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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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