Hitungan PEM

beban max 5000 kg η 0.8Gaya angkat (F) 49050 NKecepatan angkat drum (V) 0.3 m/sDaya Transmisi (P) 19.62 hpdaya motor (Pmotor) 24.525 hpDaya motor dari katalog 30 hp General purpose CT ODPputaran input 1200 rpmputaran output 30 rpm

velocity ratio (i) worm set 10spur set 1 2spur set 2 2

Worm Gear Set

20 Tabel 11.1Y 0.392Rasio putaran Pengecekan diameter wormnw 1200 rpm dwng 120 rpmNtw 4 teeth Pemilihan MaterialNtg 40 teeth Sminimal

Material =Asumsi jarak antar sumbu (c') Smaterialc' 10 in BHN

diameter worm (dw) 3.40861 in Gaya Bending (Fb)dw (pembulatan) 4 in Fb > Fd

circular pitch (pg) 1.333333 pg = pw Cek Keausan

diametral pitch (Pg) 2.355 teeth/in FwPg (pembulatan) 3 teeth/in Fw>Fd

diameter gear (dg) 13.33333 in Panjang Worm (L)jarak antar sumbu aktual (c) 8.666667 in Gaya Normal (Fn)

Gaya Thrust (Fa)lead (ℓ) 5.333333 in Gaya radial (Fr)angle of lead (λw) Sliding Velocity (Vs)tan(λw) 0.424628 Berat Roda Gigi (W)λw 17.7 λw =ψg ρ

WwNormal diametral pitch (Png) 3.15 teeth/in Wg

Picth line velocity of gear (Vp) Analisa Kekuatan (AGMA)Vpg 418.6667 ft/minVpw 1256 ft/min Patahan

Worm Gear (Worm)

θn

K1

Torsi (T) σtTw 1030.05 lb-in SadTg 10300.5 lb-in Cek

Gaya tangensial (Ft) Worm Gear (Gear)Ftg 1545.075 lb Ftg = Ftw σt

SadLebar gigi (b) 2 in CekGaya dinamik (Fd) 2623.194 lb

Analisa Kekuatan (LEWIS)FbCek

Pengecekan diameter worm3.0074464 in

No Karakteristik1 Diameter

10539.619 psi 2 Lebar

SAE 2320 case hardened and WQT 3 Sudut Tekan

50000 psi 4 Sudut Lead225 5 Jumlah Gigi

6 Bahan13066.667 psi

AMAN

115 Tabel 11.23066.6667 lb

AMAN

7.0666667 in1725.9378 lb493.09642 lb 493.0964

590.3055 lb 590.30551318.4117 ft/min

0.28 lb/in^37.0336 lb

78.151111 lb 78.15111

Analisa Kekuatan (AGMA)

KeausanWorm Gear (Worm) Cv

15245.279 psi σc 153003.9 Worm51428.571 Sad 168000 Gear

AMAN, Cek AMAN

Worm Gear (Gear)14203.16 σc 57217.39

51428.571 Sad 168000AMAN, Cek AMAN

Analisa Kekuatan (LEWIS)13066.667

AMAN

Worm Gear4 in 13,33 in

2 in

4 40SAE 2320 case hardened and WQT SAE 2320 case hardened and WQT

20o FD

17,7o

0.8292090237311670.890050027318326


Spur Gear Set 1Velocity ratio (i) 2np 120 rpmng 60 rpmJarak antar sumbu (c)asumsi 9 indiameter gear diasumsikan dg = 2dpPinion (dp) 6 inGear (dg) 12 inDiametral pitch (P) 5 teeth/in (asumsi)Jumlah gigipinion ( Ntp) 30 teethgear (Ntg) 60 teethθ 20 Full depthaddendum 0.2 in

Tabel 10.1dedendum 0.25 inPitch line velocity (Vp)Pinion (Vpp) 188.4 ft/min

Gear (Vpg) 188.4 ft/minTorsiPinion (Tp) 10300.5 lb-inGear (Tg) 20601 lb-in 20601Gaya TangensialPinion (Ftp) 3433.5 lb 3433.5Gear (Ftg) 3433.5 lbGaya Radial (Fr) 1249.692 lb tan20 = 0.36397Gaya DinamikPinion (Fdp) 4511.619 lbGear (Fdg) 4511.619 lbLebar GigiBatas 9/P<b<13/Pasumsi lebar (b) 2 in

Gaya Keausan Material SAE 3145 hardened by OQTQ 1.333333 So 53000 psiFw 5856 BHN 475Pengecekan AMAN K 366 Dari tabel 10.11

Kekuatan MaterialYp 0.358 Tabel 10.2Yg 0.421Spinion 31505.72 psi Pengecekan Spnion AMANSgear 26791.09 psi Pengecekan Sgear AMANGaya Bending (Fb)Pinion (Fbp) 7589.6 Pengecekan AMANGear (Fbg) 8925.2 Pengecekan AMANBerat Roda gigi (W)ρ 0.28 Appedix A.16Pinion (Wp) 15.8256 lb 15.8256Gear (Wg) 63.3024 lb 63.3024

ANALISA KEKUATAN (LEWIS)

Cv 0.922149508328734

Analisa Kekuatan (AGMA)

PinionPatahan Keausanσt 31028.048859 σcSad 53233.082707 SadCek AMAN Cek

GearPatahan Keausanσt 31028.048859 σcSad 53233.082707 SadCek AMAN Cek

No Karakteristik Pinion Gear1 Diameter 6 in 12 in2 Lebar 2 in3 Sudut Tekan4 Jumlah Gigi 30 605 Bahan SAE 3145 hardened by OQT SAE 3145 hardened by WQT

1249.692

SAE 3145 hardened by OQT

Dari tabel 10.11

20o FD

147017.895913211182400

AMAN

103957.351156009182400

AMAN


Spur Gear Set 1Velocity ratio (i) 2np 60 rpmng 30 rpmJarak antar sumbu (c)asumsi 9 indiameter gear diasumsikan dg = 2dpPinion (dp) 6 inGear (dg) 12 inDiametral pitch (P) 5 teeth/in (asumsi)Jumlah gigipinion ( Ntp) 30 teethgear (Ntg) 60 teethθ 20 Full depthaddendum 0.2 in Tabel 10.1dedendum 0.25 inPitch line velocity (Vp)Pinion (Vpp) 94.2 ft/minGear (Vpg) 94.2 ft/min

TorsiPinion (Tp) 20601 lb-inGear (Tg) 41202 lb-in 41202Gaya TangensialPinion (Ftp) 6867 lb 6867Gear (Ftg) 6867 lbGaya Radial (Fr) 2499.384 lb tan20 = 0.36397 2499.384Gaya DinamikPinion (Fdp) 7945.119 lbGear (Fdg) 7945.119 lbLebar GigiBatas 9/P<b<13/Pasumsi lebar (b) 3 in

Gaya Keausan Material SAE 3145 hardened by OQTQ 1.333333 So 53000 psi

Fw 8784 BHN 475Pengecekan AMAN K 366 Dari tabel 10.11

Kekuatan MaterialYp 0.358 Tabel 10.2Yg 0.421Spinion 36988.45 psi Pengecekan Spnion AMANSgear 31453.36 psi Pengecekan Sgear AMANGaya Bending (Fb)Pinion (Fbp) 11384.4 Pengecekan AMANGear (Fbg) 13387.8 Pengecekan AMANBerat Roda gigi (W)ρ 0.28 Appedix A.16Pinion (Wp) 23.7384 lb 23.7384Gear (Wg) 94.9536 lb 94.9536

ANALISA KEKUATAN (LEWIS)

Cv 0.943047286781395

Analisa Kekuaan (AGMA)

PinionPatahan Keausanσt 40453.96295 σc 167870.160555756Sad 53233.082707 Sad 182400Cek AMAN Cek AMAN

GearPatahan Keausanσt 40453.96295 σc 132713.014633586Sad 53233.082707 Sad 182400Cek AMAN Cek AMAN

No Karakteristik Pinion Gear1 Diameter 6 in 12 in2 Lebar 3 in3 Sudut Tekan4 Jumlah Gigi 30 605 Bahan SAE 3145 hardened by OQT SAE 3145 hardened by WQT

SAE 3145 hardened by OQT

20o FD

Dari tabel 10.11

POROS 1ASUMSI Di 0

Do HOMOGENKsb = Kst 1Mm 0N 2 N

Tw 1030.05 lb-inFtw 1545.075 lb a 6Faw 493.0964 lb b 6Fr 590.3055 lb 583.2719Ww 7.0336 lb

Rav 291.63595 291.63595 Rah 772.5375 772.5375Rbv 291.63595 Rbh 772.5375

Mch 2242.9134Mcv 5128.32MC 5597.3499571

dw 4 in AsumsiMc 5597.3499571 lb.in Material AISI 4063mTc 3090.15 lb.in Su 345000 Cs32N/Syp 0.00024902724 Syp 257000 CfKsb(Syp/Se*Mr)^2 580353932.819 N 2 Kf3/4Kst™^2 7161770.26688 Ksb 1 Cw

Kst 1 S'ntotal 24238.7232148 DMF 1.64 Se

6.03610227918 Cr 0.8688Do 1.82075787371 in

1.981797286

Diagram momen sumbu X-Y

Diagram Momen sumbu X-Z

POROS 2

T 10300.5 lb.in a1Ftgw 1545.075 lb b1Fagw 493.0964 lb a2Frgw 590.3055 lb b2Wgw 78.15111 lbFtps 3433.5 lbFrps 1249.692 lb dgw 13.33Wps 15.8256 lb

TITIK CRav 817.7218575 Mcv 19126.7Rah 300.43125 Mch 7182.99

MC 20431.01TC 10297.92

Perhitungan diameter poros menggunakan MD karena MD>MCdp 6 in AsumsiMD 20431.005806 lb.in MaterialTc 10297.924875 lb.in Su32N/Syp 0.0002490272 SypKsb(Syp/S 7732278800 N

0.85 3/4Kst™^279535442.548 Ksb0.75 Kst

1.6 total 88384.468336 DMF1 22.010139975 Cr

172500 Do 2.8024697586 in59713.03

2.282712422



Poros 3

N

-7182.985

3 T 206019 668.4566 1265.518 Ftg 3433.593 Frg 1249.692

Wg 63.3024Ftp 6867

dp 6 Frp 2499.384Wp 23.7384

TITIk DMdv 2732.385 Rav 1428.1251Mdh 7182.93 Rah 1502.15625MD 7685.077TD 10300.5

Perhitungan diameter poros menggunakan MD karena MD>MC Perhitungan diameter poros menggunakan MG karena MG>MFdp 6 in

AISI 4063m MD 16253.013074 lb.in345000 Cs 0.85 Tc 20601 lb.in257000 Cf 0.75 32N/Syp 0.0002490272

2 Kf 1.6 Ksb(Syp/Se 48932316921 Cw 1 3/4Kst™^2 318300900.751 S'n 172500

1.64 Se 59713.03 total 72190.9453670.8688 17.977511687

Do 2.619649531 in

2.614687518



Poros 4

-3433.5 -4935.656 -1480724034.5

1502.156 4506.469

-14807

a1 3 T 41202b1 13 Ftg 6867a2 13b2 3 Frg 2499.384

Wg 94.9536

dg 12 dp 6Rav 1297.1688

TITIK F TITIk G Rbv 1297.1688Mfv 4284.375 Mgv 6701.73Mfh 4506.469 Mgh 14807 Mch 10300.5MF 6218.049 MG 16253.01 Mcv 3120TF 20601 TG 20601 MC 10762.6530303

Perhitungan diameter poros menggunakan MG karena MG>MFAsumsi dw 12Material AISI 4063m Mc 10762.6530303Su 345000 Cs 0.85 Tc 41202Syp 257000 Cf 0.75 32N/Syp 0.00024902724N 2 Kf 1.6 Ksb(Syp/S 2145688579.28Ksb 1 Cw 1 3/4Kst™^2 1273203603Kst 1 S'n 172500DMF 1.64 Se 59713.03 total 58471.2936601Cr 0.8688 14.5609447247

Do 2.44191111163

2.760681571

Diagram momen sumbu X-Y Diagram momen sumbu X-Y

Diagram Momen sumbu X-Z Diagram Momen sumbu X-Z

Diameter Kritis

2.44

25.4001

2404.43 8069.2157213.2911202.215 3606.646 4635.7151202.215

206013433.5 10300.5

lb-inlb a 3

b 3lb 2594.338lb

Rah 3433.5Rbh 3433.5

in Asumsilb.in Material AISI 4063mlb.in Su 345000 Cs 0.85

Syp 257000 Cf 0.75N 2 Kf 1.6Ksb 1 Cw 1Kst 1 S'n 172500DMF 1.64 Se 59713.03Cr 0.8688

in



POROS I POROS II POROS III POROS IV1,82 2,28 2,62 2,44

in 61.97624 mm

Mch 609.355Mcv 209.435MC 644.3419

Pasak 1 Pasak 2T 1030.05 T 10300.5Dporos 2.362195 in 60 mm Dporos 2.559045 in 65W 0.5 W 0.625H 0.5 H 0.625Material AISI C1141 Material AISI C1141Syp 188000 Syp 188000N 2 N 2

Rasio W/D Rasio W/D w 0.211667 w 0.244232Rasio H/D Rasio H/Dh 0.211667 h 0.244232Kekuatan relative Kekuatan relativee 0.724832 e 0.682499Panjang Pasak Panjang PasakL 3.682958 3.68296 L 3.255932Tegangan Geser Tegangan GeserSs 473.5934 Ss 3955.988Ssyp 109040 Ssyp/N 54520 Ssyp 109040 Ssyp/NCek AMAN Cek AMANTegangan Kompresi Tegangan KompresiSc 947.1869 Sc 7911.977Scyp 188000 Scyp/N 94000 Scyp 188000 Scyp/NCek AMAN Cek AMAN

Pasak 3 Pasak 4T 20601 T 41202

mm Dporos 3.346444 in 85 mm Dporos 3.149594W 0.75 W 0.75H 0.75 H 0.75Material AISI C1141 Material AISI C1141Syp 188000 Syp 188000N 2 N 2

Rasio W/D Rasio W/D w 0.224119 w 0.238126Rasio H/D Rasio H/Dh 0.224119 h 0.238126Kekuatan relative Kekuatan relativee 0.708646 e 0.690436Panjang Pasak Panjang PasakL 4.817621 L 4.157853Tegangan Geser Tegangan GeserSs 3407.539 Ss 8390.027

54520 Ssyp 109040 Ssyp/N 54520 Ssyp 109040Cek AMAN Cek AMANTegangan Kompresi Tegangan KompresiSc 6815.078 Sc 16780.05

94000 Scyp 188000 Scyp/N 94000 Scyp 188000Cek AMAN Cek AMAN

AISI C1141

in 80 mm POROS I POROS II POROS III POROS IVW 0,5 0,625 0,75 0,75H 0,5 0,625 0,75 0,75

AISI C1141 L 3.68296 325,593 481,762 415,785

Ssyp/N 54520

Scyp/N 94000

Bearing Poros 1Dporos 2.362195 in 60 mmDmin 1.981797 in 50.3378492441286 mmn 1200 rpmumur bearing 5000

0Bearing AGaya ReaksiFa 493.0964Rav 291.636Rah 772.5375Fr 932.892

Beban EquivalentP 1286.719 X 0.56

V 1Y 1.55

Beban DinamikC 9153.444 lbTipe Bearing SKF 22212 E/W64C 35070.2 lbf 156,000 Nd 60 mmD 110 mm

Bearing BGaya ReaksiFa 493.0964Rav 291.636Rah 772.5375Fr 825.7516

0.224809Beban EquivalentP 462.4209 X 0.56

V 1Y 1.55

Beban DinamikC 3289.564 lbTipe Bearing SKF 22212 E/W64C 35070.2 lbf 156,000 Nd 60 mmD 110 mm

Bearing Poros 2 Bearing Poros 3Dporos 2.362195 in 60 mm DporosDmin 2.282712 in 57.98112 mm Dminn 120 rpm numur bearing 5000 umur bearing

Bearing A Bearing AGaya Reaksi Gaya ReaksiFa 493.0964 FaRav 2844.769 RavRah 505.883 13 RahFr 2889.399 Fr

Beban Equivalent Beban EquivalentP 2382.363 X 0.56 P

V 1Y 1.55

Beban Dinamik Beban DinamikC 7866.389 lb CTipe Bearing SKF 22212 E/W64 Tipe BearingC 35070.2 lbf 156,000 N Cd 60 mm dD 110 mm D

Bearing B Bearing BGaya Reaksi Gaya ReaksiFa 0 FaRav 910.795 RavRah 2394.31 RahFr 2561.692 Fr

Beban Equivalent Beban EquivalentP 1434.548 X 0.56 P

V 1Y 1.55

Beban Dinamik Beban DinamikC 4736.772 lb CTipe Bearing SKF 22212 E/W64 Tipe BearingC 35070.2 lbf 156,000 N Cd 60 mm dD 110 mm D

Bearing Poros 42.755895 in 70 mm Dporos 2.952744 in 752.614688 in 66.41332 mm Dmin 2.760682 in 70.1216

60 rpm n 30 rpm5000 umur bearing 5000

Bearing AGaya Reaksi

0 Fa 01428.125 Rav 1202.2151502.156 Rah 3433.52072.683 Fr 3637.89

Beban Equivalent2072.683 X 1 P 3637.89 X 1

V 1 V 1Y 1.55 Y 1.55

Beban Dinamik5431.965 lb C 7567.116 lb

SKF 22214 E/W64 Tipe Bearing SKF 22215 E/W6446760.26 lbf 208,000 N C 47659.5 lbf 212,000

70 mm d 75 mm125 mm D 130 mm

Bearing BGaya Reaksi

0 Fa 02233.91 Rav 1202.2154935.66 Rah 4635.715

5417.665 Fr 4789.068

Beban Equivalent5417.665 X 1 P 4789.068 X 1

V 1 V 1Y 1.55 Y 1.55

Beban Dinamik14198.3 lb C 9961.663 lb

SKF 22214 E/W64 Tipe Bearing SKF 22215 E/W6446760.26 lbf 208,000 N C 47659.5 lbf 212,000

70 mm d 75 mm125 mm D 130 mm

mmmm

N

N

Dporos motor 60.00012 mm 2.3622 in Dimensi PasakMaterial Baut AISI 1020 appendix A2 W 0.5 in

Syp 43000 psi L 3.68296 inSu 65000 psi ANALISA KEKUATAN BAUT

Daya Motor 30 hp Ft 1333.503 lb.inPutaran Motor 1200 rpmTorsi Motor 1575 lb.in asumsi tegangan geser murniJumlah Baut (n) 4.1811n 5 (pembulatan)

Penentuan Dimensi Kopling Ssyp 24940 psiPanjang naf (L) N 2L 7.2244 in maka luas penampang melintang baut yang direncanakan (A)Diameter naf (Dn) A 0.021387 in^2Dn 4.38385 in Diameter Baut (Db)Diameter flange (Df) Db 0.165061 inDf 8.4055 in

ANALISA SLIP PADA KOPLINGDiameter friction face Gaya Tekan Baut (Fo)Luar (di) 4.38385 in Fo 7369.318 psiDalam (do) 8.4055 in kekuatan minimal 2899.068 psi

cek AMAN

NS

AnF sypt

NS

AnF sypt

µ 0.3

65.40017

4.7244 7.2244

maka luas penampang melintang baut yang direncanakan (A)(nilai minimal)

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