BAB I PENDAHULUAN
1.1
Latar B Beelakang
Manu Manusi siaa
dida didala lam m
kehi kehidu dupa pann nnya ya
akan akan
sela selalu lu
beru berusa saha ha
untu untuk k
mendapatkan kemudahan dalam mengatasi setiap masalah yang dihadapinya. Tiap tahun selalu bermunculan penemuan demi penemuan penting dari para ahli akan adanya mesin-mesin berteknologi canggih. Apalagi sekarang ini, saat teknologi mengalami lompatan yang begitu tinggi dibandingkan setengah abad
yang
lalu
saat
industri
mulai
menunjukkan
diri
dengan
dike dikemb mban angka gkann nnya ya mesi mesin n mesi mesin n yang yang mamp mampu u mena menang ngani ani sega segala la jeni jeniss pekerjaan yang tidak mampu ditangani oleh manusia, dari peralatan yang memb membut utuhk uhkan an kete keteli liti tian an yang yang tingg tinggii samp sampai ai denga dengan n peral peralat atan an denga dengan n pembebanan yang besar. Keberadaan mesin mesin berteknologi canggih itu senant senantias iasaa mering meringanka ankan n kerja kerja manusi manusia. a. Contoh Contohnya nya dahulu dahulu semua semua pekerj pekerjaa menggunakan tenaga manusia, seperti memecah batu menjadi batu kerikil dahul dahulu u meng menggun gunak akan an palu palu seba sebaga gaii alat alat untu untuk k peme pemeca cahn hnya ya agar agar dapa dapatt dijadi dijadikan kan batu batu keriki kerikil, l, tetapi tetapi karena karena semaki semakin n pesatn pesatnya ya teknol teknologi ogi saat saat ini dibuatlah “Mesin Pemecah Batu untuk Krikil”. Ini merupakan bagian dari alternatif manusia untuk memudahkan mereka dalam bekerja sehingga lebih cepat mengomset batu kerikil kepada konsumen. Kini mesin Pemecah batu ini dapat dilakukan dengan teknik konveyer yang dapat menghemat waktu dan tenaga. Mesin pemecah batu ini secara otomatis tak terlepas dari peran komponen-komponen elemen mesin seperti poros, motor listrik,bantalan, poros, pasak, puli dan sabuk-V dan lain-lain. Dimana keuntungan mesin ini adalah: 1. Meng Menghe hema matt wakt waktu u dan dan tenag tenagaa bila bila diba dibandi ndingk ngkan an denga dengan n konvensional (alat tradisional) yang akan memakan waktu lebih lama dan tenaga lebih banyak. 2.
Lebi Lebih h prak prakti tiss dan dan efis efisie ien. n.
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Deng Dengan an
ditu ditunj njan ang g
perkem perkemba banga ngan n
tekn teknol olog ogii
komuni komunika kasi si,,
maka maka
penyebaran akan adanya mesin ini dengan begitu cepatnya diketahui banyak orang sehingga penggunaannya sudah mulai menyebar. Hal ini disebabkan juga karena mesin ini memang benar-benar meringankan kerja manusia.
1.2
Tujuan 1.2. .2.1
Tujuan Um Umum
Adapun tujuan umum perencanaan ini adalah: 1.
Menambah
wawasan
mahasiswa
mengenai
mesin-mesin
produksi yang dapat menunjang perkuliahan. 2.
Mengetahui dan memahami cara kerja mesin peme emecah batu atu (Stone Hammer).
1.2.2 .2.2
Tuju ujuan Khusus sus
Adapun tujuan khusus perencanaan ini adalah: 1.
Untu Untuk k mer meren enca cana naka kan n tra trans nsmi misi si daya daya dari dari mesi mesin n pem pemec ecah ah bat batu u sehingga dihasilkan mesin yang dapat bekerja secara efektif dan efisien dengan kapasitas dan efisiensi yang maksimal.
1.3
Manfaat
Manfaat yang diharapkan dari tulisan ini adalah: 1. Maha Mahasi sisw swaa mamp mampu u mene menera rapk pkan an dan dan mneg mnegap apli lika kasi sika kan n teor teorii dari dari mata mata kuliah elemen mesin yang telah didapatkan dalam perkuliahan. 2. Mahasi Mahasiswa swa mampu mampu merencen merencenakan akan setiap setiap elemen elemen mesin dan bagian bagian utama dari mesin. 3. Membuka Membuka pola pola pikir mahasis mahasiswa wa dalam dalam merenc merencana anakan kan suatu suatu mesin yang mampu membantu pekerjaan menjadi lebih mudah.
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1.4
Batasan masalah
Adapun Batasan masalah dalam perencanaan elemen mesin ini adalah hanya merencanakan sistem transmisi dari mesin pemecah batu yang terdiri dari: 1. Poros 2. Bantalan 3. Pasak 4. Puli 5. Sabuk-V
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BAB II LANDASAN TEORI
2.1
POROS
Poros Poros merupak merupakan an salah salah satu satu bagian bagian terpen terpentin ting g dari dari setiap setiap mesin, mesin, karena pada hampir semua mesin, poros memegang peranan utama di dalam meneru meneruska skan n tenaga tenaga bersam bersama-s a-sama ama dengan dengan putara putaran n transm transmisi isi dalam dalam setiap setiap mesin.
2.1. 2.1.1 1
Maca Macamm-ma maca cam m poro poross
Poros
untuk
meneruskan kan
daya
dikla klasifikasikan kan
menur nurut
pembebanannya sebagai berikut: 1. Poros Transmisi
Poros Poros ini mendapat mendapat beban beban puntir puntir murni murni atau atau puntir puntir dan lentur lentur,, disini daya yang ditransmisikan harus melalui kopling, roda gigi, sabuk dan sproket rantai. 2. Spindel
Poros transmisi yang relatif pendek, seperti poros utama mesin perkakas di mana beban utamanya berupa puntiran. 3. Gandar
Poros Poros sepert sepertii yang dipasa dipasang ng dianta diantara ra roda roda roda roda kereta kereta barang, barang, dimana tidak mendapat beban puntir bahkan kadang kadang tidak boleh berputar. Menuru Menurutt bentukny bentuknya, a, poros poros dapat dapat digolo digolongka ngkan n atas atas poros poros lurus lurus umum, poros engkol sebagai poros utama dari mesin totak dan lain lain lain.. Poro Poross luwe luwess untu untuk k tran transm smis isii daya daya keci kecill agar agar terd terdap apat at kebebasan bagi perubahan arah dan lain lain.
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2.1.2
Hal-hal Hal-hal yang yang penti penting ng dalam dalam peren perencana canaan an poros poros transm transmisi isi 1. Ke Keku kuat atan an poro poross
Suatu poros transmisi dapat mengalami beban puntir atau lentur atau gabungan antara puntir dan lentur. Selain itu ada juga poros yang mendapat beban tarik atau tekan seperti poros baling-baling kapal atau turbin. Kelelahan, tumbukan atau pengaruh konsentrasi tegangan bila diameter poros diperkecil juga perlu diperhatikan. 2. Ke Keka kaku kuan an poro poross
Meskip Meskipun un sebuah sebuah poros poros mempuny mempunyai ai kekuata kekuatan n yang cukup, cukup, tapi tapi jika
lenturan
atau
defleksi
puntirnya
terlalu
besar
akan
mengakibatkan ketidak telitian karena untuk mencapai ketelitian yang maksim maksimum, um, kekakua kekakuan n juga juga perlu perlu diperh diperhati atikan. kan. Kekaku Kekakuan an poros itu sendiri juga berfungsi untuk mencegah lenturan atau defleksi puntir. 3. Puta Putara ran n kri kriti tiss
Bila putaran suatu mesin dinaikkan maka pada suatu harga putaran tertentu dapat terjadi getaran yang luat biasa besarnya, putaran ini sering disebut dengan putaran kritis. Akibat dari putaran kritis ini akan akan dapat dapat meng mengak akib ibat atkan kan keru kerusa sakan kan pada pada poros poros dan bagia bagian n bagian lainnya sehingga dalam perencanaan putaran kerja poros harus lebih rendah dari putaran kritis.
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dihasi dihasilka lkan n dari dari ingot ingot dan di-kil di-killl (baja (baja yang yang dioksi dioksidas dasii dengan dengan ferosilicon dan dicor, kadar karbon terjamin). Meskipun demikian, bahan ini kelurusannya agak kurang tetap dan dapat mengalami deformasi karena tegangan yang kurang seimbang (misalnya diberi alur alur pasak, pasak, karena karena ada tegang tegangan an sisa sisa didala didalam m terasn terasnya) ya) tetapi tetapi penarikan dingin membuat permukaan poros menjadi keras dan keku kekuat atan anny nyaa
bert bertam amba bah h
besa besar. r.
Poro Poross
yang yang
dipa dipaka kaii
untu untuk k
meneruskan putaran tinggi dan beban berat umumnya dibuat dari baja paduan dengan pengerasan yang sangat tahan terhadap keausan.
2.1. 2.1.3 3
Poro Poross deng dengan an beb beban an pun punti tirr
Jika diketahui bahwa poros yang direncanakan tidak mendapat beban lain kecuali torsi, maka diameter poros tersebut dapat lebih kecil dari yang dibayangkan. Mes Meskipu kipun n
dem demikian kian,,
jika
dipe diperrkir kirakan akan
akan akan
ter terjadi jadi
pembebanan berupa lenturan, tarikan, atau tekanan, misalnya jika sebuah sabuk, rantai atau roda gigi dipasangkan pada poros motor, maka maka kemung kemungkin kinan an adanya adanya pembeb pembebanan anan tambah tambahan an terseb tersebut ut perlu perlu diperhitungkan dalam faktor keamanan yang diambil. (Sularso hal. 7 tabel 1.6).
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Jika P Jika P adalah adalah daya nominal output dari motor penggerak, maka berbagai macam faktor keamanan biasanya dapat diambil dalam perencanaan, sehinga koreksi pertama dapat diambil kecil. k ecil. Jika faktor koreksi adalah f adalah f c maka daya rencana rencana P d d (kW) sebagai patokan adalah: (Sularso hal. 7)
(
Pd = f c
× P kW
) ....................................................................1
Jika Jika daya daya dibe diberi rika kan n dala dalam m daya daya kuda kuda (PS) (PS),, maka maka haru haruss dikalikan dengan 0,735 untuk mendapatkan daya dalam kW. Jika Jika momen momen puntir puntir (diseb (disebut ut juga juga sebaga sebagaii momen momen rencana rencana)) adalah:
T (kg.mm) T (kg.mm) T = 9,74 ×10 5
×
Pd n
(kg .mm) ..................................................2
Bila momen rencana dibebankan pada suatu diameter poros (ds) maka tegangan geser τ (kg/mm2) yang terjadi terjadi adalah: adalah: (Sularso (Sularso hal. 7) τ
=
T
(
ds
π
3
T kg = 5,13 mm 2 ...............................................3 ds 16 )
untu untuk k sela selanj njut utny nya, a, tegan teganga gan n gese geserr yang yang diij diijin inka kan n (τ d d ) dihi dihitu tung ng berdasarkan kekuatan tarik (σ (σ B) dengan hasil kali antara faktor koreksi Sf 1 dan Sf 2. Harga Sf 1 adalah 5,6 untuk bahan SF dengan kekuatan yang dijamin, dan 6,0 untuk bahan S-C dengan pengaruh masa, dan baja paduan. Harga Sf adalah 1,3 sampai 3,0. Harga σ dapat dilihat dari
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Tabel 1.1 Baja Karbon untuk konstruksi mesin dan baja difinis dingin untuk poros. No.
1.
2.
Jenis
Lambang
Perlakuan Panas
Baja Karbon konstruksi mesin ( JIS G 4501 )
S30C S35C S40C S45C S50C S55C S35C-D S45C-D S55C-D
Penormalan Penormalan Penormalan Penormalan Penormalan Penormalan Penormalan Penormalan Penormalan
Batang baja Yang difinis dingin
Kekuatan Tarik Kg/mm2 48 52 55 58 62 66 53 60 72
Keterangan
-
Ditarik dingin, gerinda dan bubut
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Dari hal hal di atas, maka besarnya τ d d dapat dihitung dengan: (Sularso hal. 8) τ d
=
σ B
sf 1 × sf 2
kg mm2 ..........................................................4
Kemu Kemudi dian an,, kead keadaan aan mome momen n punt puntir ir itu itu send sendir irii juga juga haru haruss ditinjau, faktor koreksi K t t dipilih sebesar 1,0 jika beban dikenakan secara halus, 1,0-1,5 jika terjadi sedikit kejutan atau tumbukan, dan 1,5-3,0 jika beban dikenakan dengan kejutan atau tumbukan besar (Sularso hal. 8). Dari persamaan untuk mencari tegangan geser diperoleh rumus untuk menghitung diameter poros (d (d s) sebagai berikut: (Sularso hal. 8) 1
ds
5,1 3 = Kt .Cb.T ( mm ) ........................................................ τ d
.5 harga faktor koreksi Cb = 1,2 – 2,3, jika diperkirakan akan terjadi pemakaian dengan beban lentur. (jika diperkirakan tidak akan terjadi pembebanan lentur maka C b diambil 1,0): (Sularso hal. 8). Dalam pengujian perhitungan, apakah sudah aman atau tidak yang yang berpen berpengar garuh uh disini disini adalah adalah harga harga faktor faktor konsent konsentras rasii teganga tegangan n dengan alur pasak (α) dan poros bertangga (β). Harga α diperoleh dari gambar 1.2 (Sularso hal. 9 gambar 1.2)
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Terlebih Terlebih dahulu kita menentuk menentukan an besarnya besarnya
r ds
(mm) (Sularso
hal 11). Dimana r disini adalah harga jari jari untuk ukuran alur pasak. Selanjutnya ukuran pasak dan alur pasak dapat ditentukan dari tabel 1.8 (Sularso hal. 10). Tabel 1.8 ukuran pasak
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Sebelumnya Sebelumnya digunakan digunakan rumus
D ds
dan
r ds
(mm). Dimana D
adalah diameter bagian yang menjadi tempat bantalan, dan r disini adalah harga dari jari- jari fillet dengan rumus: (Sularso hal. 11) Jari jari fillet (r) =
D − d s 2
........................................................6
Dalam pengujian perhitungan, apakah sudah aman atau tidak maka digunakan ketentuan sebagai berikut: (Sularso hal. 12) syarat
aman
=
τ d ×
sf 2 α
> τ × Cb × Kt
.......................................7 dimana
2.2
τ
=
5,1 × T
d s
3
PASAK 2.2. 2.2.1 1
Maca Macamm-ma maca cam m Pasa Pasak k
...................................................................8
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Menuru Menurutt letakn letaknya ya pada pada poros poros dapat dapat dibedak dibedakan an antara antara pasak pasak pelana, pasak rata, pasak benam, dan pasak singgung, singgung , yang umumnya persegi empat. Dalam arah memanjang dapat berbentuk prismatis atau berbentuk tirus. Pasak benam prismatis ada yang khusus dipakai sebagai sebagai pasak luncur. luncur. Di sampin samping g macam macam di atas atas ada pula pasak pasak tembereng dan pasak jarum. Pasak luncur memungkinkan pergeseran aksial roda gigi, dan lain lain lain lain pada pada porosn porosnya, ya, sepert sepertii pada pada seplai seplain. n. Yang Yang paling paling umum umum dipakai dipakai adalah adalah pasak pasak benam benam yang dapat dapat meneru meneruska skan n momen momen yang yang besar. Untuk momen dengan tumbukan, dapat dipakai pasak singgung.
2.2.2
Hal-hal Hal-hal pen penting ting dan tata cara pere perencan ncanaan aan pasak pasak
Pasak Pasak benam benam mempuny mempunyai ai bentuk bentuk penampa penampang ng segi segi empat empat di mana terdapat bentuk prismatis dan tirus yang kadang kadang diberi
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Menuru Menurutt lamban lambang g pasak pasak yang yang diperl diperliha ihatka tkan n dalam dalam gambar gambar (Sularso hal. 25 gambar 1.5), gaya geser bekerja pada penampang mendatar b mendatar b x l (mm l (mm2) oleh gaya F gaya F (kg). (kg).
Gambar 1.11 Gaya Gesek Pada Pasak
Deng Dengan an
demi demiki kian an
tega tegang ngan an
gese geser r τ k k
(kg/mm2)
yang
ditimbulkan adalah: (Sularso hal. 25) τ k
=
F bl
......................................................................10
2 Dari tegangan geser yang diijinkan τ ka ka (kg/mm ), panjang pasak
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p
=
F l × ( t 1ataut 2 )
....................................................................12
dari dari harga harga tekana tekanan n permuk permukaan aan yang diijin diijinkan kan pa (kg/mm2), panjang pasak yang diperlukan dapat dihitung dari: (Sularso hal. 27) pa
≥
F l × ( t 1ataut 2 )
..................................................................13
Harga pa adalah sebesar 8 (kg/mm2) untuk poros berdiameter kecil, 10 (kg/mm2) untuk poros berdiameter besar, dan setengah dari harga harga di atas untuk poros berputaran tinggi. Perlu diperhatikan bahwa lebar pasak sebaiknya 25-35% dari diam diamet eter er poros poros,, dan dan panj panjan ang g pasak pasak ( l k k ) jangan jangan terlal terlalu u panjang panjang dibandi dibandingka ngkan n dengan dengan diamet diameter er poros poros (antar (antaraa 0,75 0,75 sampai sampai 1,5 d s). Karena lebar dan tinggi pasak sudah distandarkan, maka beban yang ditimb ditimbulka ulkan n oleh oleh gaya gaya F yang yang besa besarr henda hendakn knya ya diat diatas asii denga dengan n menyesuaikan panjang pasak.
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kabel kabel atau atau tali. tali. Dari Dari macammacam-mac macam am transm transmis isii dibagi dibagi atas atas tiga tiga kelompok. Dalam kelompok pertama, sabuk rata dipasang pada puli silinder dan meneruskan momen antara dua poros yang jaraknya dapat sampai 10 (m) dengan perbandingan putaran antara 1/1 sampai 7/1. Kelompok terakhir terakhir terdiri dari atas sabuk dengan gigi gigi yang yang digera digerakkan kkan dengan dengan sproket sproket pada jarak jarak pusat pusat sampai sampai mencap mencapai ai 2 (m), (m), dan meneru meneruska skan n putara putaran n secara secara tepat tepat dengan dengan perbandingan antara 1/1 sampai 6/1. sabuk rata yang banyak ditulis dalam buku-buku lama belakangan ini pemakainnya tidak seberapa
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Transmisi sabuk-V hanya dapat menghubungkan poros -poros yang yang sejaja sejajarr dengan dengan arah arah putara putaran n yang yang sama. sama. Diband Dibanding ingkan kan dalam dalam transmisi roda gigi atau rantai, sabuk-V bekerja lebih halus dan tidah bersuara. Untuk mempertinggi daya yang ditransmisikan dapat dipakai
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dima dimana na:: K adal adalah ah fakt faktor or korek koreksi si yang yang dapa dapatt dili diliha hatt dala dalam m tabe tabell (Sularso hal. 166 tabel 5.2).
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5
d s1 +10( mm ) 3 ...............................................................25 5 D B ≥ d s 2 +10( mm ) 3 d B
≥
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Diameter minimum puli yang dianjurkan dapat diperoleh dari table 5.4 (Sularso, (Sularso, hal 169) sesuai dengan penampang sabuk – v
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Tabel 5.4 Diameter minimum puli yang diijinkan dan dianjurkan dalam (mm). (Sularso hal 169)
Penampang
A
B
C
D
E
Diameter yang diijinkan
65
115
175
300
450
Diameter yang dianjurkan
95
145
225
350
550
Lampiran 9
Tabel 5.7 Faktor koreksi
K
(Sularso hal 174 )
Dp – dp C
0,00 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90 1,00 1,10 1,20 1,30 1,40 1,50
Sudut kontak puli kecil θ
Faktor koreksi K θ
180 174 169 163 157 151 145 139 133 127 120 113 106 99 91 83
1,00 0,99 0,97 0,96 0,94 0,93 0,91 0,89 0,87 0,85 0,82 0,80 0,77 0,73 0,70 0,65
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Lampiran 10 , Y 0 Tabel 4.9 Faktor-faktor V, X, Y, dan X 0 ,
(Sularso hal 135) Beban putar pada cicin dalam
Jenis Bantalan
Beban putar pada cicin luar
Baris tunggal
Baris ganda
Fa/VFr >e >e
Fa/VFr e >e
V Fa/C0 = 0,014 = 0,028 = 0,056 Bantalan = 0,084 bola alur = 0,11 dalam = 0,17 = 0,28 = 0,42 = 0,56 0 α = 20 Bantala = 250 n bola = 300 sudut = 350 = 400
1
1
X
1,2
0,56
1,2
0,43 0,41 0,39 0,37 0,35
Y 2,30 1,99 1,71 1,55 1,45 1,31 1,15 1,04 1,00 1,00 0,87 0,76 0,66 0,57
X
Y
X
1
0
0,56
1
1,09 0,92 0,78 0,66 0,55
0,70 0,67 0,63 0,60 0,57
Y 2,30 1,90 1,71 1,55 1,45 1,31 1,15 1,04 1,00 1,63 1,41 1,24 1,07 0,93
Baris tunggal
e
0,19 0,22 0,26 0,28 0,30 0,34 0,38 0,42 0,44 0,57 0,68 0,80 0,95 1,14
Baris ganda
X0
Y0
X0
0,6
0,5
0,6
0,5
1
0,84 0,76 0,66 0,58 0,52
0,42 0,38 0,5 0,33 0,29 0,26
Lampiran 11 Tabel 4.11 Bantalan untuk permesinan serta umurnya (Sularso hal 137) Umur Lh Faktor beban f w
2000 - 4000 (jam) Pemakaian jarang
1-1,1
Alat listrik rumah tangga, sepeda
Kerja halus tanpa tumbukan
5000 - 15000 (jam) Pemakaian sebentarsebentar (tidak terus menerus) Konveyor, mesin pengangkat, lift,tangga jalan
20000 - 30000 (jam) Pemakaian terus-menerus
40000 - 60000 (jam) Pemakaian terus menerus dengan keandalan Tinggi
Pompa, poros transmisi, separator, pengayak,mesin perkakas, pres
Poros transmisi utama yang memegang perananpenting, motor-motor
Y0
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1.11.3
Kerja biasa
1.21.5
Kerja dengan getaran atau tumbukan
Mesin pertanian gerinda tangan
Otomobi, mesin jahit
Motor kecil, roda meja, pemegang pinyon, roda gigi reduksi, kereta rel
Alat-alat besar, unit roda gigi denan getaran besar, rolling mill
Penggerak, penghancur
Pompa penguras,mesin pabrik kertas, rol kalender, kipasangin,kran, penggilingbola, motor utama kereta rel listrik
Lampiran 12 Tabel 4.14 ukuran bantalan gelinding (Sularso hal 143) Nomor bantalan Jenis terbuka 6000 6001 6002 6003 6004 6005 6006 6007 6008 6009 6010
Dua sekat
6001ZZ 02ZZ 6003ZZ 04ZZ 05ZZ 6006ZZ 07ZZ 08ZZ 6009ZZ 10ZZ
Dua sekat tanpa kontak 6001VV 02VV 6003VV 04VV 05VV 6006VV 07VV 08VV 6009VV 10VV
Ukuran luar (mm) d
D
B
r
10 12 15 17 20 25 30 35 40 45 50
26 28 32 35 42 47 55 62 68 75 80
8 8 9 10 12 12 13 14 15 16 16
0. 5 0. 5 0. 5 0. 5 1 1 1. 5 1. 5 1. 5 1. 5
Kapasitas nominal dinamis spesifikC(kg ) 360 400 440 470 735 790 1030 1250 1310 1640 1710
Kapasitas nominal statis SpesifikCa (kg) 196 229 263 296 465 530 740 915 1010 1320 1430
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6201 6202 6203 6204 6205 6206 6207 2608 2609 6210
01ZZ 02ZZ 6203ZZ 04ZZ 05ZZ 6206ZZ 07ZZ 08ZZ 6209ZZ 10ZZ
01VV 02VV 6203VV 04VV 05VV 6206VV 07VV 08VV 6209VV 10VV
12 15 17 20 25 30 35 40 45 50
32 35 40 47 52 62 72 80 85 90
10 11 12 14 15 16 17 18 19 20
6300 6301 6302 6303 6304 6305 6306 6307 6308 6309 6310
6300ZZ 01ZZ 02ZZ 6303ZZ 04ZZ 05ZZ 6306ZZ 07ZZ 08ZZ 6309ZZ 10ZZ
6300VV 01VV 02VV 6303VV 04VV 05VV 6306VV 07VV 08VV 6309VV 10VV
10 12 15 17 20 25 30 35 40 45 50
35 37 42 47 52 62 72 80 90 100 110
11 12 13 14 15 17 19 20 23 25 27
1 1 1 1. 5 1. 5 1. 5 2 2 2 2 1 1. 5 1. 5 1. 5 2 2 2 2. 5 2. 5 2. 5 3
535 600 750 1000 1100 1530 2010 2380 2570 2750
305 360 460 635 730 1050 1430 1650 1880 2100
635 760 895 1070 1250 1610 2090 2620 3200 4150 4850
365 450 545 660 785 1080 1440 1840 2300 3100 3650