LRFD pak taufik

40
Rencanakan sambungan berikut = 240 Mpa = 825 = 370 Mpa 200 40 75 40 20 = 380.13 m = = 3,200.00 = = 2,393.60 = Leleh = ### N Retak = ### N = = Tinjauan Tahanan Baut Geser = 94,082.85 N Tumpu = ### N = ### N > OK fy fu b fu Ab mm 2 Ag mm 2 r1 Ae mm 2 r2 Ø . Tn = Ø . Ag . Fy Ø . Tn = Ø . Ae . Fu r1 r2 Ø . Rn = Ø . r1 . Fu b . Ae . Rn = Ø . 2,4 . db . Fu p . Ø . Tn-4baut

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Page 1: LRFD pak taufik

Rencanakan sambungan berikut

= 240 Mpa = 825 Mpa

= 370 Mpa

200

40 75 40 tebal pelat =lebar pelat =

2020 Ton

= 380.13 m = 1

= 3,200.00 = 0.4

= 2,393.60 = 0.5

Leleh = 691,200.00 N

Retak = 664,224.00 N = drat terkena bidang geser

= drat tidak terkena bidang geser

Tinjauan Tahanan BautGeser

= 94,082.85 N 9.41 ton/baut

Tumpu

= 234,432.00 N 23.4432 ton/baut

= 376,331.38 N > 200000 NOK

fy fub

fu

Ab mm2

Ag mm2 r1

Ae mm2 r2

Ø . Tn = Ø . Ag . Fy

Ø . Tn = Ø . Ae . Fu r1

r2

Ø . Rn = Ø . r1 . Fub . Ae

Ø . Rn = Ø . 2,4 . db . Fup . tp

Ø . Tn-4baut

Page 2: LRFD pak taufik

tolerensi = 3.2 mm

diameter baut = 22 mm

16 mm200 mm

drat terkena bidang geser

drat tidak terkena bidang geser

Page 3: LRFD pak taufik

Rencanakan sambungan berikut

= 410 Mpa = 825 Mpa

= 550 Mpa

150

30 60 30 tebal pelat =lebar pelat =

2040 Ton

20

= 283.53 m = 2

= 1,500.00 = 0.4

= 1,056.00 = 0.5

Leleh : = 553,500.00 N

Retak : = 435,600.00 N = drat terkena bidang geser

= drat tidak terkena bidang geser

Tinjauan Tahanan BautGeser

= 140,346.72 N 14.03 ton/baut

Tumpu

= 188,100.00 N 18.81 ton/baut

= 561,386.90 N > 400,000 NOK

fy fub

fu

Ab mm2

Ag mm2 r1

Ae mm2 r2

Ø . Tn = Ø . Ag . Fy

Ø . Tn = Ø . Ae . Fu r1

r2

Ø . Rn = Ø . r1 . Fub . m . Ae

Ø . Rn = Ø . 2,4 . db . Fup . tp

Ø . Tn-4baut

Page 4: LRFD pak taufik

tolerensi = 3.2 mm

diameter baut = 19 mm

10 mm150 mm

drat terkena bidang geser

drat tidak terkena bidang geser

Page 5: LRFD pak taufik

Rencanakan sambungan berikut

= 240 Mpa = 825 Mpa

= 370 Mpa DL = 3 Ton

= 1.2DL + 1.6LL LL = 15 Ton= 27.6 Ton

250

30 60 30 tebal pelat =lebar pelat =

13.827.6

13.8

= 283.53 m = 2

= 1,500.00 = 0.4

= 1,233.60

= 1,275.00

= 1,233.60 = 0.5

Leleh : = 324,000 N

Retak : = 342,324 N = drat terkena bidang geser

= drat tidak terkena bidang geser

Tinjauan Tahanan BautGeser

= 175,433 N 17.54 ton/baut

Tumpu

= 75,924 N 7.59 ton/baut

= 303,696 N > 276,000 N

fy fub

fu

Tu

Ab mm2

Ag mm2 r1

An mm2

An-max mm2

Ae mm2 r2

Ø . Tn = Ø . Ag . Fy

Ø . Tn = Ø . Ae . Fu r1

r2

Ø . Rn = Ø . r2 . Fub . m . Ae

Ø . Rn = Ø . 2,4 . db . Fup . tp

Ø . Tn-4baut

Page 6: LRFD pak taufik

OK

30

190

30

30 60

Jarak baut ke tepi = 28.5 mmdigunakan = 30 mm

Jarak antar baut = 57 mmdigunakan = 60 mm

Cek geser balok

= 680.4

= 226.8

= 1080

= 360

Periksa terhadap blok geser

= 151048.8 N

= 83916 N

Fu . Ant < 0.6 . Fu . AnvTn = 0.6 . Fu . Anv + Fy . Agt

= 237448.8 N

= 178086.6 N < 276,000 NRedesign

Jarak perlu dilonggarkan, syarat SNI minimal 3d

50

1.5 db

3.0 db

Anv mm2

Ant mm2

Agv mm2

Agt mm2

0.6 . Fu . Anv Fu . Ant > 0.6 . Fu . Anv

Fu . Ant

Fu . Ant < 0.6 . Fu . Anv

Tn

Ø . Tn

Page 7: LRFD pak taufik

150

50

50 80

Jarak baut ke tepi = 28.5 mmdigunakan = 30 mm

Jarak antar baut = 57 mmdigunakan = 60 mm

Cek geser balok

= 1160.4

= 466.8

= 1560

= 600

Periksa terhadap blok geser

= 257608.8 N

= 172716 N

Fu . Ant < 0.6 . Fu . AnvTn = 0.6 . Fu . Anv + Fy . Agt

= 401608.8 N

= 301206.6 N > 276,000 NOK

OK, Jarak tetap

1.5 db

3.0 db

Anv mm2

Ant mm2

Agv mm2

Agt mm2

0.6 . Fu . Anv Fu . Ant > 0.6 . Fu . Anv

Fu . Ant

Fu . Ant < 0.6 . Fu . Anv

Tn

Ø . Tn

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tolerensi = 3.2

diameter baut = 19

6 mm250 mm

Ton

drat terkena bidang geser

drat tidak terkena bidang geser

Page 9: LRFD pak taufik

Tn = 0.6 . Fy . Agv + Fu . Ant

Tn = 0.6 . Fu . Anv + Fy . Agt

Page 10: LRFD pak taufik

Tn = 0.6 . Fy . Agv + Fu . Ant

Tn = 0.6 . Fu . Anv + Fy . Agt

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Hitung kapasitas 1 baut

Jumlah baut = 6 buah

12 ton100 75

75

75

e = 125 mmM = P. e = 1500 ton.mm

= 37500

Pada baut No. 4= 3 ton

= 2 ton

= 2 ton

Pu =

mm2

41

2

3

6

Ry

Ry

Ry

Ry

Rx Rx

RxRx

Ry Ry

5

Page 12: LRFD pak taufik

Gaya total pada baut No. 4

= 5 ton

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Hitung kapasitas 1 bautJumlah baut = 4 buah α = 36.8699 °

= 0.75e = 160 mmM = P. e = 800 ton.mm

= 32500 160

150

100

Gaya pada baut no. 2

= 1.846154 ton = 1.230769 ton

= = 1 ton

= = 0.75 ton

Total Gaya R pada baut no. 2

= 3.4675695323293 ton

tan α

mm2

RH

RV

21

3

Rx

Rx

Ry

4Ry

Rv

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α

Pu = 5 ton

Rh

Page 15: LRFD pak taufik

= 240 Mpa

= 370 Mpa

= 825 Mpadiameter baut = 22 mm

m = 2

= 0.4 = drat terkena bidang geser

= 0.5 = drat tidak terkena bidang geser

= 380.13

POLA BAUT IPu = 9.324 ton

50

60

60

50

184 72 184

tebal pelat = 10 mm

e = 440 mmM = P .e = 4102.56 ton.mm

= 70 mm= 12.9447 ton

fy

fu

fub

r1 r1

r2 r2

Ab mm2

r3

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Ternyata pola baut II lebih baik,gaya yang dipikul tiap baut sama besar dan lebih kecil daripada gaya maksimum baut 1 pada pola I

Tinjauan Tahanan BautGeser

= 23.52 ton/baut

Tumpu

= 14.652 ton/baut

Ø . Rn = Ø . r2 . Fub . m . Ab

Ø . Rn = Ø . 2,4 . db . Fup . tp

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drat tidak terkena bidang geser

POLA BAUT IIPu = 9.324 ton

140

220 220

tebal pelat = 10 mm

e = 440 mmM = P .e = 4102.56 ton.mm

r = 70 mm= 9.768 ton

Page 18: LRFD pak taufik

Ternyata pola baut II lebih baik,gaya yang dipikul tiap baut sama besar dan lebih kecil daripada gaya maksimum baut 1 pada pola I

Page 19: LRFD pak taufik

Sketsa100 75

P = 40 ton

DiketahuiSambungan Tipe Tumpu

= 75

75e = 125

75 = 825

= 22IC m = 1

= 156804.74 N

coba : = 75

Baut1 25 75 79.057 4.664 142950.63 45204.958 11301239.412 25 0 25.000 1.475 100532.09 100532.085 2513302.133 25 -75 79.057 4.664 142950.63 45204.958 11301239.414 125 75 145.774 8.600 154019.14 132070.319 22451954.195 125 0 125.000 7.374 152235.25 152235.246 19029405.716 125 -75 145.774 8.600 154019.14 132070.319 22451954.19

145.774 8.600 Σ R 607317.884 89049095.05

= = 607318 N = 60.73178838

= = 445245 N = 44.52454752

coba : = 51.46

Baut1 1.46 75 75.014 5.113 145302.50 2828.020 10899752.032 1.46 0 1.460 0.100 26338.69 26338.695 38454.493 1.46 -75 75.014 5.113 145302.50 2828.020 10899752.034 101.46 75 126.171 8.600 154019.14 123853.947 19432754.625 101.46 0 101.460 6.916 151301.19 151301.189 15351018.626 101.46 -75 126.171 8.600 154019.14 123853.947 19432754.62

r0

fub

db

r0

xi yi di Δi Ri Ri.xi/di Ri.di

dmax

Pn-perlu

Pn-perlu

r0

xi yi di Δi Ri Ri.xi/di Ri.di

Page 20: LRFD pak taufik

126.171 8.600 Σ R 431003.817 76054486.40

= = 431004 N = 43.100

= = 431001 N = 43.100

JADI == 43.100 ton > 40 ton

OK

dmax

Pn-perlu

Pn-perlu

Rn Ultimate Phitung

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mm

Mpa

mm

ton

ton

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ton

ton

Page 23: LRFD pak taufik

Sketsa100 75

P = 15 ton

DiketahuiSambungan Tipe Friksi

75e = 125 mm

75 = 585 Mpa

= 22 mmIC m = 1

= 380.13271

= 65962.77 N

coba : = 55 = 0.049

Baut1 5 75.049 75.215 0.066 1128.9682 5 0.049 5.000 1.000 0.0493 5 -74.951 75.118 0.067 -1126.0284 105 75.049 129.063 0.814 92.2485 105 0.049 105.000 1.000 0.0496 105 -74.951 129.006 0.814 -92.087

Σ 518.403 3.760 3.199

= = 211023.4 N = 21.102 ton

= = 248050.14 N = 24.805 ton

= = 189973.86 N = 18.997 ton

JADI == 18.997 ton > 15 ton

OK

fub

db

Ab mm2

r0x r0y

xi yi di xi/di yi/di

Pn-perlu

Pn-perlu

Pn-perlu

Rn Ultimate Phitung

Page 24: LRFD pak taufik

Mutu baut A325Beban mati = 10 %

beban hidup = 90 %Pu = 54.6 tonTu = 43.68 tonVu = 32.76 ton

jumlah baut = 6 buah

= 22 mm

= 825 Mpa

= 585 Mpam = 1r = 0.5

ulir tidak terkena bidang geser

x = 4

y = 4

Tur = 5

Vu 35

Sambungan tipe tumpuGESER

<

= 143.6340 MPa < 309.375 MPaRedesign

atau= 2.79

= 117603.56 N dipakai 6 baut supaya mudah

TARIK

= 591.55 Mpa

= 2.59

= 168650.32 N dipakai 6 baut supaya mudah

db

fu

fupl

x

yr

Page 25: LRFD pak taufik

atau>

= 168650.32 N > 72800 NSambungan Tarik OK !

FRIKSI

= 65962.7663 N

>

49472.07 < 54600Redesign

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546000 N436800 N327600 N

Ton

baut

baut

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Page 28: LRFD pak taufik

Fy = 400 Mpa Pu = 300,000 NFc' = 15 Mpa

Pu = 300 kN 4

= 120 kNm

= 100 kNm

= 80 kNm M1b = 8,000,000 Nmm

= 120 kNm 6b = 300 mmh = 300 mmd' = 30 mm M2b = 12,000,000 Nmmd' = 270 mm

5

= 6.750E+08 = 18203.021727 Mpa =

= 3.335054E+12 = 1.667527E+12 Nmm2

A

= 2.273

= 2.000

B

V3 =

MUD

MUL

M1b

M2b V2 =

V1 =

Ig mm4 Ec βd

EIk Nmm2 EIb

A

B

Page 29: LRFD pak taufik

Momen yang berpengaku = 1Berpengaku Tanpa Pengaku

k = 0.91364

k = 0.95

dipilih yang terkecil, k = 0.913636

= 86.60254

0.8666666667 > 0.4 108 >0.866667 Kolom Langsing

= 1.10E+06 N

= 1.59 > 11.59

δb . M2b

Sehinnga Momen menjadi 191.34 kNm

k=0,7 + 0,05 (ΨA + ΨB) Ψmin < 2

k = 0,85 + 0,05 . Ψmin

Ψmin >= 2

Cm =

Mlangsing =

Mlangsing =

Page 30: LRFD pak taufik

7

m

4 5

m 1

2 3

6

m

5 6

0.473684

h1 (m) h2 (m)

A

B

Page 31: LRFD pak taufik

k = 1.559

k = 1.558846

26Kolom Langsing

Page 32: LRFD pak taufik

3 m

3.5 m

6 m 9 m

ASLI

Menurut :1. FURLONG (1971)

Unbraced

2. DUAN KING CHEN (1993)

Unbraced

dimana :

3. FRENCH

A D G

HEB

C F I

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Unbraced

Page 34: LRFD pak taufik

Profil baja yang terpasang

AB WF 200 200 8 12 46,104,917.33 3500BC WF 200 200 8 12 46,104,917.33 3000DE WF 250 125 6 9 38,929,334.00 3500EF WF 250 125 6 9 38,929,334.00 3000GH WF 200 200 8 12 46,104,917.33 3500HI WF 200 200 8 12 46,104,917.33 3000BE WF 450 200 9 14 322,589,452.67 6000CF WF 400 200 8 13 229,648,682.67 6000EH WF 450 300 11 18 569,221,182.00 9000FI WF 400 300 10 16 395,629,226.67 9000

faktor G tiap-tiap join

joinA 10.0000B 0.5309C 0.4015D 10.0000E 0.2060F 0.1578G 10.0000H 0.4513I 0.3496

ELEMENT STRUKTUR

Momen Inersia Ix (mm4) Panjang L

(mm)

Page 35: LRFD pak taufik

I

L

13,172.8315,368.3111,122.6712,976.4413,172.8315,368.3153,764.9138,274.7863,246.8043,958.80