Kiki Struktur Balok

8/17/2019 Kiki Struktur Balok

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BATANG 1

B1= 46 T1= 1

B2= 1 T2= 46

B3= 46 T3= 1

PERHITUNGAN TITIK BERAT

NO ELEMEN LUAS (Ai) 2i 3i 2i.Ai

1 I 46 47.5 23 2185

2 II 46 24 0.5 1104

3 III 46 0.5 23 23

Σ = Σ2 =

138 3312

0.0138

PERHITUNGAN INERSIA

NO ELEMEN I2i I3i 2i 3i

1 I 8111.333333 3.833333 23.5 7.5

2 II 3.833333333 8111.333 0 !15

3 III 8111.333333 3.833333 !23.5 7.5

Σ4 = Σ5 =

16226.5 811"

I2 TOTAL I3 TOTAL

31751.5 58"26

0.00058"26

PERHITUNGAN MO#ULUS PENAMPANG

24 23

$ %&%' $ %%*

2.4553E!005 0.00002562

BATANG 3

B1= 56 T1= 1

B2= 1 T2= 46

B3= 36 T3= 1

PERHITUNGAN TITIK BERAT

NO ELEMEN LUAS (Ai) 2i 3i 2i.Ai

1 I 56 47.5 28 2660

2 II 46 24 28 1104

3 III 36 0.5 45.5 18

Σ = Σ2 =


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138 3782

0.0138

PERHITUNGAN INERSIA

NO ELEMEN I2i I3i 2i 3i

1 I 14634.66667 4.666667 23.5 12.5

2 II 3.833333333 8111.333 0 12.53 III 3888 3 !23.5 30

Σ4 = Σ5 =

18526.5 811"

I2 TOTAL I3 TOTAL

66864 58"26

0.00058"26

PERHITUNGAN MO#ULUS PENAMPANG

20.5"4202" 27.4057"71

$ %&%' $ %%*

2.8613E!005 2.1501E!005


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B

B1= 56

B2= 1

B3= 26

PERHITUNGAN TITIK BE

3i.Ai 2 3 NO ELEMEN LUAS (Ai)

1058

24 15.5

1 I 56

23 2 II 46

1058 3 III 26

Σ3 = Σ =

213" 128

0.0128

PERHITUNGAN INERSI

2i+2.Ai 3i+2.Ai NO ELEMEN I2i

25403.5 2587.5 1 I 14634.66667

0 10350 2 II 3.833333333

25403.5 2587.5 3 III 1464.666667

Σ6 = Σ7 = Σ4 =

50807 15525 16103.16667

I2 TOTAL I3 TOTAL

482"0.66667 53402.66667

0.000534027

PERHITUNGAN MO#ULUS

18.4"21875 2".5078125

$ %&%' $ %%*

2.887"E!005 1.80"8E!005

3i.Ai 2 3

1568

27.4058 32.56522

1288

1638

Σ3 =


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44"4

2i+2.Ai 3i+2.Ai

30"26 8750

0 7187.51"881 32400

Σ6 = Σ7 =

50807 48337.5


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ATANG 2

T1= 1

T2= 46

T3= 1

AT

2i 3i 2i.Ai 3i.Ai 2 3

47.5 28 2660 1568

2".50781 30.53"06

24 28 1104 1288

0.5 40.5 13 1053

Σ2 = Σ3 =

3777 3"0"

I3i 2i 3i 2i+2.Ai 3i+2.Ai

4.666667 23.5 12.5 30"26 8750

8111.333 0 12.5 0 7187.5

2.166667 !23.5 25 14358.5 16250

Σ5 = Σ6 = Σ7 =

8118.167 45284.5 32187.5

PENAMPANG


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A. INPUT #ATA

I. IN,ORMASI TITIK KUMPUL

1.65

TITIK KUMPUL KOOR#INAT #A,TAR PENGE

- / /

1 0 4."5 1 1

2 8.25 4."5 0 1

3 14.85 0 1 1

4 24.75 3.3 1 1

II. IN,ORMASI BATANG

BATANG TITIK TITIK K PANANG () INERSIA (+4)

1 1 2 8.25 0.00058"26

2 2 3 8.25 0.0005340267

3 3 4 10.43551627" 0.00058"26

B%&% 1

1 = 0 1 = 4."5

K1 = 8.25 K1 = 4."5

L1 = 8.25

1 = 1

1 = 0

B%&% 2

2 = 8.25 2= 4."5

K2 = 14.85 K2= 0

L2 = 8.25

2 = 0.8

2 = !0.6

B%&% 3

3 = 14.85 3= 0

K3 = 24.75 K3 = 3.3

P*i&/%K9'i/' A%*


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L3= 10.43552

3 = 0."48683

3 = 0.316228

M%&i:' K:%:/%

B%&% 1 EA;L 334378.2

12EI;L+3 2517.324

6EI;L+2 10383."6

4EI;L 57111.7"

2EI;L 28555."

P&/%

B%&% 2 EA;L 310147."

12EI;L+3 2281.367

6EI;L+2 "410.63" B%&% 1 (KM1)

4EI;L 5.18E04

2EI;L 2.5"E04

B%&% 3 EA;L 26434".2

12EI;L+3 1243.825

6EI;L+2 648"."77

4EI;L 4.52E04

2EI;L 2.26E04

B%&% 2 (KM2)

B%&% 3 (KM3)


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ANGAN

> P9?&i P%?%

1 E 2.00E08

0 , 248211.3

0 ,/ 3""8"6

1

MO#ULUS MIN. (+3) LUAS (+2) KOSINUS ARAH

2.45525E!005 0.0138 1 0

2.887850161"4"E!005 0.0128 0.8 !0.6

2.8612"06403"4E!005 0.0138 0."48683 0.316228

P&/% M%&i:' R9&%'i %&% (RT)

1 2 3

1 0

0 1

B%&% 1 RT1 = 1

1 2 3

0.8 !0.6

0.6 0.8

B%&% 2 RT2 = 1


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1 2 3

0."48683 0.316228

!0.31623 0."48683

B%&% 3 RT3 = 1

M%&i:' K:%:/% S// L9:%<

1 2 3 4 5 6

334378.181818182 !334378

2517.32422" 10383."6 !2517.32 10383."6

10383."6245 57111.7" !10384 28555."

!334378.181818182 334378.2

!2517.32423 !10384 2517.324 !10384

10383."6245 28555." !10384 57111.7"

1 2 3 4 5 6

310147.87878787" !310148

2281.366"13 "410.63" !2281.37 "410.63"

"410.638516 5.18E04 !"410.64 2.5"E04

!310147.87878787" 310147."

!2281.366"1 !"410.64 2281.367 !"410.64

"410.638516 2.5"E04 !"410.64 5.18E04

1 2 3 4 5 6

26434".16360283" !26434"

1243.824715 648"."77 !1243.82 648"."77

648"."7652" 4.52E04 !648"."8 2.26E04

!26434".16360283" 26434".2

!1243.82471 !648"."8 1243.825 !648"."8

648"."7652" 2.26E04 !648"."8 4.52E04


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P&/% M%&i:' T%

4 5 6 1 2

1 1 0

2 0 1

3 RT1 =

1 0 4

0 1 5

1 6

4 5 6 1 2

1 0.8 0.6

2 !0.6 0.8

3 RT2 =

0.8 !0.6 4

0.6 0.8 5

1 6


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4 5 6 1 2

1 0."48683 !0.31623

2 0.316228 0."48683

3 RT3 =

0."48683 0.316228 4

!0.31623 0."48683 5

1 6

P&/% M%&i:' K:%:/%

1

2

3

4

5

6

1

2

3

4

5

6

1

2

3

4

5

6


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'?9' (R Ti)

3 4 5 6

1

2

1 3

1 0 4

0 1 5

1 6

3 4 5 6

1

2

1 3

0.8 0.6 4

!0.6 0.8 5

1 6


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3 4 5 6

1

2

1 3

0."48683 !0.31623 4

0.316228 0."48683 5

1 6

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