Dinamika Struktur Abraham Adi Narwastu 120523417724

7/23/2019 Dinamika Struktur Abraham Adi Narwastu 120523417724

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JEPIT - JEPIT

Diketahui:

L 120 inci

EI 1.E+09 lb inch2

W 5000 lb0.5 inci

15 inci/ detik

t 0.05 detik

g 386

12.95

kekakuan 13888.89

k 111111.11

! 92.62

k"e#i$ien 1/8 0.125

Waktu %t& 'a(a %)& %lb& Lendutan %inci&

0.00 69**.**** 0.5000

0.05 280,.80** 0.2022

0.10 6*86.8629 0.*6,1

0.15 386*.9538 0.2,83

0.20 585,.0000 0.*21,

0.25 *819.*560 0.3*,0

0.30 50,1.58*1 0.3652

0.35 56*5.9606 0.*065

0.*0 *151.*,*6 0.29890.*5 6322.51,1 0.*552

0.50 3121.1082 0.22*,

0.55 6831.15,1 0.*918

0.60 200,.8*99 0.1**6

0.65 ,158.3,19 0.515*

0.,0 8*1.2661 0.0606

0.,5 ,295.*,11 0.5253

0.80 3*,.660* 0.0250

0.85 ,238.813, 0.5212

0.90 152,.3536 0.11000.95 6989.90*3 0.5033

1.00 2666.*826 0.1920

1.05 6555.3536 0.*,20

1.10 3,3*.,939 0.2689

1.15 59*6.,02, 0.*282

1.20 *,03.91*, 0.338,

1.25 5180.1163 0.3,30

1.30 55*8.1066 0.3995

1.35 *2,5.9538 0.30,9

1.*0 62**.9*91 0.**961.*5 3258.2285 0.23*6

1.50 6,,5.9353 0.*8,9

(0

-0



2.05 3603.0051 0.259*

2.10 6033.811, 0.*3**

2.15 *586.3218 0.3302

2.20 5286.3891 0.3806

2.25 5**,.8328 0.3922

2.30 *398.5681 0.316,

2.35 616*.65,5 0.**392.*0 3393.92,, 0.2***

2.*5 6,1,.,583 0.*83,

2.50 2299.1*9, 0.1655

2.55 ,092.**55 0.510,

2.60 11*3.3098 0.0823

2.65 ,2,8.,682 0.52*1

2.,0 *2.89*, 0.0031

2.,5 ,2,1.,,,, 0.5236

2.80 122,.9600 0.088*

2.85 ,0,1.6599 0.50922.90 2380.*125 0.1,1*

2.95 6683.,29* 0.*812

3.00 3*69.6**8 0.2*98

0.2,62305699

0.5255,6*168

Lendutan a 0.5253

'a(a a ,295.*,11

eceatan a *8.6,61

"en a 109*32.06,1

( +-ₒ /!ₒ

%( +%- /!&&1/2ₒ ₒ



eceatan %inch/ dt& 4eceatan "en

15.0000 *288.8889 10*166.666,

**.9319 1,3*.1000 *211,.0656

22.3225 *006.2865 9,302.9*31

*1.29*1 2386.9955 5,9,*.30,6

29.0521 361,.2832 8,855.0005

36.5595 29,6.*960 ,2291.8396

35.0101 3132.210* ,60,3.,619

30.85*0 3*86.9*53 8*689.*096

*0.0383 2563.950, 622,2.11912*.3291 390*.,866 9*83,.,569

**.0031 192,.596* *6816.6230

1,.1580 *218.9226 102*6,.3568

*6.,993 12*0.0*81 3011,.,*81

9.5312 **21.0105 10,3,5.5,85

*8.3526 519.5659 12618.991*

1.6513 *505.6830 109*32.06,1

*8.621, 21*.,151 521*.906,

6.2,25 **,0.6913 108582.2055

*,.5995 9*3.2936 22910.30*,1*.029, *316.96*9 10*8*8.56*6

*5.3131 16*6.819, 3999,.239,

21.*1*3 *0*8.586* 98330.30**

*1.8233 2306.608, 56021.908*

28.2301 36,2.6836 89200.5399

3,.222, 2905.13,, ,0558.,199

3*.2962 3199.2398 ,,,01.,*38

31.6335 3*26.5106 83221.5985

39.*51* 26*0.8291 6*139.3069

25.20*2 3856.8806 936,*.23,2*3.5589 2012.2819 *88,3.*2,0

18.1055 *18*.81,, 101639.0298



*2.33*2 2225.2159 5*0*5.0,60

2,.3958 3,26.*821 9050,.1,55

3,.8696 2832.5123 68,9*.82,0

33.56,* 326*.8,39 ,9295.83,1

32.3992 336*.5815 81,1,.*913

38.8*,* 2,16.5556 659,8.5212

26.0683 380,.2925 92*69.862,*3.095, 2096.089, 50908.9155

19.0*51 *1*8.88,5 100,66.3,*2

*6.199* 1*19.95*9 3**8,.2*59

11.5161 *380.29** 106386.6832

*8.0,62 ,06.1081 1,1*9.6*,2

3.6812 **95.36,2 109181.5226

*8.6,61 26.*918 6*3.*202

*.251* **91.0*99 1090,6.6659

*,.9833 ,58.3881 18*19.3993

12.0,11 *36,.*5,1 1060,*.89,8*6.0161 1*,0.1*2, 35,06.18,0

19.5,03 *12,.8,13 100255.9*0,

*2.826, 21*2.8526 520**.6,2*



JEPIT - SENDI

Diketahui:

L 120 inci

EI 1.E+09 lb inch2

W 5000 lb0.5 inci

15 inci/ detik

t 0.05 detik

g 386

12.95

kekakuan 8680.56

k 69***.**

! ,3.22

k"e#i$ien 1/8 0.125


0.00 *3*0.2,,8 0.5000

0.05 *650.5658 0.535,

0.10 3,3*.2505 0.*302

0.15 1833.0132 0.2112

0.20 551.68,8 0.0636

0.25 2,90.8,92 0.3215

0.30 *293.9662 0.*9*,

0.35 *66*.50*3 0.53,*

0.*0 380*.,628 0.*3830.*5 19*1.501* 0.223,

0.50 *33.83,8 0.0500

0.55 269*.,508 0.310*

0.60 *2**.913, 0.*890

0.65 *6,5.*65* 0.5386

0.,0 38,2.8*6* 0.**62

0.,5 20*8.,503 0.2360

0.80 315.,110 0.036*

0.85 2596.9023 0.2992

0.90 *193.151* 0.*8310.95 *683.**19 0.5395

1.00 3938.*5,8 0.*53,

1.05 215*.691* 0.2*82

1.10 19,.3826 0.022,

1.15 2*9,.3961 0.28,,

1.20 *138.,126 0.*,68

1.25 *688.*288 0.5*01

1.30 *001.5552 0.*610

1.35 2259.25,1 0.2603

1.*0 ,8.9281 0.00911.*5 2396.2958 0.2,61

1.50 *081.6319 0.*,02

(0

-0



2.05 2189.5,1, 0.2522

2.10 3959.6922 0.*562

2.15 *685.*29, 0.5398

2.20 *1,5.368* 0.*810

2.25 256*.0388 0.295*

2.30 2,6.*3*8 0.0318

2.35 208*.0,99 0.2*012.*0 389*.9110 0.**8,

2.*5 *6,8.**55 0.5390

2.50 *228.0232 0.*8,1

2.55 2662.***8 0.306,

2.60 39*.63,0 0.0*55

2.65 19,,.25,, 0.22,8

2.,0 382,.6*3, 0.**09

2.,5 *668.*,*9 0.53,8

2.80 *2,,.9,92 0.*928

2.85 2,59.1512 0.31,92.90 512.58,2 0.0591

2.95 1869.1,35 0.2153

3.00 3,5,.9330 0.*329

0.2919689119

0.5*03*1*,,1

Lendutan a 0.5*03

'a(a a *690.*229

eceatan a 39.5622

"en a ,0356.3**0

( +-ₒ /!ₒ

%( +%- /!&&1/2ₒ ₒ




15.0000 2680.5556 6510*.166,

5.1*9* 28,2.189* 69,58.*868

23.9*06 2306.2,31 56013.,568

36.*1,* 1132.0690 2,*95.198*

39.2890 3*0.,22* 82,5.3168

31.,9,9 1,23.6*,0 *1863.18,6

15.9201 2651.9535 6**09.*931

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23.13,2 23*9.8215 5,0,1.**1*36.0152 1199.0,13 29122.521*

39.39*0 26,.9382 650,.56,6

32.3825 166*.2,81 *0*21.262*

16.8300 2621.658, 636,3.,0*9

3.161* 288,.56,* ,0131.9803

22.3191 2391.8699 58092.695*

35.5900 1265.3082 30,31.25*5

39.*,39 19*.9831 *,35.66**

32.9*6* 1603.8*69 38953.5350

1,.,292 2589.6903 6289,.2,152.16*1 2892.*93, ,0251.6281

21.*86, 2*32.3915 590,6.8668

35.1*20 1330.,3,* 32320.3,09

39.5285 121.9035 2960.,383

33.*893 15*2.3919 3,*60.9*22

18.61,1 2556.0689 62080.6888

1.165* 2895.5,36 ,0326.*319

20.6*05 2*,1.3605 60023.32,5

3*.6,1, 1395.31,2 33888.8560

39.5580 *8.,*60 1183.92223*.0108 1*,9.9523 359**.*368

19.*931 2520.8158 6122*.*,,8



3*.9883 1352.2,95 328*3.5,51

21.20,2 2**5.5059 59395.382*

1.8326 2893.,21* ,0281.**5*

18.0253 25,8.,0,5 62630.5261

33.1290 1583.550* 38*60.5819

39.*9*8 1,0.,261 *1*6.5218

35.**3, 128,.12,, 31261.198222.0**2 2*05.*9,1 58*23.6655

2.830* 2889.*0,9 ,01,6.682*

1,.1299 2611.22,2 63*20.3*86

32.5,21 16**.3259 39936.6,1*

39.*233 2*3.,2,8 5919.55**

35.8,65 1221.15** 29658.8662

22.86,1 2363.952, 5,*1*.65*9

3.8265 2883.2501 ,002,.1233

16.223* 26*2.0,99 6*169.68,8

31.99*3 1,0*.0518 *138,.268039.3266 316.5,39 ,688.808*

36.286* 115*.*015 2803,.6019

23.6,55 2320.899* 56368.99*5



PORTAL JEPIT - JEPIT

Diketahui:

L 120 inci

EI 1.E+09 lb inch2

W 5000 lb0.5inci

15 inci/ detik

t 0.05 detik

g 386

12.95

k 13888.89

! 32.,*

k"e#i$ien 1/8 0.125


0.00 69**.**** 0.5000

0.05 588,.2169 0.*239

0.10 ,,26.2082 0.5563

0.15 *861.253* 0.3500

0.20 83,1.,3*3 0.6028

0.25 3,*9.5,05 0.2,00

0.30 8869.6399 0.6386

0.35 25,1.,,0, 0.1852

0.*0 9211.1*5* 0.66320.*5 13*8.6223 0.09,1

0.50 9390.2290 0.6,61

0.55 101.693* 0.00,3

0.60 9*03.,329 0.6,,1

0.65 11*,.0286 0.0826

0.,0 9251.*189 0.6661

0.,5 23,5.52*9 0.1,10

0.80 8935.9,29 0.6*3*

0.85 3562.1331 0.2565

0.90 8*62.95,1 0.60930.95 *685.9295 0.33,*

1.00 ,8*0.,123 0.56*5

1.05 5,2,.0980 0.*12*

1.10 ,080.210, 0.5098

1.15 666,.2,95 0.*800

1.20 619*.862* 0.**60

1.25 ,*89.8955 0.5393

1.30 5200.2,89 0.3,**

1.35 8180.**08 0.5890

1.*0 *113.99,8 0.29621.*5 8,26.,38, 0.6283

1.50 2955.1,38 0.2128

(0

-0



2.05 8631.2*,8 0.621*

2.10 *333.8589 0.3120

2.15 8055.,5*5 0.5800

2.20 5*03.5829 0.3891

2.25 ,338.2125 0.528*

2.30 63,8.02** 0.*592

2.35 6*91.2,** 0.*6,*2.*0 ,2*0.0010 0.5213

2.*5 5529.8,** 0.3982

2.50 ,9,*.3133 0.5,*2

2.55 **,0.9650 0.3219

2.60 8568.0129 0.6169

2.65 3333.2182 0.2*00

2.,0 9010.6311 0.6*88

2.,5 2136.6962 0.1538

2.80 929*.3630 0.6692

2.85 902.*9,3 0.06502.90 9*1*.205, 0.6,,8

2.95 3*,.615* 0.0250

3.00 9368.0*58 0.6,*5

Lendutan a 0.6,81

'a(a a 9*1,.50,9

eceatan a 22.2036

"en a 1*1262.618,




15.0000 536.1111 10*166.666,

1,.3322 *5*.*931 88308.25*0

12.6985 596.*633 115893.1233

19.018* 3,5.2888 ,2918.8015

10.1,30 6*6.29,9 1255,6.0138

20.3693 289.*668 562*3.55,6

,.*682 68*.,362 1330**.5981

21.3610 198.5*0, 385,6.5601

*.6316 ,11.100* 13816,.181121.9,60 10*.1136 20229.33*6

1.,13* ,2*.925, 1*0853.*352

22.2036 ,.850, 1525.*013

1.2350 ,25.9682 1*1055.9933

22.0396 88.5506 1,205.*29,

*.1616 ,1*.2095 138,,1.2836

21.*869 183.3905 35632.8,*0

,.01*9 689.85,1 13*039.5928

20.555* 2,*.996, 53*31.9969

9.,*** 653.3*03 1269**.355819.2615 361.,538 ,0288.9*30

12.3022 605.3030 11,610.68*3

1,.62,9 **2.1320 85906.*,05

1*.6*30 5*6.5923 106203.1606

15.683* 51*.,1*0 100009.1925

16.,256 *,8.2*3* 92922.9359

13.*62* 5,8.2199 1123*8.*328

18.5132 *01.*615 ,800*.1830

11.00*1 631.5300 122,06.611*

19.9,*5 31,.6006 61,09.96,28.351, 6,3.,0*2 130901.080*

21.0835 228.139* **32,.60,5



8.8861 666.3323 129*68.,1,3

19.,1** 33*.5,39 6500,.88*1

11.50*0 621.90*2 120836.31,8

18.186, *1,.1566 81053.,*36

13.9190 566.5100 1100,3.18,9

16.338* *92.3835 956,0.3666

16.0886 501.126* 9,369.11611*.2020 558.9281 108600.0155

1,.9,*5 *26.9063 829*8.115,

11.8152 615.61,0 11961*.6991

19.5*3* 3*5.1585 6,06*.*,50

9.2200 661.*506 128520.193*

20.,6,8 25,.32** *9998.2,3*

6.*623 695.620, 135159.*661

21.6259 16*.9529 32050.**25

3.5906 ,1,.52*8 139*15.**5,

22.102, 69.6,28 1353,.*5990.6555 ,26.,,6, 1*1213.0855

22.189, 26.8359 521*.231*

2.2910 ,23.2131 1*0520.68,5



PORTAL JEPIT - SENDI

Diketahui:

L 120 inci

EI 1.E+09 lb inch2

W 5000 lb0.5inci

15 inci/ detik

t 0.05 detik

g 386

12.95

k 8680.56

! 25.89

k"e#i$ien 1/8 0.125


0.00 *3*0.2,,8 0.5000

0.05 6023.5125 0.6939

0.10 1052.2030 0.1212

0.15 659,.8820 0.,601

0.20 25*9.*0*9 0.293,

0.25 5206.2299 0.5998

0.30 5391.3*69 0.6211

0.35 2263.23,* 0.260,

0.*0 6626.,8,9 0.,63*0.*5 135*.1*93 0.1560

0.50 588,.5939 0.6,83

0.55 *568.0298 0.5262

0.60 339*.0282 0.3910

0.65 6*20.,393 0.,39,

0.,0 110.8821 0.0128

0.,5 6360.211, 0.,32,

0.80 3582.,520 0.*12,

0.85 **0*.*829 0.50,*

0.90 598,.0*18 0.689,0.95 1136.3165 0.1309

1.00 660,.326, 0.,612

1.05 2*,0.**69 0.28*6

1.10 5258.,,56 0.6058

1.15 53*1.0,22 0.6153

1.20 23*3.226, 0.2699

1.25 6620.1,,2 0.,626

1.30 12,0.551* 0.1*6*

1.35 5926.61,0 0.682,

1.*0 *505.,336 0.51911.*5 3*6,.05,2 0.399*

1.50 6398.30,, 0.,3,1

(0

-0



2.05 2*22.8299 0.2,91

2.10 6612.*,5, 0.,618

2.15 1186.,**2 0.136,

2.20 596*.663, 0.68,1

2.25 ***2.6950 0.5118

2.30 3539.5150 0.*0,8

2.35 63,*.8219 0.,3**2.*0 59.6698 0.0069

2.*5 6*0,.39*0 0.,381

2.50 3*3,.955, 0.3961

2.55 *530.,05, 0.5219

2.60 5911.1*,1 0.6810

2.65 1303.9681 0.1502

2.,0 6622.9*85 0.,630

2.,5 2311.3228 0.2663

2.80 5361.2590 0.61,6

2.85 523,.8912 0.603*2.90 2502.03*0 0.2882

2.95 6603.68*8 0.,60,

3.00 1102.,*1* 0.12,0

Lendutan a 0.,630

'a(a a 6622.9*85

eceatan a 19.811,

"en a 993**.22,9




15.0000 335.069* 6510*.166,

8.3580 *65.0152 90352.68,5

19.562* 81.2301 15,83.0***

2.3206 509.3565 98968.230*

18.295, 196.81*1 382*1.0,30

12.30,, *01.9209 ,8093.**8,

11.5,,2 *16.2120 808,0.203,

18.62,* 1,*.,219 339*8.561*

1.*090 511.5880 99*01.81,919.3966 10*.5*03 20312.2398

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1,.0320 262.0190 50910.*236

5.088, *95.6811 96311.0891

19.809, 8.5601 1663.2312

5.,2*9 *91.0083 95*03.1,56

16.68*6 2,6.5885 53,*1.2802

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8.58,9 *62.1996 89805.626619.5205 8,.,236 1,0**.,*,8

2.06,8 510.0856 99109.8998

18.3918 190.,185 3,056.,032

12.10,* *05.9,,5 ,8881.6339

11.,82, *12.3308 80116.0832

18.5392 180.89,1 351*8.*009

1.6626 511.0,,, 99302.65,8

19.**68 98.0866 19058.2,15

8.9529 *5,.53*8 88899.255,

1*.5596 3*,.8*26 6,586.00*116.9006 26,.6568 52005.858,

5.33*0 *93.9*9* 959,*.6153



18.**80 18,.0*25 363*2.**91

1.9159 510.*831 9918,.1360

19.*938 91.616, 1,801.1629

8.,253 *60.*,20 89*69.9559

1*.,309 3*2.9,61 666*0.*256

16.,665 2,3.2506 53092.,250

5.5,85 *92.1362 95622.328119.811, *.6065 895.0*65

5.2361 *9*.6508 96110.9101

16.953* 265.*102 51569.3359

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9.0*3* *56.3*06 8866,.206,

19.*2,1 100.6663 19559.5218

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18.5,*8 1,8.*3*1 3*669.8*26

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12.18,6 *0*.3652 ,8568.36,318.3538 193.15,0 3,530.509*

2.1688 509.80*5 99055.2,1*

19.53,, 85.1316 165*1.1213



Nama Abraham Adi Narwastu

NIM 120523417724

Tugas ke 8

Getaran ebas Tan!a "edaman #$%nt%h 2&

' ( 20000 M!a

m ( 200 kg( 1)5 'I

( 2 *m

( 10 *m)det

b ( 0+15 m

h ( 0+2 m

( 4 m

( 2+5 m

I ( 0+0001

,ertan-aan

1 .ekakuan gabungan struktur

2+ /rekuensi aami struktur

3+ ,ersamaan gerak struktur

4+ ,ersamaan !eraihan setia! saat

5+ ,eraihan dan ke*e!atan !ada saat t ( 05 dt

+ ,eraihan maksimum

7+ Ga-a geser !ada saat !eraihan maksimum

8+ M%men guing !ada saat !eraihan maksimum

+ Tegangan maksimum !ada k%%m

awab

1+ .ekakuan gabungan struktur

k ( 1+150


( 7+124 rad)det

6 ( 12+1157

3+ ,ersamaan gerak strukturm9 : k- ( 0


k3

;0

<0

=1

=2

m4

> 10



5+ ,eraihan dan ke*e!atan !ada saat t ( 05 dtu#t& ( 1+557 *m

?#t& ( @85+1 *m)det

+ ,eraihan maksimum

( 2+0043 *m

( 20+043 mm


/#t& ( 1+18

/ma> ( 2+3230

8+ M%men !ada k%%m

kolom kiri :

M#t& ( 12+4175 Nmm Mma>

kolom kanan :

M#t& ( 15+844 Nmm Mma>


w ( 1000000

( 12+4175 N)mm

( 15+844 N)mm

Waktu Gaya Perpindahan Kecepatan Percepatan

#detik& / #t& N #*m& #*m)detik&

0+00 2.3180 2.0000 10+0000 @1150+0000

0+05 2+3230 2+0043 @0+1288 @1114+0

0+10 2+3177 1+8 @10+2570 @11588+82

uma>

> 104

> 104

Bkiri

Bkanan

#*m)detik2&



0+15 2+3023 1+84 @20+3400 @11511+3037

0+20 2+27 1+43 @30+3333 @11383+128

0+25 2+240 1+335 @40+127 @11204+7330

0+30 2+154 1+842 @4+8748 @107+02

0+35 2+1401 1+845 @5+3370 @10700+0

0+40 2+0754 1+707 @8+5373 @10377+2058

0+45 2+001 1+7270 @77+4353 @10007+7170+50 1+18 1+557 @85+1 @54+5872

0+55 1+8278 1+5770 @4+187 @138+875

0+0 1+728 1+414 @101+303 @842+8484

0+5 1+217 1+33 @10+2422 @8108+27

0+70 1+5078 1+300 @11+0722 @7538+753

0+75 1+3871 1+18 @122+301 @35+5805

0+80 1+204 1+0875 @128+182 @301+72

0+85 1+1280 0+733 @133+3808 @540+2175

0+0 0+08 0+8548 @138+0050 @453+7537

0+5 0+841 0+732 @142+0203 @4245+4341+00 0+7037 0+071 @145+402 @3518+302

1+05 0+5552 0+470 @148+15 @2775+822

1+10 0+4042 0+3488 @150+2504 @2021+004

1+15 0+2515 0+2170 @151+813 @1257+2804

1+20 0+07 0+0842 @152+4431 @488+004

1+25 @0+057 @0+048 @152+5324 283+4234

1+30 @0+2107 @0+1818 @151+488 1053+014

1+35 @0+338 @0+313 @150+4 181+1314

1+40 @0+5153 @0+444 @148+772 257+32

1+45 @0+4 @0+5734 @14+2011 3322+7742

1+50 @0+810 @0+ @142+811 4054+2537

1+55 @0+53 @0+8228 @13+1303 477+8478

1+0 @1+021 @0+423 @134+58 540+4084

1+5 @1+2258 @1+057 @12+071 128+8802

1+70 @1+3541 @1+183 @123+77 770+3144

1+75 @1+474 @1+2738 @117+74 7381+8812

1+80 @1+522 @1+3738 @111+1024 70+8827

1+85 @1+7010 @1+47 @103+152 8504+745

1+0 @1+8022 @1+5550 @+27 011+1274

1+5 @1+855 @1+355 @88+14 477+7375

2+00 @1+805 @1+7088 @7+7401 02+534

2+05 @2+057 @1+774 @70+28 10283+500

2+10 @2+123 @1+8325 @1+804 101+371

2+15 @2+1817 @1+8824 @52+4082 1008+24

2+20 @2+228 @1+23 @42+7803 1114+073

2+25 @2+281 @1+570 @32+37 11340+3

2+30 @2+24 @1+814 @23+0017 11482+225

2+35 @2+314 @1+71 @12+382 11573+138



2+40 @2+322 @2+0040 @2+817 11612.9925

2+45 @2+3203 @2+0020 7+3154 1101+154

2+50 @2+3078 @1+12 17+411 1153+0575

2+55 @2+2851 @1+71 27+4400 11425+54

2+0 @2+2523 @1+434 37+342 1121+7280

2+5 @2+20 @1+05 47+0810 11048+177

2+70 @2+1572 @1+812 5+114 10785+8212+75 @2+052 @1+8078 5+821 1047+0223

2+80 @2+0240 @1+743 74+8821 1011+374

2+85 @1+438 @1+772 83+5417 71+2080

2+0 @1+8551 @1+00 1+8328 275+022

2+5 @1+7582 @1+5170 +7188 871+07

3+00 @1+53 @1+427 10.16!9 827+75

Ga-a Ma>imum (

,er!indahan Ma>imum #-& (

.e*e!atan Ma>imum #C& (,er*e!atan Ma>imum #9& (

M%men Ma>imum #kiri& (

M%men Ma>imum #kanan& (

Tegangan Ma>imum #kiri& (

Tegangan Ma>imum #kanan& (



N)m



N

N

( 15+0323 Nmm

( 1+2414 Nmm

( 15+0323 N)mm

( 1+2414 N)mm

"omen #e$an$an

Kolom kiri Kolom kanan Kolom kiri Kolom kanan

N)m

15.0000 19.2000 15.0000 19.2000

15+0323 1+2414 15+0323 1+2414

14+83 1+178 14+83 1+178

Bma>

Bma>



14+881 1+0 14+881 1+0

14+7323 18+8573 14+7323 18+8573

14+5014 18+518 14+5014 18+518

14+205 18+1844 14+205 18+1844

13+840 17+727 13+840 17+727

13+4304 17+10 13+4304 17+10

12+525 1+572 12+525 1+57212+4175 15+844 12+4175 15+844

11+8277 15+135 11+8277 15+135

11+1857 14+3177 11+1857 14+3177

10+444 13+432 10+444 13+432

+758 12+4887 +758 12+4887

8+72 11+485 8+72 11+485

8+155 10+43 8+155 10+43

7+27 +343 7+27 +343

+4112 8+204 +4112 8+204

5+445 7+0330 5+445 7+03304+553 5+828 4+553 5+828

3+525 4+584 3+525 4+584

2+15 3+3480 2+15 3+3480

1+272 2+0828 1+272 2+0828

0+31 0+8084 0+31 0+8084

@0+38 @0+45 @0+38 @0+45

@1+33 @1+7454 @1+33 @1+7454

@2+3544 @3+013 @2+3544 @3+013

@3+3347 @4+285 @3+3347 @4+285

@4+3004 @5+5045 @4+3004 @5+5045

@5+2471 @+713 @5+2471 @+713

@+170 @7+884 @+170 @7+884

@7+070 @+0457 @7+070 @+0457

@7+321 @10+1531 @7+321 @10+1531

@8+723 @11+2157 @8+723 @11+2157

@+5538 @12+2288 @+5538 @12+2288

@10+3031 @13+1880 @10+3031 @13+1880

@11+0070 @14+080 @11+0070 @14+080

@11+24 @14+278 @11+24 @14+278

@12+23 @15+7008 @12+23 @15+7008

@12+811 @1+4045 @12+811 @1+4045

@13+303 @17+035 @13+303 @17+035

@13+7438 @17+521 @13+7438 @17+521

@14+1177 @18+0707 @14+1177 @18+0707

@14+423 @18+4 @14+423 @18+4

@14+773 @18+7870 @14+773 @18+7870

@14+805 @1+0215 @14+805 @1+0215

@14+782 @1+1721 @14+782 @1+1721



@15+028 @1+2381 @15+028 @1+2381

@15+0150 @1+212 @15+0150 @1+212

@14+341 @1+115 @14+341 @1+115

@14+7872 @18+27 @14+7872 @18+27

@14+5751 @18+52 @14+5751 @18+52

@14+288 @18+3024 @14+288 @18+3024

@13+53 @17+87 @13+53 @17+87@13+5583 @17+354 @13+5583 @17+354

@13+074 @1+747 @13+074 @1+747

@12+5788 @1+1008 @12+5788 @1+1008

@12+0047 @15+30 @12+0047 @15+30

@11+377 @14+533 @11+377 @14+533

@10+7003 @13+4 @10+7003 @13+4

2+3230 N

2+0043 *m

107+14 *m)detik1112+25

15+0323

1+2414

15+0323 N)m

1+2414 N)m

*m)detik2




NIM 120523417724

Tugas ke

Getaran ebas dengan redaman #$%nt%h 3&

' ( 20000 M!a

m ( 200 kg( 1)5 'I

( 2 *m

( 10 *m)det

D ( 5 E

b ( 0+15 m

h ( 0+2 m

( 4 m

( 2+5 m

,ertan-aan





5+ ,eraihan dan ke*e!atan !ada saat t ( 05 dt

+ ,eraihan maksimum


8+ M%men guing !ada saat !eraihan maksimum


awab

I ( 0+0001


k ( 1+150


( 7+124

( 7+027

6 ( 12+1005


m9 : d9 : k- ( 0


k3

;0

<0

=1

=2

m4

F



5+ ,eraihan dan ke*e!atan !ada saat t ($ ( 2+0134

( 0+141023

tan ( 0+1158

( +0

u%t& ( 0+252

'%t& ( @12+84

+ ,eraihan maksimum

( 2+0043

( 0+020043


/#t& ( 2+5075

/ma> ( 2322+42

8+ M%men !ada k%%m

kolom kiri :

M#t& ( 1+21 Nmm

kolom kanan :

M#t& ( 2+45 Nmm


w ( 1000000

( 1+21

( 2+45

e@Dt

uma>

Bkiri

Bkanan



Waktu Gaya Perpindahan Kecepatan

#detik& / #t& N #*m& #*m)detik&

0+000 2.3180 2.0000 10.0000

0+050 1+28 1+25 @0+1330+100 1+54 1+3758 @7+0552

0+150 1+3138 1+133 @11+5480

0+200 1+0777 0+28 @14+22

0+250 0+8800 0+753 @15+5832

0+300 0+7153 0+172 @15+837

0+350 0+5787 0+43 @15+711

0+400 0+458 0+401 @15+001

0+450 0+3730 0+3218 @14+0185

0+500 0+270 0+252 @12+84

0+550 0+2350 0+2028 @11+5080+00 0+1848 0+154 @10+4257

0+50 0+1442 0+1244 @+2373

0+700 0+111 0+03 @8+1142

0+750 0+085 0+073 @7+0733

0+800 0+04 0+050 @+1238

0+850 0+048 0+0420 @5+287

0+00 0+0358 0+030 @4+50

0+50 0+025 0+0223 @3+8345

1+000 0+0182 0+0157 @3+245

1+050 0+0124 0+0107 @2+73431+100 0+0080 0+00 @2+22

1+150 0+0047 0+0040 @1+135

1+200 0+0023 0+0020 @1+500

1+250 5+4877+'@04 4+734+'@04 @1+3154

1+300 @+448+'@04 @5+53+'@04 @1+0834

1+350 @1+438+'@03 @1+2415+'@03 @0+8884

1+400 @1+331+'@03 @1+7+'@03 @0+7252

1+450 @2+2058+'@03 @1+032+'@03 @0+582

1+500 @2+317+'@03 @1++'@03 @0+475

1+550 @2+315+'@03 @1+87+'@03 @0+3834

1+00 @2+2375+'@03 @1+30+'@03 @0+308

1+50 @2+1082+'@03 @1+810+'@03 @0+2442

1+700 @1+488+'@03 @1+815+'@03 @0+132

1+750 @1+7743+'@03 @1+530+'@03 @0+1518

1+800 @1+553+'@03 @1+374+'@03 @0+1184

1+850 @1+412+'@03 @1+2245+'@03 @0+01

1+00 @1+2511+'@03 @1+075+'@03 @0+0702

1+50 @1+041+'@03 @+43+'@04 @0+0532



2+000 @+43+'@04 @8+11+'@04 @0+038

2+050 @8+143+'@04 @7+0701+'@04 @0+023

2+100 @7+025+'@04 @+025+'@04 @0+0211

2+150 @5+18+'@04 @5+18+'@04 @0+0148

2+200 @5+082+'@04 @4+385+'@04 @0+0100

2+250 @4+20+'@04 @3+701+'@04 @0+004

2+300 @3+04+'@04 @3+1101+'@04 @0+00372+350 @3+0144+'@04 @2+00+'@04 @0+0018

2+400 @2+50+'@04 @2+153+'@04 @0+0004

2+450 @2+0800+'@04 @1+747+'@04 0+000

2+500 @1+715+'@04 @1+4810+'@04 0+0012

2+550 @1+4102+'@04 @1+217+'@04 0+001

2+00 @1+1534+'@04 @+514+'@05 0+001

2+50 @+303+'@05 @8+1020+'@05 0+001

2+700 @7+02+'@05 @+553+'@05 0+001

2+750 @+1357+'@05 @5+240+'@05 0+001

2+800 @4+221+'@05 @4+24+'@05 0+00182+850 @3+270+'@05 @3+3882+'@05 0+001

2+00 @3+114+'@05 @2+873+'@05 0+0015

2+50 @2+454+'@05 @2+1178+'@05 0+0013

3+000 @1+208+'@05 @1+573+'@05 0+0012

Ga-a Ma>imum (

(

(

(

M%men Ma>imum #kiri& (

M%men Ma>imum #kanan& (

Tegangan Ma>imum #kiri& (

Tegangan Ma>imum #kanan& (

,er!indahan Ma>imum #-&

.e*e!atan Ma>imum #C&

,er*e!atan Ma>imum #9&



( 0+05

N)m

rad)det

rad)det

> 10



0+5 dtin*h

*m 0+853478751

0+521127572

*m) dt

*m

m

N

N

Mma> ( 15+0323 Nmm

Mma> ( 1+2414 Nmm

N)mm ( 15+0323

N)mm ( 1+2414

Bma>

Bma>



Percepatan "omen #e

Kolom kiri Kolom kanan Kolom kiri

N)m

@11+124 15.0000 19.2000 15.0000

@32+41 12+485 15+5 12+485@71+040 10+3185 13+2077 10+3185

@481+0775 8+5017 10+8822 8+5017

@5280+074 +738 8+25 +738

@4281+5230 5+48 7+283 5+48

@3454+01 4+28 5+250 4+28

@2773+325 3+744 4+730 3+744

@2214+400 3+0141 3+8581 3+0141

@1758+0374 2+4134 3+082 2+4134

@138+7854 1+21 2+45 1+21

@108+354 1+5208 1+4 1+5208@844+4 1+15 1+5304 1+15

@50+715 0+332 1+145 0+332

@4+3881 0+7224 0+24 0+7224

@374+201 0+5540 0+701 0+5540

@278+055 0+4203 0+537 0+4203

@203+047 0+3147 0+4028 0+3147

@144+241 0+2320 0+2 0+2320

@100+313 0+17 0+2145 0+17

@+4571 0+1180 0+1510 0+1180

@41+07 0+0801 0+1025 0+0801@22+3481 0+0515 0+05 0+0515

@8+757 0+0302 0+0387 0+0302

0+72 0+0147 0+0188 0+0147

7+24 0+003 0+0045 0+003

11+4717 @0+0042 @0+0053 @0+0042

13+573 @0+003 @0+011 @0+003

15+182 @0+0125 @0+010 @0+0125

15.51! @0+0143 @0+0183 @0+0143

15+218 @0+0150 @0+012 @0+0150

14+500 @0+0150 @0+012 @0+0150

13+5234 @0+0145 @0+0185 @0+0145

12+3 @0+013 @0+0175 @0+013

11+214 @0+012 @0+011 @0+012

10+0270 @0+0115 @0+0147 @0+0115

8+877 @0+0103 @0+0132 @0+0103

7+732 @0+002 @0+0118 @0+002

+787 @0+0081 @0+0104 @0+0081

5+8753 @0+0071 @0+001 @0+0071

#*m)detik2&



5+0525 @0+001 @0+007 @0+001

4+3201 @0+0053 @0+008 @0+0053

3+740 @0+0045 @0+0058 @0+0045

3+1088 @0+003 @0+0050 @0+003

2+178 @0+0033 @0+0042 @0+0033

2+141 @0+0028 @0+003 @0+0028

1+8307 @0+0023 @0+0030 @0+00231+5207 @0+0020 @0+0025 @0+0020

1+257 @0+001 @0+0021 @0+001

1+0354 @0+0013 @0+0017 @0+0013

0+8487 @0+0011 @0+0014 @0+0011

0+2 @0+000 @0+0012 @0+000

0+525 @0+0007 @0+0010 @0+0007

0+4547 @0+000 @0+0008 @0+000

0+357 @0+0005 @0+000 @0+0005

0+22 @0+0004 @0+0005 @0+0004

0+2327 @0+0003 @0+0004 @0+00030+1840 @0+0003 @0+0003 @0+0003

0+1445 @0+0002 @0+0003 @0+0002

0+112 @0+0002 @0+0002 @0+0002

0+0871 @0+0001 @0+0002 @0+0001

2+3180 N

2+0000 *m

10+0000 *m)detik

15+5147

15+0000

1+2000

15+0000 N)m

1+2000 N)m

*m)detik2



N)mm

N)mm



an$an

Kolom kanan

19.2000

15+513+2077

10+8822

8+25

7+283

5+250

4+730

3+8581

3+082

2+45

1+41+5304

1+145

0+24

0+701

0+537

0+4028

0+2

0+2145

0+1510

0+10250+05

0+0387

0+0188

0+0045

@0+0053

@0+011

@0+010

@0+0183

@0+012

@0+012

@0+0185

@0+0175

@0+011

@0+0147

@0+0132

@0+0118

@0+0104

@0+001



@0+007

@0+008

@0+0058

@0+0050

@0+0042

@0+003

@0+0030@0+0025

@0+0021

@0+0017

@0+0014

@0+0012

@0+0010

@0+0008

@0+000

@0+0005

@0+0004@0+0003

@0+0003

@0+0002

@0+0002




NIM 120523417724

Tugas ke 10

H%a 2+2 Mari% ,a haaman 32

( 5000 b

'I ( 1000000000g ( 38

( 0+5 in*h

( 15 in*h)dt

= ( 120 in*h

t ( 2 dt

m ( 12+5338

D ( 1)10 (

.%eJsien 1)8 ( 0+125

$ ( 0+5435 in*h

( 2+1 rad) dt

( 2+15 rad) dt

k ( 111111+11 b in*h

6 ( 14+7

tan ( 0+420527038

( 23+07

( 0+00000000

( @0+48

( 0+3218

t = 2 dt

Waktu Gaya Perpindahan Kecepatan Percepatan

#detik& / #t& b #in*h& #in*h) dt&

0+00 55555.56 0.50 15.00 @45+74

0+05 3+047+':04 3+2442+'@01 +805+':00 @2+121+':03

0+10 2+3221+':04 2+08+'@01 2+817+':00 @1+844+':03

0+15 1+4857+':04 1+3371+'@01 7+1+'@01 @1+112+':03

0+20 +4420+':03 8+478+'@02 @1+503+'@01 @7+213+':02

0+25 5+18+':03 5+35+'@02 @4+32+'@01 @4+5111+':02

0+30 3+7401+':03 3+31+'@02 @5+54+'@01 @2+7837+':020+35 2+3311+':03 2+080+'@02 @5+03+'@01 @1+7058+':02

0+40 1+4433+':03 1+28+'@02 @4+137+'@01 @1+0375+':02

0+45 8+8747+':02 7+872+'@03 @3+1871+'@01 @+20+':01

0+50 5+4180+':02 4+872+'@03 @2+358+'@01 @3+7457+':01

0+55 3+2825+':02 2+542+'@03 @1+73+'@01 @2+217+':01

0+0 1+723+':02 1+7751+'@03 @1+151+'@01 @1+3013+':01

0+5 1+1744+':02 1+0570+'@03 @8+271+'@02 @7+5345+':00

b in*h4

in*h) dt2

-0

?0

F

e@Dt

$%s #Ft @ &

Hin #Ft @ &

#in*h) dt2&



0+70 +228+':01 +2305+'@04 @5+442+'@02 @4+28+':00

0+75 4+0338+':01 3+305+'@04 @3+8052+'@02 @2+403+':00

0+80 2+310+':01 2+0871+'@04 @2+5385+'@02 @1+3201+':00

0+85 1+3118+':01 1+180+'@04 @1+778+'@02 @7+011+'@01

0+0 7+2728+':00 +5455+'@05 @1+05+'@02 @3+577+'@01

0+5 3+20+':00 3+531+'@05 @7+144+'@03 @1+708+'@01

1+00 2+0488+':00 1+8440+'@05 @4+150+'@03 @7+287+'@021+05 1+0144+':00 +122+'@0 @2+583+'@03 @2+3510+'@02

1+10 4+113+'@01 4+1502+'@0 @1+8837+'@03 @7+0711+'@04

1+15 1+77+'@01 1+511+'@0 @1+11+'@03 8+4245+'@03

1+20 3+13+'@02 3+524+'@07 @7+485+'@04 1.0850.()02

1+25 @2+0887+'@02 @1+87+'@07 @4+77+'@04 1+0275+'@02

1+30 @4+1717+'@02 @3+7545+'@07 @2+011+'@04 8+544+'@03

1+35 @4+40+'@02 @3+5+'@07 @1+7875+'@04 +712+'@03

1+40 @3+873+'@02 @3+488+'@07 @1+03+'@04 5+0181+'@03

1+45 @3+117+'@02 @2+801+'@07 @+403+'@05 3+370+'@03

1+50 @2+375+'@02 @2+138+'@07 @3+7+'@05 2+5755+'@031+55 @1+747+'@02 @1+5720+'@07 @2+3881+'@05 1+708+'@03

1+0 @1+2502+'@02 @1+1251+'@07 @1+411+'@05 1+227+'@03

1+5 @8+75+'@03 @7+88+'@08 @8+250+'@0 8+270+'@04

1+70 @+0471+'@03 @5+4424+'@08 @4+758+'@0 5+5511+'@04

1+75 @4+114+'@03 @3+7032+'@08 @2+703+'@0 3+783+'@04

1+80 @2+772+'@03 @2+405+'@08 @1+5115+'@0 2+413+'@04

1+85 @1+8421+'@03 @1+57+'@08 @8+2332+'@07 1+574+'@04

1+0 @1+2151+'@03 @1+03+'@08 @4+3428+'@07 1+0185+'@04

1+5 @7+48+'@04 @7+1540+'@0 @2+1875+'@07 +5417+'@05

2+00 @5+101+'@04 @4+441+'@0 @1+0245+'@07 4+1734+'@05

2+05 @3+325+'@04 @2+31+'@0 @4+182+'@08 2+450+'@05

2+10 @2+128+'@04 @1+158+'@0 @1+181+'@08 1+55+'@05

2+15 @1+3534+'@04 @1+2181+'@0 1+503+'@0 1+0420+'@05

2+20 @8+544+'@05 @7+45+'@10 +7030+'@0 +470+'@0

2+25 @5+357+'@05 @4+821+'@10 7+717+'@0 3+80+'@0

2+30 @3+3457+'@05 @3+0111+'@10 7+1207+'@0 2+4510+'@0

2+35 @2+0724+'@05 @1+851+'@10 5+8477+'@0 1+41+'@0

2+40 @1+274+'@05 @1+1474+'@10 4+513+'@0 +0057+'@07

2+45 @7+7870+'@0 @7+0083+'@11 3+3501+'@0 5+310+'@07

2+50 @4+7202+'@0 @4+2482+'@11 2+4143+'@0 3+18+'@07

2+55 @2+8378+'@0 @2+5541+'@11 1+7022+'@0 1+8755+'@07

2+0 @1+0+'@0 @1+5218+'@11 1+173+'@0 1+08+'@07

2+5 @+73+'@07 @8+75+'@12 8+0543+'@10 +2080+'@08

2+70 @5+814+'@07 @5+2348+'@12 5+4340+'@10 3+4837+'@08

2+75 @3+3470+'@07 @3+0123+'@12 3+275+'@10 1+120+'@08

2+80 @1+855+'@07 @1+705+'@12 2+38+'@10 1+010+'@08

2+85 @1+0525+'@07 @+4721+'@13 1+572+'@10 5+2114+'@0

2+0 @5+8+'@08 @5+1271+'@13 1+0233+'@10 2+5024+'@0



2+5 @2+788+'@08 @2+80+'@13 +085+'@11 1+0755+'@0

3+00 @1+480+'@08 @1+3328+'@13 4+2381+'@11 3+5824+'@10

( 55555+5

( 833333+33

#-& ( 0+50

#C& ( 15+00

#9& ( 0+01

Ga-ama>

M%men ma>

,er!indahan ma>

.e*e!atan ma>

,er*e!atan ma>



0+1

"omen

/ #t& > =

833333.33

5+4071+':05

3+4832+':05

2+2285+':05

1+413+':05

8+427+':04

5+102+':043+4+':04

2+14+':04

1+3312+':04

8+1270+':03

4+237+':03

2+585+':03

1+717+':03



1+0384+':03

+0508+':02

3+4785+':02

1+77+':02

1+00+':02

5+835+':01

3+0733+':011+5215+':01

+170+':00

2+51+':00

5+8744+'@01

@3+1331+'@01

@+2575+'@01

@+0+'@01

@5+8144+'@01

@4+7+'@01

@3+548+'@01@2+200+'@01

@1+8752+'@01

@1+3150+'@01

@+0707+'@02

@+171+'@02

@4+1508+'@02

@2+731+'@02

@1+822+'@02

@1+123+'@02

@7+7402+'@03

@4+885+'@03

@3+130+'@03

@2+0301+'@03

@1+2824+'@03

@8+0485+'@04

@5+018+'@04

@3+108+'@04

@1+124+'@04

@1+181+'@04

@7+0803+'@05

@4+258+'@05

@2+533+'@05

@1+41+'@05

@8+724+'@0

@5+0205+'@0

@2+8432+'@0

@1+5787+'@0

@8+5452+'@07



@4+482+'@07

@2+2214+'@07

b

b in*h

in*h

in*h) dt

in*h) dt2




NIM 120523417724

Tugas ke 11

Getaran ebas ;ndam!ed

k ( 18 t%n) *m

m ( 2

-#0& ( 1 *m

@3 *m) dt

,ersamaan umum

m 9 #t& : k - #t& ( 0

2 m 9 #t& : 18 k - #t& ( 0

( 3 rad) dt

6 ( 0+4775

-#t& ( A *%s #t& : sin #t& #,ers 1+17&

A *%s #3t& : sin #3t&

C#t& ( : *%s t #,ers 1+18&

: 3 *%s #3t&

Hubstitusi k%ndisi -#0& ( 1 dan 9#0& ( @3

-#t& ( A *%s #3t& : sin #3t&

1 ( A *%s #3+0& : sin #3+0&

1 ( A

C#t&( A sin #3t& : *%s #3t&

@3 ( 3A sin #3+0& : 3 *%s #3+0&

@3 ( 3

@1 (

A ( 1

( @1

*an per+amaan $eraknya :

-#t& ( 1 *%s #3t& : #@1& sin #3t&

-#t& ( *%s 3t @ sin 3t

WaktuPerpindahan

Gaya%y&

#detik& #*m& / #t& N

t%n *m@1 det2

C#0& (

A sin t

3A sin #3t&



0+00 1 18

0+05 0+833 15+1080

0+10 0+58 11+877

0+15 0+455 8+3787

0+20 0+207 4+25

0+25 0+0501 0+00

0+30 @0+117 @2+10

0+35 @0+3 @+573

0+40 @0+57 @10+2543

0+45 @0+757 @13+20

0+50 @0+28 @1+81

0+55 @1+070 @1+377

0+0 @1+2010 @21+18

0+5 @1+21 @23+3845

0+70 @1+381 @24+250

0+75 @1+402 @25+3124

0+80 @1+412 @25+4314

0+85 @1+3877 @24+73

0+0 @1+3315 @23+1

0+5 @1+2453 @22+4148

1+00 @1+1311 @20+300

1+05 @0+1 @17+8480

1+10 @0+827 @14+352

1+15 @0+43 @11+870

1+20 @0+4542 @8+173

1+25 @0+240 @4+48201+30 @0+0382 @0+870

1+35 0+1735 3+1234

1+40 0+3813 +837

1+45 0+5805 10+448

1+50 0+77 13+8012

1+55 0+357 1+8427

1+0 1+0837 1+505

1+5 1+2073 21+7311

1+70 1+3038 23+483

1+75 1+3710 24+7841+80 1+4075 25+3342

1+85 1.!123 25.!212

1+0 1+3854 24+372

1+5 1+3274 23+832

2+00 1+23 22+3125

2+05 1+123 20+2308

2+10 0+830 17+48



2+15 0+8201 14+714

2+20 0+387 11+44

2+25 0+4430 7+733

2+30 0+2373 4+2711

2+35 0+023 0+4730

2+40 @0+1853 @3+3357

2+45 @0+328 @7+05

2+50 @0+514 @10+44

2+55 @0+777 @13+80

2+0 @0+44 @17+002

2+5 @1+013 @1+428

2+70 @1+2134 @21+8418

2+75 @1+3084 @23+5503

2+80 @1+373 @24+7300

2+85 @1+408 @25+3542

2+0 @1+411 @25+401

2+5 @1+3830 @24+833

3+00 @1+3232 @23+8185

( 1+4123 *m

( 25+4212 N

- maks

/maks

0 0+5 1 1+5

@2

@1+5

@1

@0+5

0

0+5

1

1+5

2

Gra,k -uun$an y%t&

t%det&

y%t&



0 0+5 1 1+5

@30

@20

@10

0

10

20

30

Gra,k -u.un$an /%t&

t%det&

/%t&



2 2+5 3 3+5

dan t%det&



2+5 3 3+5

an t%det&




NIM 120523417724

Tugas ke 12

Getaran ebas ;ndam!ed

w ( 80 t%n

g ( 80

k ( 25 t%n) *m

-#0& ( 5 *m

5 *m) dt

( 5 rad) dt

6 ( 0+758

m ( 1

,ersamaan umum

m 9 #t& : k - #t& ( 0m 9 #t& : 25 k - #t& ( 0

-#t& ( A *%s #t& : sin #t&

( A *%s #5t& : sin #5t&

C#t& ( : *%s t

( : 5 *%s #5t&

Hubstitusi k%ndisi -#0& ( 5 dan 9#K& ( 5

-#t& ( A *%s #5t& : sin #5t&

5 ( A *%s #5+0& : sin #5+0&

5 ( A

C#t& ( : *%s #5t&

5 ( : 5 *%s #5K&

5 ( : 5 *%s #157080&

5 ( 0+000 @ 5

4+ (

@1 (

A ( 5

( @1

,ersamaan gerak

-#t& ( 5 *%s #5t& : #@1& sin #5t&

-#t& ( 5 *%s #5t& @ sin #5t&

*m) dt2

C#K& (

t%n *m@1 dt2

A sin t

5A sin #5t&

A sin #5t&

5A sin #5K&

5A sin #157080&

5



2+00 @1+1035 @5+5177

2+05 @1+3007 @+5035

2+10 @1+458 @7+478

2+15 @1+885 @8+4425

2+20 @1+878 @+328

2+25 @2+05 @10+3282

2+30 @2+244 @11+24722+35 @2+427 @12+1484

2+40 @2+01 @13+0304

2+45 @2+7784 @13+818

2+50 @2+42 @14+7312

2+55 @3+104 @15+5472

2+0 @3+277 @1+3387

2+5 @3+420 @17+1043

2+70 @3+58 @17+8428

2+75 @3+710 @18+5531

2+80 @3+848 @1+23402+85 @3+7 @1+8844

2+0 @4+1007 @20+5034

2+5 @4+2180 @21+000

3+00 @4+328 @21+431

( 5+0000 *m

( 25+0000 N

- maksimum

/maksimum

0 0+5 1 1+5

@2

0

2

4

Gra,k -u.un$an y%t&

y%t&



@

@4

t%det&

0 0+5 1 1+5

@150

@100

@50

0

50

100

150Gra,k -u.un$an /%t&

t%det&

/%t&



#,ers 1+17&

#,ers 1+18&



2+5 3 3+5

an t%det&



2 2+5 3 3+5

an t%det&




NIM 120523417724

Tugas ke 13

Getaran ebas Fam!ed

* ( 4

k ( 320m ( 5

-#0& ( 1

7+

Per+amaan $erak:

m 9 : * C : k - ( 0

5 9 #t& : 4 C #t& : 320 - #t& ( 0

Per+amaan karakteri+tik

: * ! : k ( 0: 4! : 320 ( 0

kar dari per+amaan kuadrat diata+ adalah :

, ( @0+4 L 8i

( L( @0+4 L i8

,ersamaan res!%nse

Hubstitusi .%ndisi -#0& ( 1 dan C#0& ( 7

C#0& (

m !2

5 !2

,12 D id



A ( 1

( 1

,ersamaan "es!%n

Waktu Perpindahan Gaya

#detik& #*m& / #t& N

0+00 1 3200+05 1+2845 411+04

0+10 1.3586

0+15 1+210 30+0855

0+20 0+858 28+458

0+25 0+442 142+708

0+30 @0+054 @17+578

0+35 @0+527 @18+23

0+40 @0+004 @288+1388

0+45 @1+1187 @357+711

0+50 @1+1548 @3+52820+55 @1+0103 @323+3021

0+0 @0+7148 @228+7301

0+5 @0+31 @102+3803

0+70 0+101 34+88

0+75 0+5043 11+3810

0+80 0+8058 257+84

0+85 0+705 310+521

0+0 0+782 313+008

0+5 0+8337 2+7

1+00 0+557 181+001+05 0+2203 70+5007

1+10 @0+1457 @4+12

1+15 @0+4747 @151+027

1+20 @0+7172 @22+473

1+25 @0+838 @28+4442

1+30 @0+8257 @24+215

1+35 @0+84 @21+130



1+40 @0+4434 @141+8742

1+45 @0+1425 @45+051

1+50 0+18 53+4

1+55 0+4414 141+257

1+0 0+350 203+2130

1+5 0+7225 231+211

1+70 0+45 222+2413

1+75 0+558 17+1433

1+80 0+343 10+422

1+85 0+0825 2+377

1+0 @0+1811 @57+4

1+5 @0+403 @130+025

2+00 @0+557 @17+03

2+05 @0+202 @18+448

2+10 @0+5821 @18+25

2+15 @0+4551 @145+41

2+20 @0+22 @84+0318

2+25 @0+03 @11+74

2+30 0+1857 5+437

2+35 0+3708 118+555

2+40 0+411 157+143

2+45 0+5304 1+7427

2+50 0+480 155+5132

2+55 0+37 117+7148

2+0 0+173 3+1357

2+5 0+0028 0+012+70 @0+1845 @5+0322

2+75 @0+3358 @107+4574

2+80 @0+421 @137+3125

2+85 @0+4522 @144+38

2+0 @0+4042 @12+3372

2+5 @0+254 @4+5170

3+00 @0+1450 @4+383

( 1+358

( 434+7573

- maksimum

/ maksimum



0 0+5 1

@0+5

0

0+5

1

1+5

2

Gra,k -uun

y %t&



1+5 2 2+5 3 3+5

$an y%t& dan t%det&



t %det&

1+5 2 2+5 3 3+5

$an /%t& dan t%det&

t %det&

Dinamika Struktur Abraham Adi Narwastu 120523417724

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