&amaan 7%8 akan diperoeh .**$ ," .**$ ,$ 0 *%.""3 .**$ . 2$.*)*% .**$ ,$ 0 ,$ 0 '1.%7(' #g 7Tarik8
*%.""3
)<)
"3
H = & ,* 4o& a
"7
.**$ ,* ,*
0 P3 ,in a P" ,in a ," 4o& a 0
"2.+$"
0
7%.'3&1
#g 7Tarik8
2 E = & ,) 0 P3 4o& a - P" 4o& a - ," ,in a 0
%
7
- ,* ,in a
*18.8!3 #g 7Tekan8
' )<)
!
8
E = & ,+ ,in b .")"1
0 7 - ,)8 - ,$ ,in b
,+ ,+
1&
( D
0
7
1+.+2$3
0
-1".13)2
0
*8.%18
8 -
3".%2$
#g 7Tekan8
H = & ,1 0 ,% ,$ 4o& b - ,+ 4o& b 0 ,1 0
-12%."2%3
%3.2$*+
-
-2%.2$"*
*3(.81! #g 7Tekan8
)<)
,12 4o& a .**$
"! 5
0 ,* 4o& a ,+ 4o& b P$ ,in a
,12
0
"2.+$"
0
2*."$32
,12 0
3.31!8
-2%.2$"*
11.*
#g 7Tarik8
E = & 11
8
11
*
0
23.12+ -
1
n a -
0
,11 0
n b -
+
-
21.+1+ &
#g
)<)
&.&
#g
11 13 1&
4
H = & ,13 0 ,1 0 *3(.81!
#g 7Tekan8
12
n a -
-1".13)2
-
$
o& a
1$.32+
)<)K H Kontro1 "(
13
H
E = & H ,12 ,in a .3*+
0 P% 4o& a
1$.32+ 1!.'1&
0 0
1$.)12 1!.'1&
kay C
EH H = & ,13 0 *3(.81!
p
0
- 7 ,12 4o& a P% ,in a 8 *3(.81!
kay C
" . 6kibat $eban )ak )erduga "
2
" *
"
5
"
)
$
1
+
12
3
m ! . 3
" H
11
3$o
6 2
E6
3.!&
"
0
m
3.!&
1&&
E6
%
$
1
D
m
13
4
3.!&
EH
m
3.!&
m
#g "
EH
0
0
!&&
0
#g
!&
)<)
"
0 P - H A
.")"1
6
,1
0 -1$
,1
0 *31(.3%81 #g 7Tekan8
H = & ,2 0 - 7 ,1 4o& a 8 0
E6
'%.!'1
#g 7Tarik8
)<)
0
& #g
3 H = &
(
,%
$
0
0 ,2 '%.!'17 #g 7Tarik8
)<)
H = & ," 4o& a ,$ 4o& b .**$
,"
.**$
0 ,1 4o& a ,$
0
-2)*.$)1"
.7)8
E = & ," ,in a - ,$ ,in b .")"1
1 3
!
,"
-
.")"1
0 P ,1 ,in a ,3 ,$
0
-$
.7*8
imina&i per&amaan 7)8 dengan 7*8 : .**$ ," .**$ ,$ 0 ,"
.")"1
-
.")"1
.")"1 ."1)" ," ."1)" ,$ 0
-2)*.$)1"
,$ 0
.**$ ."1)" ,"
-$
- ."1)" ,$ 0 .*3"+ ," 0 ," 0
,ubtitu&i ke per&amaan 7)8 akan diperoeh .**$ ," .**$ ,$ 0 -2)*.$)1" .**$ ,$ 0
.
-21.+2%
*1&!.7(3&
.**$
,$
0
-132.)) -"".23% -1)%.+"2 *1&.8(& #g 7Tekan8
-2)*.$)1"
#g 7Tekan8
)<)
"
,* 2
0 ," 4o& a 0 ," 0
#g 7Tekan8
E = & ,) 0 - 7 P ," ,in a ,* ,in a 8 0 1&& #g 7Tarik8
%
7
*1&.8(&
' )<)
'
8
E = & ,+ ,in b .")"
1&
( D
0
- 7 ,) ,$ ,in b 8
,+
0
-$.
,+
0
*1&!.7(3 #g 7Tekan8
H = & ,1 0 ,% ,$ 4o& b - ,+ 4o& b ,1 0 '%.!'1 #g 7Tarik8
R2K6"<)L6< 466* 466 $6)6N4 466 $6)6N4 Kg0 J2N< $6)6N4
6 ) 6 H 6 G 6 $ L 6 N 9 4 6 < D
N9;9R $6)6N4
1 7 % 1 ( 1& 13 3 ! ' 8 11
$2$6N ;6)< ;0 kg0 )2K6N*0 -1*%)."%%* -12%3.2$*2 -12%3.2$*2 -1*%)."%%* -%".2*) -%".2*) -
)6R
6N4
$2$6N )6K )2RD46 )0 kg0 )2K6N*0 -31%.3*+1 -21.+2% -21.+2% -31%.3*+1 -1$."%3 -1$."%3 -
)6R
)2K6N*0 32.31$+ -3).22$ -3).22$ -2+.*1+1 -1+.+2$3 -
)6R
6N4
)6R
K9;$
6 ) 6 H 6 G 6 $ L 6 N 9 4 6 < D
N9;9R $6)6N4
1 7 % 1 ( 1& 13 3 ! ' 8 11
; F ) kg0 )2K6N*0 -21*3.*$$+ -1")".1*"2 -1")".1*"2 -21*3.*$$+ -)+.%)1) -)+.%)1) -
)6R
; F 6Kr kg0 )2K6N*0 -1*3$.1$1 -12%3.2$*2 -12%3.2$*2 -1*%)."%%* -3).22") -3).22") -%3".2)* -1+.+2$3 -%".2*) -
)6R
; F 6Kn kg0 )2K6N*0 -1*%)."%%* -12%3.2$*2 -12%3.2$*2 -1*3$.1$1 -12%."2%3 -12%."2%3 -3%.+12$ -3%.+12$ -%".2*) -1+.+2$3 -%3".2)* -
)6R
"6NJ6N4 H6R46 $6)6N4 m0 2K)R<; kg0
-21*3.*$$+
1+22.*22
-)+.%)1)
3.%+12 3.%+12 3.%+12 3.%+12 3.2$ 3.2$ 3.2$ 3.2$ 1.)$ 3.%+12 3.$ 3.%+12 1.)$
(. "2RH<)N46N D<;2N< $6)6N4 1. $atang 6tas Pma< *.1%38 0 *1%3.%!( #g 0 $a#a )
3'
tekan
0
min
0 0
sd 0
dengan 3.(81
0
m
Dntuk 1 pro!i? min
0
< <
192 <7
0
7tekan8
#g9cm2
1(&&
3(8.11 cm
Pma< 1.%+ < 1.%+ < 2.1*" !&.%( cm"
0
ton
7tekan82 13.%2$
$.2*% 8
!.173
cm"
'ari tabe baja pro!i yang memenuhi adaah
t
d
b
) < ) < ) dengan data: < 0 y 0 cm" "2." i< 0 iy 0 cm 2.12 cm2 5 0 +." cm 7pat &impu8 a 0 1 t 0 ) 0 .) cm mm 0 cm b 0 ) ) cm = 0 ."+$ cm e 0 1.+) cm 7diameter ubang8 d 0 2 Jadi diameter baut menurut ""$$< 0 d 0 d - 1 mm 7baut hitam8 d0 1.+ cm
b
Kontro- )ekuk ntuk sumbu -eat bahan sumbu @*@ 0 tekan 3%+.1 0 0 1)".11 l< 0 i< 2.12 'ari tabe <-a -s<< diperoeh a< s<<
< sd 0
P
0 a< 0 a<
st
0
y!ikti!
0
2 2 7 y 54 8
0
2 7
iy!ikti!
0
7
l<
0
0
&.17
<
1%
21*3.*
%$0
0 11(.1( 25 1*.* ntuk sumbu bebas bahan sumbu +*+ 0
"2." ?+<y!ikti! 25
tekan iy!ikti!
a< ay!ikti! 0
0
+." 8192 3%+.1 3.+
.12" .22$
ly1
<
Banyaknya medan
0
0
18%.7&
#g9cm2
0
iy 0
#g9cm2
I
ay!ikti!
0
cm
&.!!1
0 1%$
1(!.&
<
2.12 0 378.%& cm tekan 3%+.12% 0 0 medan 3"+.*
0
medan dibuat 2 pat koppe tekan 6arak pat koppe dengan tepi batang 7 ki 8 0
0
untuk &etiap
9ka+
&.!
1.$$
Maka
#g9cm2
18%.7&
0 11+.""2 K 118.7
'ari tabe < - a - s<< diperoeh ly1 medan
0
4 0 e 192a 0 cm 2.") 2 < 2.") 8 0 188.78' cm" 1)+.$$ 192 0 7 8 0 3.&8& 1*.*
'ari tabe untuk < - a - s<< diperoeh a1 0
1'7
sd 0 3'8.8 1%3.%!(
< 25 < P
.12"
K
3.&&
7dibuatkan keganji8
3
3%+.12$)%$
0
13.&7&
cm
Kontro- untuk ban+akn+a medan ki 123." 0 iy 2.12 'ari tabe diperoeh ay1 0 ly1
0
ay!ikti!
< ay1
.22$
stk
<
0 0 0
st
0
$*.3*
K
.)3% &.1(( ay!ikti!
<
oke < sd
ay1
.22$ < .)3% 2 (7.8(& #g9cm
<
1%
P 21*3.*$$+ 0 0 11(.1(3 I 25 1*.*
k sd
0 0
3.!& 1(&&
5netto
0
Pma< sd 1.2
(7.8(
#g 7tarik8
#g9cm2 0 <
1+22.*22 0 1%
5netto
0
1.2
$ <
1.& <
$ <
cm2
Kontro-
Pma< 5
0
1+22.*22 *.2"
0
1.77
cm2
5
0
%.7 cm2
e
0
1.!( cm
= 0 d 0 0 iy 0
&.3! cm 1.7 cm 1.7' cm
1.22
0
+
i< 0
9ka+
m
'igunakan pro!i baja
+td
!%
&.'3(
L a< L .12" &.17
. $atang $aah Pma< 0 18.%
5bruto 0
0
33.3!
#g9cm2
I
: k min
2"
32$ 1.")
2"
221.1
2"
9ka+
3. $atang DiagonaPma< *&.'1& ton 0 *'&8.(' #g 0 7tekan8 2 sd #g9cm 0 1(&& 0 m tekan 3.(81 0 3(8.11 cm min Pma< < 7tekan82 0 1.%+ < 0 0
1.%+ < .)1 1(.371 cm"
Dntuk 1 pro!i? min
0 0
<
192 <7 %.1'1
13.%2$ N 1%.3"1 8 cm"
1(&&
#g9cm2
9ka+
Pro!i yang memenuhi : $ < $ < ) dengan data: < 0 y 0 cm" 1".% i< 0 iy 0 cm 1.* cm2 5 0 +.3 cm 7pat &impu8 a 0 1 cm t 0 ) 0 .) cm = 0 .3$" mm 0 cm b 0 $ $ cm e 0 1."+ cm d 0 1.) Kontro- )ekuk ntuk sumbu -eat bahan sumbu @*@ 0 tekan 3%+.121 0 0 2$.) l< 0 i< 1.* 'ari tabe <-a -s<< diperoeh a< s<<
< sd 0
0 a< 0 a<
.12"
K
0
&.17
<
1%
1%!
18%.7&
0
sd 0 3!%3.1&7 '&8.('1' < 25 < P )+.%)1) st 0 0 0 38.3& #g9cm2 I 25 1*.% ntuk sumbu bebas bahan sumbu +*+ 0 y!ikti! 0 2 7 y 54 2 8 4 0 e 192a
P
0
l<
0
a< ay!ikti! 0
.12" .2
%$0
ay!ikti!
ly1
<
Banyaknya medan
0
Maka
0
untuk &etiap
&.!(
0
0
iy 0 ++.1
88.1
<
1.* cm 0 1'%.3% tekan 3%+.121 0 0 medan 1)*.3*
2.%+
medan dibuat 2 pat koppe tekan 6arak pat koppe dengan tepi batang 7 ki 8 0 medan
0
3
ki 123." 0 iy 1.* 'ari tabe diperoeh ay1 0 0
ay!ikti!
< ay1
stk
st
0
.)+ &.1%
L a< L .12" &.17
0
ay!ikti!
<
0 0
.2$% 8&.71
.2
%$<
0
7dibuatkan keganji8
3
0
3%+.12$)%$ 0 3
Kontro- untuk ban+akn+a medan ly1
cm
&.7%7
'ari tabe < - a - s<< diperoeh ly1 medan
9ka+
2 7
'ari tabe untuk < - a - s<< diperoeh a1 0
#g9cm2
18%.7&
0 cm 1.++ 2 +.3 < 8 0 1".% 1.++ 1&&.'18 cm" ?+<y!ikti! +.%$ 7 8192 0 7 8192 0 .7& 25 1*.% tekan 3%+.121 0 0 1%".)$+ K 1(7.% iy!ikti! 2.2"
0 iy!ikti!
#g9cm2
ay1
< .)+ #g9cm2
P )+.%)1)1 0 0 25 1*.%
%*.3
%$K
(%.7
&.'&8
oke < sd <
1%
38.8!
I
8&.71
9ka+
13.&7&
cm
STRUKTUR BAJA II
'. "2RH<)N46N "L6) K9""2L
1. $atang 6tas t =1 m
P 0 -21*3.*$% #g ) < ) < 5 0
a
< e ( a d
0 0 0 0 0
)
cm2 +." y 0 "2." cm 1.+) ."+$ cm 1 cm 1.+ cm
cm"
d !d d
"erhitungan baut : dimana t 0 ?%s 0 0 dimana sm01?$s 0
.% < 1" #g9cm2 *" 1.$
0
21
Tinjau ge&er :
P9n
Tinjau mee&ak :
P9n
<
1" #g9cm2
0 27 p9".d2.t 8 0 d.t.sm n 0
0 27 p9"<
1.+
1.+ <
1 <
0
P 21*3.*$% 0 0 .$$ K Pmin 3++
2
<
*"
21
0
80 ")%3.2*3 #g 3++. #g
kuran p-at koppe-
l = +d 0 t
0
+ <
1.+
0 1).1 cm
$ <
1.+
0
1 cm
c 0 $d 0
+.$ cm
O 0 2( a 0 2. cm ki 0 123." cm &yarat? 'ma< 0 1?$< P 0 3.'!%
#g
Momen &tati& terhadap &umbu y - y < 1 0 8.3!3 cm3 0 27 y 57O928 28 0 2 7 "2." +.3%2" 8 ,<'<ki 3)%+).$$" H 0 0 0 3(7.!3!%' #g 13."12$ , 0 5 < O92
0
+."
Dntuk &atu baut? H92 0 1%.('8 #g Pat koppe &eimbang jika? H.O 0 Q.c H
0 7
0 1&3.71! cm"
untuk &atu baut? Q92 0
33221.$++ 1"$).)3* 8192
0
1%(.38
3%.1%&3
#g
#g
STRUKTUR BAJA II
Kontro- kekuatan baut : Terhadap ge&er R
tt
/ 0 19"od2
0
1*%.22" 2.*3$
0
(!.(%&%
#g9cm2 I
%7&
#g9cm2
oke Terhadap mee&ak :
tm
/ t
0
1*%.22" 1.+
0
0
8%.&1(
#g9cm2 I
1&&
kg9cm2
oke Kontro- p-at koppe1).1 -
3.* 8
5netto
0 t 7 l - 2d 8
5ubang
0 19"td2
tota
0 1912 < t < l3
0 71(.(% cm"
ubang
2 0 25ubang 7192c8
0
netto
0 tota - ubang netto 0 0 192l
=netto
0
1 7
.%3!
0
13.3
0
cm2
cm2
1'.8 cm"
0 %%.' cm" 2**.) 0 33.''1 cm3 *.$$
terhadap ge&er : H 3%".$3% 0 0 '.7&8 #g9cm2 5netto 13.3
tge&er
0
tma<
0 392
0 71.113 #g9cm2 I
tge&er
%7&
#g9cm2
oke
terhadap momen : sytd
M 0 (netto
0
Q92 < c (netto
0
3%2.)1 0 33.))1
1&.'7
#g9cm2 I
17&&
#g9cm2
oke
#g9cm2
oke
tegangan idea : sid
0
7 7 sytd 82 37
t
82 8192
ma<
0 7 0
11$.3% $).+ 8192 '.&1!
#g9cm2 I
17&&
. $atang DiagonaP 0
5 0 < e ( d a
0 0 0 0 0
-)+.%)2
#g
$ < $ <
)
cm2 +.3 y 0 1".% cm 1."+ cm .3$" 1.) cm 1 cm
cm"
"erhitungan baut : dimana t 0 ?% s 0 0 dimana sm01?$s 0
.% < 1" #g9cm2 *" 1.$
0
21
Tinjau ge&er :
P9n
Tinjau mee&ak :
P9n
<
1" #g9cm2
0 27 t9".d2.t 8 0 d.t. sm n 0
P 0 Pmin
0 27 t9"<
1.)
1.) <
1 <
0
)+.%)2 3$)
0 .2 K
2
<
*"
21
0
80 3*13.2%$ 3$).
#g
#g
STRUKTUR BAJA II
kuran p-at koppe-
l = +d 0 t
0
+ <
1.)
0 1$.3 cm
$ <
1.)
0
O 0 2( a 0 1.) cm ki 0 123." cm &yarat? ' ma< 0 1?$< P 0 1&.(7!
1 cm
c 0 $d 0
*.$ cm
#g
Momen &tati& terhadap &umbu y - y , 0 5 < O92 0 +.3 < .*$ 0 '.'11( cm3 0 27 y 57O928 28 0 2 7 1".% %.$*$)2 8 ,<'<ki 11."%$ H 0 0 0 3%.3'8&! #g "2.3)1"
0 7.3'17! cm"
Dntuk &atu baut? H92 0 118.1%8! #g Pat koppe &eimbang jika? H.O 0 Q.c H
0 7
untuk &atu baut? Q92 0
1"2%.1"3 $)3.%%$ 8192
0
3.8!&1
11.!'&
#g
#g
Kontro- kekuatan baut : Terhadap ge&er R
tt
0
/ 0 19"td2
121.$)2 2.2)
0
!3.!(&(
#g9cm2 I
%7&
#g9cm2
oke Terhadap mee&ak :
tm
0
/ t
121.$)2 1.)
0
0
'1.!18
#g9cm2 I
1&&
kg9cm2
oke Kontro- p-at koppe5netto
0 t 7 l - 2d 8
5ubang
0 19"td2
tota
0 1912 < t < l3
0 8%.7( cm"
ubang
2 0 25ubang 7192c8
0
netto
0 tota - ubang netto 0 0 192l
=netto
0 0
1 7
.'&
1$.3 -
3." 8
11.8
0
cm2
cm2
%.&
cm"
0 1(.! cm" 21%.$ 0 %.8( cm3 ).%$
terhadap ge&er : H 23*.3)+ 0 0 &.&3 #g9cm2 5netto 11.+
tge&er
0
tma<
0 392
0 3&.&7% #g9cm2 I
tge&er
%7&
oke
#g9cm2
terhadap momen : sytd
0
M 0 (netto
Q92 < c (netto
0
23.$* 0 '.1877 #g9cm2 I 2*.2+%
17&&
#g9cm2
oke
#g9cm2
oke
tegangan idea : sid
0
7 7 sytd 82 37
tma< 82 8192
0 7 0
$1.)$+ 2)*.% 8192 !.!38
#g9cm2 I
17&&
STRUKTUR BAJA II
%. "2RH<)N46N J;L6H "aku ke-ing ,yarat kekuatan Paku keing : a. Akibat ge&er : P9n t 0 @ 5
t
dimana t 0 ?%s 0
.% < *"
0 b. Akibat mee&ak :
s 0
P9n @ 5m
1" #g9cm2
sm
dimana sm01?$s 0
1.$ 0
<
21
1" #g9cm2
5 0 ua& penampang Paku keing 5m 0 ua& penampang mee&ak )itik Kumpu- 6 = H $atang 1 = 1 P 0 #g 7tekan8 -11+)$ Pro!i + < + < + d 0 cm 1." t 0 .+ cm
1
P9n P9n
0 27 p9".d2.t 8 0 d.t.sm n 0
$atang = 13 P 0 11*2. #g Pro!i $ < $ < d 0 1." cm t 0 .$ cm P9n P9n
0 7 p9".d2.t 8 0 d.t.sm P Pmin
n 0
0
P Pmin
0
0
27 p9"<
1."
2
1." < .+ <
0
<
21
11+)$. 0 ".%3 y 2$*%.1$+)
80 2$*%.1$+ #g
*" 0
2%"%
#g
$
$
0 0
7 p9"<
1."
2
<
1." < .$ <
11*2 0 12+3.)+$"
80 12+3.* #g
*" 21
0
1")
#g
%
)itik Kumpu- = 5
a a1M 1 t1 3
$atang 7 = % P 0 11+)$. #g 7tekan8 Pro!i + < + < + d 0 cm 1." t 0 .+ cm P9n P9n
0 27 p9".d2.t 8 0 d.t.sm n 0
P Pmin
0
0 0
27 p9"<
1."
1." < .+ <
11+)$. 0 ".%3 y 2$*%.1$+)
2
<
21
3
80 2$*%.1$+ #g
*" 0
2%"%
#g
STRUKTUR BAJA II
$atang 3 = 11 P 0 . #g $atang ! = 8 P 0 -%3".2* #g Pro!i " < " < d 0 1.% cm t 0 ." cm P9n P9n
0 27 p9".d2.t 8 0 d.t.sm
n 0
P Pmin
0
"
0
27 p9"<
0
%3".2* 13""
1.%
2
<
1.% < ." < 0
.") y
80 2$*%.1$+ #g
*" 21
0
13""
#g
1
)itik Kumpu- D
' '
$atang ! = 8 P 0 -)+.%)2 #g Pro!i " < " < d 0 cm 1.% t 0 ." cm
8
! !
P9n (
1&
P9n
0 27 p9".d2.t 8 0 d.t.sm n 0
P Pmin
0
"
0 0 )+.%)2 13""
27 p9"<
1.%
1.% < ." < 0 .$2* y
2
<
21
1
$atang ( = 1& P 0 1+22.*22 #g Pro!i $ < $ < $ d 0 1.3 cm t 0 .$ cm P9n 0 7 p9".d2.t 8 0 7 p9"< 1.3 2< 80 12+3.* #g *" s d.t. 1.3 < .$ < 21 0 13%$ P9n 0 0 #g m n 0
P Pmin
0
1+22.*22 0 1."*) y 12+3.)+$"
2
$atang ' P 0 %)2.+1 #g Pro!i $ < $ < ) d 0 1.% cm t 0 .) cm P9n 0 27 p9".d2.t 8 0 27 p9"< 1.% 2< 80 2$*%.1$+ #g *" 1.% < .) < 21 0 23$2 P9n 0 d.t.sm 0 #g n 0
P Pmin
0
%)2.+1 23$2
0 .2*% y
1
80 2$*%.1$+ #g
*" 0
13""
#g
STRUKTUR BAJA II
)itik Kumpu- D $atang ' P 0 -)+.%)2 #g Pro!i " < " < d 0 cm 1.% t 0 ." cm
8
(
1&
0 27 p9".d2.t 8 0 d.t.sm
P9n '
P9n
n 0 $atang 8 = 1 P 0 -21*3.*$% #g Pro!i $ < $ < d 0 1.% cm t 0 .) cm P9n P9n
0 27 p9".d2.t 8 0 d.t.sm
n 0
P Pmin
0
0
P9n
n 0
P Pmin
0
27 p9"<
27 p9"<
1.%
1.% < ." <
0
-)+.%)2 13""
0
1.%
2
<
1.% < .) <
0
21*3.*$% 23$2
0 27 p9".d2.t 8 0 d.t.sm
0
0 -.$3 y
2
<
21 1
21
0 .+2+ y
80 2$*%.1$+ #g
*" 0
23$2
#g
1
"
0 0
27 p9"<
1.%
1.% < ." <
1+22.*222 0 1."31 y 13""
2
<
80 2$*%.1$+1 #g
*" 21
2
0
13""
#g
80 2$*%.1$+ #g
*"
)
$atang 1& = 13 P 0 1+22.*22 #g Pro!i " < " < d 0 1.% cm t 0 ." cm P9n
P Pmin
"
0
13""
#g
STRUKTUR BAJA II
8. "2RH<)N46N L6 1. )itik impu$
7 1
!
P1 0 P3 0
-21*3.*% #g
P" 0 P$ 0
-1")".1* #g
. -%3".3
#g #g
3
K2)6 : a
?1 e
"
e1
a
?
a
a
Lnetto Lbruto
$atang 1 P 0 -21*3.*$% #g Pro!i ) < ) e1 0 1.+) cm b 0 ). cm e2 0 ) - 1.+) t 0 ?%< 1"
7tekan8 < ) t
0
.) cm
0 $.3 cm #g9cm2 0 *"
a& bagian ata& ;1
0
51
0
a
P < e1 2b ;1 t
0
0 3).3 *"
0 ?))1t 0
1 netto
0
51 a
1 bruto
0 0
1 netto .)3+
0
.3%%
0
3).3
#g
cm2
cm
."+$ .3%% ."+$
0
21*3.+ < 1.+) 1".
0
3a 1."*$
.)3+
0
cm
2.22"
cm
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
0
3).3 1.11
0
1 bruto 0 2.22" a 0 ."+$ cm
2)+.1
%$cm
#g9cm2
@
*"
#g9cm 2
oke
STRUKTUR BAJA II
a& bagian ba(ah P < e2 ;2 0 2b 52 a
0
;2
)*".% *"
0
t
0 ?))1t 0
2 netto
0
52 a
2 bruto
0 0
2 netto 1.**)
0
0
.+3"
0 )*".%3
#g
cm2
cm
."+$ .+3" ."+$
0
21*3.+ < $.3 1".
0
1.**)
3a 1."*$
0
cm
3.3)2
Kontro- tegangan
tytd
0
;1 a.2bruto
6adi panjang a& 0 ebar a& 0
0
)*".%2* 1.%%+
0
2bruto 0 3.3)2 a 0 ."+$ cm
").1
#g9cm2
@
*"
#g9cm2
oke
*"
#g9cm2
oke
cm
$atang 3 P 0 #g . Pro!i $ < $ < ) e1 0 1."+ cm b 0 $ cm e2 0 $ - 1."+ 0 3.$1 cm t 0 ?%< *" #g9cm2 0 $"
t
0
.) cm
a& bagian ata& ;1
0
51
0
a
P < e1 2b ;1 t
. $"
0
0 ?))1t 0
1netto
0
51 a
1bruto
0 0
1netto .
0
.
0
.
#g
cm2
cm
."+$ . ."+$
0
. < 1."+ 1.
0
0
3a 1."*$
.
0
cm
1."*$
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
0
a
0
;2 t
0
1bruto 0 1."*$ a 0 ."+$ cm
a& bagian ba(ah P < e2 ;2 0 2b 52
. .)3$
0
0 ?))1t 0
."+$
0
. cm
#g9cm2
@
cm
. < 3.$1 1.
0 . $"
.
cm2
0
.
#g
STRUKTUR BAJA II
2 netto
0
52 a
2
0 0
2 netto .
bruto
. ."+$
0
0
.
3a 1."*$
0
cm
1."*$
Kontro- tegangan tytd
0
;1 a.2 bruto
6adi panjang a& 0 ebar a& 0
. .)3$
0 2 bruto
0
.
1."*$ 0 ."+$ cm
a 0
#g9cm2
@
*"
#g9cm2
oke
*"
#g9cm2
oke
cm
$atang 7 P 0 -1")".1*" #g Pro!i ) < ) < ) e1 0 1.+) cm b 0 ) cm e2 0 ) - 1.+) 0 $.3 cm t
0 ?%< *"
0
t
0
.) cm
#g9cm2
$"
a& bagian ata& ;1
0
51
0
a
P < e1 2b ;1 t
2)."" $"
0
0 ?))1t 0
1 netto
0
51 a
1
0 0
1 netto .*32
bruto
0
0
."12
0 2).""
#g
cm2
cm
."+$ ."12 ."+$
0
1")".2 < 1.+) 1".
0
3a 1."*$
.*32
0
cm
2.31%
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
1 bruto
a
0
;2 t
0
2 netto
0
52 a
2
0 0
2 netto 2.123
bruto
0 $2+.%$ $"
0 ?))1t 0 0
0
2.31% 0 ."+$ cm
a 0
a& bagian ba(ah P < e2 ;2 0 2b 52
2)."3+ 1.1")
0
0
3a 1."*$
1.$1
cm2
cm 0
2.123
0
#g9cm2
@
cm
1")".2 < $.3 1".
."+$ 1.$1 ."+$
1*.+21
3.%*
cm
0 $2+.%$
#g
STRUKTUR BAJA II
Kontro- tegangan tytd
0
;1 a.2 bruto
6adi panjang a& 0 ebar a& 0
$2+.%$3 1.)*%
0
2 bruto
0
3.%* 0 ."+$ cm
a 0
2+%.$))
#g9cm2
@
*"
#g9cm2
oke
*"
#g9cm2
oke
*"
#g9cm2
oke
cm
$atang ! P 0 -%3".2* #g Pro!i $ < $ < ) e1 0 1."+ cm b 0 $ cm e2 0 $ - 1."+ 0 3.$1 cm t 0 ?%< 1" #g9cm2 0 *"
t
0
.) cm
a& bagian ata& ;1
0
51
0
a
P < e1 2b ;1 t
0 +".") *"
0
0 ?))1t 0
1 netto
0
51 a
1 bruto
0 0
1 netto .22)
0
.112
0
+".")
#g
cm2
cm
."+$ .112 ."+$
0
%3". < 1."+ 1.
0
3a 1."*$
.22)
0
cm
1.)12
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
+".") .*")
0 1 bruto
52 a
0
;2 t
0
0 222.$" *"
0 ?))1t 0
2 netto
0
52 a
2 bruto
0 0
2 netto .$3$
1.)12 0 ."+$ cm
a 0
a& bagian ba(ah P < e2 ;2 0 2b
111.")%
.2%$
#g9cm2
@
cm
%3". < 3.$1 1. 0
0 222.$"
#g
cm2
cm
."+$ .2%$ ."+$
0
0
0
3a 1."*$
.$3$
0
cm
2.2
Kontro- tegangan tytd
0
;1 a.2 bruto
6adi panjang a& 0 ebar a& 0
0
222.$"" 1.
2 bruto a 0
0
2.2 0 ."+$ cm
222.$%2
cm
#g9cm2
@
STRUKTUR BAJA II
. )itik impu- 2
7
P"
0 -1")".1*" #g
P)
0
P*
0 -1")".1*" #g
%)2.+1 #g
% '
$atang 7 = % P 0 -1")".1*" #g pro!i ) < ) < e1 0 1.+) cm
) t
0
.) cm
b 0 ). cm e2 0 ) - 1.+) 0 $.3 cm t
0
?%< 1"
0
#g9cm2
*"
a& bagian ata& ;1
0
51
0
P < e1 2b ;1 t
a 0 ?))1t
1 netto
0
1 bruto
0 0
51 a
2)."" *"
0
0
."++
0
."+$ .2")
0
1 netto
1")".2 < 1.+) 1".
0
."+$
.2")
#g
cm2
cm
0
3a 1."*$
0 2).""
."++
0
cm
1.+*"
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
0
2)."3+ .+*2
1 bruto 0 1.+*" a 0 ."+$ cm
a& bagian ba(ah P < e2 ;2 0 2b 52
0
;2 t
0
a 0 ?))1t 2 netto
0
52 a
2 bruto
0
2 netto
0
0
0 $2+.%$ *"
0
0
3a
0
.%31
cm2
cm 1.2)"
#g9cm2
@
*"
cm
1")".1* < $.3 1".
."+$ .%31 ."+$
211.2$$
cm
0
$2+.)
#g
#g9cm2
oke
STRUKTUR BAJA II
0
1.2)"
1."*$
0
0
$2+.%$3 1.3%%
2.)$+
Kontro- tegangan tytd
0
;1 a.2bruto
6adi panjang a& 0 ebar a& 0
0
2bruto 0 2.)$+ a 0 ."+$ cm
3*).*)$
#g9cm2
@
*"
#g9cm2
oke
*"
#g9cm2
oke
*"
#g9cm2
oke
cm
$atang ' P 0 %)2.+1 #g Pro!i $ < $ < ) e1 0 1."+ cm b 0 $ cm e2 0 $ - 1."+ 0 3.$1 cm t 0 ?%< 1" #g9cm2 0 *"
t
0
.) cm
a& bagian ata& ;1
0
51
0
P < e1 2b ;1 t
0
a 0 ?))1t
1netto
0
1bruto
0 0
51 a
1.2%" 0 *" 0
."+$
.11+
0 1.2%
#g
cm2
cm
."+$ .11+
0
1netto .2"1
%)2.+1 < 1."+ 1.
0
0
3a 1."*$
.2"1
0
cm
1.)2%
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
0
1.2%" .*$"
1bruto 0 1.)2% a 0 ."+$ cm
a& bagian ba(ah P < e2 ;2 0 2b 52
0
;2 t
0
a 0 ?))1t 2 netto
0
2 bruto 0 0
52 a
0
2 netto .$%*
0
0
0
."+$ .2*1 ."+$
.2*1
@
0 23%.1+
#g
cm2
cm
0
3a 1."*$
#g9cm2
cm
%)2.+1 < 3.$1 1.
0 23%.1+ *"
11).3$)
.$%*
0
cm
2.$3
Kontro- tegangan t
ytd
0
;1 a.2 bruto
6adi panjang a& 0
0
23%.1+2 1.1%
2 bruto
0
0 2.$3
232."3"
cm
#g9cm2
@
STRUKTUR BAJA II
ebar a&
0
a 0
."+$
cm
STRUKTUR BAJA II
3. )itik impu- D
'
P%
0 1+22.*22 #g
P$
0
-%3".2* #g
P+
0
-%3".2* #g
P1
0 1+22.*22 #g
P)
0
%)2.+1 #g
8
!
1&
(
$atang ( = 1& P 0 1+22.*22 #g Pro!i $ < $ < + e1 0 1.$% cm b 0 $ cm e2 0 $ - 1.$% 0 3."" cm t 0 ?%< 1" #g9cm2 0 *"
t
0
.+ cm
a& bagian ata& ;1
0
51
0
P < e1 b ;1 t
0
0
$++.+2 *"
a 0 ?))1t 0 1 netto
0
51 a
1 bruto
0 0
1 netto 1.122
0
.%3% .)1" .%3%
0
1+22.* < 1.$% $.
0
3a 1.++
.)1"
0
$++.+
#g
cm2
cm 1.122
0
cm
3.31
Kontro- tegangan tytd
0
;1 a.1 bruto
6adi panjang a& 0 ebar a& 0
0
0
;2 t
0
0
2 bruto
0 0
52 a
0
2 netto 2.")$
0
1322.+ *"
a 0 ?))1t 0 2 netto
0
31.+)"
#g9cm2
@
*"
1 bruto 0 3.31 cm a 0 .%3% cm
a& bagian ba(ah P < e2 ;2 0 b 52
$++.+2 1.+2+
1+22.* < 3."" $. 0
.%3% 1.$)$ .%3%
0
3a 1.++
1.$)$
cm2
cm 2.")$
0
cm
".3*"
0 1322.+
#g
#g9cm 2
oke
STRUKTUR BAJA II
Kontro- tegangan tytd
0
;1 a.2bruto
6adi panjang a& 0 ebar a& 0
1322.+2 2.)+
0
0
")".1*2
#g9cm2
@
*"
#g9cm2
oke
*"
#g9cm2
oke
*"
#g9cm2
oke
2bruto 0 ".3*" cm a 0 .%3% cm
$atang ! = 8 P 0 -%3".2* #g Pro!i $ < $ < ) e1 0 1."+ cm b 0 $ cm e2 0 $ - 1."+ 0 3.$1 cm t
0 ?%< 1"
t
0
.) cm
#g9cm2
0
*"
0
%3".3 < 1."+ 1.
a& bagian ata& ;1
0
51
0
P < e1 2b ;1 t
+".") *"
0
a 0 ?))1t 0
1netto
0
1bruto
0 0
51 a
.112
0
."+$
+".$
#g
cm2
cm
."+$ .112
0
1netto .22)
0
0
.22)
3a 1."*$
0
cm
1.)12
Kontro- tegangan tytd
0
;1 a.1bruto
6adi panjang a& 0 ebar a& 0
+".") .*")
0
0
;2 t
a 0 ?))1t 0
0
52 a
2bruto
0 0
2 netto .$3$
0
%3".3 < 3.$1 1.
0 222.$ *"
0
2 netto
111.")%
#g9cm2
@
1bruto 0 1.)12 cm a 0 ."+$ cm
a& bagian ba(ah P < e2 ;2 0 2b 52
0
0
."+$
.2%$ ."+$
.2%$
222.$
#g
cm2
cm
0
3a 1."*$
0
.$3$
0
cm
2.2
Kontro- tegangan tytd
0
;1 a.2 bruto
6adi panjang a& 0 ebar a& 0
222.$"" 1.
0
2 bruto a 0
0 ."+$
0
222.$%2
2.2 cm cm
#g9cm2
@
STRUKTUR BAJA II
1&. "2R2N6N66N K9L9; K Beban ak&ia yang diterima : Beban mati 7A8 Beban tak terduga 7B8 Beban angin kiri 748 Beban angin kanan 7'8 K #ombina&i pembebanan : A B 0 12%2.*21 A 4 0 12%2.*21 A ' 0 12%2.*21 A B 4 0 12%2.*21
0 0 0 0
12%2.*21 2$. .3*+ -%*.*)1
2$ .3*+ -%*.*)1 2$
#g #g #g #g
.3*+
0 0 0 0
0
1!13.1&
Diambil kombinasi pembebanan ekstrim (Ptk) K Beban momen
0 0 0
1$12.*21 12%3.21 11+3.+$ 1$13.21
#g #g #g #g
#g
beban hori&onta akibat angin < tinggi koom *+.22 < 1 *+2.1% #g.m
Dianggap kolom berupa jepit - sendi, # 0 .)) Panjang tekuk 7 tk 8 0 Panjang koom < # 0 1 < .)) 0 '&'.1&' cm K Momen iner&ia R
0
I
n . Ptk . tk2 p2 .
3.$ < 1$13.21 < )).1) F
0
p2
0
21
1'.'(' cm"
0 Untuk satu profil
<
192 7 12).)) 8 0
Direncanakan profil baja Kanal
(3.%%373
cm"
1
<
0
2%
cm"
y
0
2+.3
cm"
i<
0
3.+1
cm
iy
0
1.")
cm"
5 a t
2
0 0 0
13.$ 1 *.$
cm cm 7pat &impu8 cm
=y 0
*."+
cm3
=< 0 b 0 e 0
"1.2 $ 1$.$
cm3 mm mm
K #ontro tekuk Dntuk &umbu e(at bahan 7 &umbu < - < 8 tk )).1) 0 0 1*.*$ K 1%1 l< 0 i< 3.+1 Dari tabel < - a - s<<
diperoeh a<
s<<
0
a< < sd
P
0
a< < 25 < sd
st
0
P 25
0
0
.12+ < 0
0 .12+ 1%
.12+ <
1$13.21 2)
0
0 2)
2%." <
!(.&77%
1% @
#g9cm2 0
$$)2.* &(.7
#g oke C
STRUKTUR BAJA II
Dntuk &umbu beba& bahan 7 &umbu y - y 8 y!ikti!
0
27 y 542 8
0 0
F 7 2+.3 %+).%
iy!ikti!
0
l<
0
?+<y!ikti!
0
Dari tabel < - a - s<< a1
0
a<
0
ay!ikti!
0 0
<
2
%$%2)3.$" 2)
)).11
0
1$.2"3
.12+
0
.*%"
Banyaknya medan 0
1%
cm
1$.2"31"
cm
"%.3*+ K 7(.7
0 .*%"
.1"+
diperoeh ly1
ly1 < iy 1%*.$ <
0
8
0
diperoeh ay!ikti!
Dari tabel < - a - s<< medan
13.$ cm"
0
25 tk iy!ikti!
4 0 e ?$a
3.+1
0 1(%.!
0 %$*.*" cm
tk medan
0
)).11 0 1.)33 K %$*.*"
6arak pat koppe dengan tepi batang 7 ki 8 ki 0
tk medan
)).11 2
0
0
3$3.$$
cm
#ontro untuk banyaknya medan ki 0 iy Dari tabel < - a - s<<
ly1 0
3$3.$$ 0 +."23 K 8&.7 3.+1 diperoeh ay1 0 .$1
ay!ikti!
ay1 a< < L .*%" < .$1 L .12+ ."32+ L .12+ stk
st
0 0 0 0
oke C
ay!ikti!
ay1 < .*%" < .$1 %+2.$*2" #g9cm2
P 25
0
1$13.21 2)
< <
0
sd
1%
!(.&77%
@
(8.!%7
oke C
11. "2R2N6N66N "9ND6<
#M PAT
Digunakan ukuran plat
teba panjang ebar
7t8 0 7h8 0 7b8 0
1 " "
cm cm cm
Perhitungan tegangan :
s
P 5
0
dimana R
M =
M
0
*+21.$)
5
0
b .h
=
0
19% . bh2
P
0 0
0
#g.cm "
<
"
0 1%
1%%) cm3 1$13.21 #g
,ehingga :
s
0
1$13.21 *+21.$) 1% 1%%%.%)
s
0
.+"$)$% *.3%2%"* <
sma< 0 smin 0
+.3*
#g9cm2
-)."1)
#g9cm2
menentukan besarnya x < tmin
0
< )."1)
h-< tma< 0
" - < +.3*
<
0
Gaya yang dibutukan angker Pangker 0 < .b . 192 tmin 0 0 1).)3* . " . 192 . !uas penampang yang dibutukan " Pangker 2%31.23) 5 0 0 0 sangker 1%
1).)"
)."1)
1.%"$
cm
0
0
f
12
mm
0 1.13 cm2
Bany ak ny a angk er
0 F f
12
mm
0 ".$2 cm2
".19".p.
1.2 F . .) .
1%
$%%.)%1
L
#g
cm2
'igunak an angker
Kontrol teradap beban orisontal n.19".p.d2.7?).tangker 8
2%31.23)
L
*+.22
L
*+.22
0 gaya hori&onta
. 7
aman 8
cm2
Kontrol teradap beban momen ".19".p.
1.2 F . $ .
1%
L
M
3%1+11
L
*+2.1$) . 7
aman 8
P M Beban momen Beban ak&ia Berat &endiri ponda&i .3
III
II
I
II
.1 .1$ .1$
Bag.
0 0
*+2.1$) #g.m 1$13.21 #g
Houme 7m38 ." ."* ."*
I II III
gd
2" 2" 2"
ukuran dm meter .3
Berat 7kg8 +% 11$.2 11$.2 32%."
Tota beban ak&ia : P 0 1$13.21 32%." 0 1*3+.%1 #g
." Tegangan yang terjadi : .3
s .3 ." .3 ukuran dm meter
0
P 5
0
1*3+.%1 *+21.$) 1 1%%%%)
M =
0 1*.+3131 #g9cm2
50ua& da&ar ponda&i7b.h8 =019% .bh2