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Soal
ya P1 dan P ditengah bentang. Diumpul 1!.1".2"15
dimana P1= #" $, P= 1"" $, %= 12m, %1= 1!cm, & = '2""cm!
(itung :
)a*ab,
iti+a+i -lemen
-lemena b c d
+atuan12 2/ /! !5
- 2/5""""" 2/5""""" 2/5""""" 2/5"""""
% ' ' 0 0 m
& '2"" '2"" '2"" '2"" cm!
2. Menentuan mati+ eauan loal %oal = global
= -& 12 6L -12 6L
6L .-6L
-12 .-6L 12 .-6L
6L
a = b
3a = 2!1.'1!2#0 12 42 -12 42 =
42 196 -42 98
-12 -42 12 -42
42 98 -42 196
c= d
c = 2#2 12 36 -12 36
36 144 -36 72
-12 -36 12 -36
36 72 -36 144
/. Menentuan mati+ eauan +tutu
kN/m2
L3 4L2 2L2
2L2 .-6L2 4L2
%1
P 1P
%
14
1""$ #"$
12
12
/!
a b c d
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f = d
f1 = a11d14 a12d2
f2 = a21d1 4 a224 b11d24 b12d/
f/ = b21d24 b224 c11d/ 4 c12d!
f! = c21d/4 c224 d11d!4 d12d5f5 = d21d!4 d22d5
f1 a11 a12 " " "
f2 a21 a224b11 b12 " "
f/ = " b21 b224c11 c12 "
f! " " c21 c224d11 d12
f5 " " " d21 d22
1 26"".5'1! 1"152 26"".5'1 1"152 "
M1 1"152 !'/'0 1"152 2/0## "
2 26"".5'1 1"152 5#"1.1!26 " 26"".5'1
M2 1"152 2/0## " 6!'52 1"152
/ = " " 26"".5'1 1"152 02#!.5'1!
M/ " " 1"152 2/0## "
! " " " " //#!
M! " " " " 1"152
5 " " " " "
M5 " " " " "
!. Menentuan Boundy 7ondition
dy1 = " 2 = 1"" $
dy/ = " ! = #" $
dy5 "
" 26"".5'1! 1"152 26"".5'1 1"152 "
0 10152 4 7376 -10152 23688 0
-100 -2900.57 -10152 5801.143 0 -2900.57
0 10152 23688 0 94752 -10152
" = " " 26"".5'1 1"152 02#!.5'1!
0 0 0 10152 23688 0
-80 0 0 0 0 -3384
0 0 0 0 0 10152
" " " " " "
" " 0 0 0 "
" !'/'0 1"152 2/0## " "
1"" 1"152 5#"1.1!26 " 1"152 "
" 2/0## " 6!'52 2/0## "
" = " 1"152 2/0## #'6#! 1"152
#" " " " 1"152 0'0#
" " " " 2"/"! "
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" " " " " 1"152
81 "."1"##5 ad
dy2 "."!#525 m
82 "."""6'2' ad
8/ = ".""066/' ad
dy! ".""!65 m8! ".""2/52 ad
85 ".""2!1// ad
9amba Di+placement
5. Menentuan ea+i peletaan
1 26"".5'1! 1"152 26"".5'1 1"152 "
M1 1"152 !'/'0 1"152 2/0## "
2 26"".5'1 1"152 5#"1.1!26 " 26"".5'1
M2 1"152 2/0## " 6!'52 1"152
/ = " " 26"".5'1 1"152 02#!.5'1!
M/ " " 1"152 2/0## "
! " " " " //#!
M! " " " " 1"152
5 " " " " "
M5 " " " " "
1 !".125 $
M1 /.61-"1! $m
2 1"" $
M2 5.0#-"1! 3$m
/ = 6".25 $
M/ !.20-"1! $m
! #" $
M! '.1-"15 $m
5 10.125 $
M5 !.20-"1! $m
9amba %intang
8/81
dy2dy!
82
8!
85
4
4
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9amba Momen
4
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26"".5'1! 1"152 26"".5'1 1"152
1"152 !'/'0 1"152 2/0##
26"".5'1 1"152 26"".5'1! 1"152
1"152 2/0## 1"152 !'/'0
//#! 1"152 //#! 1"152
1"152 !"0"# 1"152 2"/"!
//#! 1"152 //#! 1"152
1"152 2"/"! 1"152 !"0"#
5
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d1
d2
d/
d!
d5
" " " " " dy1
" " " " " 81
1"152 " " " " dy2
2/0## " " " " 82
" //#! 1"152 " " dy/
#'6#! 1"152 !"0"# " " 8/
1"152 0'0# " //#! 1"152 dy!
2"/"! " #1210 1"152 2"/"! 8!
" //#! 1"152 //#! 1"152 dy5
" 1"152 2"/"! 1"152 !"0"# 85
" " " " " dy1
0 0 0 0 0 θ1
10152 0 0 0 0 dy2
23688 0 0 0 0 θ2
" //#! 1"152 " " dy/
87984 10152 40608 0 0 θ3
-10152 6768 0 -3384 10152 dy4
20304 0 81216 -10152 20304 θ4
" //#! 1"152 //#! 1"152 dy5
0 10152 20304 1"152 !"0"# 85
" " 81
" " dy2
" " 82
!"0"# " 8/
" 1"152 dy!
#1210 2"/"! 8!
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2"/"! !"0"# 85
" " " " " "
" " " " " "."1"##5
1"152 " " " " "."!#525
2/0## " " " " "."""6'2'
" //#! 1"152 " " "
#'6#! 1"152 !"0"# " " ".""066/'
1"152 0'0# " //#! 1"152 ".""!65
2"/"! " #1210 1"152 2"/"! ".""2/52
" //#! 1"152 //#! 1"152 "
" 1"152 2"/"! 1"152 !"0"# ".""2!1//
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