tugas mektek v 2
TRANSCRIPT
7/23/2019 Tugas Mektek v 2
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Diketahui Struktur Portal dengan :
P = 7 ton A = 0,1 cm
q = 12 t/m E = 2.10 kg/cm = !00 cm
tan "! = 7 co# "! =
$%D
= 7 $D =
17 $D
α = "!
A
B C
D
7 m
2 m
10 m
P
q
C'
3o
α
D
C
C'
o o
2
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0 0.7"07"07"07 222.2222222222 0 )0.7"07"07"07
$o# 270 Sin 270 0 0 0)Sin 270 $o# 270 0 0 0
0 0 1 0 0
0 0 $o# 270 Sin 270 0
0 0 )Sin 270 $o# 270 0
0 0 0 0 0
0 )1 0 0 01 0 0 0 0
0 0 1 0 0
0 0 0 )1 0
0 0 1 0 0
0 0 0 0 0
0 1 0 0 0
)1 0 0 0 0
0 0 1 0 1
0 0 0 )1 0
0 0 0 0 0
0 0 0 0 0
1 =
- g1 = -
1
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3 a 3a
0.001+" 0 0.7" 0 0
0 0.022 0 )0.022 0
0.7" 0 ""2.*+" 0 0
0 )0.022 0 0.022 0
0 0 0 0 0
0.7" 0 221."51 0 0
θ
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7
$D
7
0.70710+7512* 5**"*"*4++
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""".""""""""""
00
0
0
0
1
00
0
0
0
1
0
0
0
0
0
1
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0.7"
0 3
221."51 θb
0 a
0 3a
"""."""
θa
θa
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Elemen 2
i = 6
= $6 $
'0,1('200(0 0
)'0,1('200(0
1000 1000
0
12'200('!00( +'200('!00(
0
)12'200('!00(
1000 1000 1000
0 +'200('!00( "'200('!00(
0 )+'200('!00(
1000 1000 1000
)'0,1('200(0 0
'0,1('200(0
1000 1000
0 )12'200('!00( )+'200('!00(
0 12'200('!00(
1000 1000 1000
0 +'200('!00( 2'200('!00(
0 )+'200('!00(
1000 1000 1000
0.02 0 0 )0.02 0
0 0.0012 0.+ 0 )0.0012
0 0.+ "00 0 )0.+
)0.02 0 0 0.02 0
0 )0.0012 )0.+ 0 0.0012
& → 8α = 0
-
2=
3 3
3 3
2
2 2
2
2 2
o
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0 0 0 0 0
0.02 0 0 )0.02 0
0 0.0012 0.+ 0 )0.00120 0.+ "00 0 )0.+
)0.02 0 0 0.02 0
0 )0.0012 )0.+ 0 0.0012
0 0.+ 200 0 )0.+
1 0 0 0 0
0 1 0 0 00 0 1 0 0
0 0 0 1 0
0 0 0 0 1
0 0 0 0 0
3 c 3c
0.02 0 0 )0.02 00 0.0012 0.+ 0 )0.0012
0 0.+ "00 0 )0.+
)0.02 0 0 0.02 0
0 )0.0012 )0.+ 0 0.0012
0 0.+ 200 0 )0.+
θ
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3 c 3c
0.02 0 0 )0.02 0
0 0.0012 0.+ 0 )0.0012
0 0.+ "00 0 )0.+
)0.02 0 0 0.02 0
0 )0.0012 )0.+ 0 0.00120 0.+ 200 0 )0.+
θ
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01000000000 1000000
+'200('!00(
1000
2'200('!00(
1000
0
)+'200('!00(
1000
"'200('!00(
1000
0
0.+
200
0
)0.+
2
2
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1
0 0.02 0 0
0.+ 0 0.0012 0.+200 0 0.+ "00
0 )0.02 0 0
)0.+ 0 )0.0012 )0.+
"00 0 0.+ 200
0
00
0
0
1
0 0.+ 3
200
0 c
)0.+ 3c
"00
θc
θ
θc
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0
0.+ 3
200
0 c
)0.+ 3c"00
θc
θ
θc
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)0.02 0 0
0 )0.0012 0.+0 )0.+ 200
0.02 0 0
0 0.0012 )0.+
0 )0.+ "00
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Elemen 4
9 9 9 9 9 9 9
i = $
= Dα = 315
9 9 9 9 9 9 9
'0,1('200( 0 0 )'0,1('200( 0**0 **0
0 12'200('!00( +'200('!00(
0 )12'200('!00(
**0 **0 **0
0 +'200('!00( "'200('!00(
0 )+'200('!00(
**0 **0 **0
)'0,1('200(
0 0
'0,1('200(
0**0 **0
0 )12'200('!00( )+'200('!00(
0 12'200('!00(
**0 **0 **0
0 +'200('!00( 2'200('!00(
0 )+'200('!00(
**0 **0 **0
0.0202020202 0 0 )0.0202020202 0
0 0 00124+7422 0 +12152"40" 0 )0 00124+7422
- 4=
C
D
x
y
o
4 4
4 4
2
2 2
2
2 2
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0.70710+7512 0.70710+7512 0 0 0
)0.70710+7512 0.70710+7512 0 0 0
0 0 1 0 0
0 0 0 0.70710+7512 0.70710+7512
0 0 0 )0.70710+7512 0.70710+7512
0 0 0 0 0
0.0202020202 0 0 )0.0202020202 0
0 0.00124+7422 0.+12152"40" 0 )0.00124+7422
0 0.+12152"40" "0".0"0"0"0"0" 0 )0.+12152"40"
)0.0202020202 0 0 0.0202020202 0
0 )0.00124+7422 )0.+12152"40" 0 0.00124+7422
0 0.+12152"40" 202.0202020202 0 )0.+12152"40"
0.70710+7512 )0.70710+7512 0 0 0
0.70710+7512 0.70710+7512 0 0 0
0 0 1 0 0
0 0 0 0.70710+7512 )0.70710+7512
0 0 0 0.70710+7512 0.70710+7512
0 0 0 0 0
- g4 = - 4
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c 3c d 3d
0.01072 )0.00*! 0."425 )0.01072 0.00*!
)0.00*! 0.01072 0."425 0.00*! )0.01072
0."425 0."425 "0".0"0" )0."425 )0."425
)0.01072 0.00*! )0."425 0.01072 )0.00*!0.00*! )0.01072 )0."425 )0.00*! 0.01072
0."425 0."425 202.0202 )0."425 )0."425
θc
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0
)+'200('!00(
**0
2'200('!00(
**0
0
)+'200('!00(
**0
"'200('!00(
**0
0 *702**000 *50100
)0 +12152"40"
2
2
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0
0
0
0
0
1
0 *702**000 *50100
)0.+12152"40"
202.0202020202
0
)0.+12152"40"
"0".0"0"0"0"0"
0 0.01"25"*5! 0.00057"!017 0."425754"5 )0.01"25"*5!
0 )0.01"25"*5! 0.00057"!017 0."425754"5 0.01"25"*5!
0 0 0.+12152"40" "0".0"0"0" 0
0 )0.01"25"*5! )0.00057"!017 )0."425754"5 0.01"25"*5!
0 0.01"25"*5! )0.00057"!017 )0."425754"5 )0.01"25"*5!
1 0 0 +12152"40" 202 020202 0
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θd
)0."425 c
)0."425 3c
202.0202
)0."425 d)0."425 3d
"0".0"0"
θc
θd
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)0.00057"!02 )0."425754"5
)0.00057"!02 )0."425754"5
)0.+12152"4 202.020202
0.00057"!02 )0."425754"5
0.00057"!02 )0."425754"5
0 +12152"4 "0" 0"0"0"
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a 3a a 3 c 3c d 3d
0.022 0 0 0 )0.022 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 """.""" 0.7" 0 221."51 0 0 0 0 0
0 0 0.7" 0.021+" 0 0.7" )0.02 0 0 0 0
)0.022 0 0 0 0.0242 0.+ 0 )0.0012 0.+ 0 0
0 0 221."51 0.7" 0.+ 5"2.*+" 0 )0.+ 200 0 00 0 0 )0.02 0 0 0.04072 )0.00*! 0."425 )0.01072 0.00*!
0 0 0 0 )0.0012 )0.+ )0.00*! 0.011*2 )0.1+72 0.00*! )0.01072
0 0 0 0 0.+ 200 0."425 )0.1+72 50".0"0" )0."425 )0."425
0 0 0 0 0 0 )0.01072 0.00*! )0."425 0.01072 )0.00*!
0 0 0 0 0 0 0.00*! )0.01072 )0."425 )0.00*! 0.01072
0 0 0 0 0 0 0."425 0."425 202.0202 )0."425 )0."425
θ θc
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θd
0 a
0 3a
0
0
0 3
0 θb)0."425 c
)0."425 3c
202.0202
)0."425 d
)0."425 3d
"0".0"0"
θa
θc
θd
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KONDISI BATAS
[! = [K! ["!
;a =
<a = A3
>a = >A
; = 0
< = )1/2 q.l
> = 1/2.q.l
;c = 0<c = )1/2 q.l
>c = 1/2.q.l
;d = D?
<d = D3
>d = >D
a = 03a = 0
a = 0
= Ada
3 = Ada
= Ada
c = Ada
3c Ada
A
B C
P
#A$
#D
#A%
&A
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D
q
#D%
&D
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3 c 3c a 3a a
0 0.021+" 0 0.7" )0.02 0 0 0 0 0.7"
)1/2 q.l 0 0.0242 0.+ 0 )0.0012 0.+ )0.022 0 01/2 q.l 0.7" 0.+ 5"2.*+" 0 )0.+ 200 0 0 221."51
0 )0.02 0 0 0.04072 )0.00*! 0."425 0 0 0
1/2 q.l 0 )0.0012 )0.+ )0.00*! 0.011*2 )0.1+72 0 0 0
)1/2 q.l = 0 )0.+ 200 0."425 )0.1+72 50".0"0" 0 0 0
A? 0 0 0 0 0 0.022 0 0
A3 0 0 0 0 0 0 0 0 0
>A 0.7" 0 221."51 0 0 0 0 0 """."""
D? 0 0 0 )0.01072 0.00*! )0."425 0 0 0
D3 0 0 0 0.00*! )0.01072 )0."425 0 0 0
>D 0 0 0 0."425 0."425 202.0202 0 0 0
θ θc
2
2
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d 3d θd
0 0 0
0 0 0 30 0 0 θb
)0.01072 0.00*! )0."425 c
0.00*! )0.01072 )0."425 3c
)0."425 )0."425 202.0202
0 0 0 a
0 0 0 3a
0 0 0
)0.00*! 0.01072 )0."425 d
)0.00*! 0.01072 )0."425 3d
)0."425 )0."425 "0".0"0"
θc
θa
θd