data portal frame 2d
TRANSCRIPT
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PORTAL FRAME 2D
DATA
Geometri Struktur
Lebar bentang h = 3 m
Tinggi bangunan 5h = 15 m
a!ok " = #$##1 m%
#$2 m
#$% m
&o!om
#$%5m
rho = "b = #$##1#'''''( = #$#()#3'))%'
%"* #$#13'')(5
bb =
hb =
b* =
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= #$5 " ba!ok
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PORTAL FRAME 2D
DATA
Geometri Struktur
Lebar bentang h = 3 m
Tinggi bangunan 5h = 15 m
a!ok " = #$##1 m% =
#$2 m
#$% m
&o!om
+ m
Soa! , ==-
Subt$
=
#$##1#'( = #$#%1''''''(
= #$##1#'''''(
#$#%1''''''(
= #$% m
atau
= #$2 . #$% /3
#$5
= #$#25'
atau
bb =
hb =
b* =
"b = #$5. "
*"
ba!ok= #$5 . "
ko!om
"b = 1012 . b
b. h
b3
"* = 1012 . b
. b
3 = 1012 . b
*%
1012 . bb . hb3 #$5 . 1012 . b*%
b*%
b*%
b*
b*%
b*%
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2 . #$2 .
= #$#25'
= #$% m
b*%
b*%
b*
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#$5 " ba!ok
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#$% /3
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eni4 materia! E = 2%)555() k60m2
erat 7eni4 = 2% k60m3
Porta! Frame 1
E!emen b h rho T
8m9 8m9 8m29 8m%9 "b0%"* Se*a!ok #$2 #$% #$#) #$##1#'(
#$#()#3( #$%%3%))&o!om #$%5 #$%5 #$2#25 #$##3%1(
Porta! Frame 2
E!emen b h rho T
8m9 8m9 8m29 8m%9 "b0%"* Se*
a!ok #$2 #$% #$#) #$##1#'(#$125 #$%%315:
&o!om #$% #$% #$1' #$##2133
#$5
Reka;
Framea!ok &o!om
b h
i 8m9 8m9 8m29 8m%9 8m9 8m29
1 #$2 #$% #$#) #$##1#'( #$%5 #$2#25
2 #$2 #$% #$#) #$##1#'( #$% #$1'
T1
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? = 2π$@
?1 = 2π$10T1?2 = 2π$10T2
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rho T
"b0%"*
8m%9 84e*9
#$##3%1(1)) #$#()#3( #$%%3%))
#$##2133333 #$125 #$%%315:
"*
0.07 0.08 0.09 0.1 0.11 0.12 0.13
0
2
4
6
8
10
12
14
16
18
20
Colum
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2311
13%321#
1$2'%#E#) b2%a*
2a
%'3$12%)
11' 11)$#::)(5(
1%3)
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n F
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TABLE: Modal Periods And Frequencies
utputCas StepType StepNum Period requenc CircFreq igenalue
Te.t Te.t Bnit!e44 Se* C*04e* ra04e* ra204e*2
MODAL Moe 1 #$%%3%)) 2$25%: 1%$1') 2##$(2
MODAL Moe 2 #$125(:) ($:%:2 %:$:%( 2%:%$(
MODAL Moe 3 #$#'#(#: 1'$%(2 1#3$5 1#(11
MODAL Moe % #$#3'%3 2($%5 1(2$%( 2:(%(MODAL Moe 5 #$#2'%(2 3($((' 23($35 5'33(
MODAL Moe ' #$#22(51 %3$:55 2('$1( ('2(3
MODAL Moe ( #$#2252: %%$3)( 2()$): ((((:
MODAL Moe ) #$#1#::: :#$:1) 5(1$2' 32'33#
MODAL Moe : #$#1#: :1$(%% 5('$%% 3322:#
MODAL Moe 1# #$#1#'12 :%$232 5:2$#) 35#55#
MODAL Moe 11 #$#1#1:' :)$#)1 '1'$2' 3(:()#
MODAL Moe 12 #$##)((3 113$:: (1'$2 512:%#
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TABLE: Modal Periods And Frequencies
utputCas StepType StepNum Period requenc CircFreq igenalue
Te.t Te.t Bnit!e44 Se* C*04e* ra04e* ra204e*2
MODAL Moe 1 #$%%315: 2$25'5 1%$1() 2#1$#2
MODAL Moe 2 #$13#'35 ($'5%: %)$#:( 2313$3
MODAL Moe 3 #$#''13 15$122 :5$#13 :#2($5
MODAL Moe % #$#%1#:5 2%$33% 152$: 233((MODAL Moe 5 #$#3#%:3 32$(:% 2#'$#5 %2%5(
MODAL Moe ' #$#23(#' %2$1)% 2'5$#5 (#252
MODAL Moe ( #$#23%3 %2$') 2')$1' (1:12
MODAL Moe ) #$#1#1%1 :)$'#' '1:$5' 3)3)'#
MODAL Moe : #$#1##) ::$2#2 '23$3 3))51#
MODAL Moe 1# #$##::#( 1##$:% '3%$2% %#225#
MODAL Moe 11 #$##:'52 1#3$'1 '5#$:: %23(:#
MODAL Moe 12 #$##)25( 121$11 ('#$:( 5(:#(#
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-11046923.6 # # #
-11046923.56 -1E+007 0 0
# -11046923.6 >>> #
# # >>> -11046924
# # # -1E+007
11046924 - ωn
2.191.743
22093847.1 - 266.055ωn
2
22093847.1 - 266.055ωn
2
22093847.1 - 266.055ωn
2
22093847.1 - 266.055ωn
2
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KONVERSI SATUAN
1 kgf = 10 N
1 Pa = 1 N/m²
1 MPa = ### Pa
1 m² = ### mm²
1 m² = 10,000 cm²
1MPa = 1 N/mm²
1 MPa = 1,000 kN/m²
1 MPa = 10 kg/cm² 1 kg/cm²= 10,000
1 MPa = 100,000 kg/m²
1kNm = 100 kgm
1 kN = 100 kg
1 kNm = 10,000 kgcm
MPa x mm² = N
1 kN = 100 kg
m2 m2
BJ Beton = 23.5631 kN = 2402.77 kgf
m3 m3
E = 24855578 kN = 2.54E+09 kgf
m2 m2
2.5E+009
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5 m 5000 mm
5 m 500 cm
5 kg 5000 g
kg/m² 5 kg E!502 N
KG-M KN-M
244.8012 2.4007
2402.6159 23.5616
9.8145593241 9.8144707794
0.1018894448 0.1018903640
101.889444751 101.890363982
288 2400
576
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24.5166
250
10.197172528
101.9707585288
101.9716784938
1.971678493820450000000
1.970758528762450000000
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"ece#$t$n g$%&t$'& (um&) g = 9.81 m*t2 "em(ul$t$n men,$& =
fc- = 20 #$
kon%e'& ke /
/ = fc-*0.83 g
/ = 240.9639 == #em(ul$t$n men,$& 250 kg*cm2
,$& fc - = 20 #$ = /250
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10 m*t2
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Diketahui 4truktur ;orta! bertingkat 3 8tiga9 engan ;embebanan berat ;er !antai an k
1600 -1600 0 3 0
& = -1600 3600 -2000 M = 0 4.5
0 -2000 4400 0 0
1600 -1600 0 3 0 0
-1600 3600 -2000 0 4.5 0
0 -2000 4400 0 0 4.5
1'## 3 1'## #
1'## # 3'## %$5
# # 2### #
1'## 3 1'## #
et 1'## # 3'## %$5
# # 2### #
ωn
2
ωn
2 ωn2
ωn
2 ωn2
ωn
2 ωn2
ωn2 ωn2
ωn
2 ωn2
ωn
2 ωn2
81'## 3ωn29 H 83'## %$5 ω
n29 8 %%## %$5ω
n29 I 81'##9 H81'##9 8%%## %$
ωn
' 2311ωn% 13%321# ω
n2 1$2'% 81#)9 = #
Mi4a!kan β = ωn2 maka akan i;ero!eh ;er4amaan
β3 2311β2 13%321# β 1$2'% 81#)9 = #
1
2
3
m1
m2
m3
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Dia;at ,
11' 10.77033
: 1 : 1 : 1
' #$()25 ' #$%1: ' 1$':'
3 #$%#3' 3 #$:)%% 3 1$'3%#
# # # # # #
β = ω1
2 = ra20et2 → ω1 = √β =
0
1
2
3
4
5
6
78
9
10
Mo! 1
oe
1
2 1 0 1 2
0
1
2
3
4
5
6
78
9
10
Mo! "
oe 2
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ekakuan 4;erti tergambar
0
0
4.5
= #
# #
2### # = #
%%## %$5
# # 1'## 3
2### # 1'## #
%%## %$5 # #
ωn
2
ωn
2
ωn
2
ωn2 ωn2
ωn
2 ωn
2
ωn
2 ωn
2
5ωn29I 81'## 3ω
n29 H82###982###9I = #
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ra0et
2 1.5 1 0.5 0 0.5 1 1.5 2
0
2
4
6
8
10
Mo!
oe 3
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1'## #
3'## %$5
2### #
ωn2
ωn2
ωn2
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