tugas gempa aji (fix)

7/26/2019 Tugas Gempa Aji (Fix)

1/34

Nama : Tri Setiyono

NIM : 2009 41 0056

Semester : VII

Jurusan : Teknik Sipil

Mat. ul : !inamika Struktur

!osen : Ir. "minu##in Noor$ MS%.

Tu&as 6 !inamaika Struktur

1'.49( 4.1)(

No. * m k +

5 2040 2.04 410 1.000 35.687 35.687

4 2030 2.03 420 0.913 32.421 68.107

3 2020 2.02 430 0.751 26.531 94.638

2 2010 2.01 440 0.531 18.661 113.299

1 2000 2.00 450 0.273 9.559 122.858

0.000

= = 1.5024.183

146.(6) 12.09)

No. * m k +

5 2040 2.04 410 1.000 298.591 298.591

4 2030 2.03 420 0.272 80.738 379.329

3 2020 2.02 430 -0.631 -186.693 192.637

2 2010 2.01 440 -1.079 -317.568 -124.931

1 2000 2.00 450 -0.795 -232.870 -357.801

0.000

= = 0.51912.098

(6(.159 19.05'

No. * m k +5 2040 2.04 410 1.000 740.844 740.844

4 2030 2.03 420 -0.807 -594.884 145.960

3 2020 2.02 430 -1.154 -846.891 -700.931

2 2010 2.01 440 0.476 347.171 -353.759

1 2000 2.00 450 1.280 929.402 575.643

0.000

= = 0.((019.057

>> ,1

2 = ,1 =

m.+.*2 -m.+.*2

T1 =

2 2

W1

>> ,2

2 = ,2 =

m.+.*2 -m.+.*2

T2 =

2 2

W2

>> ,(

2 = ,(=

m.+.*2 -m.+.*2

T( =

2 2

W3


2/34

Ja#i asil "nalisa /a&am Mo#el "nalisis

1.502 #et 0.519 #et

4.1)( ra##et 12.09) ra##et

3entuk /a&am 1 3entuk /a&am 2

1.000 1.000

0.913 0.272

0.751 -0.631

0.531 -1.079

0.273 -0.795

Men%ari aktor artisipasi /a&am

Mo#a arti%ipation a%tor

/a&am 1

No 7antai m

5 2.04 1.000 1.000 2.040 2.040

4 2.03 0.913 0.833 1.853 1.6923 2.02 0.751 0.564 1.517 1.139

2 2.01 0.531 0.282 1.067 0.566

1 2.00 0.273 0.075 0.546 0.149

- '.02( 5.5)6

=7.023

= 1.25'2465.586

/a&am 2

No 7antai m5 2.04 1.000 1.000 2.040 2.040

4 2.03 0.272 0.074 0.552 0.150

3 2.02 -0.631 0.399 -1.276 0.805

2 2.01 -1.079 1.165 -2.170 2.342

1 2.00 -0.795 0.633 -1.591 1.266

- 82.445 6.60(

=-2.445

= 80.('02216.603

/a&am (

No 7antai m

5 2.04 1.000 1.000 2.040 2.040

4 2.03 -0.807 0.651 -1.638 1.322

3 2.02 -1.154 1.333 -2.332 2.692

2 2.01 0.476 0.226 0.956 0.455

1 2.00 1.280 1.637 2.559 3.275

- 1.5)5 9.')4

=

1.585

= 0.16201'9.784

T1= T

2= T

3=

,1= ,

2= ,

3=

1

1

2 m . 1

m . 1

2

&1=

(m . 1)

(m . 1

2)

1 12

m . 1 m . 12

&2=

(m . 2)

(m . 2

2)

1

1

2 m . 1

m . 1

2

&3=

(m . 3)

(m . 3

2)


3/34

Men%ari Spe%trum !ispla%ement

1.502 #etik

0.052

g

= 0.052x1000

= 52 Spe%trum "%%eleratio

52

17.49

= 2.9'( %m Spe%trum !ispla%ement

0.519 #etik

0.07

g

= 0.07x1000

= '0

70

146.37

= 0.4') %m Spe%trum !ispla%ement

T1

;1 =

;1 =

Sa1 => Sa

1= ;

1 x g

cm/det2

%m#et2

Sd1 =

Sa1

W12

=cm/det2

T2

;2 =

;2 =

Sa2 => Sa

2= ;

2 x g

cm/det2

%m#et2

S#2

Sa2

W22

=cm/det2

0.000 0.250 0.500 0.750 1.000 1.250 1.500 1.750 2.000 2.2

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08;


4/34

0.((0 #etik

0.07

g

= 0.07x1000

= '0

70

363.16

= 0.192) %m Spe%trum !ispla%ement

Simpan&an /a&am 2

No 7antai

5 1.0000 1.0000 1.0000

4 0.9130 0.2717 -0.8069

3 0.7508 -0.6314 -1.1545

2 0.5307 -1.0794 0.4756

1 0.2732 -0.7955 1.2796

gj 1.2572 -0.3702 0.1620

Sdj 2.9725 0.4782 0.1928

No 7antai /a&am1 /a&am2 /a&am( /MS

5 3.7372 -0.1771 0.0312 3.7415

4 3.4119 -0.0481 -0.0252 3.4124

3 2.8059 0.1118 -0.0361 2.8084

2 1.9834 0.1911 0.0149 1.9926

1 1.0211 0.1408 0.0400 1.0315

k < *

0.3292 410 134.9635 2040 0.0662

0.6040 420 253.6811 4070 0.0623

0.8157 430 350.7658 6090 0.0576

0.9611 440 422.8940 8100 0.0522

1.0315 450 464.1722 10100 0.0460

T(

;( =

;( =

Sa3 => Sa

3= ;

( x g

cm/det2

%m#et2

S#( Sa3

W32

=cm/det2

1

2

(

Simpan&an/elati=

>i

1

2

3

4

5

?ra@kNo.

7antai


5/34


6/34

0 0

0.087

0.162

0.220

0.257

0.273

0 0

0.728

0.903

0.448

-0.284

-0.795

0 0

1.807

0.348

-1.630

-0.804

1.279

1k.-m.+.*2

1k.-m.+.*2

1k.-m.+.*2


7/34

0.((0 #et

19.05' ra##et

3entuk /a&am (

1.000

-0.807

-1.154

0.476

1.280


8/34

n

50 2.500

t 0#etik1


9/34


10/34


11/34

Nama : "n&&ara "Ai utra Mat. ul

NM : 421(210006 !osen

Jurusan : Teknik Sipil

Tu&as 2 ?empa

1(.6(' (.69(

No. * m k +

5 730 0.73 121 1.000 9.955 9.955

4 735 0.735 122 0.918 9.198 19.153

3 740 0.74 123 0.761 7.677 26.830

2 745 0.745 124 0.543 5.513 32.342

1 750 0.75 125 0.282 2.882 35.224

0.00000

= = 1.'01

3.693

114.494 10.'00

No. * m k +

5 730 0.73 121 1.000 83.581 83.581

4 735 0.735 122 0.309 26.024 109.605

3 740 0.74 123 -0.589 -49.916 59.689

2 745 0.745 124 -1.074 -91.646 -31.958

1 750 0.75 125 -0.817 -70.131 -102.088

0.00000

= = 0.5)'10.700

2)4.1)6 16.)5)

No. * m k +

5 730 0.73 121 1.000 207.456 207.456

4 735 0.735 122 -0.715 -149.245 58.211

3 740 0.74 123 -1.192 -250.601 -192.390

2 745 0.745 124 0.372 78.865 -113.5261 750 0.75 125 1.288 274.529 161.004

0.00000

= = 0.('(16.858

>> ,1

2 = ,1 =

m.+.*2 -m.+.*2

T1 =

2 2

W1

>> ,2

2 = ,2 =

m.+.*2 -m.+.*2

T2 =

2 2

W2

>> ,(

2 = ,(=

m.+.*2 -m.+.*2

T( =

2 2

W3


12/34


1.'01 #et 0.5)' #et

(.69( ra##et 10.'00 ra##et


1.000 1.000

0.918 0.309

0.761 -0.589

0.543 -1.0740.282 -0.817



/a&am 1

No 7antai m

5 0.73 1.000 1.000 0.730 0.730

4 0.74 0.918 0.842 0.675 0.619

3 0.74 0.761 0.579 0.563 0.4282 0.75 0.543 0.294 0.404 0.219

1 0.75 0.282 0.079 0.211 0.060

- 2.5)( 2.056

=2.583

= 1.2562(52.056

/a&am 2

No 7antai m

5 0.73 1.000 1.000 0.730 0.7304 0.74 0.309 0.096 0.227 0.070

3 0.74 -0.589 0.347 -0.436 0.257

2 0.75 -1.074 1.154 -0.800 0.860

1 0.75 -0.817 0.667 -0.613 0.500

- 80.)92 2.41'

=-0.892

= 80.(6))4(2.417

/a&am (

p m

5 0.73 1.000 1.000 0.730 0.730

4 0.74 -0.715 0.511 -0.525 0.375

3 0.74 -1.192 1.420 -0.882 1.051

2 0.75 0.372 0.139 0.278 0.103

1 0.75 1.288 1.659 0.966 1.244

- 0.56' (.504

=0.567

= 0.1616993.504

T1= T

2= T

3=

,1= ,

2= ,

3=

1

12 m .

1m .

12

&1=

(m . 1)

(m . 12)

1

12 m .

1m .

12

&2=

(m . 2)

(m . 22)

1

12 m .

1m .

12

&3=

(m . 3)

(m . 32)


13/34

,ilayaB 3iak

1.'01 #etik

0.293860758

g

= 0.29386075

= 29(.)60'6 Spe%trum "%%elerati

293.8607579

13.64

= 21.550 %m Spe%trum !ispla%ement

0.5)' #etik

0.85149382

g

= 0.85149381

= )51.49()2

851.4938197

114.49

= '.4(' %m Spe%trum !ispla%ement

T1

;1 =

;1 =

Sa1 => Sa

1= ;

1 x g

cm/det2

%m#et2

Sd1 =

Sa1

W12

=cm/det2

T2

;2 =

;2 =

Sa2 => Sa

2= ;

2 x g

cm/det2

%m#et2

S#2

Sa2

W22

=cm/det2

0.000 0.250 0.500 0.750 1.000 1.250 1.500 1.750 2.000 2.250 2.500 2.750 3

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1;

0500!


14/34

0.('( #etik

1.341502467

g

= 1.34150246

= 1(41.5025

1341.502467

284.19

= 4.'205 %m Spe%trum !ispla%ement

Simpan&an /a&am 2

No 7antai

5 1.0000 1.0000 1.0000

4 0.9177 0.3093 -0.7145

3 0.7607 -0.5892 -1.19172 0.5426 -1.0744 0.3725

1 0.2818 -0.8167 1.2880

gj 1.2562 -0.3688 0.1617

Sdj 21.5496 7.4370 4.7205


5 27.0713 -2.7431 0.7633 27.2207

4 24.8442 -0.8483 -0.5454 24.8646

3 20.5942 1.6161 -0.9096 20.6776

2 14.6893 2.9472 0.2843 14.9847

1 7.6284 2.2403 0.9832 8.0112

k < *

2.3560 121 285.0781 730 0.3905

4.1871 122 510.8245 1465 0.3487

5.6928 123 700.2203 2205 0.3176

6.9736 124 864.7209 2950 0.2931

8.0112 125 1001.3938 3700 0.2706

T(

;( =

;( =

Sa3 => Sa

3= ;

( x g

cm/det2

%m#et2

S#(

Sa3

W32

=cm/det2

1

2

(

Simpan&an/elati=

>i

0

1

2

3

4

5

?ra@k oe@sien ?eser

No.

7antai


15/34

0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700 0.800

0

1

2

3

4

5?ra@k /a&am 1

1

No.

7anta

i

-1.100 -0.900 -0.700 -0.500 -0.300 -0.100 0.100 0.300 0.500

0

1

2

3

4

5?ra@k /a&am 2

2

No.

7antai

-1.300 -1.100 -0.900 -0.700 -0.500 -0.300 -0.100 0.100 0.300 0.500 0.70

0

1

2

3

4

5?ra@k /a&am (

(

No.

7antai


16/34

: ?empa

: Ir. "minu##in Noor$ MS%.

1 0

0.082

0.157

0.218

0.261

0.282

0 1

0.691

0.898

0.485

-0.258

-0.817

1 0

1.715

0.477

-1.564

-0.9161.288

1k.-m.+.*2

1k.-m.+.*2

1k.-m.+.*2


17/34

0.('( #et

16.)5) ra##et

3entuk /a&am (

1.000

-0.715

-1.192

0.3721.288


18/34

n

.000

t 0#etik1


19/34


20/34

.900 1.000 1.100

0.700 0.900 1.100

0.900 1.100 1.300


21/34

;ara Statik CkiDalensi

4 m

4 m

4 m

4 m

4 m

T 1.'014)6 #t 0$1V 45.(0(5'

; 0.29()61 0$9V 40'.'(21

No. 7antai B ,i ,i.Bi Bi.,i-Bi.,i i


22/34

-,i >i

No.

7antai


23/34

(0.'4 5.545

No. * m k +

5 350 0.35 131 1.000 10.760 4.494

4 355 0.355 132 0.394 4.300 8.794

3 360 0.36 133 0.327 3.623 12.4172 365 0.365 134 0.234 2.626 15.043

1 370 0.37 135 0.122 1.385 16.428

0.000

= = 1.1((5.545

254.1) 15.94(

No. * m k +

5 350 0.35 131 1.000 88.963 88.963

4 355 0.355 132 0.321 28.955 117.918

3 360 0.36 133 -0.572 -52.380 65.538

2 365 0.365 134 -1.065 -98.825 -33.286

1 370 0.37 135 -0.817 -76.817 -110.103

-0.001

= = 0.(9415.943

6(0.90 25.11)

No. * m k +

5 350 0.35 131 1.000 220.815 220.815

4 355 0.355 132 -0.686 -153.556 67.259

3 360 0.36 133 -1.195 -271.447 -204.188

2 365 0.365 134 0.340 78.317 -125.871

1 370 0.37 135 1.279 298.662 172.791

-0.001

= = 0.25025.118


1.1(( #et 0.(94 #et

>> ,12 = ,

1 =

m.+.*2 -m.+.*2

T1 =

2 2

W1

>> ,22 = ,

2 =

m.+.*2 -m.+.*2

T2 =

2 2

W2

>> ,(2 = ,

(=

m.+.*2 -m.+.*2

T( =

2 2

W3

T1= T

2= T

3=


24/34

5.54 ra##et 15.94 ra##et


1.000 1.000

0.394 0.321

0.327 -0.572

0.234 -1.065

0.122 -0.817



/a&am 1

No 7antai m

5 0.35 1.000 1.000 0.350 0.350

4 0.355 0.394 0.155 0.140 0.055

3 0.36 0.327 0.107 0.118 0.039

2 0.365 0.234 0.055 0.085 0.020

1 0.37 0.122 0.015 0.045 0.005

- 0.'() 0.469

=0.738

= 1.5'(4150.469

/a&am 2

No 7antai m

5 0.35 1.000 1.000 0.350 0.350

4 0.355 0.321 0.103 0.114 0.037

3 0.36 -0.572 0.328 -0.206 0.118

2 0.365 -1.065 1.135 -0.389 0.414

1 0.37 -0.817 0.667 -0.302 0.247

- 80.4(( 1.166

=-0.433

= 80.('1661.166

/a&am (

No 7antai m

5 0.35 1.000 1.000 0.350 0.350

4 0.355 -0.686 0.470 -0.243 0.167

3 0.36 -1.195 1.428 -0.430 0.514

2 0.365 0.340 0.116 0.124 0.042

,1= ,

2= ,

3=

1

12 m .

1m .

12

&1=

(m . 1)

(m . 12)

1 12 m . 1 m . 12

&2=

(m . 2)

(m . 2

2)

1

12 m .

1m .

12


25/34

1 0.37 1.279 1.637 0.473 0.606

- 0.2'4 1.6'9

=0.274

= 0.16(12(1.679

Men%ari Spe%trum !ispla%ement

#e$c. % &

0 0.05 1.000 0

1 0.05 1.000 0.05

2 0.03

3 0.03 2.000 0

2.000 0.03

0 0.03

2 0.03

1.1(( #etik

0.05

g

= 0.05x1000

= 4' Spe%trum "%%elerat

47

30.74

= 1.529 %m Spe%trum !ispla%ement

0.(94 #etik

0.05

g

&3=

(m . 3)

(m . 32)

T1

;1 =

;1 =

Sa1 => Sa

1= ;

1 x g

cm/det2

%m#et2

Sd1 =

Sa1

W1

2

=

cm/det2

T2

;2 =

;2 =

Sa2 => Sa

2= ;

2 x g

0 1 2

0

0.01

0.02

0.03

0.04

0.05

0.06

;


26/34

= 0.05x1000

= 50

50

254.18

= 0.19' %m Spe%trum !ispla%ement

0.250 #etik

0.05

g

= 0.05x1000

= 50

50

630.9

= 0.0'9 %m Spe%trum !ispla%ement

Simpan&an /a&am 2No 7antai

5 1.0000 1.0000 1.0000

4 0.3940 0.3209 -0.6856

3 0.3274 -0.5724 -1.1951

2 0.2340 -1.0652 0.3401

1 0.1218 -0.8168 1.2794

gj 1.5734 -0.3717 0.1631

Sdj 1.5289 0.1967 0.0793


5 2.4630 -0.1070 0.0180 2.4654

4 0.9478 -0.0235 -0.0089 0.9710

3 0.7875 0.0418 -0.0155 0.8080

2 0.5760 0.1140 0.0060 0.5870

1 0.2929 0.0597 0.0165 0.3110

2.463 -0.107 0.018 2.374

cm/det2

%m#et2

S#2

Sa2

W2

2

=cm/det2

T(

;( =

;( =

Sa3 => Sa

3= ;

( x g

cm/det2

%m#et2

S#(

Sa3

W3

2

=cm/det2

1

2

(


27/34

1.494 80 119.52

S'm. e* +a,ta' 5=%5-%4 0.324 1.494 80 119.55111

S'm. e* +a,ta' 4=%4-%3 0.163 85 13.855

S'm. e* +a,ta' 1=%1-0 0.221 90 19.89

0.276 95 26.220.311 100 31.1

480 0.249

119.52 0.249


28/34

0 1 1

0.606

0.067

0.0930.112

0.122

0 0 0

0.679

0.893

0.493

-0.248

-0.816

0 0 0

1.686

0.510

-1.535

-0.939

1.280

0.250 #et

1k.-m.+.*2

1k.-m.+.*2

1k.-m.+.*2


29/34

25.12 ra##et

3entuk /a&am (

1.000

-0.686

-1.195

0.340

1.279


30/34

ion

t 0#etik1


31/34


32/34

915.96 46.618

480 10.296452 79.98387

965 2.0104167

1455 1.507772

1950 1.34020622450 1.2564103

480

485


33/34

6(0.9 25.11)

No. * m k +

5 730 0.133537206932 131 1.000 84.249 84.249

4 735 0.134556574924 132 0.357 30.296 114.545

3 740 0.135575942915 133 -0.511 -43.698 70.8472 745 0.136595310907 134 -1.044 -89.932 -19.086

1 750 0.137614678899 135 -0.901 -78.237 -97.323

-0.180

= = 0.25025.118

>> ,12 = ,

1 =

m.+.*2 -m.+.*2

T1 =

2 2

W1


34/34

0.643

0.868

0.533-0.142

-0.721

1k.-m.+.*2

tugas gempa aji (fix)

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